Billiards

A rectangular billiard table measures $47 \times 73$ centimeters. Its four sides are labeled $A$, $R$, $Z$, $D$; sides $R$ and $D$ are the two sides that meet at a corner, so they are perpendicular to each other. A small ball $B$, whose size may be ignored, rests inside the table exactly $13$ centimeters from side $R$ and $29$ centimeters from side $D$ (see Pic. 3).

A player rests the cue on side $R$ at the point that is $k$ centimeters from side $D$ and strikes ball $B$ head-on. The ball then travels in a straight line, starting at $B$ and heading directly away from the point where the cue touched side $R$. Whenever the ball reaches a side of the table it bounces off; the bounce is a perfect reflection, leaving and arriving at equal angles to the line perpendicular to that side. The first part of the ball's path is shown in Pic. 4.

Write a program that, given the integers $k$ ($0 \le k \le 73$) and $n$ ($0 \le n < 10^9$), reports the ball's distance from side $R$ (denoted $BR$) and from side $D$ (denoted $BD$) after it has travelled exactly $n$ centimeters. Output $BR$ and $BD$ as real numbers, each rounded to the nearest thousandth of a centimeter.

Pic. 3

Pic. 4

Input

A single line containing two integers $k$ and $n$ ($0 \le k \le 73$, $0 \le n < 10^9$).

Output

Print $BR$ and $BD$ on one line, separated by a single space, each rounded to exactly three decimal places.