Question 4: 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. Notes: 1. In mathematics, geometric mean of a dataset {a1, az, az ..., an} containing positive numbers, is given by: Maj.az az *-* An. For example, the geometric mean of 2, 9 and 12 is equal to 6 (V2.9.12 = 6). 2. In order to calculate the n-th root of a number, you should call the pow function, located in the cmath library. Your two versions 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: The geometric mean is: 1.8171 b) Keep reading the numbers until -1 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 -1: The geometric mean is: 1.8171