Problem 53905. Easy Sequences 64: Base-14 Arithmetic Function

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>For an 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>n</w:t></w:r></w:customXml><w:r><w:t>, the base-14 arithmetic function, </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>B_{14}(n)</w:t></w:r></w:customXml><w:r><w:t>, is defined as follows:</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>Convert </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> to base-14, using the letters '</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>ABCD</w:t></w:r></w:customXml><w:r><w:t>' for digits </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>10</w:t></w:r></w:customXml><w:r><w:t> 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>13</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:r><w:t>Replace the letters '</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>ABCD</w:t></w:r></w:customXml><w:r><w:t>' with the arithmetic operation symbols '</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>+ - * /</w:t></w:r></w:customXml><w:r><w:t>', respectively.</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>Remove any leading or trailing operation symbols.</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>For consecutive operation symbols between two numeric symbols, retain only the first operation and remove all others.</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>Evaluate the resulting expression in base-10.</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>Return the evaluated expression as </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>B_{14}(n)</w:t></w:r></w:customXml><w:r><w:t>, rounded-off to the nearest integer.</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>Finally, 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>B_{14}(n)=0</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>B_{14}(n)</w:t></w:r></w:customXml><w:r><w:t> contains only \"operation symbols\", or 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>B_{14}(n) = []</w:t></w:r></w:customXml><w:r><w:t>, or 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>B_{14}(n) = Inf</w:t></w:r></w:customXml><w:r><w:t>, or 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>B_{14}(n) = NaN</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 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>n= 8798950879626654</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> </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>B_{14}(8798950879626654) \\rightarrow [B12B56CDD2A75C] \\rightarrow [-12-56*//2+75*] \\rightarrow [12-56*2+75] \\rightarrow [-25]</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>Therefore:</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=\"false\"/></w:customXmlPr><w:r><w:t>B_{14}( 8798950879626654) =-25</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:rPr><w:b/></w:rPr><w:t>Given a set positive integers </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:rPr><w:b/></w:rPr><w:t>, find the 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>x</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><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>x \\in N</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><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>B_{14}(x)</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t> is minimized. </w:t></w:r><w:r><w:t>If there are more than one integers, </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>x</w:t></w:r></w:customXml><w:r><w:t> in </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> that minimizes </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>B_{14}</w:t></w:r></w:customXml><w:r><w:t>, please output the </w:t></w:r><w:r><w:rPr><w:u/></w:rPr><w:t>largest</w:t></w:r><w:r><w:t> of those </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>x</w:t></w:r></w:customXml><w:r><w:t>'s.</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=0:20</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> </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>B_{14}(0:20)\\rightarrow['0'\\ '1'\\ '2'\\ '3'\\ '4'\\ '5'\\ '6'\\ '7'\\ '8'\\ '9'\\ 'A'\\ 'B'\\ 'C'\\ 'D'\\ '10'\\ '11'\\ '12'\\ '13'\\ '14'\\ '15'\\ '16']\\\\\n\\ \\ \\ \\ \\ \\ \\ \\ \\ \\rightarrow\\ [0,\\ 1,\\ 2,\\ 3,\\ 4,\\ 5,\\ 6,\\ 7,\\ 8,\\ 9,\\ +,\\ -,\\ *,\\ /,\\ 10,\\ 11,\\ 12,\\ 13,\\ 14,\\ 15,\\ 16]\\\\\n\\ \\ \\ \\ \\ \\ \\ \\ \\ \\rightarrow\\ [0,\\ 1,\\ 2,\\ 3,\\ 4,\\ 5,\\ 6,\\ 7,\\ 8,\\ 9,\\ 0,\\ 0,\\ 0,\\ 0,\\ 10,\\ 11,\\ 12,\\ 13,\\ 14,\\ 15,\\ 16]</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>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>B_{14}(0:20)</w:t></w:r></w:customXml><w:r><w:t> is minimized when </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>B_{14}(x)=0</w:t></w:r></w:customXml><w:r><w:t>, 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>x=0,10,11,12,13</w:t></w:r></w:customXml><w:r><w:t>. Since we are asked to select the largest minimizer, our program output should be </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>x = 13</w:t></w:r></w:customXml><w:r><w:t>.</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: 20.440000534057617px; 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: normal; text-decoration: none; white-space: normal; "><div style="block-size: 550px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; ">For an integer 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; ">, the base-14 arithmetic function, <img src="data:image/png;base64,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" width="41.5" height="20" style="width: 41.5px; height: 20px;"><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; ">, is defined as follows:</div><ul style="block-size: 183px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; 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; text-align: left; white-space: pre-wrap; margin-left: 56px; ">Convert n to base-14, using the letters '<img src="data:image/png;base64,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" width="43.5" height="18" style="width: 43.5px; height: 18px;">' for digits <img src="data:image/png;base64,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" width="18" height="18" style="width: 18px; height: 18px;"> to <img src="data:image/png;base64,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" width="18" height="18" style="width: 18px; height: 18px;">.</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; text-align: left; white-space: pre-wrap; margin-left: 56px; ">Replace the letters '<img src="data:image/png;base64,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" width="43.5" height="18" style="width: 43.5px; height: 18px;">' with the arithmetic operation symbols '<img src="data:image/png;base64,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" width="45.5" height="19" style="width: 45.5px; height: 19px;">', respectively.</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; text-align: left; white-space: pre-wrap; margin-left: 56px; ">Remove any leading or trailing operation symbols.</li><li style="block-size: 40px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; text-align: left; white-space: pre-wrap; margin-left: 56px; ">For consecutive operation symbols between two numeric symbols, retain only the first operation and remove all others.</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; text-align: left; white-space: pre-wrap; margin-left: 56px; ">Evaluate the resulting expression in base-10.</li><li style="block-size: 21px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; text-align: left; white-space: pre-wrap; margin-left: 56px; ">Return the evaluated expression as <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFMAAAAoCAYAAACCV8YCAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAU6ADAAQAAAABAAAAKAAAAACr2LzFAAAF20lEQVRoBe2Ye4hXRRTHd8u27EmklUul9pJeVvSQlGwzrQgKoohqS7BMCqWCICzpQSjUH63ZP4WxgSH+oYRRRtgTN/CPsswehBpmoWkPoYc9Nev7yTnbcbxz7/3t3p9F3QPfnTPnnDkz98w5M/Pblpaa6gjUEagjUEegjkAdgT5H4HqNXCcc1GcPuw7sVHe5MHxX8X+/N1WfuEO4ucJPHSBfLwpfCcdV4XeMnHwpfJvAFsk/EJYIjwlnCHuaRmnC34RZTZj4QPl8V1gp7FeF/1Y5uU74w2Gj+CnCTUKXsFUw/cPi9xQdqonWC4sF1tkMapfTzUJ3Vc7ZIQsW7YzI8Uj1yQ6zuSLSN6v7nBxvEyopw5xF3i4d30by9Js65MECRZtVzi85m4Xim01cOKzlqWZPJP+UONVIBZJY/SLOIwvmJvFZJbXA2bzVr9nKDX4tzDesnHm/re4K8/U7O1cERwR0XmJZ7zsbbsFm0tFy/rvwYTMniXyfpD7f3xPJG+oOljXPDstMLqOYxkqwXTCbO2KDivvTw1xzSvodJLsJwt3ClW7MUPHThNnCRU6eYqlKvvH4lEGR3M4mnJANh0UDRqvP88kC+Yb4fSKbqrvLwnxFF92jstsQbG19nWExk9T6Vwj6c4Iu1dhRdkvKoEhOWdtC2Jlxwg3CPQIpb7ovxM8U2oRm06eagHmLMmSEbK4R7KXBzc9zituZSiIj/cV5m/p5dL+UzPtQnlFK1yqFpbYFLatdJLv9U04qlrOmXwXWQWCKiCr5QcD+dYEy/0m4WIA4kuybLv1Lkv7DLy1sn06bpDWnh8E22Xj1jxUoh1sFfgGZbq14LoZm0+GagDnJLAJbRJzntkZ+pX0vUFlG3WJMP8SEifbaYPtyQp8r5sC2ib4WHy/+RMn8ednsW5zF2gZ/Q6cEcfTYN3wmfm40ZnXQl3kZkLn4ejvy0dvdq5fbnbnEiSgRHHlao84SJxgnPlXuPC3mCWVKkzU9I2T944JLA+IhXYasnLHleLjTDTpGPAkBLd3Z5P4dGLRURUN0gKyZ3HZ1cmL0JGeDbXzunCDZfIGXAPojhSK6VwbYklUxEURb076xMurz8rB5GcNme+KbzJdPHG/jebNf5IWeJwuyqEPCNqd4xfGe9TbIOZM88X7jwGZjytDZMpqVY/iLdBw5UPxM2yn9++94sfZ9nHNUl6cJoYPPHq9I8IOCfENC3ztZrPc79YmUnDdZdJYTErB3XB/2SYGP2EingDgi5gu8D/PIPqY9z0g6X+JcPp4Isj3U3xT/s1cm+CFBbvPvZmY7Fyt8MF+NlaF/mtobnW6Z+LIZ6Ib1sl3iyCCQRx8H5fl5RtJZMMnkuLLOlMwy2+brlqxDSNHYoFiVMsiSnyyhnSW0/tA2e8pxtbMje48wZUbL0wlfqTPzcuk+EjgTCQK2M4UsukxC9C9kKYOMCw8bMDfIfMM3mZ7AcrSwxkOELKLEdwhUWCoBWwZEI7ltyRBPPGy5wXgGDRdGC/yUaxUgyniKgL4vxCY8IRBQzq8iWiqDTQKZwvpZW0y+sp6Pleq3O9nj4kcKZPp3Tu7ZC9XhexcIBLWQrpbFNsF2LKvdKj1lRtnMEU4VylBeZvI+ne6cFGUmpo8IrG8inQxaKBn6H4WBGXqym6BgQ7aRIHnEUYctQf/HKRXMqVpZj+BLp0wwh2kMWcTxEleXRKXoFFmdJ2QF2zu4QB0CyQb9KygVzHVa3RZhjcNm8Sze5PeJz6KrJMRucpayQhmbzaYdXOSzr7ta5LesnhIfHBkPVZ9zlJ+MK4X1QhY9K2GXMFtYIbwnVE1s5CiBYyB+Q1c9V2l/qczMclCmzG0cycA7kXPvKBNW1HbKD5k/rSJ/lbgh87YLLOzcEh4bCSbueLYsF1YJewtV0Bg54WXxQBXOqvIxQ44+Fwgk4G1KaeYRv0ywfTDPKNK1qc9rxF9kkUlD3RGyLrrhG3JYG9cRqCNQR6COQB2BOgJ1BP5nEfgTlRh1sCvET9IAAAAASUVORK5CYII=" width="41.5" height="20" style="width: 41.5px; height: 20px;">, rounded-off to the nearest integer.</li><li style="block-size: 42px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; text-align: left; white-space: pre-wrap; margin-left: 56px; ">Finally, output <img src="data:image/png;base64,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" width="67.5" height="20" style="width: 67.5px; height: 20px;"> if <img src="data:image/png;base64,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" width="41.5" height="20" style="width: 41.5px; height: 20px;"> contains only "operation symbols", or if <img 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width="80.5" height="20" style="width: 80.5px; height: 20px;">, or if <img src="data:image/png;base64,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" width="89.5" height="20" style="width: 89.5px; height: 20px;">.</li></ul><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; text-align: left; 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; ">For example if <img 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" width="674.5" height="20" style="width: 674.5px; height: 20px;"></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; text-align: left; 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; ">Therefore:</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; text-align: left; 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; "> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYsAAAAoCAYAAAAPH9Z/AAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAABi6ADAAQAAAABAAAAKAAAAABSAXLbAAASsklEQVR4Ae2cC9SmUxXHh8a4ReTaFOMyRIkkCY0Io4voXkYajVJhJV2pNKVRKmGUldQI6YJUVo0ScltLUmHcyoT5YgZDhMhlqP6/b579zv7OnOf+vN/HzNlr/b9zzr6cvc8+5znnPM87jBqVKGUgZSBlIGUgZSBlIGUgZSBlIGUgZSBlIGUgZSBlIGUgZSBlIGUgZSBlIGUgZSBlIGUgZSBlIGUgZSBlYNgyMEmebhdWGTaPyVHKQMpAPzOwrzq/Utiwn05S39UzsEx11Wes5sGK7FvCB4UZOVGuJP6ewqbCOOF+4WbhZ8J/hBi9VEzsqhD9cViFtKYYOwrbCRxkVwk8AHOEMmoSs/XZxi99vFKIrQ3G8IUMl6sMCZs9hO2FscINwm+F2UIZNRnvSM9RbEwvF3M3YXOB9XapcKQQ0sZi7CBsKawg/FH4g3Cb0ISq+o31Xce26dqI+T1AzAnCscKNgcJotc8TthVYT03zItMlktquny7ncXCTm680P5gDNkg2g18LJwgsuOEmNuEnhaMLHH9IMsbxlHCB8EOBhfk/Af7uQkhri/GEgE4VnBp2oPYk4d/CwwKLno2AGOjvJIGHIY+axGx9tfFLH3sIRWO+S/LlUAyInF0nYHuvwEH8QNbmgFxNyKMm4x3pOfJjWVGNzwjzBMbPs3GasLeAzBO5myqwbmN5Pk385whVqI7fsL8mtk3XRuibNofAAoEcTBRi9FwxrxGuFThQEy189tquny7nsTcn3BT3Efyi5oE4UJgiHCc8Ipj8GNWHi1aXowHhF0LsFiz2qMkCsbFpbSEYof8lARkbenjQHZ7JbFxlJa/Mnqaqgc09wqZOwGn+qIDsUiH25jI5k9eNWWaDm1BTv9hDFwv0kYepKAXEXMwSsLlIYEOElheuEOBfLTxPCGmyGMjrjnck58iP4TVq3JmNgXFwEYjNq9iD9D39Ra8IrOkxg9r5f+r69T01tW2yNrxfq6+symzBcjDRBJFyrHg8RzMisqWR1cX66WoeF8s/p7tNKuXnAo0t1fa3pL0Ceb+av1THC4SNcxxwO+NWT8zc+kJaVoybBOTfdUL4fFLi89R04QDhvRGcLB62vIH4TXAztS0fU1UPabIY2IEwrqYx46ONX+yhbQTiukQ4KoKPiseDHtJlYmBHzsL54LB8LJP/XKWnpuMdyTny8b9LjccFxj5feL1QRLtLiC5vtrsKKwisHTbL6wVkhj1Vz6O6fn0/TW2brg3v2+qnqGLjpCw6LLBh3aE3hcZSTF2sny7ncbGp2FkcP7HhLRyD3zids2H0mSapf2LilM0j4rS435mj9ONM52Ynf4PqTwl8dy4iDhL6nxkonZfxkYUbJ6q8/j8qIOdzxaqCUdOYsW/j1/z/VJWnhU2MUaHkbcny/KMcfcszfW/gdJqOdyTnyMJ/tSqMh7FzadleKKMLpDBXWCeiyLq4VbBcHh/RgdXEr3XVxrbJ2jC/vtxbDcb4t6ykXnZYcKjOE/iKweV1aaUu1k9X8xidg6PFtQV8t+p8wgnJNgP0+NzQb7LXqA0KHL1JMot7Wo7eJZkONz2jA1QJ355MZiU5YPHSf3jbeSjjs4Fwc44RN2yLjVuTUdOYsW/jF/uNBA7JPwv+AFOzkE6S1MbyoRzNDzudY5xO0/GO5BwR/hiBNWPj/iTMEmKT4y10nwK9/SSzPq+J6DXxa920sW26Nsy3leuqcp/ApnewYGOdqHoZfUIK6IfPW5ndkiLvYv10NY+5OWXzsEk9PUfLv0KHN+0ck8bs9WTJjc5v8LHOthLT4mYjfWGgxHdlHl508sYVmPSaO2Z2HAhr9LijRhGb+bzT8cMqh5fp8Upu1DTmtn7x/23BYiK/zOmxwpZCHi0nwQOC2W2Wo/gSp3Ov02k6XtdFbrVfc4TDLwk25qtU5/JQRuTxQiHvAoH9FoL1y3MXUhO/1kcb2yZrw/z68nw1eJseKxwk2FirHBabZ/qXq1waqYv109U8RvO/lrj/FWxSY7einSTnRmo6h6reTzpcneNregUnHCgW12zV2VSN2AiRsdltYsyK5QnSw/aiQH+XjI+M30vy6DAJLK5LAqUmMbf1y4Fnn8YsLl+eJ3ns0wk3FdPjgFlGiBF85KbrD9gm4435CHn9miMOvifdWNj0IG7NL8tK2k1ovIwsR2cHHbTx28a26doIwh91SDa2d2QC8mZjrXJYYMaXDWzIU6LFM1C0frqax8W9ZpxJKm1Cedj9Q47KDsJ8wXQuUZ3bZj/pMnWOv70qONleOo9n+thwMBwozMh4fCN+qVCH2PjmCvT3kcCQ0x++4XmB3Jr7OR368tQk5rZ+xymAXwlzBH85sHFQ3iGMFTxNUMN0/uUFkfqDTndrJ28yXmcerfZzjviMZmOm/KbAuvK8v6jNOqtLu8nA+uHZ89TGbxvbcQqiydrwsXNY/Uc43TGbHBY/lj35+aDrJ1UXZaBo/XQxj4s8RWpMri1eTvXXCe8VjhB4HTTZXapPE8YI/aY5coDf8RUdvV16T2Q2Fi/lycIKQl3igMSew5PbpKdV1PA+9vVCV3+L04ttsnVj7sovIa4sbCv8QGCMfjzXqO0/o7zbyeeoXkQDElpfeweKdccbmC/W7OcczXLjYDyPCGcLZwg3CDZGypOEOjRdytjdI4Rrs43fNrY+/jprw+zYE64VBoRVBaMmh8UXZEx+jrJOKpbbSe/+DvC7iv5GSq1o/fiYmsyjt1+szu3MXvv8AxDWz5HeSotZ94dBTLbxr17DxS7SDePmjYiTuC4dLwP6uiLH8OJMjs4fBL+5msmRTocHOUZ1Y+7Kr49lazWuFHzu/AF4qJNd5w0jdb+Rxm6GdccbcdFj9WuOlpUH/8n1b2rzqdYTb5teZy8vLKjzDN0rkGv+eaunNn7b2PoYwnrZ2jD9r6vCpWOCMbLyIJW2riYGsrzmwZnNqXkKOXz7/cr8NS2vyun/mcAuWj9F8VWdx6I+Rm0lqU8qG+tGArfODwuc1Cb/u+rrCf2mteUAnzyMHBxViCSeLmDHq7DFTMkiPlCoSvi8U8D2YzlG5Ml/yjlTbU5yaHVhiuA/jcVun01i7sIvMYbEbXC2YHm7yCmQO+PPcvxY9a9Ol/Xjqcl4vb2v93OOOBhsvJSv945dfYbT48JQhb4mJfo8K6Lcxm8b20goQ1hFawPFXQSesWNoBHSQ2pbLqofFezKbujf81WTHWm2LvPlW1yNOReunLLiyeSyzH/Vpadhk3qc6D6GnTdWYL5jOTC/sU90OsH9W7J8kXCkQ42nCisJXBRawxU39bUIV4vu62a1fYMBmaHqUTwq3CRwi/qBAto/gqU3Mbfz6GML6FmLYbZmLgdHeqtg4B4yZUyI33bc6nTbjdd30qv2co/FuDIxljZ7XoZVXOT3yNnqoeLHWK8VZIFwtsEZDauO3jW0YR6ydtzbYoO8QrhXGRAybHBZs1uT9T5H+nomsXymotp+/qhxQZeunSm7y5rGK7ZD/7cNZORYzxLcN4DHVuSHGaHMxTxe4WZcRr81nCAdEFDcWD398J65C35MS+jcLyzuD3VTnALTY5wVypzqkelxmU2Wxvky63xe4cd8ucBuaLrCRPCqY7/VU99Q25qZ+fQyx+k1iEvNDTvjqjAf/QcePVZHbmLEzajte68fKfs7RynJiY6DkoIsRh4N/u9woppTxXqSS9cdlYt2MFxZt/LaxDePIa8fWBs87OTpM2CMCm3d0jnDyF6ieR2+VAP2qb2t5/QwX/7IsXmJuijeXBFtl/ZR00RPH5rEnzKuwwJ4QbIAfyFF8v9NBNzwFNxHvTOHpTC/vYZC4R59Vjb6m9TiLKitkMuR+81+ksaj2ClXtgT1qEbtXQ86hY2NkIRbRMhLeIaB/eJFiiYxXYfN5faDbdcy++yK/Xi+v/kMJiPsfToGFamMh18s6ma/Ct7lAf/1M2PV4h2OO7lPsNubx2Thixb1O7+UxBfE4bLh5c1hsKBRRG79tbItiMllsbVwnoeWpTrmfdRop2Yfo65yI7JnI2l1B8dy1wbiCgdVZPwXd9ESxeewJR/dqQys7qznGsS50dV/1OvAf9kLVdxVOFd4mxF6vxR5CvE4dPYQztPG4miz8tQQ+Adwl5BF9sXlAvN6HdI0YPxMmZwIOtiLiX1TYW8C5RYoFMib3U5l8gcr9s7oVXcds/Zb5Nb2iktxDdy8sBv/O1d8bBV5hyTVvNbOEkEwOnxs0hy7U9XiHY46If83B6Be+Cdya1cPC1h7820Oh2jwPfKZgTe0kzBGKqI3fNrZFMZkstjb+KyHII/Ljc2S6HAZ5ZHln3dUh1sX5dQxydP8i/sQcWYydt2/GdOvy6q6fKv3H5rFnl3cT5LXRiIfhH9YIym1cmzcRkunpZDV+L3BzKiM+YZ0pfLNE0RbK2BK91Zz8AVf31Zmu8bSrx6rvzJg3qPx7TKECb4Z0xmd6R6rkwPLUdczWd5lf0ysq+b0IOm9h0fvrb3mv7XGHVnZxzR+5etfjHY45+oWLn8tQjNgEOaCh+UJ4iVpOPC4qWwtvEPhMGqP9xeSzJdTGbxvbhd6L/8bWBm+NzynAIa5L9hvTZQ/II/tEZXtAnl7IHy3G8zuAzWnY/3C3m6yfKjHG5rHU7hZpcMKD7+Roc4t8LNNB74IcPdhsruisSyOHOFhOFDi50Z0mxIjNBvlhMaHjTcj00J3i+L7KjQM5eJMXBHUefg5M9KYGsqrNj2f29HGpEDuou4xZLgapil/TzStfIwFx80P92oHS5pkMud+UvBoHDHKwiRN0Od7hmiM2rKeysdzkxuKrPHQ23lO8QHXm/SyBZ2dnIY92koCb3oszhTZ+29jmxWf8orVhOrHyIDEtR1Vv69dmNrvFOizgcSk5sAOEn9kLXPZN1HT9lAXUaB5fol5tEik/FvHC54NbnN6tqq8T0TNW2WHxZiny4PGbRNlh8UbpEBev8EU0RsKHBXSvF7i5hPRlMZA/KKwRCl3bHyp8UqlDK0uZDQM/gDcte51WdQh1GXNVv8srgouEuwQ2+/GCJ/IySyD2Q73A1b+VyZ9WSa487aAGfOxneIHqXY53uOaIIXxHsPncF0ZAJ6qN/DHhhU7GgfZ9ARn5Pi2CM8RjUyRnlwuemvqljya2XawNH7+v1z0seGb4VDVPYMNcGqnp+unLPK6uGfitYA8C5RyBV0Ze8T8t/FJg0kznYtU3Foqo6LBYR4Zzha2zDiaqpO+8Nws2fR60h4TRQhHtKiEPLP2dK/hNen+1nxCQvV0oomMlRI8DsioRGzeR2QK2xMGYiL+I2sZc1++WCob4DMR5hMCNljm3+D+peh4xpvMF+rhZsLeHTVW3S8VM1WPz1Xa86naQhnOOGO9PBcbLGnq3wAPJJjZFYKMnj5MET8epYXmuUu7njVVv6pdumth2sTaCIfSadQ8L1iI5+0avh6Wv0nT9dD6P71DuFwhFi/gRyf8qXChMF6resosOCzaRwwWjssMCva8JxPk+GiX0OsmvE9DnIb5NeCBrc4PbXSijASlg/5UyRcmZGG6P/xSwmStw01xPqEpNYm7j91QF5i8AxA3g/VzYRiijVaTABkqOsR3ISto/EVYS8qjJeMO+BsTA73DNEQffKQKHBX4fFWxd3ai6XX5UHaQd9Re9qviXdFcctBz6p65fb93Etou14WOwOoeq5WInYxaUvP2izzpfGqnt+mk9j7zWDAdxWIwXXiDc4xwerDq3sp0FNiaIw+IC4Wjh80KMNhBzlnCfsJnwlFBG/MbCjXct4U6BG/PtgvlVNZcmZBJuzffnai0U7KliV+EGgcPIDipVa1OdmNv63VDRcfgzR3y+GxBuE8hxHVpfylsJY4W7BcZ/h1CF6ow37G+k5oj1tK3wImGecLVQN2cyqU1t/Na17Wpt1B5kZvBalZcK5wjvEhI1y8BIz2OlqPPeLNis2XzZuA0cJtwgjH+k6jHi0xF6H4gJEy9lIGVgicnA5RrJrcKqS8yInoUD4bV0JGmmnHPL8TROjXUEPuNwMx8QYnSumMcJxwt/FrjBJkoZSBlYsjLAZXE7YQeBN95ES3gG8t4sYsPmMxRvDNNiwoDHYXeFwOs/nwESpQykDCw5GdhXQ2EvOGTJGVIaSVEGeHPgNwUm/VVFipmszmGByZrClQK/YfAvPhKlDKQMPPszsKOGwH9nMvXZP5Q0gioZ+JyU+HGTgwLcIvDpqIj4cRjdLxYpBbIxavOvuZYN+KmZMpAy8OzMwIsVNp+eEqUMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMpAykDKQMDGcG/g/NIQ0AIl9xoQAAAABJRU5ErkJggg==" width="197.5" height="20" style="width: 197.5px; height: 20px;"><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; ">.</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; text-align: left; 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; ">Given a set positive integers 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; ">, find the integer x<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; ">, <img src="data:image/png;base64,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" width="41.5" height="18" style="width: 41.5px; 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; ">, such that <img src="data:image/png;base64,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" width="41.5" height="20" style="width: 41.5px; height: 20px;"><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; "> is minimized. <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; ">If there are more than one integers, x<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; "> in 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; "> that minimizes <img src="data:image/png;base64,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" width="22" height="20" style="width: 22px; height: 20px;"><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; ">, please output the <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; ">largest<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; "> of those x<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; ">'s.</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; text-align: left; 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; ">For example for <img src="data:image/png;base64,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" 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" width="586.5" height="64" style="width: 586.5px; height: 64px;"></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; text-align: left; 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; ">Therefore, <img src="data:image/png;base64,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" width="69" height="20" style="width: 69px; height: 20px;"><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; "> is minimized when <img src="data:image/png;base64,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" width="67.5" height="20" style="width: 67.5px; height: 20px;"><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; ">, for <img src="data:image/png;base64,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" width="121.5" height="18" style="width: 121.5px; 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; ">. Since we are asked to select the largest minimizer, our program output should be <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; ">.</div></div></div>

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Problem 53905. Easy Sequences 64: Base-14 Arithmetic Function

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Problem 53905. Easy Sequences 64: Base-14 Arithmetic Function

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