Problem 57298. Easy Sequences 82: Digits of Powers of 2

Created by Ramon Villamangca

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>In </w:t></w:r><w:hyperlink w:docLocation=\"https://projecteuler.net/problem=16\"><w:r><w:t>Project Euler Problem #16</w:t></w:r></w:hyperlink><w:r><w:t>, we are asked for sum of the digits of powers of 2. Here we will be asked for more than that.</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>Given an integer power </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t>, create a function the outputs </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>s=[a\\ b\\ c\\ d]</w:t></w:r></w:customXml><w:r><w:t>, where:</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:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>a</w:t></w:r></w:customXml><w:r><w:t> is the first </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>5</w:t></w:r></w:customXml><w:r><w:t> digits of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>2^n</w:t></w:r></w:customXml><w:r><w:t>,</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:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>b</w:t></w:r></w:customXml><w:r><w:t> is the last </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>5</w:t></w:r></w:customXml><w:r><w:t> digits of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>2^n</w:t></w:r></w:customXml><w:r><w:t>,</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:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>c</w:t></w:r></w:customXml><w:r><w:t> is the number of digits of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>2^n</w:t></w:r></w:customXml><w:r><w:t>, and</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:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>d</w:t></w:r></w:customXml><w:r><w:t> is the sum of the digits of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>2^n</w:t></w:r></w:customXml><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>For example, for </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n=20</w:t></w:r></w:customXml><w:r><w:t> since </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>2^{20}=1048576</w:t></w:r></w:customXml><w:r><w:t>, therefore </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>s = [10485\\ 48576\\ 7\\ 31]</w:t></w:r></w:customXml><w:r><w:t>. If </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>c\\le5</w:t></w:r></w:customXml><w:r><w:t>, please output </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>a=b=2^n</w:t></w:r></w:customXml><w:r><w:t>, therefore for </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n=7</w:t></w:r></w:customXml><w:r><w:t>, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>s = [128\\ 128\\ 3\\ 11]</w:t></w:r></w:customXml><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>As an added challenge, some functions are disabled.</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: 20.440001px; 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; white-space: normal; "><div style="block-size: 233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 116.5px; transform-origin: 407px 116.5px; vertical-align: baseline; "><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: 0px 0px; transform-origin: 0px 0px; ">In <a target='_blank' href = "https://projecteuler.net/problem=16">Project Euler Problem #16</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; ">, we are asked for sum of the digits of powers of 2. Here we will be asked for more than that.</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: 0px 0px; transform-origin: 0px 0px; ">Given an integer power n<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; ">, create a function the outputs <img src="data:image/png;base64,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" width="89" height="19" style="width: 89px; height: 19px;"><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; ">, where:</div><ul style="block-size: 80px; 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: 391px 40px; transform-origin: 391px 40px; margin-top: 10px; margin-bottom: 20px; "><li style="block-size: 20px; 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: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; ">a is the first 5 digits of <img src="data:image/png;base64,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" width="15.5" height="19" style="width: 15.5px; height: 19px;">,</li><li style="block-size: 20px; 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: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; ">b is the last 5 digits of <img src="data:image/png;base64,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" width="15.5" height="19" style="width: 15.5px; height: 19px;">,</li><li style="block-size: 20px; 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: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; ">c is the number of digits of <img src="data:image/png;base64,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" width="15.5" height="19" style="width: 15.5px; height: 19px;">, and</li><li style="block-size: 20px; 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: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; ">d is the sum of the digits of <img src="data:image/png;base64,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" width="15.5" height="19" style="width: 15.5px; height: 19px;">.</li></ul><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: 0px 0px; transform-origin: 0px 0px; ">For example, for <img src="data:image/png;base64,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" width="44" height="18" style="width: 44px; height: 18px;"><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; "> since <img src="data:image/png;base64,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" width="91.5" height="19" style="width: 91.5px; height: 19px;"><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; ">, therefore <img src="data:image/png;base64,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" width="156.5" height="19" style="width: 156.5px; height: 19px;"><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; ">. If <img src="data:image/png;base64,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" width="36" height="18" style="width: 36px; height: 18px;"><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; ">, please output <img src="data:image/png;base64,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" width="67.5" height="19" style="width: 67.5px; height: 19px;"><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; ">, therefore for <img src="data:image/png;base64,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" width="36.5" height="18" style="width: 36.5px; height: 18px;"><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; ">, <img src="data:image/png;base64,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" width="126.5" height="19" style="width: 126.5px; height: 19px;"><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; ">.</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: 0px 0px; transform-origin: 0px 0px; ">As an added challenge, some functions are disabled.</div></div></div>

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Problem 57298. Easy Sequences 82: Digits of Powers of 2

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Problem 57298. Easy Sequences 82: Digits of Powers of 2

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