Problem 42692. Polynomial Evaluation

Created by Md Tariqul Islam

Solve Later

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Problem has been taken from</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"\"><w:r><w:t>Rosetta Code</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Use of polyval and regexp is prohibited</w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.png","relationshipId":"rId1"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image2.png","relationshipId":"rId2"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image3.png","relationshipId":"rId3"}]},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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","relationship":null},{"partUri":"/media/image2.png","contentType":"image/png","content":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAOBAMAAABN+VgMAAAAMFBMVEX///8AAAC2trZ0dHRiYmJAQEDm5uYwMDDMzMwiIiIWFhZQUFCenp6KiooMDAwEBASQHDlWAAAApklEQVR42mNmwAJOPwg7gk2cyYAhnoEJiwTzMYaiC9gkOFYxMHxgwA5ARim7pphj6JnMwMLBe8T7bEMDA0NUAEjoWQGQ4LG7x8DAwsC1AdOi6QxMTAzfBf5hSLxyABIHMfyRwMD4gIWB4ScD2y8GZDvq+RkYBFiY/n1kiJ0LFFq2DKbjnT9DQgPT+Q5LhruoRk39wPDvA7P8mjuMahdQJP5dnft6KgABWy0b9cYVLwAAAABJRU5ErkJggg==","relationship":null},{"partUri":"/media/image3.png","contentType":"image/png","content":"data:image/png;base64,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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: 20.4333px; 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: 292px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 146px; transform-origin: 407px 146px; vertical-align: baseline; "><div style="block-size: 42px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 382px 8px; transform-origin: 382px 8px; unicode-bidi: normal; "><span style="">Create a routine that takes a list of coefficients of a polynomial in order of increasing powers of x; together with a value of x to compute its value at, and return the value of the polynomial at that value using</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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style=""> </span></span><a target='_blank' href = "/#null"><span style=""><span style="">Horner's Rule</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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style="">.</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: 384px 10.5px; text-align: left; transform-origin: 384px 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: 202.5px 8px; transform-origin: 202.5px 8px; unicode-bidi: normal; "><span style="">For example: A fast scheme for evaluating a polynomial such as:</span></span></div><div style="block-size: 25.5px; 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: 384px 12.75px; text-align: center; transform-origin: 384px 12.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" src="data:image/png;base64,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" data-image-state="image-loaded"></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: 384px 10.5px; text-align: left; transform-origin: 384px 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: 16.5px 8px; transform-origin: 16.5px 8px; unicode-bidi: normal; "><span style="">when</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: 384px 10.5px; text-align: center; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAOBAMAAABN+VgMAAAAMFBMVEX///8AAAC2trZ0dHRiYmJAQEDm5uYwMDDMzMwiIiIWFhZQUFCenp6KiooMDAwEBASQHDlWAAAApklEQVR42mNmwAJOPwg7gk2cyYAhnoEJiwTzMYaiC9gkOFYxMHxgwA5ARim7pphj6JnMwMLBe8T7bEMDA0NUAEjoWQGQ4LG7x8DAwsC1AdOi6QxMTAzfBf5hSLxyABIHMfyRwMD4gIWB4ScD2y8GZDvq+RkYBFiY/n1kiJ0LFFq2DKbjnT9DQgPT+Q5LhruoRk39wPDvA7P8mjuMahdQJP5dnft6KgABWy0b9cYVLwAAAABJRU5ErkJggg==" data-image-state="image-loaded"></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: 384px 10.5px; text-align: left; transform-origin: 384px 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: 127px 8px; transform-origin: 127px 8px; unicode-bidi: normal; "><span style="">is to arrange the computation as follows:</span></span></div><div style="block-size: 26.5px; 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: 384px 13.25px; text-align: center; transform-origin: 384px 13.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" src="data:image/png;base64,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" data-image-state="image-loaded"></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: 384px 10.5px; text-align: left; transform-origin: 384px 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: 108px 8px; transform-origin: 108px 8px; unicode-bidi: normal; "><span style="">N.B. Problem has been taken from</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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style=""> </span></span><a target='_blank' href = "/#null"><span style=""><span style="">Rosetta Code</span></span></a></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: 384px 10.5px; text-align: left; transform-origin: 384px 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: 122px 8px; transform-origin: 122px 8px; unicode-bidi: normal; "><span style="">Use of polyval and regexp is prohibited</span></span></div></div></div>

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Solution Stats

106 Solutions
47 Solvers

Last Solution submitted on Dec 01, 2021

Last 200 Solutions

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3 Comments

3 Comments

Jihye Sofia Seo on 9 Feb 2017

seems like a really fun and challenging problem!

Rafael S.T. Vieira on 17 Sep 2020

Maybe the author should prohibit the use of polyval, str2num and regexp for this problem.

Subhashini Neelamegam on 18 Oct 2021

Challenging Problem

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