Problem 42818. center of mass

Created by Thomas Bischoff

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R is a given matrix with size [n,2]. R(i,:) is interpreted as the 2D-position of a mass point with mass i. Calculate the center of mass of all mass points proposed by R.

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Last Solution submitted on Dec 18, 2025

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William on 3 May 2016

I believe the test suite answers are computed incorrectly. At least, the center of mass ought to lie within the range of coordinates occupied by the masses!

Katherine Harskamp on 19 May 2016

I agree with William. If I'm reading the problem correctly, then for the second test, there should be a mass of 1 at (0,0) and a mass of 2 at (1,1) which would put the center at (2/3,2/3).

Katherine Harskamp on 19 May 2016

The equation for center of mass is the sum of the mass*radius divided by the total mass, NOT the total distance (which is what seems to be the case for the test suite)

Thomas Bischoff on 20 Jun 2016

Hi Katherine and William,
thank you very much for your advice. When I generated the test suite I made a stupid mistake (I divided by n which is totally wrong!). Sorry for that. I hope that its correct now.

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Problem 42818. center of mass

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Problem 42818. center of mass

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