Problem 57660. Knight Moves?

Created by Md. Ikrama Hossain

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>One of my favorite games are chess. Let’s do something with chess. If you don’t know chess, that’s completely fine. You can still solve this problem.</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>A chess board has 8 rows and 8 columns. You can think of it as an 8-by-8 matrix. Now your board contains only one piece, a knight. It is placed at (x,y) position. For the picture below, the knight is at (5,5).</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>A knight has 8 possible valid moves that are marked as cross in the picture. For example, a knight can move – ‘two steps right and one step up’; which brings it to position (4,7).</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 code to find out those 8 valid positions from any input value of (x,y).</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=\"655\"/><w:attr w:name=\"width\" w:val=\"701\"/><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>Output: (4,7), (6,7), (4,3), (6,3), (3,4), (3,6), (7,4), (7,6). </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:jc w:val=\"left\"/></w:pPr><w:r><w:t>Use an 8 by 2 matrix to represent the answer.</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:jc w:val=\"left\"/></w:pPr><w:r><w:t>Use </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/help/matlab/ref/double.sortrows.html\"><w:r><w:t>sortrows()</w:t></w:r></w:hyperlink><w:r><w:t> function to match the 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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: 924.46px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.989px 462.23px; transform-origin: 406.996px 462.23px; vertical-align: baseline; "><div style="block-size: 42.017px; 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: 383.991px 21.0085px; text-align: left; transform-origin: 383.999px 21.0085px; 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="">One of my favorite games are chess. Let’s do something with chess. If you don’t know chess, that’s completely fine. You can still solve this problem.</span></span></div><div style="block-size: 42.017px; 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: 383.991px 21.0085px; text-align: left; transform-origin: 383.999px 21.0085px; 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="">A chess board has 8 rows and 8 columns. You can think of it as an 8-by-8 matrix. Now your board contains only one piece, a knight. It is placed at (x,y) position. For the picture below, the knight is at (5,5).</span></span></div><div style="block-size: 42.017px; 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: 383.991px 21.0085px; text-align: left; transform-origin: 383.999px 21.0085px; 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="">A knight has 8 possible valid moves that are marked as cross in the picture. For example, a knight can move – ‘two steps right and one step up’; which brings it to position (4,7).</span></span></div><div style="block-size: 21.0085px; 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: 383.991px 10.4972px; text-align: left; transform-origin: 383.999px 10.5043px; 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 code to find out those 8 valid positions from any input value of (x,y).</span></span></div><div style="block-size: 660.554px; 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: 383.991px 330.27px; text-align: left; transform-origin: 383.999px 330.277px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" width="701" height="655" style="vertical-align: baseline;width: 701px;height: 655px" 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" data-image-state="image-loaded"></div><div style="block-size: 21.0085px; 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: 383.991px 10.4972px; text-align: left; transform-origin: 383.999px 10.5043px; 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="">Output: (4,7), (6,7), (4,3), (6,3), (3,4), (3,6), (7,4), (7,6). </span></span></div><ul style="block-size: 40.8807px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.994px 20.4403px; transform-origin: 390.994px 20.4403px; margin-top: 10px; margin-bottom: 20px; "><li style="background-position: 0px 50%; block-size: 20.4403px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.997px 10.2131px; text-align: left; transform-origin: 362.997px 10.2202px; white-space: pre-wrap; margin-left: 56px; "><span style="background-position: 0% 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Use an 8 by 2 matrix to represent the answer.</span></span></li><li style="background-position: 0px 50%; block-size: 20.4403px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.997px 10.2131px; text-align: left; transform-origin: 362.997px 10.2202px; white-space: pre-wrap; margin-left: 56px; "><span style="background-position: 0% 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Use </span></span><a target='_blank' href = "https://www.mathworks.com/help/matlab/ref/double.sortrows.html"><span style=""><span style="">sortrows()</span></span></a><span style="background-position: 0% 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> function to match the output</span></span></li></ul></div></div>

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Problem 57660. Knight Moves?

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