Problem 52168. Peg Solitaire - Apply Move

Created by Mehmet OZC

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:r><w:t>About </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Peg_solitaire\"><w:r><w:t>Peg Solitaire</w:t></w:r></w:hyperlink><w:r><w:t> .</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/52163\"><w:r><w:t>Previous Problem</w:t></w:r></w:hyperlink><w:r><w:t>.</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>Consider inital board;</w:t></w:r></w:p><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=\"253\"/><w:attr w:name=\"width\" w:val=\"356\"/><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>If we move the peg located on (4,6) to the left (4) direction. the next board will look like;</w:t></w:r></w:p><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=\"253\"/><w:attr w:name=\"width\" w:val=\"356\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId2\"/></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></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 that will return the next board after applying the move. Assume all of the moves (second input of the function) are legal 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","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: 724.851px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.491px 362.42px; transform-origin: 406.497px 362.425px; vertical-align: baseline; "><div style="block-size: 20.5882px; 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: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; 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="">About </span></span><a target='_blank' href = "https://en.wikipedia.org/wiki/Peg_solitaire"><span style=""><span style="">Peg Solitaire</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=""> .</span></span></div><div style="block-size: 20.5882px; 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: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/52163"><span style=""><span style="">Previous Problem</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="">.</span></span></div><div style="block-size: 20.5882px; 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: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; 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="">Consider inital board;</span></span></div><div style="block-size: 258.881px; 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: 383.49px 129.435px; text-align: left; transform-origin: 383.496px 129.44px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" width="356" height="253" style="vertical-align: baseline;width: 356px;height: 253px" 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" data-image-state="image-loaded"></div><div style="block-size: 20.5882px; 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: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; 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="">If we move the peg located on (4,6) to the left (4) direction. the next board will look like;</span></span></div><div style="block-size: 258.881px; 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: 383.49px 129.435px; text-align: left; transform-origin: 383.496px 129.44px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" width="356" height="253" style="vertical-align: baseline;width: 356px;height: 253px" 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" data-image-state="image-loaded"></div><div style="block-size: 20.5882px; 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: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; 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=""></span></span></div><div style="block-size: 41.1765px; 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: 383.49px 20.5882px; text-align: left; transform-origin: 383.496px 20.5882px; 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="">Write a function that will return the next board after applying the move. Assume all of the moves (second input of the function) are legal moves.</span></span></div></div></div>

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Problem 52168. Peg Solitaire - Apply Move

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Problem 52168. Peg Solitaire - Apply Move

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