Problem 502. Would Homer Like It?

Created by Ned Gulley

Solve Later

{"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:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given a matrix of ones and zeros, you must determine if there are any doughnuts present (would Homer Simpson like it?). A doughnut is a </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/4-connected_neighborhood\"><w:r><w:t>4-connected region</w:t></w:r></w:hyperlink><w:r><w:t> of ones completely enclosing a 4-connected region of zeros. You can assume that any regions of ones are either blobs (or</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Genus_%28mathematics%29\"><w:r><w:t>genus 0</w:t></w:r></w:hyperlink><w:r><w:t>) or doughnuts (genus 1). Thus if you find any hole in a region of ones, it is a doughnut. Also, there are no nested doughnuts.</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>Return true if any doughnuts are present, otherwise false.</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>Examples:</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>This is a doughnut:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ 1 1 1\n 1 0 1 \n 1 1 1]]></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>Here is another doughnut:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ 0 0 0 1 1 1\n 0 1 1 1 0 1\n 0 0 1 0 0 1\n 0 0 1 1 1 1]]></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>This is not a doughnut:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ 0 1 0\n 1 0 1\n 0 1 0]]></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>because the ones are not 4-connected and so can't surround 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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

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" data-image-state="image-loaded"></div><div style="block-size: 105px; 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: 309px 52.5px; text-align: left; transform-origin: 309px 52.5px; 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: 0px 0px; transform-origin: 0px 0px; "><span style="">Given a matrix of ones and zeros, you must determine if there are any doughnuts present (would Homer Simpson like it?). A doughnut is a </span></span><a target='_blank' href = "http://en.wikipedia.org/wiki/4-connected_neighborhood"><span style=""><span style="">4-connected region</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: 0px 0px; transform-origin: 0px 0px; "><span style=""> of ones completely enclosing a 4-connected region of zeros. You can assume that any regions of ones are either blobs (or</span></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: 0px 0px; transform-origin: 0px 0px; "><span style=""> </span></span><a target='_blank' href = "http://en.wikipedia.org/wiki/Genus_%28mathematics%29"><span style=""><span style="">genus 0</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: 0px 0px; transform-origin: 0px 0px; "><span style="">) or doughnuts (genus 1). Thus if you find any hole in a region of ones, it is a doughnut. Also, there are no nested doughnuts.</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: 309px 10.5px; text-align: left; transform-origin: 309px 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: 0px 0px; transform-origin: 0px 0px; "><span style="">Return true if any doughnuts are present, otherwise false.</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: 309px 10.5px; text-align: left; transform-origin: 309px 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: 0px 0px; transform-origin: 0px 0px; "><span style="">Examples:</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: 309px 10.5px; text-align: left; transform-origin: 309px 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: 0px 0px; transform-origin: 0px 0px; "><span style="">This is a doughnut:</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 60px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 329px 30px; transform-origin: 329px 30px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 1 1 1</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 1 0 1 </span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 1 1 1</span></span></div></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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; "><span style="">Here is another doughnut:</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 80px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 329px 40px; transform-origin: 329px 40px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 0 0 0 1 1 1</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 0 1 1 1 0 1</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 0 0 1 0 0 1</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 0 0 1 1 1 1</span></span></div></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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; "><span style="">This is not a doughnut:</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 60px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 329px 30px; transform-origin: 329px 30px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 0 1 0</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 1 0 1</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> 0 1 0</span></span></div></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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; "><span style="">because the ones are not 4-connected and so can't surround anything.</span></span></div></div></div>

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Last Solution submitted on Oct 24, 2020

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Alfonso Nieto-Castanon on 15 Mar 2012

mmm... the image processing toolbox seems to be available again?

Ned Gulley on 16 Mar 2012

Oh! Thanks for pointing that out. It will disappear again shortly. Sorry about that.

Alfonso Nieto-Castanon on 16 Mar 2012

Sounds good (it was too easy this way)

Ned Gulley on 19 Mar 2012

Okay, we should be back to no-toolbox coding.

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images topology

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Problem 502. Would Homer Like It?

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Problem 502. Would Homer Like It?

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