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+function p = predict(Theta1, Theta2, X)
+%PREDICT Predict the label of an input given a trained neural network
+%   p = PREDICT(Theta1, Theta2, X) outputs the predicted label of X given the
+%   trained weights of a neural network (Theta1, Theta2)
+
+% Useful values
+m = size(X, 1);
+num_labels = size(Theta2, 1);
+
+% You need to return the following variables correctly
+p = zeros(size(X, 1), 1);
+
+% ====================== YOUR CODE HERE ======================
+% Instructions: Complete the following code to make predictions using
+%               your learned neural network. You should set p to a
+%               vector containing labels between 1 to num_labels.
+%
+% Hint: The max function might come in useful. In particular, the max
+%       function can also return the index of the max element, for more
+%       information see 'help max'. If your examples are in rows, then, you
+%       can use max(A, [], 2) to obtain the max for each row.
+%
+
+% input layer
+a1 = [ones(m, 1) X];
+
+% hidden layer
+z2 = a1 * Theta1';
+a2 = sigmoid(z2);
+a2 = [ones(m, 1) a2];
+
+% output layer
+z3 = a2 * Theta2';
+a3 = sigmoid(z3);
+
+[~, p] = max(a3, [], 2);
+
+
+
+
+
+
+
+% =========================================================================
+
+
+end