Problem Statement

There is a marron cake in the shape of a circle of radius $R$ centered at the origin of the $xy$-plane.

Cut this marron cake along $K$ straight lines parallel to the $x$-axis, dividing it into $K+1$ pieces of equal area.

The equations of the $K$ lines can all be written in the form $y=l$ using a real number $l$. Find all such values of $l$ and output them in ascending order.

It can be proven that exactly $1$ answer exists.

Constraints

• All input values are integers.
• $1 \leq R \leq 10^5$
• $1 \leq K \leq 10^5$

Input

The input is given from standard input in the following format.

$R$ $K$

Output

Output $K$ lines. On the $i$-th line, output the $i$-th smallest of the answer values.

Your answer is considered correct if the absolute or relative error from the true value is at most $10^{-5}$.

Sample

1 2

-0.2649320846028
0.2649320846028

100 1

0

16 5

-8.852683396809
-4.238913353644
0
4.238913353644
8.852683396809