Problem 2317. Distance of the centroids of the balls

Created by Marco Castelli

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{"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</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> balls of radius</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>r</w:t></w:r><w:r><w:t> and the vector</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>p (nx3)</w:t></w:r><w:r><w:t> with all position</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>(x,y,z)</w:t></w:r><w:r><w:t> of the balls, return the symmetric matrix</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>A (nxn)</w:t></w:r><w:r><w:t> containing all distance between the centroid of all balls (diagonal terms should be all 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>Two or more balls can overlap.</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: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; "><div style="display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 46.5px; vertical-align: baseline; perspective-origin: 332px 46.5px; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 31.5px; white-space: pre-wrap; perspective-origin: 309px 31.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; ">Given n balls of radius r and the vector p (nx3) with all position (x,y,z) of the balls, return the symmetric matrix A (nxn) containing all distance between the centroid of all balls (diagonal terms should be all 0).</div><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; ">Two or more balls can overlap.</div></div></div>

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72 Solutions
41 Solvers

Last Solution submitted on Feb 28, 2022

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3 Comments

Piotr Lesniewski on 19 Feb 2020

Perhaps the "default" solution should not be the one actually solving the problem?

Rafael S.T. Vieira on 13 Jul 2020

maybe an admin could, please, erase the solution from the default?

goc3 on 28 Sep 2020

The default function has been updated to not reveal the solution.

Solution Comments

Solution 441698

1 Comment

1 Comment

J.R.! Menzinger on 12 May 2014

I think there is some rounding difference here... :-(

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Problem 2317. Distance of the centroids of the balls

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Problem 2317. Distance of the centroids of the balls

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