3.3 Assume that Personal Identification Numbers (PINs) are formed by nine-digit com- binations of numbers 0 to 9. Assume that an adversary is able to attempt three PINs per second. a. Assuming no feedback to the adversary until each attempt has been completed, what is the expected time to discover the correct PIN? b. Assuming feedback to the adversary flagging an error as each incorrect digit is entered, what is the expected time to discover the correct PIN?

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Write a program that begins by reading in a series of positive integers on a single line of input and then computes and prints the product of those integers. integers are accepted and multiplied until the user enters an integer less than 1. this final number is not part of the product. then, the program prints the product. if the first entered number is negative or 0, the program must print “bad input.” and terminate immediately. next, the program determines and prints the prime factorization of the product, listing the factors in increasing order. if a prime number is not a factor of the product, then it

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