Problem 58284. Easy Sequences 117: Fractional Part of Cube Roots

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 </w:t></w:r><w:hyperlink w:docLocation=\"https://brilliant.org/wiki/factional-part-function/\"><w:r><w:rPr><w:b/></w:rPr><w:t>fractional part function</w:t></w:r></w:hyperlink><w:r><w:rPr><w:b/></w:rPr><w:t> </w:t></w:r><w:r><w:t>of a positive real 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>r</w:t></w:r></w:customXml><w:r><w:t>, denoted 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>\\{r\\}</w:t></w:r></w:customXml><w:r><w:t>, is defined 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>\\{r\\}=r-\\lfloor r \\rfloor</w:t></w:r></w:customXml><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>\\lfloor r \\rfloor</w:t></w:r></w:customXml><w:r><w:t>, is the </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/help/matlab/ref/floor.html#\"><w:r><w:rPr><w:b/><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>floor</w:t></w:r></w:hyperlink><w:r><w:t> 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>r</w:t></w:r></w:customXml><w:r><w:t>. Thus, </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>\\{ \\sqrt[3] 2 \\}=0.2599...</w:t></w:r></w:customXml><w:r><w:t>, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\{ \\pi \\}=0.14159...</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>\\{10\\}=0</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 positive 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>, create the 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>\\text{FPCR}(n)</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>, that evaluates the following summation:</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>\\text{FPCR}(n) = \\sum_{r=1}^n \\{ \\sqrt[3] r \\}</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>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=10</w:t></w:r></w:customXml><w:r><w:t>: </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\text{FPCR}(10) = \\sum_{r=1}^{10} \\{ \\sqrt[3] r \\} = \\{ \\sqrt[3] 1 \\}+\\{ \\sqrt[3] 2 \\}+\\{ \\sqrt[3] 3 \\}+\\{ \\sqrt[3] 4 \\}+\\{ \\sqrt[3] 5 \\}+\\{ \\sqrt[3] 6 \\}+\\{ \\sqrt[3] 7 \\}+\\{ \\sqrt[3] 8 \\}+\\{ \\sqrt[3] 9 \\}+\\{ \\sqrt [3]{10} \\}\\\\ \\\\\n\\ \\ \\ \\ \\ \\ \\ \\ \\&gt;\\&gt;\\&gt; = 0 + 0.2599... + 0.4422... + 0.5874... + 0.7100... + 0.8171... + 0.9129... + 0 + 0.0801... + 0.1544...\\\\ \\\\\n\\ \\ \\ \\ \\ \\ \\ \\ \\&gt;\\&gt;\\&gt; = 3.9641...</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>Please present the function output rounded-off to nearest 3 decimal places Therefore, for </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n=10</w:t></w:r></w:customXml><w:r><w:t>, the function should return </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>3.964</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: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>NOTE:</w:t></w:r><w:r><w:t> This is a follow-up problem to: </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/53930-easy-sequences-65-fractional-part-of-square-roots\"><w:r><w:rPr><w:b/></w:rPr><w:t>Problem 53930. Easy Sequences 65: Fractional Part of Square Roots</w:t></w:r></w:hyperlink><w:r><w:rPr><w:b/></w:rPr><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: 20.4333px; 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: 392px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 196px; transform-origin: 407px 196px; vertical-align: baseline; "><div style="block-size: 48px; 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 24px; text-align: left; transform-origin: 384px 24px; 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: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; ">The <a target='_blank' href = "https://brilliant.org/wiki/factional-part-function/">fractional part function</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: 2px 8px; transform-origin: 2px 8px; 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: 80px 8px; transform-origin: 80px 8px; unicode-bidi: normal; ">of a positive real number 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; perspective-origin: 41.5px 8px; transform-origin: 41.5px 8px; unicode-bidi: normal; ">, denoted as <img src="data:image/png;base64,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" style="width: 24.5px; height: 18.5px;" width="24.5" height="18.5"><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: 48px 8px; transform-origin: 48px 8px; unicode-bidi: normal; ">, is defined as: <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK0AAAAlCAYAAAAwTGn2AAAFVklEQVR4Xu1cOcsVSxD1+wEGLpGBgUsgCApuIBoYuEdi8DQTFNzAUFFf5gJqJriBoetDMxVNNNDEDTQyUQNBI1f8Ac9zpBuaYWbu6e66y9zbA8XcO0zXqao+1TNT3TNT08pWItCxCEx1zN5ibonAtELaQoLORSCFtLPg5SrIYsgnyC0Dr9dAx2qn7wX2Hw10FhX5EWBfrzfqY9WaHb3wYkhLB05A9kMuQe5BPkPeqta0nEfdiyCbnX4S94iRbgPzJlYFB5OnkBie5ARrHhp/6IWnGkNSPYQsh+zslQk5VqPtEsgTp4N4ZdTNDGhG80GTVsJTSbsXjl92I+yBjCCoTQeNp9o1aedJJDIMioSnkvYwDDvjLtlnDY1sUuWNf4QTNg0Ar0DUR0AikWHwJLxCWsOIj6EqiUSGfkt4hbSGER9DVRKJDP2W8AppDSM+hqokEhn6LeEV0hpGfAxVSSQy9FvCK6Q1jPgYqpJIZOi3hDcI0tKQLxBfb2UddjrkWYuz41Y9oM/c/EQMi+hzIO8g3ww73VqVRKIaUD9ZFPpHXb+DGNTZKuH1g7SssW6DLIDMd5bNdvvr2G90vznj1VQ+syQtdeVuvYJd1U/MfyHsPE6QcNsKeQA5BTnmjo16SU8ikfPlIvZMxpWQGZBXkBUQJuzdgAtr8btpwJLwVNLSIE7fxsyGvXQdRuNZa+WMGp3xRD6N38cb2ERH30A4pUfy52z/5zR2bW9jzznx2C0kKBOX0+Abghj4jo3VO6jzJRIFxjBJv7r/7N//IJzd/B747JO3zgcJTyEts4fB5bYQol7OPGlpPIlKApKk7Ej+52jTNkVLknNUbstMpfOoJ3d7DAUpkyqetIzfVcgeCEcfJsAuyElI221Srt257SUSBSAhaTnA0b9DkOeQCxCSt21GVcLrRdotALnmwLZjry6OqWYcRxd2VsxGHbyd4OXmKOQORE2YGJx+nusTlwuMSNSYpA/t8s8BObam3D9LJAqMIl/uu/8crLg1XU3rfJHwmkjLAN90Whnw2PUGofEcYWMIX3XGTyHzeIotOR2d0zZMXMbgHORKokJ/1Uls/rfZUog66HgciUSBUf7KQn9nOomxWcJTRtrzDjWGeP4emE1T7we7PtKGif8joQPDziYZlsX0fs25HHhiV8xJJAqw3uO3f2bZl5CkEl4v0tKelHva0PiUDCeu1T3tMKoHtD9M3JQOzOSoSXOJRA7Jr4Xl39QklfAU0oYdoATfP/nnjLI+ABZP18OqHvChg9WS1A40YV2mEolEDsMvJ+VfhSd1pkl4KmljliaGxreVN9riaVmnHUb1IEzcttJeJqf63lwikbOCr139436zvJfy0Czh9YO0/rKeM8JYkrbvPVsDED48pt4eDcPuKqZEItfIX9FSn2GoRsKzJm34xJzzpN910vpSl8XkyDDJK5EIBobVopgJqKQksSZtaHzqrUGYcaM+zVlHqGqNOqZOOUyCJt9jomF15i/l1mBoI61fd0ADcl6T6fJI69cdMAZdf6NYHWn9uoPX8DknSSU865HWaqToMmmtYjAKeiQSGRoq4RXSGkZ8DFVJJDL0W8IrpDWM+Biqkkhk6LeEp5LWT0nmVARifCvfPYiJVv/OlUhkCC/hqaQNvzCTUxVQ/Au/MLMODWIXeSgY5RwtAhKJNFXSWRKeSloiVr/ldQPHwtdoJKsaTvKvn5RveeVE0b5t+EBc1f4TBw5CUspb7G9WHKqbf9OjlZcxpPUA/pWKuThQvppoT5RR0kgS7W4w6BeOpy61zNKbQtpRCmqxZQIjUEg7gZ3edZcLabvegxNo/x/Jg0o14VJOFQAAAABJRU5ErkJggg==" style="width: 86.5px; height: 18.5px;" width="86.5" height="18.5"><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: 25px 8px; transform-origin: 25px 8px; unicode-bidi: normal; ">, where <img src="data:image/png;base64,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" style="width: 23px; height: 18.5px;" width="23" height="18.5"><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: 21.15px 8px; transform-origin: 21.15px 8px; unicode-bidi: normal; ">, is the <a target='_blank' href = "https://www.mathworks.com/help/matlab/ref/floor.html#">floor</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: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; "> of 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; perspective-origin: 24px 8px; transform-origin: 24px 8px; unicode-bidi: normal; ">. Thus, <img src="data:image/png;base64,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" style="width: 116.5px; height: 27px;" width="116.5" height="27"><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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; ">, <img src="data:image/png;base64,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" style="width: 105.5px; height: 18.5px;" width="105.5" height="18.5"><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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; "> and <img src="data:image/png;base64,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" style="width: 59px; height: 18.5px;" width="59" height="18.5"><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; ">.</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: 89px 8px; transform-origin: 89px 8px; unicode-bidi: normal; ">Given a positive 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; perspective-origin: 73px 8px; transform-origin: 73px 8px; unicode-bidi: normal; ">, create the function <img src="data:image/png;base64,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" style="width: 59px; height: 18.5px;" width="59" height="18.5"><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: 143.5px 8px; transform-origin: 143.5px 8px; unicode-bidi: normal; ">, that evaluates the following summation:</div><div style="block-size: 45px; 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 22.5px; text-align: left; transform-origin: 384px 22.5px; 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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; "> <img src="data:image/png;base64,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" style="width: 143px; height: 45px;" width="143" height="45"></div><div style="block-size: 140px; 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 70px; text-align: left; transform-origin: 384px 70px; 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: 51.5px 8px; transform-origin: 51.5px 8px; unicode-bidi: normal; ">For example for <img src="data:image/png;base64,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" style="width: 44px; height: 18px;" width="44" 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: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; ">: <img 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yZyF11Tx1zm5hfXay8utTxz4u1Vh1G29Tr6HFI+lARQHd+Ymgdu8dmLS46Nau/Zyxfs6SP7DvWcOtductuLS04dau/Zqw49bet1jbUb/V3fx5Iv3upL7cWl1m6peHv5gqN8ZH8zT1qmNuxKa/Qj/pj/3HbbR43HaB1mlG297bqOrON0c59XtWttblXc91jQ4oAfpZ2jea89N0XPy9pE34U8z2TL0fUPIWpHSrhj2R0cpREPTEpfgruAuTCwtttZgN5iwXeXqrHcbUEivAunS0cSKM+HRJR8AqM/x40uTkPxn2sh5zz7kiMNwjNcvXg5E6q11ymds+qzJSb7ax69dsGvNcCRf3+NJX7XJYPaScpa+db4yF5PtfAfLfjxPspbvOMdjT6Qv8N+044aLcToYR4t8KtOe06sNRkQl5zX8UsF4F7tp6gj7JXp4HT2cuacXc4ROCWLOH6epi8gyylC5L91xuYejlDYT2wdTebNOEdQCsfUpeafGpe2Hpk9uYx6dPesg48BvWwbvmb7BQN0++V5dZ+tZQzek8so255tzPX6iFeOT7rGdU8uo2y7p+CpcT3nCJzcRVcxCY+4jBlpM4uOqyzZjeZp7MkF264TCN/waV1MP5NtZ/SRUz5U2ApqxbK9uIx6ZpXuXnXoPf9xP2ppPtXjmKy9uIyy7Z6+YG8f2ReEYn/JdbnaRTmx3pMLtl0nEG9iyzmZwxdu4/mva+u7tYut3XzeceQ6/BqotAPed3eFO0mWBHel68LqmtAfnien+1OOcJjeUp6h47tmqHhVPWeyo3TlMKeOw/FXKj9t977SgovGqTy8w5Bz/jgLsWjs9Urx0YDibziMeqhHpxs6RL13WYmzVttm/LDYnhPr3PbuE5FHLLTZ0e3kDANkzGgvZ65k0VKLOFrUSj0zWqD74qVCb7v8F5H/Fog926r6Ce0gSn3TwQWlrT7W+xyNpb6D0Bf9wwX81Li01hfsyWVUf7RnHXrbVjuS4o+Xhz6ZfKzavn1PLqNse6YxN975nfJJt5juyWWUbfcUszWu5xxtlOu/uy1bbLjGdU8u2HaZgAuD+jWn3eRyPINtZ/OR/VlN2dE3uKXuW7P1Xlxy21rNfXvVoef8x/WktRMAxKH1GKK9uNTYLCfOnr5gTx/Zn8m1hTfvT2sX5vbkkmOnmnv2rENP26qumsvqSMW/tPAkC/5du5TIH26SX/LB3D/e6hO2WBcx7Snyq+B6VaVE5FdFwt3Z8bnKoSifKxS40K+04538OSK/4km48t2mqXxLBoTQcLm7psLz6NfKEi5MbDn2I53/mg6gJk64kLO26FGTrsdRe5zxo2J7Tay9Pea85ZIrALfYay1uUUc4ogAD0tzLmVNbksCXOmaqdhHH6zGLyO/jRmpwrzX5nm1VdflkRh+XEpTUD3zFwtqkM2eRP8VrDy7Y9v5WcCF/bSEo19/o5qimGsrK797PjBA7leVZxlwf0z9odfI3ZluY7cFltG33EjzVx73fQuoN25xFV38MtLtQ85ecNy1LH63RXLzPX9sYVlrepftH18HzHGHbcN6YmpuWshrNZQ/bzuYjy8/K+Y6f5lLSM1L9xJrNR3PxdtnLp1+qx+g6eJ495z++03uLS6sPOprLaNvu4ee7bXvNf3w8Vro5G4Zz3oqP2/weXFrbXmqM2aMOvW27VKdwPpvSAZzpmoif03a6zZ16ivyaKDzsMmCpgLmTfD/r3Cvlk4vQmSkVc/31ilqR3ztmlSm1ClfrUOeK/OGxR2sdRdhoUo6fnAVN5lJvHaQe3iN/D0WGkU7FkXUszXvExFptRSHczSmnVNcvW9g6hqhWAC6t99r9ew4uvcqcSqe3M+c2eq1l7DvxtYj2Pgt3Wkh9CLB2EQeR/76WHtFW9ZzqSIYXWrjnkp3srWPHJORtHdWQIyhpXHqyBaW5doVvXdWIhiO4xGWd0ckdbVv1AQ/YeP5DsaZWdNjDtqOF4LOMufJhH2RBH0/XsWG6ap5Xf7ZGcImf29G27S14+uYUsXbfyRfTftP+lvq+RWrR1fl43/1W+8O7Msbwje578afeXOJM9hCCe9dhL9uGc+raXYBb9u7N5QjbzuYjy39Sn7B1lX4HbSmt3lziPEYLwcqvdx32mP+kBD/Vy++51rc0Rtt2hC842kcOdbk1XynU5VI64tIzO4JLnA/znzwPKFfkD3fxb2mx0k60EaNmHC9qFz1E/rWvDeeK/OF9Prn4kv3jsxZS5/Wvmcd3JtWK/OGO/y0j+G7GlLC+VM5ckT8UStQo1sQZf+Urfhsizludnwa3mE1eU7+eu8KFmNTK2vWUelxJRkys1Vb8FSUNUtoB/CcWXDTcqo3arT42kjrGZRSRoo5wVCE6p9vbyRWjuy+DjXbOSRjQ21g6eiV1Xq8WZ3/LQs1xHYj8920YI9qqnNBfu4yh/oF7vXYYfstmrXnqbabHWNBO7rVL/c3HLGwtBOWOcWt5jOAS5zWjkzvatqluyxfZWxbY97DtaCH4DGOufzROC4IPtYDIf6v19xY8NeGXP6VvkenSWKsx9/csxN92ip8/n2fkHE8Z+myejp7T/2ohx29LPfu9ucT5zSjy72VbFwbErGZn6E2w7Vl85NBWftpByzdwenOJ29JoIVj59a7DHvOf8KSKJRHf+/aWM7p7c9nbtiN8wdE+cqg/bW2IcNvUvJk2ggvzn/TcdmmczBX5U8+7px22ny1dd6ssWQtHPUR+PUy64p0ouSJ/uCvbO7o7LL13B7UrhaCoyj8WIELxfksYDp0pOeNru979LYQahytXAMntJMK6bfHyFciWnVopZ3GP38OvaSu/2evTymyE4FBbJj17egW9RgBW3C9bcJE5tat0rYx7DJC1fGrjjXbmSsql/uaPLNQs4iDy35f0NbVVXyB/+sL4WdI+dK/3SbVnt+/BZUaRv9QOfn8v24rZwy38uIWUQHlk/zyjyF9r25ox13cg+7Me+uwt/tQevsho244Ws0vsLJ46Pm9r0VXphTsHl9LXhqXUW1ypco3mMqPIn2K29XuubcM33sONXOKl6zMWtt6szSnjGWx7Fh85tJfrETU6iKczmsuMIn/OM7F2T+78J+6TY63IF2Vv8gLOHn5+rq1zfeRQb9vylUItsdSn2oML85+8lpEr8ue2i1D/LX2Dp6hd9BD5tSLxYQu1In8IxXeGhbtRalbAtjpm30mzJvKHr+Eona0H0w2Vs8MmLlOOyB+++pHiEHLcWnTwBlLasHwSod1erVcPh1RlCPloApP6mGRrua85/h4T69z6qy3mnPut9PS8/ZgFiUb+HYxvu2T02/Zff15LnaCijjBRMZ9I5dZ/6b5v2B9rBTFPb7Sjnls/Zys71UwsEfnvS7pnW8214dp96kf0Yd4e5zn7OF6743sPLjfJye1hW38NWju/U2/7bLXFPWw7Wgiedcx1u+htOx3d6N8gQuT/xxY7WvDM7adLvoGkNHX/Iy08zII+FqdNVP5GtH5v2TGq+KO53CSRv8S24c4/jad6c9vfsvW2pDnQL1hIHbO41vbOYNuz+MhuI5/j1hzrENp5NJebJPKXzn/CjayyiTaO/roFnQCh4w7DIzVzx4Uz2XYPXzCXa66PnKu35Yq+S+Xbgwvzn7yWkSvy+4kqSjVHO9Z9pSfBFLWLXJFfgrCO0ImvZ18cjSXBPISyJlDHH931nWHhg5E6fibPRLfu2trJ719SvitIMCWEu+O1xXGtfDkifw5DTz/3LQVPs1Q0VT5hmUu4x/eWrmhu5RWWaeuti5byzhDXBbVUm82ti9qJnu/Sbzd4+yrddeLHUvlijdqzJqe5H8CO6+XOcY/+wx3kXHZL99UKnZ6W7wjpUR+lqQnmqyxocbZ08UG2kcBX2ja8Lr1Ffh9YS9tcrj1HO0I+CejVf/nxAamdn3H9XXSQXVPnxOaw810sNYvgSr/nM7xWXmybY8nbbtNO0lda0KRUl/qhOy3UCkp72Ha0yD/zmCvfWws14caIXiK/b5Tp1Z8ttdDRtu2xezYs99obz6mnT/7t8y1oE0TNpT79eRZeF0TOes17JTOf8/TyM+Ns9hD5Z7RtKB6ImeZvOi5P1+MtvNSCL+bUvFmudGa37Zl8ZH8uehzVo7RG+8ijRf7ZbRsL/bKJ5oQ/b6Fmo1TYb85u2xnnP6HutCXStoj8e/jIzH/yvKpckT/UinJF/lJtqKhd5Ir8KQw5Ir9eCfbrUfaPn7bgE0YJe/p/F5tCUKUAtsoaLx7I2dMV7iL284vfaX9P7VTz9PYQ+VMcwk4ndUa9+NZMwNQZ35lqDBm/S0RKsc1I5pu35K6qlqQ5071ygPQM6ao5Iieua9iWSoXTWgHYRX4NmMpTz6F2GMrJ1f9r8a20zfTamaR0Wq/ao208317OvtLTIPGbFtT/lvYDtYs4Ib/eIv/oHbWjHSFv+7VieMjWv5WgCX+pENMqKIXl8HaSGrdSz1WvZ3gtH2y7bQGNLS+yoP/eYSHcFayYtYKS4o627UgheOYxV8+mjtPTh7PDBd5eIr8vFsrGPfyRpRY60rZ+NEqLGO5lFou3WNAxOaUL9D0XXf1oJn9+a8eaol1kqc594ffRIv+MtvVzux3XkngQ27fmLcvZbXsmH9lt3WtBarSPPFrkP4Ntl4R+zXffaKFF6J/dtjPOf8JTJDSuP27Fhv786nmu2dw62kdm/pPnpJSK/KmTV8L0aubI2e0iV+Rfa5wuKLzMOG0d17OEUQ+GhEkd9aMPPYadXLhroYej7fmHYrDAfsqCjibwxYbSvPYU+VNlC9+KyBH5U+nlNf3ruMsnQ5rAtL6OfB01yi+FP4N6ZlrOSFaOvrv7I/Zv7VIUz5JXiWoF4HASo/y0w7DHcSFKV0f+SJxSHxX3M/mUj7vTRTa9ml1ii7USq738u0vf57v7SiaEtYs4YXl6i/xK2/s/McpZoA3LI8Zbx5C96TJGKO3f32gKpceQ+WKLFrF67J6Xs/9AC0pPolLJK949BSUhUjvR4nnrsS6tzzC2vdWvf7ZTG1Mf78+D7Lw1wUn1mq229e+1rOXjH5FdexPV45W+jTDzmOttIeWz10xIQzvINu+7/KHmOIIjbCs2z7DwNgvyj59joUV8UR3E+b9b8G+MlSyK9Vx0lSnCc91r3uR1+0qskn/4cQtKp/RNQPUha5c2gIm//PhwY1h8f+nxhzPbNhQEtsb0cA5Ya98ZbXtGH1ntvddRPf7stPjIfgzY2nPrpzqo33z1xvMdfm9t47Zv/nQW27qv7+OJH0OrivYYa2a07ezzn/AItaW5ebioU6tLtfrIzH/6zH9qRP6tDS6hL1Yj8me3i1aRXx2UOpcvWqg9k3+pow/F+NSKSM5A4feE6boQHu+AKBHS9hT5UxyW6rbGRiLbmUR+1bP1oSlpR9dwbziAlO7GXiu/OjKfPPnuALW73N14mvjpKj3GJf6oWOtiRVy/GY908iNX5Ay2Ho0R8tCxAeqrw4Wx3AmhvzJb+nZHbI8RIr/yCAdi9W+5bwztfQyZynm3BXEsKedWvyPb/CsL90Qccndsqj/R5Kz2WIi4jf2a/SHeKdzSb9Y+w9j21rncvWzrNvTdV/r/3Da2Zv9a24Y+T23bSvlVYbpnGHP9GC7VJb567eQP0w1tVPJm0d629aOXVPaScm61OzH+kAUJO16fEr9buwBfYaHH0WleTt9ZWDOxDOuq8Ubfc/C3Lu+0f+culu19/OHsts3d9Rf7P6XH9bl9Z7HtmX1k2aLn7nW3ba2PHMarHWsVL7UBMWyDem7PMP9xjUmLor5wrHmYfGR/s6pkXFjjP4ttzzL/caHVF2w0T3/HxTg6Ys8/dK8/lb7FF9u41kdm/tNn/lMq8st+o47rCdtGsl30EPkl0OmSuBBeIZSSiZTSCJ2yEpExNfisCeHxa1S5u21Gi/yqjzvEKYZh3bYal++aLlnMSHG9lt+93fSapF1LvbbKoefvzZcbeorjLugq6RyeLQJw+Ly3Tj5DVtmrnVds6PVjyV8AACAASURBVPBbIb2fWeee64DULuLEeEeI/C07WdT/37nRBvyYEnGSSLJ25S4qeHw5/3qbQun32MkflsvFnNwFwF6Cku8+yx1DU49e6zOMbW+12d5iYbgwmztxj23dals984/ZaEA++dJka21H9tfstyXB+4xjrgsLz7XK/f1CBX0XtY/5/h2u0jeUFL91J/8RtvXd3hJfQkEm1Ufl/B7OMXIWyUcszKmcPk62+Fmtu701V1m7ZIPwzeq1+0qPP5zZtuHRECm75c4X17jOaNsz+siyT6+jetzWLT6y+6pr7caPPJZOob5z7dJcNdaKtvrP2W0bbqaKdZl4g2nOPHuN1Yy2Pcv8R77wEyy4L6qxSd9L+RYLH7gYrHbu3uojM//pM//JFflzddhQnK+ZP2W3ix4i/1qn0yLyhxNIpd9LMNja7R4vLMjRTJ0B7nFGnckfDvS5In/qtSC3S+7u3dC+qVd/tgbr8LeaSWMqbTX6ey1od1HpTvJU2tf+e+/zgb2+JSKw7n2IhVLBJGzj+nfrMQGhrfx5b91puvV6eW7bKH29PE53xK6ekoUcv7eHfXqL/D5g1vRpOfbzdlQzGOek3/NMSs+vRFTyib2e35bLJy0SEUsmclt59nqG1/LAtvUW9+e49rkYbduR57bPOObW7o4v7fNd2FDLyn0LsLQVjrRtz3Pbw3qVLLzq3jdYiN+QLuUU3+9jZe7ibxzf5w89dp4u1cXTT813ajnMaltv7ynuLSL/7LY9k4/stig5cnHrmRjtI3v6qUWo2ud2Vtv6R+jX7Bgu4KWe7TV2s9v2LPOf2D65gi/zn7Je4Yi5ba7IH+rIuTv5a/Tt7LnTtYr8Mrk7xPp3r4FjS+RXPuEr6OqU9brj1pmc3rnWiIjhSs5WY8htNO7cpZwCb6w1DWvvV39KHn3ZTlePs9xL8u1xr+/Grzm71vP3dlIruGxNuPTbVht3AbjmOSjZpVTC2suUeh5y0tz79fKlMnl9ek9+c48RUPtSGWpfAQ/r1Fvk97Gi5NsCOXb3e0YLwe609BrnVO6S45jET6+Zvr4ESnTvCIG/5zO8VjVsW2/0FqF1D9u2lC+Hymxjbmp3fLiLOnz7ofQNJe/Panev5bAfbVsfU0oXOLbK7v5z6u1kX3QdsUDiYlntrlFv8zXzhxy7jhb5VYYZbetz05T/l7sYsGSL2W17Jh/ZbdFr48poH3m0yD+rbd2/3PLt/Wz31LO91n/ObtszzH9i24SicO2C+h4+MvOfHK/kvkcBb2ls4QLE1n3OPbUpe0sLytK2rlnkD2GpoqXOth6yeMd4SuT33Vl+TlpKdPEHucZhzhX5w85iLZ9QKE2JvJ5vzivDcQNLvfqT97jkn5Wdm54cIn3gce0L57np7H2fbPtDFu66ZNwycRq1mu+Ti61noUUA9p0OQtBS/7VBtnZ3RJje1uvluW2m9PXypXR9Alfz5tBaOcO3ptb62JZFnK16pPrXXLYjuMT219Efqb41t7wj22qYtgs6W5OHHoKSj5tbO/j9w2255zarHqN3FiqP0U7uqDrsZdu1Nt06ARnFJSzvaCF41jF3zaahr1nqb4dpjuKyp22zd0oVdPp+VKaibI0lPRZd14qltPXGVs6byktpjOAS5rOHyD+iDqNtG/rJa3O38M3MmgW2EVz2tu0IX/AIH/mrBk46RM08fa+5w1Kf38un36sOo22bI/KHi781b9OOaPN72naUL3iUj+ynSvj3amp1qVFcmNsWOG2XW3N38oeb67YWd7x/r+kvi9rFNYv8YltzhI7iySF6sYX4jPJQ5F9zguKjglIr6TKWjPnywnaTK/Ir2dRuW+/MdGZ0qkPRqrEc/B4fWCys8pDbXaTq+ZHHIQVdSFSLM38R2LdF5B41sU69GtUqAIcrmjUOzpqtijrCvQzemM8oZ853gqwNSi2LOFvOes0At5fzfwZHKOc4plZBSU6NnuH3WNh6E0Bt6CMWSj4iucczPKvIv4dtt7orH29qx6w9bDuryD96zE2Nmfodkf/WRx9r3k7cem58TrP2HZyWRVc/TnPtOExvV6k5zVb5zyAEj6rDSNuGiwg5c9cacXgUF29PeyzgnMFHdg0i91tZOdOKUVw879E7+ZXPqDqMnP/44tyWLV2/qd3xPYrLXrYd5Qse5SP7mxmyect3EkdxYW6b02Pe955ckV+xUm9s5iwsbpWwqF2sifzhw6HMahzdWCyvPUohFvpfZuV5r4WlY3RU+VdYkIC99HCFIv+WwOSdroPeqr/vIi8VzUtE/vANg3jyFa4c5dhJA0KLk1/+eIyL4W8w1LxJMa5U5Sl7u6wVTMKOZYRtfdVxaXLhRwDUHOMSTlxqHZw12kUdYbnJDokxypkLd4nF/bTbKKdvyYXS+7ieUVy8PrMKwSq/O5xLr/ZpjP4tC7XHQrjAL0HhtRvGf4r9dkdFPns8w9j2/oZz301vgMjfis8Fd7GwZreo57aHbWcV+cVo1Ji71Uezk/8f6YwSPMO3bpf8Pb05mVowXbJhmK6e2/hD7n6cmr5Z9fMWto4h3Wojo7jE/ULt0RU5PsioOoyyrdcpnDMuifher9o5wCgue9p2lC+4p4/smkfL+Bo/B6O4xG2z18adped4VB1G2jbUZ5Z0inDXd+3C+igue9l2pC84cv4Tt1H/GKo2B2i+9dMWtImz9hrJxcvE/CfPOiUiv1L0EzCW3thsHaeL2sWSyK+G+ioLLwjqriMvnlPgGCqNt1h4VpCGBqw3FqQRolel3mRBO9D9Upl0BIau2y3oLHY5PhILl/IJjaQ4ciK3dn+HCwK697kW7gkLdfm3p1sigkm0l7Ot8urKccrcSdf9Xm6lo0FVXHIEYp+c1+zyWKj6oX/ywbPmLYpDC76Q+bWL/Gsrk26Dp1udSo7hcAThQmBO+y2xW1FHWJLwgfeOcua2zm+X7SXS1iziLKEKJ6ra6aBjtlIfOE8hH8XF853ZEQrHvXiMUr1qj5FygT8ck7fsVDNh3eMZxrb3t1q4k1y/6jnVNxt0PdqC/IdfsbDkD6WeVf99D9vOLPKPGnO37IPI/490Rgqea2/miv/7LdQsuoZjuNfC50i32x80n+tx3NxILir3Hru9R9ZhhG3DZzY8gsL97nDOnjOXXOsDRnLZy7ajfME9fWRf4C3RFFLj7igunu/MO/lH21bazfsufpP6YN+kKv1GCzraALOmL6Xsqt9nt+1IX3DU/Ce2i39XUb5xi9YZpjuSi+fD/Cf9hMV6tjTX1EaJcH7si3vhOF0zH66aO8Uif+rDXF+zXDQB3Lp6pLGWvjrFp1r4dguPudwkgegLFj5t4V4L8Q4VdbCvS5R56cNivioXR126Vw+KyqHfti6V/3lB2cN7FV+rfvGuufAelekZFiTyP8iC7PFhCx+65J/I/n8fq/BJC6VHC6XSPeJ3rZTJ1r3ER6+D2m/IRx3toyyoHb3LwpctvOhyc8reuVyuXeRfe+1Njt0zLdR+7Fg7KH7sAqm3HfcYIHPt2+u+kc7c0qvm7vy2OKBed40bP3rpt2IeEpolSNTuehjJRWWd2RFS+T9nwRfAvc/y56P2DTtf/Mlt2xIfSu27xzOMbZctGD+v7me1PKdhTnvYdmaRf9SYu/W8hr5y6cd2w3RHHR0Y5jHatiMFz3ARLdxw0+qf+/zAfSrxkr//RQtrbz/n9t9+30guymN2kX+UbUM7qW/QPFCbL3RpHvipi41bNkycwbYjfcHRPrJs6X1wjtZS8uyO5KJyzCzyq/x72FZ9w5Ms6PnV5ZpPa988u21H+4Ij5j8+Vj3e/vH8iz21EUa2bOmDw2d6NBflxfxnuxddm+f6mPtOi771VmT8zLdqHd7uPmr/yPreZM8POJYMOGe714/Tqd3RvAeP1qMZ9ihjbh4akCUsSxiufe14KS8xeoKFWOT3t0i0s8L/7V/FVln0elbutbRj/dpFftUtdoJcAI5fC8/lMPq+PQbI0XWI0x/pzC2JShrg5MCUHkV2Ji6qiwZqLSx/zELNGyspHqPb6pLwkLswnSr7yN9Hc8G2I623nfYetlX/pavnxCus1Wgxe7Yx19mM5qJ8Rtt2tOAZCw/+PFz7W7ajubiALRtvfeOlpecaXQdsu2ydPWyLj7zMfiQX5aj+S4KnFhRLvrtU8hyPrAPzn3VLjLbtaF9w1PxHPojmhNr42UvYD60wmgvzn5Le53ruLWoXiPz9DKeO5D9a6C089yhh67EqPcrQKw3t/v41C70/tOuMltLVWwMPtiBhX+esPcDCwy7OjHZe6P9zr6UBYQaRPzxvVIsdvoJ9rQJwUUeYa7yD7xvp5Kpqfn6hH8/2WfvbtS7ihKYYzWW02fdoq/4KuHbUyzHVToBrF5T24IJtRxNYTv8Mth0tZs825rqlR3PZo8WOFoL9HGj5lDqe57ct5LwNvEfdt/IYzWWP+o2uA7bdw4rLeYz2BfGRse1xBI5p86Pru4cvyPxntBWP8/NntG2LNYqeF0T+FtT3j6vJze0XYaxvym2pyam928KoFfa20uXH9sbd+/x2/7aBhPxYtA4/Dtty3mXOxKmlXntMrH1yJBFY5wheswBc1BHmN8FD7xw9gXFmqqR/6+NaF3FCQ4zmMtroe7TV8Izvj1uFZhCU9uCCbUcTOM75H10zxtxlwntwGW3b0UJweA60xlp9v+zaF13FfDSX0Xbdow7Ydg8rLucx2hfER8a2xxE4ps2Pru8efj7zn9FWPM7Pn9G2LdYoel4Q+VtQL8f1M5h6ndfeWkK98v0RC7ML/H4k0mutLr1e45Uzrm8kvNSCBP6lj2H4x2H18cHHWeh5PJDbtsdOfn8lTR8iHtX2wtfexOOaBWDfTTWSR+uzWRrfXwMfKQZ4HiqbfzCmtJx73u+7Xa+9PW4x8VeFR9YhfB1ZZRnZhnrZ/wzPMLZdbg1nsC1j7rJtfbfrDOPHWl/lRyWNrIPnoTLM4qf4rrkZxg9sWzYSn8G2+Mj3t/kZfGTVCtue07b4yOf1kbFt2Ricc3fR3AmRPwdp+T1aafnMIEG4pDR6wHSUTOkHD0vy2ONe/1K1RDBNrFsu2UZH7egDOEpL4r5fSxMXn4it7eJ3gT63TKPO5A+/5t3yRkCqHu5ojZz8psqQ+l1OrT5Irav3sU6pvEf+7qKSH6czYsHJ8xgpOPditPQF+15p752O9zNLC429yuJ5zCAonekZxrb3bcFnsS1j7v17Jh8/PmE/XePRlbl9adhGv9cijThzN1x4nUE0n2n82LIztr0/nbPYFh/5vrY9k4+Mbc9rW3zkc/rIqhW2zfU60/cVz50Q+dNQueN4AuGOp1Gl0aRUH/ONL4naD7GwNtG7ljP5VW45dK+y8AILEvLeZaH3R2Gu9WOsmjA/1MIPXeqvI0m0MDP7AlfcHvVmyZsvf3yF/fdLFnp+DPbaP6is8j3SwqMsvPjC4YX233tGdQw7pqtnS28Vqe3Kxn/Tuf1e+8cdz/wMY9tz9s83ecz1rlE+0D+38G8C3+OX7d8jFqF37I5vU71eZ0FHE+oNUn3LpPfmnWv/ALpvirkz4NDrTdo9bRnnhW1vfSxVG57OZlt85PP6yNj2vLbFRz6nj6yx96bbtsXXaZoXI/K3oCfuHgTcGR+d192WQXykkb/mqJ3T2pU26tKHfbWI0GsHvjoFTUy/3cIXF+o1qh5HpqsJiz4GrPr6meNHlmd03l5f5fNeCyN2Go6uQ036atvPsPB1C39q4WyLOBINdSzYd13gnEFQybXz2Z9hbHve/vkmjrn+XGuHpXyNT1u418Ls4n7cX8kP/D4LD7Qgob/nonpu33jUfZqc6zprvbHteW2Lj3xOH1n9EbY9p23xkc/rI99k27b4b03zYkT+FvTEPTsBP/vqZ62ibx9QWU0wfsLCXZe09TbBr5x0ojwAH0lCAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACiPy0AQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIDApAQQ+Sc1HMWGAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCDy0wYgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAApMSQOSf1HAUGwIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCAyE8bgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhMSgCRf1LDUWwIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAACI/bQACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgMCkBRP5JDUexIQABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAKI/LQBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgMCkBBD5JzUcxYYABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIIPLTBiAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACkxJA5J/UcBQbAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIIDITxuAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCExKAJF/UsNRbAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAAIj9tAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAwKQFE/kkNR7EhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoj8tAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAwKQEEPknNRzFhgAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQgg8tMGIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAKTEkDkn9RwFBsCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQggMhPG4AABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEITEoAkX9Sw1FsCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAiP20AAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIDApAUT+SQ1HsSEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACiPy0AQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIDApAQQ+Sc1HMWGAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCDy0wYgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAApMSQOSf1HAUGwIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCAyE8bgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhMSgCRf1LDUWwIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAACI/bQACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgMCkBRP5JDUexIQABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAKI/LQBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgMCkBBD5JzUcxYYABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIIPLTBiAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACkxJA5J/UcBQbAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIIDITxuAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCExKAJF/UsNRbAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAAIj9tAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAwKQFE/kkNR7EhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoj8tAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAwKQEEPknNRzFhgAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQgg8tMGIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAKTEkDkn9RwFBsCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQggMhPG4AABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEITEoAkX9Sw1FsCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAiP20AAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIDApAUT+SQ1HsSEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACiPy0AQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIDApAQQ+Sc1HMWGAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCDy0wYgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAApMSQOSf1HAUGwIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCAyE8bgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhMSgCRf1LDUWwIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAACI/bQACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgMCkBRP5JDUexIQABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAKI/LQBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgMCkBBD5JzUcxYYABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIIPLTBiAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACkxJA5J/UcBQbAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIIDITxuAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCExKAJF/UsNR7G8S+Fb71yMv//cZ++/fTsjmO6zMD72U+487lj9Mt4RNyDQuzrfYH55g4eUb5azNV0m2xO2I7mqTGtVW4gp/9+UPf1FBoiRui71b4lZUa7oossMDLHzDQo0dlyocMo9/f5T94esWfiezb/iy3ffXmffmwC/pO7/fEkzln5PnWe7p1Va22scSqxybaTx6YKKtxGm3+AUtcc/SHrbqoWdHV+/nx9ug0i7xV8Kyqv2pD9ryA8N8UvbK7Ttz8k3ldcbfR7UVTzfXPmtjWaqtxPFa8m2Je8a2EdbpDH3uyDq0jM/e7sQ7Z7wN7dKSr6ejNHr5n2d5DvaYx5Vwb53zx3YpmQP2jHuW9kE9INCFACJ/F4wkcgABOS6vsKDB6T0WJAK8wMJbLbzTwpZ4dEBxF7P8Sfvrqy18wsKnLNxuQX97mYX3WqhdsPhhi/tmC98Z5fqH9v8/l8Hml+ye121AeqL9tuQsyiZvsvD5oD6yye9auCuRb0vca7HnyHKMaitLZVb7+cDFbsq35MqN29JGW+KW1GXGe9UfPs/CSy2oL5SI8RQLD7fwQgv3NFbqDyz+01bS+Dv7+yMsxP3WUpnUXz/rks6d9t+l/uQ37O/qP3Iu9aGPzbnR7nmNBfVHP2vh7ZlxznjbiLbS02Zh+TQm5tiqxS9oiXvG9hHWSaLEiyxoPHjt5Yfn238/Z+ElFmpFnKV0b7/k83H7b46/ouJ4OuovvidRHpU59o3W7Per9kNqQ4O45OR79jbi9RvVVtQf/KIFjRvvCNqg/vmGzP6htK3ofuX7qouNQxtqvEv1S73KfNa2c4Y+d1QdWsbnuExqP4++PDvq095oYW1+2ZJv2E69DHfYHx9y1gZcWK895nFhHrnzt9o5/1L1c+eAveMWmoLbIXB+Aoj857fxGWuogevdFiRaPydwVrR6/OcW5Hx/r4VrFvpdDIknkT9j5X7bQt1y7egC1tr9KTZy8D5r4cErCYj5Dy785uWOhTO3iaL8iIUlkbElbi6Xme8b1VaWmIT21+JMrpOotHLjtrTRlrgzt4Gcsou/RHj1ffGzpt31EkdSotVWPpq0fXTjBol9r49+9zKpP/lxC6EYuFVe/faVnEpf7lnKeyl6WIebLPKPaCs9baZJpxaqfBzKsVWLX9ASt6CZTnmrxvAPW/hq9AzL3vdakGC+NrZvVdjTlZgf+nGK47/p31u+3JIAuyXyuwCRa4i1DQ2l+ebmN/t9o9qKFg7kj6g/eJyFUKD0sS2eD8Qsa2ymfLWAvOYPK4+1MbVHmWdvD1vlP0OfO6oOLeOzl2mpXa6V1+3Ukq+noT5Am8R8M4jmnIj8t902eh4Xb37Knb/VzvmXnu3cOWDvuGfuJ6kbBKoJIPJXoyPiQQRC0XhpMucr0iU7O/euiova2vEeT1hUFt8tWyrIuYClHby/bkGLHBp0n2pBbwz47rUtNuKnHXpL5Vrj5BPntZ28bpOl31vi7m23I/Ib1VbW6hLu1M51Ej2tnLgtbbQl7hG22ztPFzuW7BY63zWCnPdLX7N/lCz8rE1snI335+oL9baBX94P3Wl/2HrF/M/sd4mA6ttSi7rxZCZHON7bhnvlN6Kt9LCZhDG9ifKXFp5kwd/kSNmqxS9oibuXvY7KJxTyl2wQLpp9mxWy5O1D31GfWvyXP6Md/fEl3+G7LHzawisv/YDu2RL5NUbp2npDwBer4j7J86/J9yj77ZnvyLbi/fzaQrJvTFlb7K21mdqLxiW9NezH0Km/kF8WvmW21IZby7yn7fbO6wx97sg61I7PGj/Vb21t5vK0fypo027/2nw9vp4LvaWpPvm3LGhxDJH/Vn+hzXu95/zOXZufvnj5H+WjK3f+VjPnX+svcuaAI+Lu3X+RHwSmIIDIP4WZKGRAwAeRNaHanRxFSQkDuWD/4XJj6jXwnPRCoWlNxPfdFkqvJE9NKhSWJsSxwLWWrnbraVK99Yp6XE+frK85FaFN4jq3xM3hvfc9s7SVJS7u7PkEIddJVFq5cVvaaEvcvdtBKj8Xx3pNgEKxbU00c8F9baKxVWaf0JYuEKg/0URvqy9eembUL8Q7/+Pyeb+Su6CrsUOLFH5MUK/xIWXr1t9naSu9bVbyER9WrAAAIABJREFU1kWLX9ASt9W2veP7gnpJ371VhnCBfm1HfWoMX0o/JZApTkm7D48bWPNt1F980EJqA8PWTti4Ljn59rZxr/RmaSs5/nB4TFhqsSnXZloYkFD5ZAtLx1GF6cTPW+8y97J5bTreR/YaM4/oc2epQ4sv52Lyll+59ty35LvUrpx3Lx+3tu3WxJt5Hudlz/UBaub8S0xz54C949bYlzgQuBEEEPlvhJlPU8lwYri1y90nnbniTwpQzwHfnTDluSaYbYnia2UVm/clJrDhUSdLzrpPTPTbn65MbOL8Q5tsTQDcJuFu/pa4KZsd9fsMbWWJjdtCxxNo15petc11EnPjtrTRlrhHtYWtfEsErJzy+w6srR1cofBQKta7iKL2UfLBTX8etvprv8d342tBUkJc6vsB3pfmHNWje19s4QcsaJFDVy/BIsc+LffM0FZG2CxX5G/xC1ritth0VNzewq0v0m35UiUCq9c7R1Dye9Z21IcMc4Rb/9hh6uOT3peuHdVTmu8oW7emO0tbCce2tWM/wrEtNR7ktBWxVb46pmrtWyDh8WSxkNm7zK22bo3fUyA/qs+dpQ4tvlzYttcWu/ye+A2plnyX2hci/y0qo+b8a890ichfM+dfyjd3Dtg7bmu/RnwInJoAIv+pzXu6yoUi9dKrhl5hd1b0/znHOKRA9RRu/RXeVNl8cp0zwVVa2nX0LzYmJLonJZq4EO88NHERS01y1j6sFzowW6JZ+Bqf77RriZuy2VG/z9BWYjb+mr0+Zqcz1d1WOSJ/SdyWNtoS96i2sJVvT+E2FBu2+otwcr12BMZSmcNFR/9d+ai96APhW8fkpPo7P66rZkHW006JceEERAKfP6M3UeQf3VZSz1quzXLGK8+rxS9oiZuq6xG/9xRuw/Prt/qLcBzf8stCHmE71LP/gxbio37cNjnHFuYKtymbeLnCzQhbcXrlmyrXiN9naSvuC2/tCA5925TfkmszLV75sZdr/NeEzN5lHmH/kjR7CuRH9bkz1KF1fM7ps30MDjd6tOa71JYQ+W9RSfnAzq50zr/2/JaI/DVz/jjfkjlgz7gl/Rf3QuBGEkDkv5Fmn7bSS0LxUmVCJz530rkFpadw62mlXmEM69pjoSIWTWJhLNwJtcRCk/xfXpiIh6y3RLNwt5/f1xL3WhvxjG1FtpGQK6FFV4nI3xJ3yYbhZD0l3sbxW+Lu3Z56ivwlAoe3z9zFQ3EJn90lTlvPfdivxG8ZhB95K7W1Lzyk6uF5vMcK7h8Fvski/+i2svUc5drM00gtSvt9LX5BS9y9+4yc/HoKt7njc2inksXDsF+JP5qqhTn/2K/evkl9byNXuE0x9P4qtx698k2Va8Tvs7SVHJ85XIhO+dY9beb9h9qv+0+yVe8yj7B/SZo9BfKj+twZ6tBjfA6F23iB1Pu3uL32yDduT4j8t4jk9AXhvEv/bpnz54r8tXP+2M4tc8CWuCX9F/dC4EYSQOS/kWbvUmmJJ4/skFLJ0Q++0q1st86qD534nF1gqWr0Em7DnbSpiUjoCJcerbFWHx/U187k9tfZH2UJ6BxSP7va04sn4vp7LuslwaAlbspmR/0+W1vRzp83WwjPP88V+Vvi1rbRLbum2vdRbWIp354if7iTNrWL0dunypQ6uzgst/quB1h4vIVnWtD53OG11c/GiwR+HNhvWgLavavjFdbeFFqzmdc51b9r1+BjLDznkpfSu8ki/x5tpdVmHj9X5G/xC1riXlN/4mXpKdyGb0RuLeSFdip5Iydc5FP55RM93cK3WNBZ6Mp/aWPBEvdewq3XOdfn6pXvEW1plraSO2blimk9beaCavx89C7zEe0jzLOnQH5UnztDHXqMz75Aqm8h6VKfrLncMyy8zsJSX94j37iNIvLfdtsRc/5ckV/2qpnzh3ZumQO2xD26PyR/CExBAJF/CjNdZSHDiV1LAUuOTAgd51yRPyV65ZS9l3AbMisR+UsYbdXHxbbUmaWehhwAiWih2B/HzZ3gL4n8LXFz7HbEPTO1FdlXEwB9qFnihl85In9L3J5tNEyrtH0f0T48z54if/hspfq73D40xUblf5OFUOzf2o2/9DZAbj+0VJacY1/WPpx4k0X+I9qK2y/HZqGtc0X+3Da9VPeWuKln5Ijfewq34UaDXJE/5dfETGKhX78rjedauKcAYA/htvSoHhWvR74F1ex66yxtJXfDy94if/hmUvy2Se8ydzV8RWI9BfKj+twZ6tBrfI6Ffplcm7vW3orqlW/YtBD573tEbmpszB1vU49vicgfp5Uz5/c4LXPAlrip+vM7BCBwIYDIT1OoJSAnQrsCWi/tIs6dzOU68SWvHuaUf4RwmxLjlkTxnLKu3aMJ7GctaBeNPmoZn3+7lXZ85MYjovg5O3NCkS8UDFritvAYFXemtiKnUscgSOQPrxyRvyXuiDba0r5HtYWtdEeJ/KkFwdxX5XOZhM91/Ap4nMaS0F9znFrOsS/eHuIFLJUJkf+WZfZsKzk2i9tLqcifmkQv+QVH+RS5z1fpfaOE261NFeEzlbLBUn3WhH69TZj7hk8Psb30qB7VpUe+pTbudf8sbSVnl/ERx/U4v9qd0SVl7mXz2nRGCOSpvqL3PG6GOpTM+1K+3JLQLx9NPlF8/FnPfL2NIfLfV+Tfa87fIvK77VJzft3XMgdsiVvbhxEPAjeOACL/jTP51BUOJ+Sx0BxWLPz4UGpgVTw/imINzkcvP0iQ+tIGQX3UcesKndaUIBZ+nColxuQY1Z240rOvPe2wPHEa4SRs6Uif2NkMX4VviZtT7973nKWtqD0838LSgk9K5G+Ju2WPljbaErd3G/H09LyvXToS620W/IiKtfu+YT+khK5wgpbaHR9+BCwl3OVy8TS3Plbpu+r1xoh2k+nMUb9SR+7E5cg5qkdt+GsWNFmJr2sU+c/eVnJsFtupRuQv9QtG+RS5z07pfaljEp9tCb7AgsbhV28knnNMYigibfkN4UcbU8LdUpG8/1I/oLL7MRO6d89jc0qP6lH5rlnkP0tb8Q87+pix1CbCBeTUkVE9bOaLyB+3NhCexe/tu3eZS/uJ0vv92I61eP7Wnp7R399I/DP2W2oD0ag+9wx16OXLqf29xYLetPzgpV91s8XfRor7sV4+5DWL/GeZxy09ij1EfqW7NedvmQO2xC3t17gfAjeaACL/jTb/dJUf9ZpnOJmthZIzuT3quB4/F7Bm16zzCHcdLS06hA6BWOjDdV+38BQLcjg1cfdJWvxRoZa4tfaqjXeGtuLtYU3k3RL5W+JuMW9poy1xa9tBTrywv8q5f+menEXKEa9al5Q33PWz1Kb8dxfz1R/8ooW7gkxSE8uwPKljXyQov9jC2htL1yjyn72tpGy21N5KRX6lUXqM3yifouT5Kbl3z2MSc48PKPFr4rq6OOvCrfwM/e1pwY05GxNahduao3pUxNZ8S2xfeu+Z2orG+PcFPqQWsf7IwgMtaGFIQqYfK5n6aHIPm2lBSH6sBP41UbtnmUttX3p/yKQ0bnh/zsaBUX3u2eqQ8v3WOPqbUZpz+be21BfcHTw/8YaMET7kNYv8Z5jHrT2nvUT+tTl/yxywJW5Lv0RcCNxIAoj8N9Ls01Y69XqiV6zk1UPF8Y8zroHxCad2CK059Gu7RuM0c48HyK1rypi+o0gO48tTNyd+d6Fm7c0CDeBiJWFf1yct/KWFD1n4yuVva7usWuI2Vqso+uxtxduDJsXvWqm579oKd4NqR7neYrnXQk3crd3oLW20JW6R4Stu1jO8dqncfp69OK9dEjJen8i75LX23P6npLrhTt54ku9lW/rYd7g4oPzixb+lMqSOffFJhPqov1qphL+ZFe5KzNnZXMKk9N4zt5WUzdZY5Yr8uWPlkl/QErfUxj3uTx2T+PDLcyQRR7uM166cYxJz/aiS/icsz9ZxMeHObPUdqtfW1Src1hzVo/K05tujTaylcaa2ojpqnHmqhSdZUJ8in/tTFt5r4XkWfNE49fZHq818EdkF1C0b9irzyHaitNX+79zI5A77TaKxnkV9bHjtWjoKJr53VJ97hjqU9KVrvtzasUTxsWjhYliPfNfsnLMBbnT7jtOffR63xauXyK884jn/Nc4f92475AeBaQgg8k9jqqsraOpV4NwCl4gr4cQvd8deyuHPKWevc9aVlxxkiVkpxyfcBSExMD5DMafc7tRJlG0V+JWfl6n0jYBcsWCpTi1xcxj1vufa20rt7j4tEv1nCy6QlnDb2pHU0kZb4paUf8S9Pc/kD3fc5O7+Sh1pUFpnb/exUO9HYKwdyRMe15Wzmz882mOpT6vdzdfjSLRSZrn3z95WUjZb45Ar8rf4BS1xc+23531bwnlpOcJFuNwP75YcveXf41nz0bzvULlTu/lbhVv3bUr9xdZ8S23S8/6Z2spWvf3oHBehU9+carGZngkdg5Uj8Pcsc0+716S1JhzXpHVUnztDHVp9Od/ksHQkj2wVHiMV7uZvzXepHVzzTv5Uu732edxW+XuK/PGc/9rmjyk78jsEbjQBRP4bbf6mytd29nGmJeJK7qSzh0AelrPngJ/r4HqetWLcCAHUV/Vzdtw6v3ACprpsvd4ct42WuE2NuyHytbeV1O4+Vd13bYW7QbWjXDvOUx/bXou7tBu9pY22xG0wb7eoPYVbFSpn8TDss0vEuFSlfSf/0o7bnKNxXOxLLVCE9VwT/VK7+ZSGv5kV7krM2dmc4jDq99nbirfNlFAb88sV+Vv8gpa4o+zdkm5P4TZX+AlF01yRPLTt2oYNF6zEI+Untgi3Xs/4CIscO7Tkm5P+yHtmaSspBqENcjag1Nqsl8Cv+pSWOcVg9O89BfKj+txZ6tDiy3m72tpEFm6sCPvelnyX2h8i/y0qe8353QY9Rf54zn9N88fRfR7pQ2B6Aoj805vwsArkdPY5hSsRV0LRd+vczRLRKKeMPYXbcHK7NiEpmdyulV+Dc2oHvz6GeU8OALvHJ8Kliw7hbryc8zrD4rTEzaxW99tmbCsxBHfOc0TXlrgtbbQlbnejVyTYW7gNRYO1Rbi1yV1F8e8TxSftSwsHOSJ/bnvzfjHn+I6tOuWUqZVJz/gzt5UWm+WK/C1+QUvcnjbulVZP4VZl8mdz65nzcXrpSK61euWI/Iqb+6zWCrfKw/vF1FnuS3VpybeXzWvTmaWtbNUv9JVz/ZUam8lX1lxlawe/yqJjDVNv3daUudbGveL1FMiP6nNnqUOLL5cj8q/1vS35LrUzRP5bVPaa87sNeon8tXP+XH9+q83k9uW9+jfSgcApCSDyn9Ksp65U6MQ8wmoan5EvZ/wDFwKlovIauJ7CrfLwQVA7o7WzPb78Q7RLk2Y5yM+woI/aanK9dGnngAbopbT9fglzOttUZ2jq0sTjARb+eCNNfeCsZDdmKCrm7vDz7HPjyoF6vAWdyxpPrlKstuKuYEj+eba2slShPZy0mjbqZa2Ne01tpbdwG06c14698V05Sw60+gv1Kx9b6ANUVokXa99V8DN6f2DhGXQBcEtA83KldmF6v1gjxoXtPEc4VP+ojzqqX4nHmC1WymcrbrIDWbhhprYSF7/FZrkiv/Js8Qta4qbsvXdb6S3chjZYGvvD73Es7bbf6nN9M8bacx+mnXp7sEa49baa2/8sPbsl+bb4I6m4Nf3KTG1lqX7h0SPypZ+z0Fe32kzx5Rt/2MLTF8ZGT9/fLNTHf7dE/twyp+zd4svUtJWeAnlrf11TfsW5tjqs+Qktvly4gLTWZ/ocOV64bcl3ySYlIn/LOJmKW9NeZp7H5Yr8I+b84XNWI9TnzD1b+r4Rc/6a9kUcCOxCAJF/F8xk0pnA1gdgfZDIOd85t1i9B3w5JdoRrzNE44WI0NFamlSHr/4t1dF/165aLQQsXbfbH0PBPhTU5fjFu5V8p24JUxd39Nrocy3kvjGg8ubGDY8TWHrVfotVKm5u24jvm6mtrNUxx9FqiVvTRj2/2rgpe+/dVnoLt+ITTt7ic4k9Pz3fS2K8v6qtdMJ+J3ybRk67Pm4Yihjipv5h7RkPRcKlSWe40zt1lrKXsXTBcO0ZXTsCJDxOYGkhdo2V8knFrelXZmkrS3VrsVmJyK+8W/yC2rgpe+/dVnoLt+F4vDRp9/yWnpNUn+tx147xc78kRywoEdvDdhoe1VPz7aOSfFvGmJTfV9OvzNRW4vpp3HifBY0pah8/byFejF1jUmIzF/g1br5nA/Lz7Tc961sba0rKfG1tpbdA3tpf17T3a6pDatxo8eW8nmubIdynW/J/WvKNbVIi8reMk1txa9qJ4sw8j8sR+UfM+Z31yPljyqdo6Tdr2wrxIHC1BBD5r9Y0FGyDgO+a0aTMd4Hpb6+yIPG653nTIwZ8pemTB/37yRa0S1YDmCYsqlfOx+jieoYDXKoBhcfuhGKKx5OD+AULT7HwcAsvtJAj1PsxTjr3WnX5tUvdUuVxJjrzPTduuGtl6UNToUAZs0rFzSnv0j29ncNRbWWrfiOdtNo2qvK2xE3Ze++2MkK4FSOfPEp001s6EuSV1/staOfs2nEDvqtWaYR9TyiI6Dc9Z+obtIDowoYW/9Z2+XuZZDtd4WKAynX3Jc2fTqTh9qs5Nztu66md/OEEaOl4sjVWyicVd+u5W/ttlrYSl7/FZhrP32JBO2N15Qh5LX5BbdyUvfduKyOEW/EPF1ffaP8vQdXrvraLOtXnKl1f0NdzFvYBSlu+g44cTAm48pt0nwRfXSWbEcI6bAm0S89mab4tY8xW3Jo+RXFmayteT5X7pZf/eZn99+0FAEps5j66NuPkXFuLz6Vlvra2MkIgr+1zc2yxdM811SE1bqj8tb6cuP62Bc2j5Kv9ugX5gfr7L1rQRo2tPrI235B5PKdMvQHeMk5uxa1tK7PO40J/fW1Dj5j0nPPHjEfOH1M+RUu/WdtWiAeBqyWAyH+1pqFgGQT8yBk57rr846BbglNGsve7ZcSAr0z8lVyJ/A+y8DULei34QxenbKmsvpghscsn27pPOzAkxOded9uN4XE/Yvg8C48JEhDPL0b3LaWvgff7LPyYhTssyLH8fQtrR/+EabTE9Xr/O/vHf7UQL0KssfL8xWwtbi7H+L4Z2kqqbhJe1A5k/6UP5m7F34rb0kZb4ubYe++2Mkq4VV399WUt0OnSBO8jFtSvrO121HMowUT9TyyaqKzPvqSr9NRPfcrC0tE+a20j7ut03yct/KWFtWPHwrTU199Z2SbjMmkSomvrezCaLN1+YRGPJ1uslO5W3DU+W3+fqa30sJn4edsN0/N2907749au3Ra/oCbuNbWVUcKt7KB2+EMW3EfQ8/snFrYW/3PG2Li/Ul4ae1L9y5LP4u1FfZ6e25QA7ONVybehavNtGWNScWv6lVnaiuqut7yeYEGbeD5u4b9ZWDpKbY1Djc00Lskvz7nUN4WLUa1lTtl767lKxc2pT3zPCIHc86jpc89Qhxw/ocaXczZxf+3j59LRpjHP2nxjXzFMd2u8aPGpUnFr2sps8zg9Qz+60l+t6SItc/4tpqPmj55nS9+X44/UtBfiQOAqCSDyX6VZKNSVEZAzpivHObqyou9SHDkYf2/hbyyULrC0xN2lcoWZ0FYKgd3Q230SpeqXLqTcUGQ3ttq0lRtr+uKK+5mzOYvzxYkT4VQEZmkr6v+eauGvLHzGQu6xPEcaa8Yyb/GSn/7tFlILb0cyT+V9hjqk6sjvfQgwj+vDkVQgAIEDCSDyHwifrCEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACLQQQ+VvoERcCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgcCABRP4D4ZM1BCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQKCFACJ/Cz3iQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQOJIDIfyB8soYABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEItBBA5G+hR1wIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAwIEEEPkPhE/WEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIEWAoj8LfSICwEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhA4kAAi/4HwyRoCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg0EIAkb+FHnEhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAgcSQOQ/ED5ZQwACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAARaCCDyt9AjLgQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEDgQAKI/AfCJ2sIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQAsBRP4WesSFAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCBxIAJH/QPhkDQEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhBoIYDI30KPuBCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBAwkg8h8In6whAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAi0EEPlb6BEXAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIHAgAUT+A+GTNQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECghQAifws94kIAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEDiSAyH8gfLKGAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCLQQQORvoUdcCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgMCBBBD5D4RP1hCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBFgKI/C30iAsBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQOJAAIv+B8MkaAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEINBCAJG/hR5xIQABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIHEkDkPxA+WUMAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEWggg8rfQIy4EIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhA4EACiPwHwidrCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEALAUT+FnrEhQAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQgcSACR/0D4ZA0BCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQaCGAyN9Cj7gQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgQMJIPIfCJ+sIQABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAItBBD5W+gRFwIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCBwIAFE/gPhkzUEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAoIUAIn8LPeJCAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABA4kgMh/IHyyhgAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQi0EEDkb6FHXAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIDAgQQQ+Q+ET9YQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgRYCiPwt9IgLAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEDiQACL/gfDJGgIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDQQgCRv4UecSEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACBxJA5D8QPllDAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABFoIIPK30CMuBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQOBAAoj8B8InawhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBACwFE/hZ6xIUABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIHEgAkf9A+GQNAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEGghgMjfQo+4EIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIEDCSDyHwifrCEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACLQQQ+VvoERcCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgcCABRP4D4ZM1BCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQKCFACJ/Cz3iQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQOJIDIfyB8soYABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEItBBA5G+hR1wIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAwIEEEPkPhE/WEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIEWAoj8LfSICwEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhA4kAAi/4HwyRoCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg0EIAkb+FHnEhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAgcSQOQ/ED5ZQwACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAARaCCDyt9AjLgQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEDgQAKI/AfCJ+suBL7DUnmohW9Y+IsuKd5K5FstPPKS3pftv3/dkPYPW9zvsvBoC5+38HsFZfX6/XFh/t9dkEdh0twOAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIXAsBRP5rsQTlKCXwSxbh+Ra+M4j4d/bvl1l4e2liwf0S1X/1ku577L8PtPACCxLnf8FCrtiudF5k4SctfNXCGyy818LfFpRNaXzicv9DMuN9v91950OGAAAJTklEQVT3Cgt3WMiNk5k0t0EAAhCAAAQgAAEIQAACEIAABCAAAQhAAALXRgCR/9osQnlyCPyG3STh/a0WvmDhdgsS0x98ifwS++/rcxKK7pFA/n4LH7yk5z9rV/+9FrSgoAWAlyfSVllURpVH97/RQom478n/gf3jaRa0eJES7LVz/3WX+xU/J04FIqJAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC10QAkf+arEFZcghoB/9TLEjID4/nkRAvUfx7LwL3I+y/JcK675qXMP9EC/GOfS0AfPRSwKXfvey+AKH//ykLv5NTqYV7VE+J9rpSgv3P2D164+DTFn7LguqQilNZLKJBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC10QAkf+arEFZUgRcyP9Bu3FJwNcO+ndfEvke+2/JGf0uzm+J45+zNLWbX0foPHahsKEwn7Pjf62+vqDwu3bDsyyUCPYlu/9TvPkdAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQuHICiPxXbiCKdx8COpLmARbWzsV3cVyiuHb0l3wsV+fmawe8hHUtFixd4S79eDd/uNN/bREgx5x+NNA7LjdrNz8ifw457oEABCAAAQhAAAIQgAAEIAABCEAAAhCAwA0kgMh/A41+4ir7Tv4toX6p+lo8+PPLD1txw536P2v3hx/49V3+SuZHLNxTyVnH+zzIgt5W8PwQ+SthEg0CEIAABCAAAQhAAAIQgAAEIAABCEAAAmcngMh/dgvfrPrpqJqHW/hxCyVH9YS78LdE/vA4oPC+H7b8PnBB/flLGfS/SlfXZyzkfB9A6b/awg9Y0FsIiPw3q/1SWwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIFBNA5C9GRoQLAR0r88gONL58EbRbk9JROhLHXSAvSS/3qJ21xQDtvtfZ+bok/uvonxdEBdARPr9gYe2oIf/w73PtHn8LAJG/xIrcCwEIQAACEIAABCAAAQhAAAIQgAAEIACBG0gAkf8GGr1TlUPBuyXJ+Nib0rS0i/6VFnQGvy7tpL/TwpqYvpb+PwQ/fJv9e2nn/ZrI7+f5exIvsX987PI/j7f/vtSCzvvXtXaUz5/Zbwo/F5QDkb+0NXA/BCAAAQhAAAIQgAAEIAABCEAAAhCAAARuGAFE/htm8I7V1Tn2+ihs6/VmS6Dm/HrtfH+RBf33Dgsuont5Ss/FD3fjry08LB3XozcavhJA+B77d3xUkFh9OChjvIggMf+ZFnQOf7i4gMjf2rqIDwEIQAACEIAABCAAAQhAAAIQgAAEIACBkxNA5D+5gW9Q9bTL/k0Wwh39j4tE8y0c4cd39aFbpaNz8f2SmK8z/z39X7V/v9xC7lE/r7F777okpp3+r7/82+MvLQ4g8t+gBkxVIQABCEAAAhCAAAQgAAEIQAACEIAABCBQQwCRv4Yaca6ZgI68cSH+ifbvkmN7tFNfZ/v7WwFvtX9/wcLtFvTbxy087VL5n7L/avd/7kd7w/v+0OJp174WDu618AYLb1+Aish/zS2NskEAAhCAAAQgAAEIQAACEIAABCAAAQhA4AoIIPJfgREoQlcCOqP/A5cUa8771/E/T7XwZAsPsqDd/Dp+570WfCd/uNM/fANAH93VYsDa5ef+K/5DLGiR4Dst6IO8S9ez7Y/6gK/uf3pww9bChcqohQjPoytcEoMABCAAAQhAAAIQgAAEIAABCEAAAhCAAASuiwAi/3XZY6bSaBf6IzsU+MuWRngsTockb3MxvUbkX8t/a8e+5+c79NfSiEX+8GO/ufVOifeI/LkkuQ8CEIAABCAAAQhAAAIQgAAEIAABCEAAAicggMh/AiMeVIVQ9G4pQk8h3svh4vnSOfe1ZQ3Fc+3yDz+u60cEpQT4eDFAaW5dD7cftdNflxYQdH3NwtbbAoj8tRYmHgQgAAEIQAACEIAABCAAAQhAAAIQgAAEJiSAyD+h0a6kyDqm5nUdyvJmS+OeDul4Ejpu5/MWPmHhsZ3S/RlL522XtJYWJcLfJcovvZng5VIy/tHeVPE4kz9FiN8hAAEIQAACEIAABCAAAQhAAAIQgAAEIHDDCSDy3/AGcMLquzD+I1a3pcUD7YJ/oAWdsf+3GfUPz9xfE+d1dNFXLmmt3RN+K2BtISAuzmiRXwsPz7DwMQtL5/xvsUrFzUDLLRCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEArAUT+VoLE35OAC+U6FudlFt4eZS5R+t0W1oR2/13RUufn6x7d/xsWHmzhJRZev1FZF+R1y5KI78fopNIJsxgt8n/uUlbl+UQLodCfYrUVd882QV4QgAAEIAABCEAAAhCAAAQgAAEIQAACELjRBBD5b7T5p6t8KDyr8DqW5x2XWjz6Ilj/iv137fif8FidreN8tDP/VRZeYEH3baUZQnyN/c9dFrQI8XQLEs3DtEoEfqVbKvLH30mIhfvY4F+1P2gBQ1f85kOK1Vbc6RoWBYYABCAAAQhAAAIQgAAEIAABCEAAAhCAwKwEEPlntdzNLbeE/h+18KALAp1//wUL2pkffgx3jZCE89st6C2A8H4dP3OHhSdZkLj/VgsfsfA7haj9GJunXOLpQ7mfsqDjgZbO6t9KXnW900LqY7sS959tQXnH1yftD39iYWnhQ0cR6Y2ID194xHHXWOm+VNxCbNwOAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEI1BBA5K+hRpwzEpBQ/jALX7KwdD79GetMnSAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIHJCSDyT25Aig8BCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAI3lwAi/821PTWHAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACByQkg8k9uQIoPAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACN5cAIv/NtT01hwAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgckJIPJPbkCKDwEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAjeXACL/zbU9NYcABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIHJCSDyT25Aig8BCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAI3lwAi/821PTWHAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACByQn8/5miid7gvW0TAAAAAElFTkSuQmCC" style="width: 764.5px; height: 119px;" width="764.5" height="119"></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: 284px 8px; transform-origin: 284px 8px; unicode-bidi: normal; ">Please present the function output rounded-off to nearest 3 decimal places Therefore, for <img src="data:image/png;base64,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" style="width: 44px; height: 18px;" width="44" 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: 66px 8px; transform-origin: 66px 8px; unicode-bidi: normal; ">, the function should return <img src="data:image/png;base64,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" style="width: 37px; height: 18px;" width="37" 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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; ">.</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: 37.5px 8px; transform-origin: 37.5px 8px; unicode-bidi: normal; ">---------------</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: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; ">NOTE:<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: 98px 8px; transform-origin: 98px 8px; unicode-bidi: normal; "> This is a follow-up problem to: <a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/53930-easy-sequences-65-fractional-part-of-square-roots">Problem 53930. Easy Sequences 65: Fractional Part of Square Roots</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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; ">.</div></div></div>

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Problem 58284. Easy Sequences 117: Fractional Part of Cube Roots

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Problem 58284. Easy Sequences 117: Fractional Part of Cube Roots

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