Given the positions and masses of a sequence of objects, write a program to compute their center-of-mass, or centroid. The centroid is the average position of the n objects, weighted by mass. If the positions and masses are given by (xi , yi, mi ), then the centroid (x, y, m) is given by

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m = m + m + ... +mn x = (mx + ... + m, x)/m y = (m,y,+ ... +my)/m n