Nth Term of a Geometric Progression

You are given the first two terms of a geometric progression (GP) and a positive integer N. The task is to compute the Nth term of the GP. In a geometric progression, each term after the first is found by multiplying the previous term by a constant value known as the common ratio. Formally, the Nth term is given by:

$$a_N = a_1 \times r^{N-1}$$

where $$r = \frac{G2}{G1}$$, G1 is the first term, and G2 is the second term. Your program should read the three inputs from stdin and output the nth term to stdout.

inputFormat

The input consists of a single line containing three space-separated numbers: G1, G2 and N. Here, G1 and G2 are the first two terms of the geometric progression, and N (an integer) represents the position of the term to be calculated.

outputFormat

Output the Nth term of the geometric progression. If the result is an integer, print it without any decimal places.## sample

2 6 3

18