#P1920. Series Sum Calculation

    ID: 15202 Type: Default 1000ms 256MiB

Series Sum Calculation

Series Sum Calculation

Void_rank mistakenly grabbed a high school mathematics magazine titled "Success Code" instead of his intended magazine and now faces a peculiar mathematical challenge. Your task is to help him solve the following series:

\[ S = \sum_{i=1}^{N}\frac{x^{i}}{i} \]

Given two numbers, N (an integer) and x (a real number), compute the value of the series up to the N-th term.

inputFormat

The input consists of a single line containing two values separated by space: an integer N (the number of terms) and a real number x.

outputFormat

Output a single line containing the computed sum of the series. The output should be formatted to 6 decimal places.

sample

1 2
2.000000