Write an algorithm that determines if a three-digit number equals the sum of each digit cubed.The algorithm will check each three-digit number (100-999) and will print the number if the sum of each digit cubed equals the number. You MUST use a while loop to do this. You must print all three-digit numbers that are equal to the sum of each digit cubed. You must use ONLY integers.

For example, 153 equals the sum of each digit cubed: 1*1*1 + 5*5*5 + 3*3*3 = 1 + 125 + 27 = 153