Problem 49572. Compute the largest number possible with the Brussels choice

Created by ChrisR

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>The Brussels choice (or Choix de Bruxelles) operation changes one number to another by taking a substring of the digits and either doubling it or (if the number is even) halving it. For example, starting with 9 and highlighting substrings, one can generate this sequence:</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:rPr><w:b/></w:rPr><w:t>9</w:t></w:r><w:r><w:t>, </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>18</w:t></w:r><w:r><w:t>, 3</w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>6</w:t></w:r><w:r><w:t>, </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>31</w:t></w:r><w:r><w:t>2, 6</w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>22</w:t></w:r><w:r><w:t>, </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>644</w:t></w:r><w:r><w:t>, 1</w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>2</w:t></w:r><w:r><w:t>88, 1488,...</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>Another possibility 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:rPr><w:b/></w:rPr><w:t>9</w:t></w:r><w:r><w:t>, 1</w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>8</w:t></w:r><w:r><w:t>, </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>116</w:t></w:r><w:r><w:t>, </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>232</w:t></w:r><w:r><w:t>, </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>46</w:t></w:r><w:r><w:t>4, </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>92</w:t></w:r><w:r><w:t>4, 18</w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>44</w:t></w:r><w:r><w:t>, 1888,...</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>Both of these excerpts have eight entries, but the second ends in a larger number than the first. </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 takes an initial value </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_0</w:t></w:r></w:customXml><w:r><w:t> and determines the largest number </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_n</w:t></w:r></w:customXml><w:r><w:t> resulting after </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> steps. In the above examples, </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_0</w:t></w:r></w:customXml><w:r><w:t> = 9 and </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>. Return the number as a character string.</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: 20.4333px; 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: 235.633px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 117.817px; transform-origin: 407px 117.817px; vertical-align: baseline; "><div style="block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 374.208px 7.79167px; transform-origin: 374.208px 7.79167px; unicode-bidi: normal; ">The Brussels choice (or Choix de Bruxelles) operation changes one number to another by taking a substring of the digits and either doubling it or (if the number is even) halving it. For example, starting with 9 and highlighting substrings, one can generate this sequence:</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: 3.89167px 7.79167px; transform-origin: 3.89167px 7.79167px; unicode-bidi: normal; ">9<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: 3.88333px 7.79167px; transform-origin: 3.88333px 7.79167px; unicode-bidi: normal; ">, <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: 7.78333px 7.79167px; transform-origin: 7.78333px 7.79167px; unicode-bidi: normal; ">18<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: 7.775px 7.79167px; transform-origin: 7.775px 7.79167px; unicode-bidi: normal; ">, 3<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: 3.89167px 7.79167px; transform-origin: 3.89167px 7.79167px; unicode-bidi: normal; ">6<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: 3.88333px 7.79167px; transform-origin: 3.88333px 7.79167px; unicode-bidi: normal; ">, <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: 7.78333px 7.79167px; transform-origin: 7.78333px 7.79167px; unicode-bidi: normal; ">31<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: 11.6667px 7.79167px; transform-origin: 11.6667px 7.79167px; unicode-bidi: normal; ">2, 6<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: 7.78333px 7.79167px; transform-origin: 7.78333px 7.79167px; unicode-bidi: normal; ">22<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: 3.88333px 7.79167px; transform-origin: 3.88333px 7.79167px; unicode-bidi: normal; ">, <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: 11.675px 7.79167px; transform-origin: 11.675px 7.79167px; unicode-bidi: normal; ">644<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: 7.775px 7.79167px; transform-origin: 7.775px 7.79167px; unicode-bidi: normal; ">, 1<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: 3.89167px 7.79167px; transform-origin: 3.89167px 7.79167px; unicode-bidi: normal; ">2<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 7.79167px; transform-origin: 35px 7.79167px; unicode-bidi: normal; ">88, 1488,...</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: 65.7417px 7.79167px; transform-origin: 65.7417px 7.79167px; unicode-bidi: normal; ">Another possibility is </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: 3.89167px 7.79167px; transform-origin: 3.89167px 7.79167px; unicode-bidi: normal; ">9<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: 7.775px 7.79167px; transform-origin: 7.775px 7.79167px; unicode-bidi: normal; ">, 1<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: 3.89167px 7.79167px; transform-origin: 3.89167px 7.79167px; unicode-bidi: normal; ">8<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: 3.88333px 7.79167px; transform-origin: 3.88333px 7.79167px; unicode-bidi: normal; ">, <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: 11.2917px 7.79167px; transform-origin: 11.2917px 7.79167px; unicode-bidi: normal; ">116<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: 3.88333px 7.79167px; transform-origin: 3.88333px 7.79167px; unicode-bidi: normal; ">, <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: 11.675px 7.79167px; transform-origin: 11.675px 7.79167px; unicode-bidi: normal; ">232<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: 3.88333px 7.79167px; transform-origin: 3.88333px 7.79167px; unicode-bidi: normal; ">, <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: 7.78333px 7.79167px; transform-origin: 7.78333px 7.79167px; unicode-bidi: normal; ">46<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: 7.775px 7.79167px; transform-origin: 7.775px 7.79167px; unicode-bidi: normal; ">4, <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: 7.78333px 7.79167px; transform-origin: 7.78333px 7.79167px; unicode-bidi: normal; ">92<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: 15.5583px 7.79167px; transform-origin: 15.5583px 7.79167px; unicode-bidi: normal; ">4, 18<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: 7.78333px 7.79167px; transform-origin: 7.78333px 7.79167px; unicode-bidi: normal; ">44<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: 27.2167px 7.79167px; transform-origin: 27.2167px 7.79167px; unicode-bidi: normal; ">, 1888,...</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: 296.767px 7.79167px; transform-origin: 296.767px 7.79167px; unicode-bidi: normal; ">Both of these excerpts have eight entries, but the second ends in a larger number than the first. </div><div style="block-size: 43.6333px; 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 21.8167px; text-align: left; transform-origin: 384px 21.8167px; 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: 129.008px 7.79167px; transform-origin: 129.008px 7.79167px; unicode-bidi: normal; ">Write a function that takes an initial value <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABPElEQVRYhe2WTRGDMBBGnwccxAAGUFAFdYADHNRCNCABD1hAAxbaQ3aHNCRp2kJ7yZvJgSzsx/4FoFKpVCqVP9ECPTAAnex1ct2eKToBi4h3gAVm4C7LnCF8FecL0AS2u2f7qbAvfjta+OI57yJ288L+MQ2wiuMxcY9mZSWeFcO+OYsY2KJKdfEk9inx/CqiBteYqSB2aNQxx4hTfbkhsGm5em9PS/SyN3KOlYl0ZhbiozfjgsqOpJ/yS8Tes2UmrHfr7YdY9hl5S/yKi2zkuSxWntMmnDN+bU5c316dN7IGtnnXyK0sbSYVyInHbE9oZP4a2VK8BvslAsXi4FI+4GoUNknqY3KY+CfomOXEi+f9XXSeYx+aom7/ltyc507MQ8idcNkxO4ob29ne4KLWsf0JBtdkp/5iVSqVIh6VmIITWgIeSQAAAABJRU5ErkJggg==" style="width: 15.5px; height: 20px;" width="15.5" height="20"><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: 112.417px 7.79167px; transform-origin: 112.417px 7.79167px; unicode-bidi: normal; "> and determines the largest number <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABNklEQVRYhe2WW7GDMBBAjwccYAADUYCCOMABDq4FNCAhHmqhGrDA/WB3ss2E0mGS9idnJh9kyS77DNBoNBqNxo8YgAmYASd7Tp6HmkYD8BTjDliAB7DL6msY9qL8CXSJbDeyrxq2xv9KGx6NcpeR9xfy23TAJorXk3c0Khv5qNxmJnp1VsVB5KGkYYhenyl25uPmkoY/URy4jswtbMjHjHwiRqZqvlPjnqPtVl7TsvAapUHOennuRe65YDDGA4dnnRzWflfPF1m2I/S9nSNKXvRssi4noXpm10oM8Zbsp+jYnYgDSOvkozE8ihdT5sC7y6QjTkXbLbt8VFV0+FgvtYOKj+GUhVgPihZxrnuKosVmU6X5ropeNja3WgOB+B9QBc237XnNd6DCPWDRDkmn3iSr0Wj8hn/n1nOR3s62vwAAAABJRU5ErkJggg==" style="width: 15.5px; height: 20px;" width="15.5" height="20"><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: 46.2833px 7.79167px; transform-origin: 46.2833px 7.79167px; unicode-bidi: normal; "> resulting after 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: 63px 7.79167px; transform-origin: 63px 7.79167px; unicode-bidi: normal; "> steps. In the above examples, <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABPElEQVRYhe2WTRGDMBBGnwccxAAGUFAFdYADHNRCNCABD1hAAxbaQ3aHNCRp2kJ7yZvJgSzsx/4FoFKpVCqVP9ECPTAAnex1ct2eKToBi4h3gAVm4C7LnCF8FecL0AS2u2f7qbAvfjta+OI57yJ288L+MQ2wiuMxcY9mZSWeFcO+OYsY2KJKdfEk9inx/CqiBteYqSB2aNQxx4hTfbkhsGm5em9PS/SyN3KOlYl0ZhbiozfjgsqOpJ/yS8Tes2UmrHfr7YdY9hl5S/yKi2zkuSxWntMmnDN+bU5c316dN7IGtnnXyK0sbSYVyInHbE9oZP4a2VK8BvslAsXi4FI+4GoUNknqY3KY+CfomOXEi+f9XXSeYx+aom7/ltyc507MQ8idcNkxO4ob29ne4KLWsf0JBtdkp/5iVSqVIh6VmIITWgIeSQAAAABJRU5ErkJggg==" style="width: 15.5px; height: 20px;" width="15.5" height="20"><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: 27.425px 7.79167px; transform-origin: 27.425px 7.79167px; unicode-bidi: normal; "> = 9 and <img src="data:image/png;base64,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" style="width: 36.5px; height: 18px;" width="36.5" height="18"><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: 129.517px 7.79167px; transform-origin: 129.517px 7.79167px; unicode-bidi: normal; ">. Return the number as a character string.</div></div></div>

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Last Solution submitted on Jan 29, 2023

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William on 24 Dec 2020

Chris, -- In the first example, is the fourth number supposed to be 312 rather than 112, or am I misunderstanding the description?

ChrisR on 24 Dec 2020

Yes, you're right. Thanks. If you start with 1, you will see why I made that mistake.

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Problem 49572. Compute the largest number possible with the Brussels choice

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Problem 49572. Compute the largest number possible with the Brussels choice

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