# Pie chart

In many fields, graphs and charts are used to visually represent the relationships between different quantities. One such chart is the pie chart.

To create a pie chart, you start with a set of numbers (a_1, ..., a_n), and a circle with a radius (r). This circle is divided into sectors, where each sector corresponds to one of the numbers. The area of each sector is proportional to its corresponding number, and the sum of all the sector areas equals the area of the circle.

Your task is to calculate the area of each sector in the pie chart, given the set of numbers and the circle's radius.

## Input

The first line of input contains two integers (n) and (r) ((1 $≤$ n, r $≤$ 100)). The second line contains (n) integers (a_1, ..., a_n) ((1 $≤$ a_i $≤$ 100) for all (i) from (1) to (n)).

## Output

Output (n) real numbers, each representing the area of a sector corresponding to the numbers (a_1, ..., a_n). Print each number on a separate line with a precision of at least (10^-6).