Write two versions of a program that reads a sequence of positive integers from the user, calculates their geometric mean, and print the geometric mean. note: in mathematics, geometric mean of a dataset a, a2, a..an is given by: wai a2 a3 "an for example, the geometric mean of 2, 9 and 12 is equal to 6 (v2-9-12-6). your two versions of the program should read the integer sequence in two ways: a) first read the length of the sequence for example, an execution would look like: enter the length of the sequence: 3 enter your sequence: 1 the geometric mean is: 1.8171 b) keep reading the numbers until 'done' is entered. for example, an execution would look like: enter a non-empty sequence of positive integers, each one in a separate line. end your sequence by typing done: 1 done the geometric mean is: 1.8171