Problem 53745. Easy Sequences 60: Almost Cube Root

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>The almost cube root of 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>x</w:t></w:r></w:customXml><w:r><w:t>, is the largest possible 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>r</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>r\\ |\\ x</w:t></w:r></w:customXml><w:r><w:t> 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>r^3\\le x</w:t></w:r></w:customXml><w:r><w:t>. For example </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=72</w:t></w:r></w:customXml><w:r><w:t>, then </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>r=4</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>4^3=64&lt;72</w:t></w:r></w:customXml><w:r><w:t> and since the next larger divisor 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>72</w:t></w:r></w:customXml><w:r><w:t> which is </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>6</w:t></w:r></w:customXml><w:r><w:t>, does not qualify because </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>6^3=216&gt;72</w:t></w:r></w:customXml><w:r><w:t>. Obviously, 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>x</w:t></w:r></w:customXml><w:r><w:t> is a perfect cube, then </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>r=\\sqrt[3]{x}</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 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:rPr><w:b/></w:rPr><w:t>, please find sum of the \"almost cube roots\" of all integers from </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>1</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><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>n.</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>n=30</w:t></w:r></w:customXml><w:r><w:t>, the program ouput 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>45</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>\\sum^{30}_{i=1} R_{3}(i)=1+1+1+1+1+1+1+2+1+2+1+2+1+2+1\\\\\n\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ +2+1+2+1+2+1+2+1+2+1+2+3+2+1+3=45</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> where: </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>R_{3}(i)</w:t></w:r></w:customXml><w:r><w:t> is the almost cube root 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>i</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: 229px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; "><div style="block-size: 71px; 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; ">The almost cube root of an 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; ">, is the largest possible integer r<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="36" height="19" style="width: 36px; 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; "> and <img src="data:image/png;base64,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" width="40.5" height="19" style="width: 40.5px; 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; ">. For example <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; ">, then <img src="data:image/png;base64,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" width="35.5" height="18" style="width: 35.5px; 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 <img src="data:image/png;base64,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" width="82.5" height="19" style="width: 82.5px; 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; "> and since the next larger divisor of <img src="data:image/png;base64,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" width="18" height="18" style="width: 18px; 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; "> which is 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; ">, does not qualify because <img src="data:image/png;base64,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" width="90" height="19" style="width: 90px; 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; ">. Obviously, if 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; "> is a perfect cube, then <img src="data:image/png;base64,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" width="50.5" height="29" style="width: 50.5px; height: 29px;"><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 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; ">, please find sum of the "almost cube roots" of all integers from 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; "> to <img src="data:image/png;base64,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" width="14.5" height="18" style="width: 14.5px; 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; "> 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; ">, the program ouput should be <img src="data:image/png;base64,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" width="18" height="18" style="width: 18px; 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 style="block-size: 68px; 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,iVBORw0KGgoAAAANSUhEUgAAA8AAAACICAYAAAAoNYIHAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAADwKADAAQAAAABAAAAiAAAAADPPvcgAAAqi0lEQVR4Ae2dB9wnRX3/4Q6kd5CODxwHwgtQRECUJk0glFCDBTw0SCJFoomJUcMhGDCoYKKxUqIYQlXAQpfqn9BbULCAtEN6P476/3zudrm5vf312fq8v6/X59nZ2dmZ+b5nd3Znd/b3zDMPBgEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIGSCcwbqby9lM/u0rLSzdJJ0r1S1jZQhNO9R7pNOlO6VcIgAAEIQAACEIAABCAAAQhAAAK1J3C0avi6dIv0rPSGNE1aVQptJ628LB0vTZZOlKZL20kYBCAAAQhAAAIQgAAEIAABCECg1gTWUu1ul1ZKarmAlpdJHgQfmsR5sZr0onSTNEGyTZT8tvh5aWkJgwAEIAABCEAAAhCAAAQgAAEIFEYgHYwOW4CnPu8tPZxkMEPL05PwksnSiynSQtLZkt8W216TvL6IdKCEQQACEIAABCAAAQhAAAIQgAAEGkXgK6rtK5K/903tLgX8VniLNCJZbpnE+00wBgEIQAACEIAABCAAAQhAAAIQaAyBzVRTfwf84UyNX9K6B8BrZOK97vhnMvGsQgACEIAABCAAAQhAAAIQgAAEaklgddXKP2r1guQBrb8LdpzNvwztOCv7re8ywbYlFMYgAAEIQAACEIAABCAAAQhAAAKFEBj1G+C0Uisq8Cfp50nE+lqekoQXTJZe+E1waOG6vwXGIAABCEAAAhCAAAQgAAEIQAACjSGwg2rqf2/kN74rSP5l6PQNsNdD83q6zekwCEAAAhCAAAQgAAEIQAACEIBAIQRivQEOK3exVq5IIvzvj/zL0E8m6+EvQzsqXX9KYafDIAABCEAAAhCAAAQgAAEIQAAChRAoYgDsivr//drun7WY59JkuV6yTBfp+hVpBEsIQAACEIAABCAAAQhAAAIQgEARBIoaAPtfIN0oPZJU+qxkuXWyTBfvTwKnpREsIQABCEAAAhCAAAQgAAEIQAACdSTwz6rU5dKOQeX2UXiatEkQN5/CF0nPSWOSbQ3peekyaX4JgwAEIAABCEAAAhCAAAQgAAEI1JbACapZ+iNWNyt8lXSGtJyUNf+bowukP0gnSfdK/tXoxSUMAhCAAAQgAAEIQAACEIAABCBQewLLq4ZbS5OkfqZUL6p0m0uLSRgEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgQEIzJuT1lOat5T8w1V1sUtUkcfrUhnqAQEIQAACEIAABCAAAQhAAALtIPBFuZH+sFVdll9uB1q8gAAEIAABCEAAAhCAAAQgAIGqCOS9Ad5OlblYym67S3HfH6Gi/oGsBRMtpOXS0iqJxrRcWOpkj2nDatJLnRIQDwEIQAACEIAABCAAAQhAAAIQGIbAv2mn7NvflxW36TCZ9bGPp1s773+Q/K+SpkvZ8g9UHAYBCEAAAhCAAAQgAAEIQAACEIhKYH7ldr2UHYT+UXFl/N9ef4d8rPR0UIdbFMYgAAEIQAACEIAABCAAAQhAAALRCfj/+j4jZQfB/xO9pM4ZLqFN5wZ12KJzUrZAAAIQgAAEIAABCEAAAhCAAASGJ/Ah7ZodAHv948NnOfCe/hb5GMnlnj3w3uwAAQhAAAIQgAAEIAABCEAAAhDok8DJSpcdBL+guHX63D9WsuOV0avSqrEyJB8IQAACEIAABCAAAQhAAAIQgEBIYBGt/FbKDoJvU5x/1bks869E/0E6rqwCKQcCEIAABCAAAQhAAAIQgAAExh+Bd8pl/wui7CD4WyWj2FDl7VNymRQHAQhAAAIQgAAEIAABCEAAAuOMwGHyNzsA9voe44wD7kIAAhCAAAQgAAEIQAACEIDAOCBwvnzMDoKfVBzf5Y6DxsdFCEAAAhCAAAQgAAEIQAAC44nAMnL2QSk7CL5acRPHEwh8hQAEIAABCEAAAhCAAAQgAIFmERh00Dpd7t0sHSD53xOltpoCXv9VGsFyJgE/MDhTWku6cmZMf3/MeDHp1/0lJxUEIAABCEAAAhCAAAQgAAEI9CIw6ADY+d0neb+tpNC20MpV0n1h5DgOLyXfPYBdXPqENEPq1+5WwlMk53Fxvzs1IN0E1fHD0iaSB/lNtDFV+l+km6QXpSbamCqND9W2XBvOBXyo7hiaX0VvJ/k3OKZI60nzSY9Kr0hNszFVuIl90iTVexdpf2k3yQ+9/W8in5KaaGOqNO1Qbcs1tV9tW5/U1Hao9ugdB6V7AHy1lJ0K7enRy9bE/w1UD98MPN1BvkD53ypdIx0r+QYipp2nzB6WVuuR6X9o+xPSUZl0H9H669J+mfgmrrojsR+/kXzMnCY1zfyd+3ellyX7sKbUNMOH6lusDecCPlR7HL1Dxd8qZa+/Xve1ZFOpKdbUPsk3+0dK6fUg2xanapvvk5pitEP1LdXkfrVNfVKT26H6o3ic1MAd5pNStuO/oEb++yL1mUwd79X64dJhUvijXn5q/jEphv2dMnlV2qhHZitquwe5Zujy3yKFdrRWnpPWCSMbFPa0+L2kO6TwOGnSAHhl1f2bkt/ghz40aQCMD2q8iq0N5wI+VHwQqfjJkmeehH1RNuxrxjZSna3pfdL3BTfLPbv+E6XJXtPr1ia0Q/Ut0vR+tS19UtPbofojeZzVwNOvsp2+1z9VIw7vydRxp0zdPFgNfchuzyTvuerpvX4qfHLPlPPMs4jSpAOrBxTOPjFeUHF+i3yXtKjUNNtZFf6p5LfZ4cOGJg2Az1Hd/SBif+kVKT1WmjQAxgc1XMXWhnMBH6o9iHyDdpX0muRZS36A6mvGpGQ9fBt5o+LqbE3uk7YXWF8H7pS2lXydXkLaQbpdSq8RXnp6dJ2Ndqi+dZrcr7apT2pyO1R/FI/TGnxLfocdvsMe1G1YEx5/G9TPT859sQrNJ/ADUurDd8KNA4ad192Sb0TGpH5sayX6V2ndDokPU7zrdlSH7U2J3jvxw74UNQD2E3ffIO4pFWG+4UmPk6IGwE33wd/BuQ0uKKIBkjyLboeifSjjXMCH3gdgGe0Q83zeTC65//lCB9cOSrY7jQfJS3VIN2h0TB/yyi76fHaZMX24SPk9KC3vjDO2kNZ/L6XXiRMy24ddLfp8dr2KbofYPrSxHcrok2K2Q1v7pDLaYdi+gP1qRMADyuxTT3f+d0t1eGt5luqRXox+qXCeXaPINM0NeQn6jNsiyeeUPtP3k2wBJXpMuk/yALuptqMqnjIuagA8LSnj0IIgXRf4UNQAuOk+HJwwerygNnC2RbdD0T6UcS7gQ+8DsIx2iHk+f1ku+XcUJnRwzdeH30lpP+sb3RgW04e8+hR9PrvMWD74nmaG9EFn2sE8Wyhtg5s7pBk0uujz2fUpuh1i+tDWdiijT4rZDm3tk8poh0H7ANJHJtDpQjpIMS8psX/gyG9XQ1tLK347XKV5epinKKV2URrILN8erHvK8bDmC5/t57MWUf76Ynu59Dbp/VFyJBMIQAACEGgagSVV4amSfzcizzzoui3Y0CldkITggATWUHrPcDmzy363BNtogwBGxCDtEBHmCFnRJ40Aj12rJRBjAGwP/I3qp3JcOUBxVQ7aNlb54TSwvAHwXyrNMkHdfxiEBwkuqMT7Sr4J+VUfOy6sNBtJH5OOl7q93b1c220HzlrwFwIQgAAExhmBQ+TvGT189gPp1P6YBlhGI+DZbv4G2FPMOxlt0IlMvHjaIR7LUXKiTxqFHvtWSiDWANhO/EDKPhV9QnH3eGNF9oGgXH/n6+ljoW2ulVODiIsV9o82DWObaaclpFsl+93JNtGGR6UXpBulk6S/kDxw7mTpgHqbTgmIhwAEIACBcU9gLCHg664fTGPlExgLihz2fiLIguCQBMaC/WiHAEbJwbQd6JNKBk9x3QnM133zwFs/oT12lvx9xsvSHtJDUlW2Q1DwnxT24HNZaXVpVykcIPvJut/Gdnuyq80dbbVkS6+bjuuV7m3SMdKnk3088O5m/q7L9VpBcpu9KvVrmyrhL/pN3CXdTdoW8uySlE0QgAAEIFAygbeqPPf3tm/PWvC3AgK+t7D9WTp3Zog/VRCgHaqgPmeZ9Elz8mCtRgRiD4A/It88+LX9tXT1zFA1f5ZUsenNgGvgt73/60Bgdyt8ofTfkgemo9gqyc5P9JHJdKUJpzz3GgD77fBTkgfvK0n3S/2a23jpfhN3Sbd4l21sggAEIACBagl8VMW7v/f00Kp/f6NaEtWVvrCK/mBS/OFahtOhq6vV+CuZdqhHm9Mn1aMdqEUOgZgD4J2U/zeSMo7W8kc55ZUZ5enCE5MCZ2jpAfBkyYPd1KYocF26MuLS/1De9visRc+/2yUp/Kb8ip6pZ02r9gDYA+1BBsD/p/T+1b9RbZAyRy2L/SEAAQhAoH8CKyrp5yUPuPxbEa9IWPkEjlSRy0lnJiq/BpRoArRD9ccBfVL1bUANuhCINQBeX2V4CrEHnKdL7nyqtnB689WqjL+3tT4j+cenbL5RiDUA9slu85vaXua0Zma7VnpxZqj7n6eTzeGPenXfY9ZW7/e9fhI2II2nk23VpZ4pm68ozVFd0u2ubdd02V7kpqb74FkV3abU+8fgbJ510G02xK+1fVcnrMDwYTZ02mE2i2FCdTifPZvIb3wXl/5KulkaxOrgwyD1zUtbBx/erYr5s6YbpCnSIEafNJvWqH0S7VD9NZo+afbxTKimBGIMgP1d6s+kxSR3XB5UviFVbeEA+JKgMqconA6A91P4CGl6sD0b3EsRHjD57atvLPyjVfdKWXs+iUgHANnt4Xr69tdxF4UbuoQXSra92iVN2zf5GOtnOrenP1mdbP5OG0qIb7oP7jP6aQNfALulW7wE1p2KwIfZZGiH2SyGCdXhfD5KFffvbXxWOmsIJ+rgwxDVnmOXqn3wzKzzJM+U2k3qdk+hzXMZfdJsJKP0SbTDrM8gul17U9JFXqPpk1LKLGtLwJ3uKOZBxvmSfwDKg8K/lGZIVdtaqsDbgkqE39j6DfXXpAUkd7R7Sj+W8uxoRXpa2W3SJMnTvD8ubSI9IIX2YLKyTBjZIbx9EB/WLYieK5jmm5YzV4JxEDFVPna7wftuwuBsLcOHHkn0m4u73wyVH5iqIpvswy2q/0HSBCnPdlXkLpL7gcPzEiRx07psK3oTPswmTDvMZjFMaKp2qvJ8PkDlf1E6TjpeGsamaqcqfRimztl9qvTB9xEXJBXaTstHkvAgC/qk2bSG7ZNoh1kMqz6W6JNmH8uEWkrAT4/Okd6QnpLWkepih6kirpf1qOS6hnaGVtLtl4YbgrAH0bdLKyVxHjBfJnm/Q5O4cPHJZFs/043dwXeqW5hnGPa3Xd5niTCyj7CnVj0RQf0O1DtVaUdtSJmf1inRiPEp17z2GTHrmbtfp7+pD2vGyDAnj6b7cHDC6PEc32JFFd0ORftQxrmAD72PtjLaocjzeXe56G99v93b1ZFSFOmDK1b0+ewyivLBM7OulNzfrSsVZUWfz6530e1QpA9taYcy+qQi26EtfVIZ7VBUX0G+fRLo9Bann92PUyK/PfWU3L2l30h1sQ8EFfEA14OW0E4JVrZR+G3Behr01Gf79XAS4TdapyfhJZNluEjfzKYD5nBbGPZF0tPGbX5Lma3bzA2ZP/62dQHJ06yfyWzrtTqfEiwdQX66ikEAAhCAQPUEtlUV/CD3TOmQDtXxdeOYDtuIHp2AP6U5W9pQ2km6S8qzKYr0rDGsGAK0QzFcB82VPmlQYqSvlIAHR8PYX2snf29k+1vJb0brYh4obh1UJu8NrweeD0krS347PEU6Sgrt2HAlCU/W0gP+83O2/TaJe6+WfrDwek4aR20RxPutqtN66u6XpOy0akXNtC2T5W3JcpBFXX4FOvsWfhAf6pIWH+rREk1vh6bX30cBPlR3LrxHRZ8n+frxUSnvWuNBwanSi1LdrYnHkq/bp0nbSB783iDlma/d35HekbexZnG0Q/UN0sQ2MDX6pOqPHWowIIFhBsB+yvOfSTn+5ugHA5ZZdHJfjBYJCvl/QTgNvqbAD6XPJRGf0NID3peT9bzFZor0YH+K5KnRWbtHEb4Ibiz5ifBNUp69K4i8XOGvSb44Tgvis0Ezt/mCO6jV5Veglw8qvmAQblIQH+rRWk1vh6bX30cBPlRzLmygYn8h+Ro3Xcq7/nrGz/skL9Nrh4K1taYdSx6kfE/aV/J1e0oiLd40D5DXl9xe10p3S3U32qH6FmpaG5gYfVL1xw01KIHAOirjKcnTds+Vyn5a5cGipxx1skna4AuN65fqbzok9tvcNI2XvpEIO590t9UVOFF6QXI6D34dl2fpd8CfzduYxJlbWu6vFX5Scl26md/izpB8Q9NEW0OV9tvr1O/HFF67AEd8M+IyDo2c90Tld0SSd+qDj8X5I5fj7Jruw8HywYz8TVxsK6sdivShrHMBH7offWW1Q8zz2b9L8YiU9kG9lr9X2hjX6Jg+hK1S1vnsMmP68HXl14t9uH3/0Okhw0Wez2W1Q2wf2tYOZfVJMduhbX2ST8+y2mHIroDdqiCwnAr9g+SO3W86F5bKNJ9ofkN7QIdCP6f48KIThv+sbXn1vTqzz6taH5NCe69W/k7yt1ZpnlconGdLKfIlyW+DfVHJs79XZJrPgwpvmpcoiNs8Se+Bc9PMU8wfkDxFL/U5XTruXsmdcSybpoycf8wBsL9197fXab3D5TOKv1OKaU33IebFNeRaZjsU4UPZ5wI+hEfP7HDZ7RDzfL5EboT9T6/wP812e6RQTB/SipR5PrvMWD68T3n14h5u9wuDhVyBEa2I89lVKrMdYvrQpnYou0+K2Q5t6pPKbocRuwR2L4vAgirI03jcsd8vrSiVaX7zeaP0rJQ3kC2rLjuooOmSOazQodB/T7ZP6bDd0f5eYlvJ09h62a+UwIPqDXslZPvM77rdNjEHwGVjfUgFNtmHg5L6F/EGuKy2wIeySHcvpw3t0PTz2S2ED92P0zK2tuFcwIcyjpTeZbShHdrQJ/VuKVJUTsBTqE6XfFPuAegGUpnmacm3SS7f05Srtl+qAq7LJh0qsoDi/Ybcb8vf0iFNv9EeJLusQ/rdYZynW1v++4192Q9oYmJvug9+QOU26HR+xGRVVF74UBTZwfJtQzs0/Xx2i+HDYMdtEanbcC7gQxFHxuB5tqEd2tAnDd5y7FE6gS+pRA/CPD145xJLX0VlfVXyoNvlW572UrUdowq4Lp3eALt+Y9IT0o+kYW0l7ei37WcPmwH7QQACEIAABCAAAQhAAAIQgED/BPzjDengs6xppeupzP+SXg7Kdh3ukepg56sSfsPby/ywwN+5HtUrYc72RRV3s+S3yEvkbCcKAhCAAAQgAAEIQAACEIAABCIS2FJ5+ZeHPfj0d60xzNOp/d2rpzX7l9Y8nXoP6QvS6dIdUjrgzi7/WdvKNJd3ubRjUOg+Ck+T+p3eOUVpzdD7DWI/U2IP+NccZCfSQgACEIAABCAAAQhAAAIQgMDgBCZrl8eldBDqH2F6YUS9qP39RjTNc5Dla9rPU6LLtBNUWFpHv429SjpD8q9hD2J+oz3oD1jtpX0WH6QQ0kIAAhCAAAQgAAEIQAACEIDA4ASW1C53S+ngrw7LCwd3I8oeflO9tTRJmiBhEIAABCAAAQhAAAIQgAAEINAiAlPki9+41mHgm9ZhvxbxxRUIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIDAOCfg/xW8RUQG6yiv/5KWipgnWUEAAhCAAAQgAAEIQAACEIAABEYmcI5y8P/ofe+IOU3W/qdJ6f8dXmHE/NgdAhCAAAQgAAEIQAACEIAABCCQS2BCbmzvyPuV5Dnpxd5Ju6bYVltPlmZ0TcVGCEAAAhCAAAQgAAEIQAACEIBAhQTmi1j275SX3yjzBjgiVLKCAAQgAAEIQAACEIAABCAAgdkEhn0D7BzmnZ0NIQhAAAIQgAAEIAABCEAAAhCAQL0JDDoAnip3LpQelP5DwiAAAQhAAAIQgAAEIAABCEAAAo0gMOgA+Dh59Yq0snRp4uEpWvp74H61b7IfCwhAAAIQgAAEIAABCEAAAhCAQGkEBv2O9yXVbJLkX22+LKnlVVq+nIT7WdzXTyLSQAACEIAABCAAAQhAAAIQgAAEqiSwigr3j1VdF7kS/AhWZKBkBwEIQAACEIAABCAAAQhAAAJzEhh0CvT2ye4Xz5kNaxCAAAQgAAEIQAACEIAABCAAgXoTiDEAHvQb4N3rjYTaQQACEIAABCAAAQhAAAIQgEAbCQz6DfBWgvCsdL20l3SONOg3wNO0DwYBCEAAAhCAAAQgAAEIQAACEKgtgbeqZv7+90rpG9IhUgxbTpm8KjnvTWJkSB4QgAAEIAABCEAAAhCAAAQgAIFRCCyqnf0r0B6sfm2UjIJ9P6/w/ZIHv9bd0tclDAIQgAAEIAABCEAAAhCAAAQgUCmBFVX6spXWgMIhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAYlwQmjkuvcRoCcxOYX1HbSXtIU6T1pPmkR6VXpKbZBFX4w9Im0s0Nqnzb2mFM7P9Fukl6UWqKTVJFd5H2l3aTlpFekJ6SmmhjqjTtUG3L0SdVyz8tvant0IY+yf3o3tKHpD2l5aWXpMelplgb2iFkPaaVJl4bNle9fSxNkd4lvUV6THpZaot9XI58Svq95HvxbvZubVw5R29X3CnSH6U/SRgEIBAQeIfCt0pv5OgJxW0qNcV8c7Of9BvJ/pwmNcXa1A6rCvp3JV+M3A5rSk0wP4A4UkrrnT0nTtW2iVJTjHaovqXok6pvA9egqe3Qlj7pQLWB7yeyfarXT5TmlepsbWmHlHFTrw0e5P1MyjuOHlK8X960wTaWE375ZD936OHQB5J0eUwc97Dk4xeDAAQCApMV9pu5TieO45+TtpHqbL547iXdIYW+NGUA3JZ28MXpm9KMTDs0ZQD8/Uy9w2MpDf9Eafy0uc5GO1TfOvRJ1beBa9D0dmhDn+Q3vu4/n5fOkC6UnpbSPtXLI6U6WxvawXybfG1YWPW/RfLx4lllZyXL8Dh6UnFLSk22RVT5e6TUr14D4MuCtOk+4fLIJsOg7hAogoBvDK6SXpOOlVaU/HZrUrIevgW7UXF1tp1VuZ9KH5HOl9KTvwkD4Da1wzlif7S0v/RK0A5NGABvn9T3Ti23lRaUlpB88bldSo8pLz09us5GO1TfOvRJ1beBa9DkdmhDn+T7Cj9kv1haVkrNDxGPkNJ+1X1sXa0N7ZCybfK14UQ5MV3aN3UmWa6u5f9J6bG0Z2Z701a/F/hin7oNgDdK0v5Kyy/l6HDFeUCNQaDxBPw9ogetF0TwZDPl4ZPrCx3yOijZ7jQeJC/VId2g0TF9yCt7b0W6zlZRA2C/BXQ7xOhoq2qHmD4IxVzmgWTaDkUNgGP6cJHq+6Dk79KytpAi/B1O6s8J2QRDrhd9LrhaRbdDbB/a2A5l9Ekx26GtfVIZ7dD0Psl9RkwffFN+vbSAM86xcOCyWM72YaNi+tDGPslcm3RtWFz1fU7y79Tk2T6KTK/PX81L0JC43RM/fhv4020A/D9K5/vzyRIGgVYTOFje+SR/PIKXX1Ye/lZ2Qoe8/Gbyd1LaqfgGK4bF9CGvPjsqMq1zUQPgaUkZh+ZVYMC4qtohpg95Ll+XMHJbFDUAjuXDoqrjDOmDUifzW+30uLq5U6IB44s+F1ydotshpg9tbYcy+qSY7dDWPqmMdmh6n+Q+I5YPzusr0roOdLDLFe9+1fc0vueIZbF8aGufZM5Nuja8U/X17LJOtqU2pNfnwzolqnn8Cqqff8jLD1wOkVJ/Og2A11CaV6UbJT8gGMg63fgPlAmJIdBQAkuq3lOl1zvU3yffbcG2TumCJASHIEA7DAEt8i6+kFwlndkl31uCbZwLAYyIQdohIswRsqJPGgFepF3bci78o3jc1YHJAorfNNnmKdK+56ibtaUd6sZ10Prcqh2+2GUnD4BtvjZfOjPUvD8nq8oTpAOlfs6FTyvdRMnToJ+S/BnBV6UNpJ42X88UJIBAewn4CVMveylI8McgTDAeAdohHsthc/KFY/seO3Mu9AAUYTPtEAFihCzokyJAHDGL8XAu7CJGC0t/lj49Iq+idh8P7VAUu7LynV8F7ZkU5rfEntnYNDtUFd5J8lTuh/uo/DJK44Fyah44r5/oM1qeL31C8rmVa94BgwAEOhMYSzbdo2Wnp7id92ZLLAJjSUa0Qyyig+eTtoH3/Ongu7NHJAJjQT60QwCj5GDaDvRJJYMPikvbwFFNOxd2Vp1/JD0pbSw9IjXVxoKKN60dgqo3MugHKOdJG0pTE2nRKFtXtf036YfS2X3WfFGlu1y6T8p7W7yb4m+QVpJyjQFwLhYiITCTwFv1N52e9G2YVEaAdqgM/RwF75qs+YnquXNsYaVMArRDmbTzy6JPyudSdmwTzwV/53is5IHiQtLS0o+l1aSmWhPboams03p7/OY3ptckS8f7zefhDgxhvqY/EUHbDlj2W5Tex/+j0mED7PsnpfVxt7q0mLSJdKr0upTaqgr8TPI06bmMKdBzISECAm8S+KhCPkc8Behbb8YSKJsA7VA28bnL81Pm9AeyfIENp0PPnZqYogjQDkWRHSxf+qTBeBWRuonngqd5niBl7723UNy10jrS81KTrInt0CS+eXU18zukNTIbPRD8hjRvssxs7rrqff0wZlSbf8AMjlH6DaStpWelYewF7eS3vZ4S/e+S79c3k2x+M76f5EH2HJY9CefYyAoExjGBFeX75yXf6Puk8v90xconQDuUzzyvxCMVuZx0ZqK8NMQVT4B2KJ5xrxLok3oRKmd7E8+Fk4Tml5K/X3y/5H/B6KmctlWkz0m+72iSNbEdmsQ3r64vKnJzaUlpTekIaRsptaMU+G/psTSij+VxSnNWH+l6JbmpV4Jgu88Bv7U+Xro6iB8l6B/r9K/d3yhNTjLyPfxcA+BkGwsI1IaApxw/0UV+0vOG5GkO3dJdoO3D2rza0dNBXMY+Q2RStQ8++c3IOm2I+nuXXtNhzMb5uz26tYM76WFt1Hao2ofr5HjaDr5IDWNV++A6v1vyA6DrJU/ZG8SqPhdc11HboQ4+2I8mt0OMPqkO7dD0PilGOzS9T/K5VAcfXI8x6VIpvU74e/J+rQ4+NLlPMue2XBvcL/2N9JyUHksfUrjO5sH7/ZIHrJ4GnbVPKiL1ZYfsxj7W11OaV5M8fpeXnjfAeVSIq5KAj8l+pmH4hO+WbvERnDhK++4hfVYa5olYHXwYwf2Zuy6mv934pvl7Ko7VyQadDhPmM2o71MGH0J9hwlX7sIoqfZ7kC9Vu0nRpEGvDuVAHH2iHWdNG++mT6nxtqPp8HuTc7ZS2ah9GPRfsV9U+pGzvU8D3Gk9IvlauIXkw8LLUy6r2YdR2qEO/2otxr+118cEDxe9IY9I/Sra3z1rU9u83VDN/o+tPAt6fU8sNg7iNFHa/brtd8v+47mV3KsHd0rqSf7NhLnPjYRCoEwE/DTpImtChUrsqfhdphnR4hzSO7ucEydv9AEV+UTpO8rSMYaxqH4apc3afqYroNvj/brLD2VpekoTzFu6AhrEY7TBVBVfpwzB+Z/ep0gc/REpnUmyn8CPZyvWx3oZzoWofaIdZB1rV7UCfNKsdpmpRVb8a41ywF1X64PJD81u7X0tbSf6xHg9sPSDuZVOVoMntUPX53ItvP9vr5sOFqnQ6AF6qHwcqTPOOpOyv91GHfw3SuB/+UbDeLXizNnoA/HS3RGyDQFMIHKyK+mnX4wVUeHfl6ame3y4g7zDLIn1wOTtK6dSR08KCI4b9gMFlHBoxzzSrstqhSB/sy3VS2g5rps5FXhblg6c6Xyn5PPMFpCgr+lxwvYtuhyJ9aEs7lNEnFdkObemTymiHpvdJ7jOK8sF559nRivS14sm8jUPGFeVDW/okY23ytSHvsPDsgdckH0uH5yXoEneutvnBy6jatksZ4SYPTl3XTnpd29L7Jy/TdB9RuF/7vhJ6X7fzXNbpLdtcCYmAQMsJ+KQ9QzpTOqSDr36idkyHbUTHIUA7xOE4Si6eiuc3+56CtJN0l5RnUxS5Sd4G4qIQoB2iYBw5E/qkkRGOnEHbz4VlEkJ3jEyq2Aza3g7F0is+d39Xm47rBj2WPPPAn5iMKh8j/di7lGhiF4UvVz4QpBvkpU76lvm8vArNlxdJHATGGYH3yF+fIBdLH5X85ClrPqlPlV7MbqjhevqtRA2r1rVKtENXPKVs9MXTF5htJA9+b5DybEtF+puj9AKTl6YucU08H9rWDk1sAx+/9EnVn8VtOxeyRH1vsUMSeWJ2Y43W29gOTe2XOh0Wf5FsuFXLKzol6hB/nOK7TanvsNtc0TfNFVNNxOYqdmPJszpPyqsCA+A8KsSNJwIbyNlfSItI/oGfH0hZ8xOx90le+m1A3W35oIILBuE6B2mH6lvHNwPfk/aVPH1uSiIt3jTfBK0vub2ulYb9xlu7lmZNOx/a2A5NawMfnPRJpZ2iHQtqw7nwV/Lug9L/Sh7gTpdC+wetTJKulH4SbqhRuA3tkIezSf2SZwl8RVpA+qbk4ym05bRytOSpwj6mPPV3ELtMia0mmBn8XPLnWeZgf38vpWZW30pWvO3RdANLCDSZwMGqvE9sf5s4qq2lDB6RnF8/8gnmC8GoFtOHbF3WUMRtUurPYwqvnU0UYX1aUkY4TWXYbKtqh5g+hL5P1MoRCZ+0Hb6mdT/pj20xffi6KpfWt5/l/hGcOTgpM8b5nK1OWe0Q24e2tUNZfVLMdmhbn+Rzo6x2aHqfZFYxfXhA+aX96f0KT5FWlPyJyX9K3na55CmoMS2mD23rk5p4bfi4Do70OPIsxR9LnoG1krS35GPrJWkvqQ32STmR+rtDxiE/nEy3eemHSp+T1pb2ke6RHP/3EgaB1hA4WJ74wI5xw3xJkld4InUL/1MkijF9SKu0sgK+0LpjzPrguHsllxvLpikjlxNjAFxVO8T0IeXqaUTPJ2yy7fCM4u9ME0ZaxvLBMxyy9e22/pTSLxTBBx+TLifG+RxWp8x2iOlDm9qh7D4pZju0qU8qux2a3ie5H4nlg/P6tJTXlz6r+Gskz7iJ8WBd2cxhsXxoU59kQE29NiyuuvseL3ss+f7uD5IfpqwitcU+JkdSX7fMcepkxdn3NE26dNy50kZSV2MKdFc8bKwhAR/csWz7WBkNmE9MH9KiH1Jg1XSlhGVMH9rUDn5IEutBST/NGKsdrlVhRdyE9fIhVv2z5ZTZDjF9aFM70Cdlj8re6zGPpbS0prZDVeeCucVsB789/bn0TmkpyYMYPwj1GzvftBdlsXyoqh1i1T/Lt6nXBj8wmSxtJfmh1mvSXYle0LJtdrIcsjqZB8hHS+tJnlFhPvdJfhjgmY89rYobnp6VIgEEuhBYWNt8IXlVur5LujpvaoMPawuwv7O4V/KT5iYaPlTfam04F/Ch+uPINWhDO9An1eNYoh2qb4c2nM9t8KH6I4EaQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgXoR+P8eXDgGd8qm8QAAAABJRU5ErkJggg==" width="480" height="68" style="width: 480px; height: 68px;"></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; "> where: <img src="data:image/png;base64,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" width="33" height="20" style="width: 33px; 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 the almost cube root of i<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>

Solve

Solution Stats

4 Solutions
3 Solvers

Last Solution submitted on Mar 19, 2023

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Tim on 30 Dec 2021

I am getting s=3771 for n=1000 and ss=[36, 578069405385, 493, 21113, 50479263911] for test 10.

Ramon Villamangca on 31 Dec 2021

Hi Tim,

You are correct. Please try again and please like and rate the problem. Thanks.

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 53745. Easy Sequences 60: Almost Cube Root

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers3

Suggested Problems

More from this Author101

Problem Tags

Community Treasure Hunt

Problem 53745. Easy Sequences 60: Almost Cube Root

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers3

Suggested Problems

More from this Author101

Problem Tags

Community Treasure Hunt

Players