function centroids = computeCentroids(X, idx, K)
%COMPUTECENTROIDS returs the new centroids by computing the means of the
%data points assigned to each centroid.
%   centroids = COMPUTECENTROIDS(X, idx, K) returns the new centroids by
%   computing the means of the data points assigned to each centroid. It is
%   given a dataset X where each row is a single data point, a vector
%   idx of centroid assignments (i.e. each entry in range [1..K]) for each
%   example, and K, the number of centroids. You should return a matrix
%   centroids, where each row of centroids is the mean of the data points
%   assigned to it.
%

% Useful variables
[m n] = size(X);

% You need to return the following variables correctly.
centroids = zeros(K, n);


% ====================== YOUR CODE HERE ======================
% Instructions: Go over every centroid and compute mean of all points that
%               belong to it. Concretely, the row vector centroids(k, :)
%               should contain the mean of the data points assigned to
%               centroid k.
%
% Note: You can use a for-loop over the centroids to compute this.
%

for k = 1:K
  count = 0;

  % XXX vectorize
  for i = 1:m
    if idx(i) == k
      centroids(k, :) += X(i, :);
      count += 1;
    end
  end
  if count > 0
    centroids(k, :) /= count;
  end
end


% =============================================================


end