Problem 56200. Triangle Coordinates

Created by Ben Placek

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>Given a natural number </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t>, return two </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>\\frac{n(n+1)}{2}</w:t></w:r></w:customXml><w:r><w:t>-element vectors, </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>x</w:t></w:r><w:r><w:t> and </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>y</w:t></w:r><w:r><w:t>, containing the coordinates of a triangular arrangement of points, where:</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>there are </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> rows of points</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>the </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>k</w:t></w:r><w:r><w:t>th row contains </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>k</w:t></w:r><w:r><w:t> points</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>all points in the </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>k</w:t></w:r><w:r><w:t>th row have </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>y = k</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>the </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>x</w:t></w:r><w:r><w:t> coordinates in each row are equally spaced a distance of 1 and centered at 0</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>The points should be given in order, row 1 to row </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t>, with the </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>x</w:t></w:r><w:r><w:t> coordinate in each row given in ascending numerical order.</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:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"266\"/><w:attr w:name=\"width\" w:val=\"328\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[x = [0 -0.5 0.5 -1 0 1 -1.5 -0.5 0.5 1.5 -2 -1 0 1 2]\ny = [1 2 2 3 3 3 4 4 4 4 5 5 5 5 5]]]></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:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.png","relationshipId":"rId1"}]},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 611.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 305.8px; transform-origin: 407px 305.8px; vertical-align: baseline; "><div style="block-size: 56.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 28.25px; text-align: left; transform-origin: 384px 28.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 76.5px 8px; transform-origin: 76.5px 8px; unicode-bidi: normal; ">Given a natural number <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; ">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: 37.5px 8px; transform-origin: 37.5px 8px; unicode-bidi: normal; ">, return two <img src="data:image/png;base64,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" style="width: 54px; height: 35.5px;" width="54" height="35.5"><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: 56.5px 8px; transform-origin: 56.5px 8px; unicode-bidi: normal; ">-element vectors, <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: 3px 8px; transform-origin: 3px 8px; unicode-bidi: normal; ">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; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; "> and <span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.5px 8px; transform-origin: 3.5px 8px; unicode-bidi: normal; ">y<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: 135.5px 8px; transform-origin: 135.5px 8px; unicode-bidi: normal; ">, containing the coordinates of a triangular arrangement of points, where:</div><ul style="block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 40.8667px; transform-origin: 391px 40.8667px; margin-top: 10px; margin-bottom: 20px; "><li style="block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; ">there are n rows of points</li><li style="block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; ">the kth row contains k points</li><li style="block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; ">all points in the kth row have y = k</li><li style="block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; ">the x coordinates in each row are equally spaced a distance of 1 and centered at 0</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; 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: 155.5px 8px; transform-origin: 155.5px 8px; unicode-bidi: normal; ">The points should be given in order, row 1 to row <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; ">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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; ">, with 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; perspective-origin: 3px 8px; transform-origin: 3px 8px; unicode-bidi: normal; ">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; perspective-origin: 187.5px 8px; transform-origin: 187.5px 8px; unicode-bidi: normal; "> coordinate in each row given in ascending numerical order.</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: 41px 8px; transform-origin: 41px 8px; unicode-bidi: normal; ">For example:</div><div style="block-size: 271.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 135.75px; text-align: left; transform-origin: 384px 135.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 328px;height: 266px" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAo8AAAITCAIAAADpVmEUAAAACXBIWXMAABcSAAAXEgFnn9JSAAAAB3RJTUUH5gkeEg0S6Kpo+QAAACR0RVh0U29mdHdhcmUATUFUTEFCLCBUaGUgTWF0aFdvcmtzLCBJbmMuPFjdGAAAACJ0RVh0Q3JlYXRpb24gVGltZQAzMC1TZXAtMjAyMiAxNDoxMzoxN9PShq8AACAASURBVHic7d17QFRl/vjxh/AyXtIZNAWvg2MQWd6STLKEMnG3vJUllQmItmpb6/VrXlrgZ3a1zc3SshLM1tw2TcvW0IoxUVREFEuhGOZY6KTgDJLKiA7z++O0iMOlizDnQd6vv/DMMHzk8cx75szM0cftdgsAACCxa7QeAAAA/IorrXVwcHCdzPHbFRcXe/kn4ndhgWTG6kiOBZKchgvU8J5b869ZciyQzFgdybFAkqPWAACgRtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdpfV+rnnnguuYsaMGVoN9xsVFxd36NBhyZIlf+BS1Leafv+KokyaNCkoKEin03Xs2PHRRx+1WCyaTNjI1bRAJ06cmDJlSo8ePVq2bHnTTTe98sorLpdLkwkbud9yDzZ79mwfH5/du3d7bSqoalqdGTNm+FQRFRV1JT+rSeU/5ObmNmnSpH///pU39uzZ80p+QF1R7M7ErVbFXmq2FBv9jhsNuiEmQ0JkYHl5eWxsbGFhYbXfVfulqEPJGbbtlmKzxaHYnUa/4+EmQ3So/52Bbav9/WdlZd15553nzp0bMWLE6NGjc3JyPvjggy1btqSnpwcHB2sy/9VNsTuTM2zbLQ519xFCRA8IqGX3OXXq1KBBgxRFGTVq1AMPPJCamjp79uz09PSPPvpIi/GvflXv3+IjA8NNht9yD7Z3796lS5d6bdRGqPLuI4Qw+h2PHhAQExrQTd+sptXJzs5u2rRpWFhY5Y033njjlYxxWa2/++674ODgNWvWXMkt1oeEFOvqfbboAQHRof5JvqdFG3/FUZqYYjUm/tAz8/UvP91Y7XedP39+4sSJGzdWfynqivpPefU+W/ywwOhQf6PvadHGPznDFrFs783Zyw+lflL1W+bMmXP27NlPP/303nvvVbe8//77jz322KxZszZv3uzd8a9+Zosjdt2R6AEB8ZGBFbuPOa/YmLi9pt0nISHBarWuXLly8uTJQgi32z169Oj169ebzebw8HBv/wWuahW7T+X7N3XJul3r22XPa7Xfg5WVlcXFxXHYo/4odmfEiv1CiPhhgUlRNxYUFHTp0iU5wxb4/7bXdP8mhDh06FDv3r3NZnMdTnLpSHhhYaHdbr/hhhvq8NbrhPpPOXVq/4TIwHCTQQhh9NOFmwwvhbrOr5n25acfDRo0qOp3ZWRkDBo0aO3atdVeirqi2J2x6w4LIawLwmJCAyoW6F6/ol6pcw+lfnLd9X09vqW8vFxRlN69e1ekWggxfvx4k8m0bds2t9vtzfmveordqabaY/e516+o2YdPffnpR736hVb9rmPHjvXo0SMuLk79o4+Pz7hx44QQ6enp3hy+MVCftHncv8WEBnw4rOk3r8b+6j3Y4sWLc3Jyhg0b5q15Gxc11dEDAtT7N6OfrkubJpXv36rdfWw2W2FhYe/evet2mEu1zs3NFULIVmv1AFFSVIjRT+dxUWxsbKGSO+CRWT/fPLbqN8bGxmZnZ7/00kv/93//55VJGymzxaE4nAmRgR7bY2Njc7795qWXXioMud/jomuuuSYvL+/AgQMe23U63cWLF3mWUIfUx1LxwwKrXaD83G8fenKhT2g1r6Vt2LDBYrFcc82l+4ecnBwhhL+/f70O3NiYLY7V+2xJUTdWe/92+sfveoz5W7d7omv69uzs7Oeff3727Nn9+vWr50kbqcSt1nCToab7t7/MTfy264iq33Xo0CEhRJ8+fep2GM9anzt3Li4uLjQ0NDQ09KmnnrJarXX7836v5AxbuMmgPuT00K9fv7S0tIx/LTl55kJNl86ZM6f+Z2zUYtcdSYoKqbq94vf/5B1dfsvt5Obm5uTk9O7du0mTJr9+bfw2iqNUCBETGlD1InWB/v3aotpvwe1222y2V1999YUXXujZs+eDDz5YL4M2Vokp1T8VEf9boC/feeHfB05W+70ul2vixIlGozE+Pr6ex2ykFLvTbHHUcv/25gt/v6tnNW3Kzs4WQpw9e3b48OF+fn5+fn5jx45VC3slLt0zqrf12muvDR069MEHHzx8+HBKSsquXbvWrFkTElLNuN6x3eKIr/K4RlXx+vpN/q2+qvlS1B/F7lQPq1a9qOL3f1dPw7Jfu53y8vInn3zS5XJNnz69rmds1Mx5xUOqWx1RaYF6+bf6puZbmDlzpvoOps6dO2/durV169Z1P2UjZrYUJxlaVHtRxQJ1aN2s2lwvWbJk//79qampOl01sceVUxylRkP1v9tLu09ANfVRax0fHz969Oi4uLisrKz169d/8cUXZrO5b1/PVwZ/u0u1djqdbdq0Wb58eWjoLwfi161bFx8f//TTT2/atKmWm6j6Jt6UlJQ/PJCHvMIzTc6eUpTTFVsKCgo8rtPSp0wI4XA4FEWpegsnT56s5VJcid3HSv1bCI9frMcCqb9/xXaqpt+/2+1euHDhtm3bhg0bNmTIEJapDqV8a/vbQEPlX2nV3aeF2ylq3kHatWs3efLkvLy81NTUgQMHrlmzhjft15WCkotd2jQRJT8pJZU2VlkgfXNxssoCWa3W+Pj4hx9+uHv37oqinD59Wghhs9nYferQpn2Ovu18ar9/C2haze5TVFTUtm3blStX3nrrreqWtWvXLliw4JFHHvnvf//7e8fQ6/V6vV5UrvVrr73mcaWoqKgPP/zw22+//f7776+//vqabuvKn+DXokmT4126dPE4UmQ0Giv/8Zy7mRDCYDB4bFd16NChlktxJRSX46dSR9Vf7GVbWuqFEMaAdtX+/l0u1+OPP7527do777zz448/btmyZb0N2xjd0KnU2UxvNF52JNxjIUp9dKLmHWThwoXqF6tWrYqLi5s/f35mZmY9TdvYGIUoWP3Dr+w+QjRr2lRcvkBut/uxxx5r3779ihUr2rRpI4Ro27atECIgIIB7uTrUp7D5dktx7Qvkat5GVNl9qiZ5/vz569ev379//9mzZ3v16vXH5vmVc5mpnw+r+nDPa8JNBrPFUft1Tp4p884w8BBuMih2Z+3XqfZdBapz586NGjVq1apVw4cP37JlC6muc0NM+u2W4tqv8+1PZ3/LTU2cOPGmm27av3+/hvcGVx+jn672PUixO6vuQW+88UZaWtry5cvVVKOeGP10ir209ut8YzvzG29NPZHJlbwV7FKtz5w5c+rUKY+LnU6nEELD10WiQ/0Tt9b21zNbHLX0APUt3KRPSKltgf6ddaLa7cXFxUOHDv3ss88ee+yxTz75hFTXh5jQgOQMWy2Pd6uNQU26d+8uhCgqKqqb4SBE9IAA9QOQNUnOsHVo3dRjo3qOmlGjRlWcJOvFF18UQgwaNMjHx0d99z6uXLjJoDicte8+qXnVPBouKSlRXwGsrLS0VAjRokX1b1P4LX6ptd1uv+WWWzzOi+ZyubKzs319fTV8l1m4yWA06CKW76/2UvWzpL/xXceoD0lRNyZutdb0Dzo5w1ZtDM6fPz9ixIj09PRZs2a99957TZt63h+hrsQPC0ys4eGU+vmuiJ56j+3FxcVBQUERERGVN7pcrm+++cbX15djrXVI/WhQTbuPYneu3merev8WExMTf7nbb79dCBEXFxcfH9++ffv6HrvxSIoKiV13pKZLkzNsN/m38thYWFjYtm1bj7OYuVyuPXv2NGnS5EreZfZLrf38/Pr37//DDz+sX7++4rIVK1YcPXp0xIgR6kvcWkmd1l8IEbF8v8cho+QMW+y6w9EDAqr+vuA1Rj9d6rR+EcuzPJ5hK3ZnQoo1cau12sdSCxYsSEtLmzx5Mudvr29qDwIX7/JIgnraB6Nfi6h+HT2+Ra/Xt2rVymw2Vz6v3KJFi44ePXr//fdre29w9YmPDIxYnuWRBHX3iVixP35YYIfWzTy+JSYmJuFygwcPFkJMmjQpISGBWtehcJMhflhg9bvP8v3VPpa67rrrbr/9dovFsmrVqoqNzz77bF5e3iOPPNKuXbs/PMyld5nFx8c/+uijCxYs+OKLL4xG48GDBzMzM00m07x58/7wrdeV1Gn9E1KsgYt3Gf10Azo2LSqzmy3FRj9dUlRIuMmwceNBrQds1MJNBuuCsNh1hwMX24wGXftmLnWB4ocFWheEbdzoeUToxIkTy5YtE0JkZ2dXPY3l5s2b+ZhQ3Uqd1t9scUQsz1J3n9atSxV7qeJwqic427ixmneJvvXWW3fdddfo0aPHjBljNBp3796dlpYWFBT0xhtveH/+q5u6+yRn2HxmfeVx/5Y6tb/RT7fxmNYjNm7qKRrVk49W3L+pu09qZGC154V944037rzzzkmTJm3cuDEoKGjPnj1paWkhISH/+Mc/rmSSS7W+4YYbNmzYsGzZsl27dn399dcdOnSYOHHitGnTrr322iv5AXUlITIwITJQsTv/ue3IvT384/93lj7IwOinS53WX7E7FUfpvu8KBgR1Sa15dXbv3l1WViaE2LNnT9VLL168WI+DNlbhJoP7lbsUu/OjPd+3b6+PDvWvffe59dZbMzIyEhMTv/zyy+Li4i5dusyaNWvhwoU8sa4PRj9dQmRgTGjAb9l94H1GP511QZh6spSioqIBQV1q33369OmTmZmZkJCwbdu2zz//vFOnTrNmzXrmmWfUt+7/YT5XeFrm4ODgev0EV1WKovDKmcxYIJmxOpJjgSSn4QL9yie4AACA5qg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Kg1AACyo9YAAMiOWgMAIDtqDQCA7Gqs9YsvvhgcHHzgwAFvTtM4nTlzxqdmu3fv1npACCFESUnJ3/72t65duzZr1qxbt27Tp08vKSnReij84tSpU0888USnTp1atWrVr1+/t956y+12az0UqlFcXNyhQ4clS5Z4bC8rK3vhhRduuOGGFi1a9OzZc/HixRcvXtRkQmk1qXZrdnb26tWrvTxKI6TYnWaL48J555AhQzwucjqde/bsadOmTdeuXTWZDYrdKYQwWxxGP11Y11Z33XVXZmbm4MGDo6Ki9u7d+89//nPHjh27du1q3ry51pM2UordqThKFbvTz6d09iPDv//++9tvvz0sLGz37t1Tpkz5+uuv33//fR8fH63HbLzU+zejny7cZFC3lJeXx8bGFhYWVr1ybGzs2rVrw8PDR48e/fXXXy9cuPDQoUPr1q3z7shSq6bWFy5cmD9/vsvl8v40jYdid0as2C+EMBp0Qojtt/zd6KeLHhCQEBmoXuGJJ57Ys2fPu+++27lzZy0HbZQUuzM5w5a41are0azOKDV/sk5kZj70aPS/309Wr/OXv/xl5cqVSUlJU6ZM0XTYxkixO2PXHVYcTiFEuMmQ/Nxs8f33oSMeS/vkPfUKM2bMWLp06Z/+9Kfx48drOmkjlZBirbz7RFiyjH66lfebkp+duXHjxqrXT0lJWbt2bXR0dHJyshDC7XaPHz9+7dq1EydOHDZsmLenl5a7in/+858hISETJ04MCgrKysqqeoXKgoKCar9CnbNarV7+iXUu/vN847M74z/Pr7zReqrU+OzO8Dcy3W73li1bhBAPP/ywRgNekYa+QOpCGJ/daT1VWrHxiSeeEEKIcUuT9h5Xt2RkZAghYmJiNBrzD2roq+N2u5P2Hq+8+1y4cKF169Zt9frBr+yoWLUzZ860bdu2b9++mk76RzT0BbKeKlXv31Lz7JW3r9jwpejQUwgxaNAgIcTLL79c+dIxY8YIISr/3Y8ePSqEePDBB70z9m+n4QJ5vm6dm5v71ltvxcXFhYSEePVRQ6NhtjhW77OlTu1f8TRaZfTTWReECSH+/t/vp0+f3qpVq1deeUWjGRu12HWHowcEWBeEGf10FRuvu+46IcQ/wq+NXXfEbHEIIY4dOyaEaN++vVZzNk6K3Zm41ZoUFVKx+/zwww9nzpy5pX//HTMHh5sMsesOCyFatWoVEhJy8ODBn3/+WdN5G53kDNt2i8O6IKzi6Lfq9Wee8j1lNURO+/OEJ6p+V3p6utFoNBqNFVu6detmMpnMZnM9z9uQXFZrl8s1b968zp07//Wvf9VqoKubYnfGrjuSFBVSuQSVJUXduOiV13Nzc2fOnBkQEODl8ZCcYVMcTo8HUkKI6OhovV7/yrN/n9DB9vfNOWlpaTNmzLj22msnT56syZyNlvpYqnIJysvLhRCtW7cWQiRFhQgh1IdTvr6+7v89RYN3KHbn6n22pKgbq17Ur1+/tLS0DW88u2xHgcdFp0+f/umnn0wmk8d2o9FYWFjocDjqa9yG5rLXrVetWnX48OH33nuPN87UE8VRajToPB51Vta1bdPW2R85m+meeuopbw4G1eoMm3qP78FoNO7ateu+++577+nxQog7hOjUqdOOHTuCgoK8PmPjpdidisOZevljqS5dujRr1uzgwYMul8vX1zc6NGB1xk+3dW5x5MgRIcTp06c1GrYxSs6wRQ8IqPapyJo1a9QvbvJv9dXlF6lrpNfrPb6lbdu26qUGQ413mI3KpefWiqIsW7Zs3Lhxt956q4YDXd3MecVDak61EOLjjz8+U3TcNGQ0h1g1ob5xqaoTJ05MmDAhPz8/MjKy170xNw+KOH78eFxc3MmTJ708YWOmPtj12KjT6UaMGHH06NGXXnpJCBETGpCcYVu0aJHdbhdCuPkclxdttzjCe3pG91edPXtWCFH1KaK6xemsfpdshH55bu12u+fPn6/X6+fMmfN7byI4ONhjS0pKSh2MVoOCAs8DKQ3Itz8WDeysUxSlpissW7ZMCFFsuqeW60iuQS+QYncafU8riucTsri4uH379j3//PNRUVFzvijscm2TuHFfT58+/YEHHqh40tAgNOjV2ffdz+2buaruGjNmzDCbzfPnz//000+7XR8ivspccvLI7bffvnPnzuLi4oa1KzXoBcorPPPTTz8pvrUdz2jpUyaEcDgcFetSVFTksUWlHgOvul1b3l8gvV6vHnj4pdb/+te/MjMzV6xYob7887vk5ubW8XS/pvKbERqWe/s0324pnl3D/CUlJbt37+7cvcf1N/dtuH9H0ZAXyOh3XLTx9ziUd/r06a+++qp3795PP/20EKKozP7EAGO4qd+GDRu+/vrrpk2bNqxP2TXc1WlfaCuy2qrObzQaMzIy5s6dm5KScjD7UItOvdLS05OSknbu3Nm/f/9OnTppMewf13AXaGhwqbOZ3mis7Q0359zNhBAGg6Hir6mm6OLFix5/8QsXLgghevXq1aZNm/qZ9w/SaoF+ORKuPhueOnVq8P+8/fbbQohx48YFBwfn5+drMtxVSX0LTLU+//zzsrIyQ++I2o+Wo/6EmwxVF+j48eNCCPVTEordabYUq+88uPHGG4UQP/74o9fHbKRiQgPMluJqLwoMDPzwww9Pnz49Z332wOnL+/fvf+DAAYPB0OBS3aANMem317BAKsXuPHmmzGOjXq/v0KGD1Wr12G61Wjt16iRbqjX0y3PrMWPGeLxcvWvXrv37948dO9bf358X+etKTGjA6gxbQoq16ruOhRC7du0SQhT69YoJ5d3g2ogO9Y9YnhVuMlR+et2xY0cfH5/vvvtOCJG41VqxOt9//70Qwt/fX5NRG6eY0AD1UxWVN44YMSI7O1tRlKOO86v32ZKiQo4dO5aenv7QQw9pNWfjpK5OdKh/TW+kNVscJ89cqLp98ODBGzZsOHbsWMVhqqNHj+bn548dO7Yex21wavog9ssvv8zZUeqD9VSpmPmlx6kDVAMGDhJCvP7FYe9PVYca+gLFf56vnqOmMvWESqNnLzE+u1Pdop6S6bbbbvP6gFekoa+O2+2uemah2bNnCyFef3dN+BuZ8Z/nnzt3LjIy0sfH58CBA1oN+Yc19AVKzbNXPTVK5YsWrXhfVDk7yqZNm4QQEyZMKC8vd7vd5eXlUVFRQoht27Z5ae7fTMMFqv484ag/Rj9d6rR+seuOhJsM6oNQ9XzUyRm2rG9yWrYxPHE356XRUkJkYEKKCFy8K3pAQHhPvbpAMU+/aE7ft3HJnIh7IueW9M7Jyfn000/btWv37rvvaj1vo5M6tX/susMRyx3xkYHqc7hHpkx/c9V7T06O7X3XyLN9e9wy47MjR44899xzffr00XrYRifcZIgeEBCxPCt+WGDF7qM4Ss15xephj+JD1XyMYuTIkaNGjXrvvfcsFsvgwYO//vrr9PT08ePHDx061Pt/BWlRaw2EmwzWBWEJKdbEFGuEJUsIYfTT3RnYxl16Opj7FwkkRAbGhAbErjusnutYCGE06P765uafzUmfffbZjtQv2rdvHx0dnZCQ0L17d62HbXSMfrrUaf09dp/hCWvtW5cfyUxfufeLm2+++eOPPx49erTWkzZS6u6TnGFTF0jdg9TzAwohNh6q/rv+/e9/L168eM2aNUuXLu3evftzzz03a9Ysb44tPx/3lX0eMTg42MvvCVcUpeG+Z7IxuMoWSLE7azrxXEN0la3O1ecqW6CrbPcRmi5Qjf+/NQAhxFV2XwN4E7tPHaLWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADIjloDACA7ag0AgOyoNQAAsqPWAADI7rJaFxUVxcfH33333X369LnvvvtWrVrlcrm0mgxXjdmzZ/v4+OzevVvrQXDJjBkzfKqIiorSei5csnbt2oEDB7Zq1Uqv199///3ff/+91hNBS00qviouLh43btyxY8fuvvvu7t277969+8UXXzxw4MBrr72m4XxoKBS702xxbLcU5xx3RPZyCyESIgOFEHv37l26dKnW00GYLQ7F7vzsYGHr1qXdDbq9mQeaNm0aFhZW+To33nijVuM1clV3n4s73l28eHFQUNDUqVMVRdmwYUN6enp2dvZ1112n9bDQxqVaL1u2rKCgYNGiRQ899JAQwu12T5s2LSUlZe/evbfeeqt2E6IBSEixrt5nCzcZhpj0kV1Fzhmx3eIIXGx7+/6eM+LiOEKjLcXuTM6wqQs0sLOufXu9YnfuyTzYMqCn2WzWejoIxe6MWLE/3GTobtBFdjXknBHHv8t+e/FzgX3DDqZ/qdPphBArV678y1/+smjRIp4+NVqXjoSfOHGia9euY8eOVf/o4+Pz5z//WQiRlZWlzWhoINRUp07tnxQVEhMacFvnFgmRganT+idFhdwzcfaRIznDhg3TesbGSy2BEMK6ICwpKmRsyLUxoQF/6a1znXOYbugVuHiX1gM2dskZtogV+6MHBCRFhSREBqq7z/l9G3yb+HZ8YP7UjVb1anFxcf7+/gcPHtR2Wmjo0nPr119/3eOy/Px8IUT79u29OhEaFLPFoaba6KfzuMjv7I9N9q27eMuDPUI6ia1bNRkPiVut4SaD+qpEhUOHDgkhYv48+EBHQ8Ty/anT+ms0XWOn2J2JW61JUSHhJkPl7Vu2bBl46607F97rM+ur6FD/cJPB19fXZrNpNSdkUM17wt1ud2FhYXJy8sqVK7t37/6nP/3J+2OhoUhMscYPC6yaapfLNXHixMBA44KFf99pPa3FaBBmi8NscSRFhXhsz87OFkKcPXvWljzj69nhbfSGsWPH5ubmajFjoxa77nD0gACPVJ88ebKwsPDmm2/Oysrqvee5u3t1adu27dixY9WnT2i0qqn1888/P3jw4Oeff75du3arVq1q2bKl98dCg6DYnYrDGRMaUPWiecJ6ogAAFv9JREFUJUuW7N+//+233550u/GQ7Yz3Z4MQwpxXHD2gmtVRax0fH3/ttdeG3D22a9DN69evHzhw4IEDB7w+Y6OmOJzhPfUeG48fPy6EyM3NDQsLa1LqKL/pz7cMDFu/fv1tt91mtVq1GBNSaFJ1U2BgYFxcXF5e3vbt28eNG5eUlBQUFFTLTQQHB3tsSUlJqcsZL1dQUFB/N47fZfexUv8WQlGUyhsLCgqsVmt8fPzDDz/cvXt3UfKTut1ms3lcE/Ut5Vvb3wYaKv/a1d2nqKiobdu2K1euvPXWWz868vOeY85HR29bsGDBI4888t///lezcRuZgpKLFy9eNPqeVpRLB58KCgp++uknIYTZbH7wwQdfeOGFIWsK/nyr4a47b3/mmWcmT578zjvvaDcyNAiQXq/X6/VCCOGu2UcffRQUFDRmzJharhMUFFTLpfXBarV6+SeiJkl7j4e/kemxMT8/f/DgwZ07dz59+rS6RYRGCSHS09O9PmBjF/PB4aS9xytvqbr7pObZ1UXs37+/EOKbb77x2ngQM7/02GK1Wnft2iWEaN68eXFxsdvtDn8jMzXPXl5efsMNN/j6+paUlGgxKX6hYYBqO5fZAw88cP3113/77bfqYz3AQ0xogNlS7LFxzZo1aWlpy5cvb9OmjRBCsTvb6qo5hAMvGGLSb6+yQB7MecVDTAYhhFprjrV6k9FPp9idHhvbtm0rhDCZTOoXZktxuMng4+PTt29fl8t19OhRDQaFBH7lzKOdO3cWQjgcDq8Mg4bH6KczWy7756EeSh01apR6eqzAdi1O73hfCDFo0CAfH5+cnBxtBm2Uqq6OqqSk5OTJk0IIxe5cvc+mvnRaWloqhGjRooWXh2zMwk2G5AzPd3qbTCZfX98LFy4IIZIzbBVv4VS38EaiRuuXJz0lJSVjx47t2LHjmjVrKi5zuVzfffedr6+v2mygqqSokIjlWe5X7qrYMnbs2OHDh6tfF5deXL3P1vPskX170uPi4rp06cIHAr0p3GQwGnSx645Uflt4YWFhhw4dTCZTXl5ecoYt3GQINxlcLteePXuaNGnSt29fDQdubOKHBQYu3hXeU1/5beHNmzcPDQ3ds2fPruzvE7cWqmtXXl6elZXVtm3brl27ajcvNFVxTHzUqFFBQUFfffVVxZbXXnstKCjoqaeequVIOq9bI+aDw8Znd6bm2dU/VixQap7d+OzOpL3H586dK3jdWjti5pfxn+erX6urc/vttwshRs54wfjsTuupUrfbnZCQIISYMGGChnM2Tupu4rH7JCcnCyFa3jB4wvvZ6vZXX31VCDF16lSt5oRKwwD5uN1uNdvZ2dkTJkwoKysbOnRoly5dDhw4kJmZaTQaP/jgAz8/v5piHxwc7OWPaSqKYjQavfkT8auSM2yx647EhAZ0N+huaO10NtNvtxSrn/QNNxmefvrpF198MT09/bbbbtN60sZIsTtj1x1WHM7oAQGni4v79PD/+Kvdm+PHl58vvXv4n/r2CtmzZ09aWlpISMiOHTvatWun9byNjtniiF13RAgRPSBA3X3MeY7/LP7ruW9Te/XqNXz48JycnM8++8xkMu3du7eWe2N4gYYBulRrIYTFYnn99dfT09NLSkr8/f0jIyOnTp2qvleoJtQaKvVk1EKIlG9tN3QyDDHpKz6HTa1loC7Qtz8WtW7deohJ3/Rn25ZV/9i2bZvD4ejUqdPYsWOfeeYZ9W1N0ERyhk2xOyt2nzsC22z+1ztvv/12Xl5eu3btRowYsWjRIv5LD83JUus/gFrDAwskM1ZHciyQ5DRcoF95TzgAANActQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHbUGgAA2VFrAABkR60BAJAdtQYAQHaX1frYsWMLFiwYNmzYzTffHBYWNnv27B9++EGryQAZKHbnL18oyqRJk4KCgnQ6XceOHR999FGLxaLtbKhw4sSJKVOm9OjRo2XLljfddNMrr7zicrm0HgqoS00qvjp8+PCjjz7qdDojIiLuueee/Pz8zZs3b9++/cMPPwwMDNRwRMD7FLszcavVbHEodqfRT1d2/PuiVdMuljlHjBgxevTonJycDz74YMuWLenp6cHBwVoP2+godmdyhm27xWG2FAshuurKCt+KO2+3jRo16oEHHkhNTZ09e3Z6evpHH32k9aRA3XH/T3R0dHBwcGpqasWWTZs2BQUFPf744+6aBQUF1XJpfbBarV7+ifhdGvoCWU+Vxn+eb3x2Z/zn+al5dnVL/7AhQvh0GP+y9VSperU1a9YIIe69915Nh/3dGvrquN1u66nS8Dcyjc/uVFfH7XZPmDRFCCHumRn/eb7b7S4vLx85cqQQovK9WUNxFSzQ1U3DBfrlSHh5efmxY8eCg4PDw8MrQj5y5Mhu3brt3LnT7XZ7/2EEoInkDNvqfbbUqf0TIgPDTQYhRDd9s9MnCvr06T11/AMRK/arVxs/frzJZNq2bRt7hzcpdmfEiv1DTAbrgjB1dYQQP5860aNHD8vaRdstjoQUq4+Pz7hx44QQ6enpmg4L1KVfjoRfc80127Ztq3px8+bNXS5XeXm5r6+vdwcDNKDYnWqqjX66io3XXHNNXl6e+vV2iyN23ZGkqBAhhE6nu3jxosvlatKkSfU3h7qWnGELNxkSIi97bW7Dhg3qF0lRNwYu3hXeU5+TkyOE8Pf312BEoH7U9p5wq9Wan58fHBxMqtFIxK47HD0goHKqPaRO65+cYRNC5Obm5uTk9O7dm1R7jfpYSn2oVK3uhuZLh/r9X+KLL7zwQs+ePR988EFvjgfUqxrvaMrLyxctWuRyuaKjo705EKCt8J762q9g9NPlF5178sknXS7X9OnTvTMVhBCKo9RoqPGBlBBi5syZS5cuFUJ07tx569atrVu39tZoQL2rvtZutzsxMXHnzp1Dhw4dM2ZM7TdR9T2xKSkpdTNddQoKCurvxnHlGvQCmS3FSb6nFeV0Lde5pUOTRyfE7N62bdiwYUOGDFEUxVvT1YEGvTqb9jnaN3PV8gtv167d5MmT3/4i+5h1z8CBA9esWdPg3rHfoBeoMfD+Aun1er1eL6qttcvleuaZZ9avXx8aGrpkyZJfva3c3Ny6H7BWRqPRyz8Rv0vDXSCj33HRxr+WI+Eul2tn0vSf0jfdeeedH3/8ccuWLb05Xp1ouKvTp7B5saW4lvkXLlyo2J3bVux/JiAnLi5u/vz5mZmZXhywbjTcBWoktFogz9etS0tLp02btn79+jvuuOPtt99u0aKFJmMBmgg3GcwWR02Xnjt3btifR/yUvmnI3cO2bNnSEFPdoMWEBqhvGqiFerR84sSJN9100/79+3mqiqvGZbUuKSmJjY01m82jRo168803STUamyEm/eoaelBcXDx06NCvtm5p3Xf4ti2bSbUmwk36hBRrTZcqdmdiijU6NEAI0b17dyFEUVGR94YD6tOlWpeVlU2ZMiUrK2vixIkvvfQS73RFIxQTGiCEiF13xGP7+fPnR4wYkZ6e3ub2hz/9aG3Tpk21mA4iKepG9RxzFVuKi4uDgoIiIiKEEOoz75jQAJfL9c033/j6+nJUGVeNS7V+9dVXMzMzH3rooblz52o4EKCtpKgbFXtpxPL9FWcIF0I8OWtuWlratQNGznhmccVJOeB9Rj9dUlRIxPKsimfYer2+VatWZrO597R/rt5nS4q6UQixaNGio0eP3n///erbc4CrgI96JqaioqLw8PALFy706dOnefPmHld66623ajruFxwc7OV3mSmKwuNlmV0dC5SQYk3cajX66cJNhu+OHtu14E/CdbHvLaFtW3vuCJs3b25AnxS6OlZHsTtj1x02W4rVBcrO2pe19HFxseyB++83Go27d+9OS0sLCgpKS0u77rrrtB7297k6FugqpuEC/XK4++DBgxcuXFC/qHqlixcvenUoQGsJkYEJkYGK3Wm2OHqe3r/LdVEIcSAzo+o12Tu8z+inS53WX7E7FUepYndGh97XMWZ/YmLil19+WVxc3KVLl1mzZi1cuJAn1ria+FzhWY55bg0PLJDMWB3JsUCS03CBajvzKAAAkAG1BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkB21BgBAdtQaAADZUWsAAGRHrQEAkF31tS4pKRk0aNC7777r5WkAeFlxcXGHDh2WLFmi9SAAatOk6qby8vJ58+bZ7XbvTwOg/ih250dHfj6Taw3vqQ83GYQQ5eXlsbGxhYWFWo8G4Fd41rqsrGz+/PlffPGFJtMAqA/JGbbErVYhxICOTVu3bhKxPMvop1t5vyn52ZkbN27UejoAv+6yWh86dOjvf//74cOH+/Xrl5WVpdVMAOqKYncmZ9hW77MlRYWEmwyKohiNxqSokE++TLvv7jvLbN8NGjQoPT1d6zEB/IrLXreeN29ebm7unDlzJk2apNVAAOqQ2eJYvc9mXRCmHvquMP9vU1wnLT3G/K3bPdFazQbgt7us1iEhIWvXriXVwNVBsTsTt1qTokKqXtSvX7+0tLQv33nh3wdOen8wAL/XZUfCX375Za3mAFDnkjNsRoPO41m1as2aNeoXd/U0fOXdqQD8AXzeGrhqHXU4h1SX6sp6BbTyzjAArkQ1n+D6vYKDgz22pKSkXPnN1qSgoKD+bhxXjgWSx5kzZ1q3vagoSsWWqqvzc0mJEMLhcFS+GrTC7iM57y+QXq/X6/WiTmqdm5t75TfyuxiNRi//RPwuLJAkWrcuPXONzmM5PP5Y6qMTQhgMBlZNEiyE5LRaII6EA1etISb9douj9ut8+9NZ7wwD4EpQa+CqFRMaIIQw1xzs5AzbyTMXvDgRgD+IWgNXs/jIwIjlWdUG22xxJG61PnlHF+9PBeD3qoPXrQFIK9xkSJ3WL2J5VkxoQHSov9FXKHan4ig15xWv3meLHhBwUymftwYaAGoNXOXCTQbrgrDkDFtiitVsKTb6HTcadENMBuuCMCHExo0HtR4QwK+rvtZDhw71/ju9AdQTo58uITJQiED1POGVLxo9erTb7dZoLgC/Fa9bAwAgO2oNAIDsqDUAALKj1gAAyI5aAwAgO2oNAIDsqDUAALKj1gAAyI5aAwAgO2oNAIDsqDUAALKj1gAAyI5aAwAgO2oNAIDsqDUAALKj1gAAyK7h1ToyMlLrEVAbFkhmrI7kWCDJabhADa/WAAA0NtQaAADZUWsAAGRHrQEAkB21BgBAdj5ut/tKvj84OLiuRgEAAB5yc3PFldcaAADUN46EAwAgO2oNAIDsqDUAALKj1gAAyI5aAwAgO2oNAIDsqDUAALKj1gAAyI5aAwAgO2oNAIDsqDUAALJrkLU+duzYggULhg0bdvPNN4eFhc2ePfuHH37Qeih4KikpGTRo0Lvvvqv1IBAXLlxYuXLl8OHDe/fufc8996xYscLlcmk9FKrBXiMhSYrT8Gp9+PDh++67b8OGDT179pwwYUKfPn02b978wAMPWK1WrUfDJeXl5fPmzbPb7VoPAiGEmDdv3iuvvHLddddNmDChXbt2S5cunT17ttZDwRN7jYQkKo67oYmOjg4ODk5NTa3YsmnTpqCgoMcff1y7oXCZ8+fPz5o1KygoKCgo6J133tF6nMZux44dQUFBc+fOVf9YXl6urs6OHTu0HQyVsdfISZ7iNLDn1uXl5ceOHQsODg4PD6/YOHLkyG7duu3cudPN//4pgUOHDo0bN+7TTz/t16+f1rNACCHWrVsnhHjyySfVP/r4+MycOVMI8Z///EfLsVAJe42cpCpOE2/+sCt3zTXXbNu2rer25s2bu1yu8vJyX19f70+FyubNm5efnz9nzhyj0fjEE09oPQ5EVlZW586dO3fuXLGlU6dO3bp127t3r4ZToTL2GjlJVZwG9ty6WlarNT8/Pzg4mFTLICQkZO3atZMmTdJ6EAghxM8//1xUVNStWzeP7Z07d7bb7SUlJZpMBQ/sNQ2IVsVpYM+tqyovL1+0aJHL5YqOjtZ6FgghxMsvv6z1CLjk559/FkK0adPGY/u1116rXlr1Ingfe01DoWFxGvZza7fbnZiYuHPnzqFDh44ZM0brcQDplJaWCiGaNWvmsV3dcv78eQ1mAhombYvTgJ9bu1yuZ555Zv369aGhoUuWLNF6HEBGzZs3F0KUlZV5bFe3tGjRQoOZgAZI8+LIW+tPPvlkzpw5lbdkZ2erdz1CiNLS0unTp5vN5jvuuGPZsmXc6XhZ7asDeagHus+cOeOxXT1Crh4PB1A7GYrTII+El5SUxMbGms3mUaNGvfnmm6QaqEmbNm3atWtXUFDgsb2goKBDhw6tW7fWZCqgAZGkOPI+tx45cuTIkSOrbi8rK5syZUpWVtbEiRPnzp3r/cEgal4dSOiWW27ZunXriRMnOnbsqG45fvz4jz/+GBkZqe1ggPzkKU7De2796quvZmZmPvTQQ6Qa+C3Ut8P84x//UE/m4Ha71VfdoqKiNJ4MkJ48xZH3uXW1ioqK1qxZI4TIzc197LHHPC596623WrZsqcVcgLzuuuuuu+++e+PGjT/88MMtt9yyb9++rKyskSNHhoWFaT0aIDWpitPAan3w4MELFy6oX1S99OLFi16fCGgAli5dumLFik2bNq1evbpTp04zZ86cOHGi1kMBspOqOD6cWxsAAMk1vNetAQBobP4/z+fzL29kWz4AAAAASUVORK5CYII=" data-image-state="image-loaded" width="328" height="266"></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: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; "></div><div style="background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20.4333px; transform-origin: 404px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 212px 8.5px; tab-size: 4; transform-origin: 212px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; ">x = [0 -0.5 0.5 -1 0 1 -1.5 -0.5 0.5 1.5 -2 -1 0 1 2]</div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 140px 8.5px; tab-size: 4; transform-origin: 140px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; ">y = [1 2 2 3 3 3 4 4 4 4 5 5 5 5 5]</div></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; "></div></div></div>

Solve

Solution Stats

106 Solutions
71 Solvers

Last Solution submitted on Sep 14, 2023

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers71

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 56200. Triangle Coordinates

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers71

Suggested Problems

More from this Author12

Problem Tags

Community Treasure Hunt

Problem 56200. Triangle Coordinates

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers71

Suggested Problems

More from this Author12

Problem Tags

Community Treasure Hunt

Players