The answer is commissioned
The input function reads a piece of data that has been entered at the keyboard and returns that piece of data, as a string, back to the program. This function is designed to accept data directly from the user, Similar function is the function raw_input() used in Python programming, which asks the user for a string of data (ended with a newline), and simply returns the string.
The program is correct: at the beginning, product = 0. Then, we start summing Y to that variable, and we sum Y exactly X times, because with each iteration we increase Count by 1, and check if Count=X so that we can exit the loop.