Problem 53880. List the vile numbers

Created by ChrisR

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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>Evil numbers, the subject of </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/2733\"><w:r><w:rPr><w:u/></w:rPr><w:t>Cody Problem 2733</w:t></w:r></w:hyperlink><w:r><w:t> have an even number of ones in their binary representations, whereas odious numbers, the subject of </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/2734\"><w:r><w:rPr><w:u/></w:rPr><w:t>Cody Problem 2734</w:t></w:r></w:hyperlink><w:r><w:t>, have an odd number of ones in their binary representations. For example, the numbers 3, 6, 10, and 12 are evil, and the numbers 2, 4, 7, and 14 are odious.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Vile numbers have binary representations that end with an even number of zeros (including zero zeros). Therefore, the numbers 3 and 12 are evil and vile, and the numbers 4 and 7 are odious and vile. The numbers 6 and 10 are evil but not vile, and the numbers 2 and 14 are odious but not vile. Got it?</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function to determine the </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"n\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t>th vile number. </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: 20.4333px; 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: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 165px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 82.5px; transform-origin: 407.5px 82.5px; vertical-align: baseline; "><div style="block-size: 63px; 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: 384.5px 31.5px; text-align: left; transform-origin: 384.5px 31.5px; 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: 87.9px 7.66667px; transform-origin: 87.9px 7.66667px; unicode-bidi: normal; "><span style="">Evil numbers, the subject of </span></span><a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/2733"><span style=""><span style="text-decoration-line: underline; ">Cody Problem 2733</span></span></a><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: 220.95px 7.66667px; transform-origin: 220.95px 7.66667px; unicode-bidi: normal; "><span style=""> have an even number of ones in their binary representations, whereas odious numbers, the subject of </span></span><a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/2734"><span style=""><span style="text-decoration-line: underline; ">Cody Problem 2734</span></span></a><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: 203.433px 7.66667px; transform-origin: 203.433px 7.66667px; unicode-bidi: normal; "><span style="">, have an odd number of ones in their binary representations. For example, the numbers 3, 6, 10, and 12 are evil, and the numbers 2, 4, 7, and 14 are odious.</span></span></div><div style="block-size: 63px; 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: 384.5px 31.5px; text-align: left; transform-origin: 384.5px 31.5px; 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: 368.633px 7.66667px; transform-origin: 368.633px 7.66667px; unicode-bidi: normal; "><span style="">Vile numbers have binary representations that end with an even number of zeros (including zero zeros). Therefore, the numbers 3 and 12 are evil and vile, and the numbers 4 and 7 are odious and vile. The numbers 6 and 10 are evil but not vile, and the numbers 2 and 14 are odious but not vile. Got it?</span></span></div><div style="block-size: 21px; 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: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; 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: 102.942px 7.66667px; transform-origin: 102.942px 7.66667px; unicode-bidi: normal; "><span style="">Write a function to determine the </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">n</span><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: 47.45px 7.66667px; transform-origin: 47.45px 7.66667px; unicode-bidi: normal; "><span style="">th vile number. </span></span></div></div></div>

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Problem 53880. List the vile numbers

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Problem 53880. List the vile numbers

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