Given a side of the largest regular hexagon that is inscribed in a circle. Find the area inside the circle excluding the hexagon.
A Regular hexagon is a hexagon with equal sides. In the above picture side AB = BC = CD = DE = EF = FA
Note that, Value of π (PI) = acos(-1)).
The first line of the input consists of one integer T (1 <= T <= 100). Then T lines will follow. Each line will consist only one integer A (1 <= A <= 10000), the length of a side of the largest regular hexagon that can be inscribed in a circle.
The output consists of only one value, the area inside the circle excluding the hexagon. Print the answer up to 5 decimal places.
5 1 10 100 1000 10000
0.54352 54.35164 5435.16442 543516.44224 54351644.22365