function idx = findClosestCentroids(X, centroids)
%FINDCLOSESTCENTROIDS computes the centroid memberships for every example
%   idx = FINDCLOSESTCENTROIDS (X, centroids) returns the closest centroids
%   in idx for a dataset X where each row is a single example. idx = m x 1 
%   vector of centroid assignments (i.e. each entry in range [1..K])
%

% Set K
K = size(centroids, 1);

% You need to return the following variables correctly.
idx = zeros(size(X,1), 1);

% ====================== YOUR CODE HERE ======================
% Instructions: Go over every example, find its closest centroid, and store
%               the index inside idx at the appropriate location.
%               Concretely, idx(i) should contain the index of the centroid
%               closest to example i. Hence, it should be a value in the 
%               range 1..K
%
% Note: You can use a for-loop over the examples to compute this.
%

m = size(X, 1);

for i = 1:m
    deltas = zeros(K, 1);
    rep_examples = repmat(X(i, :), K, 1);
    for j = 1:K
        rep_examples(j, :) = rep_examples(j, :) - centroids(j, :);
        deltas(j, 1) = rep_examples(j, :) * rep_examples(j, :)';
    end
    [min_delta, min_delta_index] = min(deltas);
    idx(i, 1) = min_delta_index;
end

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

end

