Problem 44059. Convex Hull Capture

Created by Ned Gulley

Solve Later

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Consider the</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Convex_hull\"><w:r><w:t>convex hull</w:t></w:r></w:hyperlink><w:r><w:t> formed by the points in uv. Which points in xy lie inside this hull?</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=\"264\"/><w:attr w:name=\"width\" w:val=\"317\"/><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>In this case, the answer would be the logical vector [1,0], since the first row of xy is in the box defined by uv, whereas the second row is not.</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>Example</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ uv = [13,12;10,18;8,4;12,10;16,4;13,2;];\n xy = [12,15;9,7;9,13;13,8;];\n\n in_correct = [0;1;0;1;];]]></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=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"319\"/><w:attr w:name=\"width\" w:val=\"248\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" 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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

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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 0px; transform-origin: 0px 0px; "><span style="">Imagine four points in uv that form a square.</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 100px; border-bottom-left-radius: 4px; border-bottom-right-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: 329px 50px; transform-origin: 329px 50px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> uv = [ </span><span style="border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); text-decoration: none; text-decoration-color: rgb(14, 0, 255); ">...</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">    0,0;</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">    0,2;</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">    2,2;</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">    2,0];</span></span></div></div><div style="block-size: 42px; 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: 309px 21px; text-align: left; transform-origin: 309px 21px; 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 0px; transform-origin: 0px 0px; "><span style="">Now we have two more points in xy: one at [1,1] and the other at [1,3]. The first one is in the square, and the second is outside it.</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 60px; border-bottom-left-radius: 4px; border-bottom-right-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: 329px 30px; transform-origin: 329px 30px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> xy = [ </span><span style="border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); text-decoration: none; text-decoration-color: rgb(14, 0, 255); ">...</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">    1,1;</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">    3,1];</span></span></div></div><div style="block-size: 42px; 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: 309px 21px; text-align: left; transform-origin: 309px 21px; 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 0px; transform-origin: 0px 0px; "><span style="">Here is the challenge. Consider the</span></span><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 0px; transform-origin: 0px 0px; "><span style=""> </span></span><a target='_blank' href = "https://en.wikipedia.org/wiki/Convex_hull"><span style=""><span style="">convex hull</span></span></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: 0px 0px; transform-origin: 0px 0px; "><span style=""> formed by the points in uv. Which points in xy lie inside this hull?</span></span></div><div style="block-size: 270px; 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: 309px 135px; text-align: left; transform-origin: 309px 135px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" src="data:image/png;base64,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" data-image-state="image-loaded"></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: 309px 21px; text-align: left; transform-origin: 309px 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: 0px 0px; transform-origin: 0px 0px; "><span style="">In this case, the answer would be the logical vector [1,0], since the first row of xy is in the box defined by uv, whereas the second row is not.</span></span></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: 309px 10.5px; text-align: left; transform-origin: 309px 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 0px; transform-origin: 0px 0px; "><span style="">Example</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 80px; border-bottom-left-radius: 4px; border-bottom-right-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: 329px 40px; transform-origin: 329px 40px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> uv = [13,12;10,18;8,4;12,10;16,4;13,2;];</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> xy = [12,15;9,7;9,13;13,8;];</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "></span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-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: 329px 10px; transform-origin: 329px 10px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "> in_correct = [0;1;0;1;];</span></span></div></div><div style="block-size: 325px; 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: 309px 162.5px; text-align: left; transform-origin: 309px 162.5px; 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 0px; transform-origin: 0px 0px; "><span style=""> </span></span><img class="imageNode" width="248" height="319" style="vertical-align: baseline;width: 248px;height: 319px" 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" data-image-state="image-loaded"></div></div></div>

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56 Solutions
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Last Solution submitted on Jan 06, 2022

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1 Comment

Peng Liu on 1 Feb 2017

This problem may be generalized to a more challenging case: the N-D convex hull.

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geometry

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Problem 44059. Convex Hull Capture

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Problem 44059. Convex Hull Capture

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Last 200 Solutions

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Problem Recent Solvers21

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