The Game consists of finding a Hidden Number generated randomly by your machine. The number is composed of 3, 4 or 5 digits. As hints, the sum S and the Product P of the digits forming the Hidden number are given. For example, if the hidden number is: 52431, the product P = 120 and the sum S = 15 are given. Note that by decomposing P into its prime factors, we can determine the correct possible digits to obtain the product P. However, since factorizations containing composite numbers may not be unique, we have to use the value given by their sum to determine the correct answer.