Pie chart#2501
In many areas, various graphs and charts are used to visually illustrate the proportions of different quantities. One such chart is the pie chart.
The initial data for a pie chart consists of a set of numbers a_1, \ldots, a_n, and a circle of radius divided into sectors. Each number corresponds to exactly one sector, and the area of that sector is proportional to the given number. The sum of the sectors' areas equals the area of the circle.
Your task is to determine the area of each sector of the pie chart, given the set of numbers and the circle's radius.
The first line contains two integers and (1 \leq n, r \leq 100). The second line contains integers a_1, \ldots, a_n (1 \leq a_i \leq 100 for all from to ).
Output real numbers, each representing the area of a sector corresponding to a_1, \ldots, a_n. Print each number on a separate line with a precision of at least 10^{-6}.
Example 1