Write a C++ program that uses a 4 X 4 array and randomly place each integer from 1 to 16 into the 16 squares. The program calculates the magic number by adding all the numbers in the array and then dividing the sum by 4. The 4 X 4 array is a magic square if the sum of each row, each column and each diagonal is equal to the magic number. Your program must contain at least the following functions :

a) a function to randomly fill the array with the numbers

b) a function to determine if the array is a magic square

Run these functions for 10000 number of times and print the number of times the array is a magic square.