let 5 2 2 ... n a ak k 1 2 a a k 1 0 a be an integer and t a a 012 a a ... ( ) 1 k 5 2 1 2 1 2 k. it is known that n is divisible by 11 if and only if t is divisible by 11. for example, suppose that n 5 8784204. then t54 0 2122 41215 878 11. because 11 is divisible by 11, it follows that 8784204 is divisible by 11. if n 5 54063297, then t 521 7 9 2360 212 1 24 552. 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.