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 {a1, a2, a3 ..., an} is given by: a1 For example, the geometric mean of 2,9 and 12 is equal to 6 (V2 -9 12 = 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: Please enter the length of the sequence: 3 Please enter your sequence: a2 a3 an 6). 1 2 3 The geometric mean is: 1.8171
b) Keep reading the numbers until 'done' is entered. For example, an execution would look like: Please enter a non-empty sequence of positive integers, each one in a separate line. End your sequence by typing done: 1 2 3 done The geometric mean is: 1.8171