Consider the unit circle, the circle with radius ~1~ centred at ~(0, 0)~. You will place ~N-1~ horizontal lines such that the circle is cut into ~N~ regions with equal areas.

Find the equations of all of the lines.

Constraints

~2 \le N \le 2 \times 10^5~

Input Specification

The only line contains an integer, ~N~.

Output Specification

Output ~N-1~ lines. The ~i~th line should contain a floating-point number ~c_i~ such that the ~i~th horizontal line has the equation ~y = c_i~. These numbers should be output in increasing order.

Your answer will be accepted if each value is within an absolute error of ~10^{-9}~.

Sample Input

3

Sample Output

-0.264932084
0.264932084