Problem 1969. Self-Description

Created by Alfonso Nieto-Castanon

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId1","target":"/media/image1.png"}],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This is a simplified version of the</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://xkcd.com/688/\"><w:r><w:rPr><w:b/></w:rPr><w:t>xkcd comic</w:t></w:r><w:r><w:t> by the same name</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Simply return the angle (in degrees) of the 'black' sector of the pie chart that would make the graph description accurate.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Details:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Assume that the pie chart circle covers 36% of the total image area, and that the text, textbox lines, image frame, and outer circumference of the pie (anything painted in black except the pie chart 'black' sector) add up to 6.4% of the total image area.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Return the angle in degrees rounded to 4 decimals.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:i/></w:rPr><w:t>(\"detail oriented\" players may also assume that the portion of the textbox line which is white (overlapping the pie chart 'black' sector) has already been discounted twice from the 6.4% value above)</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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"}]}

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Last Solution submitted on Nov 10, 2022

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Jean-Marie Sainthillier on 21 Jul 2014

Hello Alfonso. Do you want a hacking of the pcode ? Is it possible ? Or do you want a more common measurement from the image with your parameters?

Alfonso Nieto-Castanon on 21 Jul 2014

I was going for the simple measurement (and the .p function was just to avoid publishing the actual solution) but please feel free to explore other approaches as well. While common hacks to pass this problem would work, I believe it might not be possible to hack the piechartsolve.p function to give away the solution (but I will be very interested if that proves to be wrong!)

Jean-Marie Sainthillier on 21 Jul 2014

I tried something in my solution.

Rafael S.T. Vieira on 10 Nov 2022

Tip: It is useless to count pixels. And it is not a hacking challenge. There is a way to know.

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Problem 1969. Self-Description

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