Write a program that

prompts the user to enter three integers a, b, and c,

determines

whether a is divisible by b and c,

whether a is divisible by b or c,

and whether a is divisible by b or c, but not both. Hint: using xor, i.e. (a%b==0) ^ (a%c==0)

Test scenarios and sample outputs:

Please enter three integers: 10 5 6 Is 10 divisible by 5 and 6? false Is 10 divisible by 5 or 6? true Is 10 divisible by 5 or 6, but not both? true Please enter three integers: 1024 64 46 Is 1024 divisible by 64 and 46? false Is 1024 divisible by 64 or 46? true Is 1024 divisible by 64 or 46, but not both? true