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