Let n = akak-1ak-2. . .a1a0 be an integer. Let t = a0 – a1 + a2 – .. . + (–1)k ak. 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 criteria to determine whether the number is divisible by 11.
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