Sakuru Sankakkei

Shawon and Tarek are very good friends. One day Shawon gives his friend Tarek a geometry problem. Tareq is very good at geometry and he solved the problem easily.

Shawon will be very happy if you solve this problem too. Can you solve this problem?

You are given a circle with radius $R$. Inside the circle there is an equilateral triangle $ABC$. There is another equilateral triangle $DEF$ where $F$ is the midpoint of side $BC$. You have to find out the area of the triangle $DEF$. For better understanding, see the picture above.

Input

Input starts with an integer $T$ ($1 ≤ T ≤ 10^{3}$) denoting the number of test cases. Each case contains one integer $R$ ($1 ≤ R ≤ 10^{5}$), radius of the circle.

Output

For each case of input, print the case number and then print the area of the triangle $DEF$. Print the answer with exactly 2 digits after the decimal point.

Sample

Input	Output
2 10 12	12.40 17.86