Omar want to examine Mostafa in math, Mostafa asked to give G(n) that defined as:

while:

Mostafa need your help to find G(n) (n : given integer)

assume that : F(1) = 8, F(2) = 8;

Input

T number of test cases in the first line, T line follow with an integer n.

Output

Print G(n) for each test case with 8 decimal digits after the point (0 < G(n) < 3)

Example

Input:
3
5
7
42

Output:
2.20000000
2.14285714
2.02380952

Constraints

T < 10^4
2 < n < 10^9