Problem 54285. Palindrome Problem 1

Created by CXD

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{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Continued Problem 50033: A palindrome </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>p</w:t></w:r></w:customXml><w:r><w:t> is one-thirteenth of the sum of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>m^2</w:t></w:r></w:customXml><w:r><w:t> and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n^2</w:t></w:r></w:customXml><w:r><w:t>, where </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>m</w:t></w:r></w:customXml><w:r><w:t> and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t> are also palindrome. Give an example of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>(m,n,p)</w:t></w:r></w:customXml><w:r><w:t>. </w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 43.9px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 331.5px 21.95px; transform-origin: 331.5px 21.95px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 308.5px 21.95px; text-align: left; transform-origin: 308.5px 21.95px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">Continued Problem 50033: A palindrome p<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "> is one-thirteenth of the sum of <img src="data:image/png;base64,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" width="20" height="22.5" style="width: 20px; height: 22.5px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "> and <img src="data:image/png;base64,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" width="16.5" height="22.5" style="width: 16.5px; height: 22.5px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">, where m<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "> and n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "> are also palindrome. Give an example of <img src="data:image/png;base64,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" width="54.5" height="18" style="width: 54.5px; height: 18px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">. </div></div></div>

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12 Solutions
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Last Solution submitted on Apr 30, 2022

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3 Comments

3 Comments

Lincoln Poon on 14 Apr 2022

Sorry I might have discovered a loophole.

William on 14 Apr 2022

Did you mean to write 'assert(all(y) > 0);' ?

Tim on 19 Apr 2022

Also there are too many yy1's.

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Solution 7915020

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1 Comment

Dyuman Joshi on 14 Apr 2022

Solution has been rescored, this doesn't work anymore

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numbers palindrome

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Problem 54285. Palindrome Problem 1

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Problem 54285. Palindrome Problem 1

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