Problem 53130. Easy Sequences 55: "Ugly" Rectangles?

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>A positive integer</w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Regular_number\"><w:r><w:t> </w:t></w:r></w:hyperlink><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> is called a </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Regular_number\"><w:r><w:t>regular number, </w:t></w:r></w:hyperlink><w:r><w:t>if and only if there exist a non-negative integer </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>k</w:t></w:r></w:customXml><w:r><w:t>, such that </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\\ |\\ 60^k</w:t></w:r></w:customXml><w:r><w:t>.  For some reason, such a number is also refered to as an </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\"><w:r><w:t>ugly number</w:t></w:r></w:hyperlink><w:r><w:t>. Below are the first few regular numbers:</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>                            </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>\\{1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60...\\}</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>We say that an integer-sided rectangle is a \"regular\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.</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>                                                                    </w:t></w:r><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"190\"/><w:attr w:name=\"width\" w:val=\"221\"/><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>All </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>28</w:t></w:r></w:customXml><w:r><w:t> regular rectangles whose areas are less than equal to </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>20</w:t></w:r></w:customXml><w:r><w:t> are listed below:</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>                                    </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>\\{ \\  1\\times 1,\\  1\\times 2,\\  1\\times 3,\\  1\\times 4,\\  2\\times 2,\\  1\\times 5,\\  1\\times 6,\\  2\\times 3,\\  1\\times 8,\\  2\\times 4,\\  1\\times 9,\\\\\n\\ \\ 3\\times 3,\\  1\\times 10,\\  2\\times 5,\\  1\\times 12,\\  2\\times 6,\\  3\\times 4,\\  1\\times 15,\\  3\\times 5,\\  1\\times 16,\\  2\\times 8,\\  \\\\\n\\ \\ 4\\times 4,\\  1\\times 18,\\  2\\times 9,\\  3\\times 6,\\  1\\times 20,\\  2\\times 10,\\  4\\times 5\\  \\} </w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>And their total area is:</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>                                </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>A_{T} = 1+2+3+4+4+5+6+6+8+8+9+9+10+10+12+12+12\\\\\n\\ \\ \\ \\ +15+15+16+16+16+18+18+18+20+20+20 = 313\\ cu.\\ units</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>For a given area limit </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</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>, find the total area of all regular rectangles with areas less than equal </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</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>.</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"}]},{"partUri":"/media/image1.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: 538px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 269px; transform-origin: 407px 269px; 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: 54.5px 8px; transform-origin: 54.5px 8px; unicode-bidi: normal; "><span style="">A positive integer</span></span><a target='_blank' href = "https://en.wikipedia.org/wiki/Regular_number"><span style=""><span style=""> </span></span></a><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">n</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: 35.5px 8px; transform-origin: 35.5px 8px; unicode-bidi: normal; "><span style=""> is called a </span></span><a target='_blank' href = "https://en.wikipedia.org/wiki/Regular_number"><span style=""><span style="">regular number, </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: 148px 8px; transform-origin: 148px 8px; unicode-bidi: normal; "><span style="">if and only if there exist a non-negative integer </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">k</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: 35px 8px; transform-origin: 35px 8px; unicode-bidi: normal; "><span style="">, such that </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 49px; height: 19.5px;" width="49" height="19.5"></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: 19px 8px; transform-origin: 19px 8px; unicode-bidi: normal; "><span style="">.  For some reason, such a number is also refered to as an </span></span><a target='_blank' href = "https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?"><span style=""><span style="">ugly number</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: 129px 8px; transform-origin: 129px 8px; unicode-bidi: normal; "><span style="">. Below are the first few regular numbers:</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: 56px 8px; transform-origin: 56px 8px; unicode-bidi: normal; "><span style="">                            </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 515.5px; height: 18.5px;" width="515.5" height="18.5"></span></div><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: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; "><span style="">We say that an integer-sided rectangle is a "regular" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.</span></span></div><div style="block-size: 195.5px; 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 97.75px; text-align: left; transform-origin: 384px 97.75px; 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: 136px 8px; transform-origin: 136px 8px; unicode-bidi: normal; "><span style="">                                                                    </span></span><img class="imageNode" style="vertical-align: baseline;width: 221px;height: 190px" src="data:image/png;base64,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" data-image-state="image-loaded" width="221" height="190"></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: 9.5px 8px; transform-origin: 9.5px 8px; unicode-bidi: normal; "><span style="">All </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABi0lEQVRYhe2WUdGDMBCEPw84wAAGUICCOqiDOqiFakACHmoBDbXQ/yG5yTXkkgB96MyfnbkHJlyy3O1tgIaGht/A6GM4kDuo/O4MiQ54AO8oXsC1kNv73Bdw8yHPi1/fhd4nx2R03I3cQR0cV0TWXntJLcAKXKLN4opNidw1swauum+/VxUm3BdYerkpQnO0Nqg1K38ktL4KM3mNdHzqKXVYrkLyzlpL6EG5v4tBSJN9kp6qO3kNHoIQWhJrWmexsEXUKwcmLQcRbqq1Ha46uq0jQZsPTvpRjJ6gAesrY1JCzNLVKciUlczRInXE7bOHiOmVIMTvbE32a5WasadHQ4QtB/eEQZAYz5K54nRTKrlUJjZNTXSXD6VwqSQDoT1WW2ZOVmkPGe3U1vv6eikNxgZTBZmBMP41hDhKSFw1V1YZbe1H0rJLMuPzeql2ayHzJPxgpWJlawEiamsa5fcjJfosmdzPWclT5AJ98tm6q997NsgmMeO+uiZyG/e4aun3b3zBfxoaGhr+Ff4AblWyrYbc94EAAAAASUVORK5CYII=" style="width: 18px; height: 18px;" width="18" height="18"></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: 174px 8px; transform-origin: 174px 8px; unicode-bidi: normal; "><span style=""> regular rectangles whose areas are less than equal to </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 18px; height: 18px;" width="18" height="18"></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: 53px 8px; transform-origin: 53px 8px; unicode-bidi: normal; "><span style=""> are listed below:</span></span></div><div style="block-size: 60.5px; 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 30.25px; text-align: left; transform-origin: 384px 30.25px; 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: 72px 8px; transform-origin: 72px 8px; unicode-bidi: normal; "><span style="">                                    </span></span><span style="vertical-align:-24px"><img src="data:image/png;base64,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" style="width: 472.5px; height: 60.5px;" width="472.5" height="60.5"></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: 69.5px 8px; transform-origin: 69.5px 8px; unicode-bidi: normal; "><span style="">And their total area is:</span></span></div><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: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; "><span style="">                                </span></span><span style="vertical-align:-15px"><img src="data:image/png;base64,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" style="width: 484.5px; height: 42px;" width="484.5" height="42"></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: 76px 8px; transform-origin: 76px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">For a given area limit </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">a</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: 247.5px 8px; transform-origin: 247.5px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">, find the total area of all regular rectangles with areas less than equal </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">a</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="font-weight: 700; ">.</span></span></div></div></div>

Solve

Solution Stats

7 Solutions
3 Solvers

Last Solution submitted on Jan 08, 2022

Last 200 Solutions

Problem Comments

Problem Recent Solvers3

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 53130. Easy Sequences 55: "Ugly" Rectangles?

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers3

Suggested Problems

More from this Author75

Problem Tags

Community Treasure Hunt

Problem 53130. Easy Sequences 55: "Ugly" Rectangles?

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers3

Suggested Problems

More from this Author75

Problem Tags

Community Treasure Hunt

Players

WeChat