Write a program that prompts the user to enter a positive integer and then uses this criterion to determine whether the number is divisible by 11. Example output (Program output should be in a similar format): 121 is divisible by 11 12 is not divisible by 11

C++ Programming Ex 5-7

Let n = a_ka_k-1a_k-2...a₁a₀ be an integer and t = a₀ - a₁ + a₂ - ... + (-1)^k a_k.

It is known that n is divisible by 11 if and only if t is divisible by 11.

For example, suppose that n = 8784204. Then t = 4 - 0 + 2 - 4 + 8 - 7 + 8 = 11.

• Because 11 is divisible by 11, it follows that 8784204 is divisible by 11.

If n = 54063297, then t = 7 - 9 + 2 - 3 + 6 - 0 + 4 - 5 = 2.

• Because 2 is not divisible by 11, 54063297 is not divisible by 11.

Write a program that prompts the user to enter a positive integer and then uses this criterion to determine whether the number is divisible by 11.

Example output (Program output should be in a similar format):

121 is divisible by 11

12 is not divisible by 11