7108번 - Billiards 다국어

The sides of a right-angled field of size 47*73 centimeters are labeled using letters A,R,Z,D. A small ball B (its size can be ignored) is placed inside this field 13 centimeters away from the side R and 29 centimeters from the side D (see pic.3). A player places his cue on the side R at a point that is located k centimeters from the side D and straightly hits the ball B. The ball continues its movements in a straight line and, if necessary, hits the sides of the field. The deflection occurs according to the laws of physics, that is, in directions making equal angles with a line perpendicular to the reflecting side. The starting fragment of the movement of the ball is shown in pic.4.

Your task is to write a program that for the given integer numbers k(0 ≤ k ≤ 73) un n(0 ≤ n < 10⁹) would output the distance of the ball to the side R(B_R) and side D (B_D) after the ball has moved exactly n centimeters. The values B_R and B_D must be output as real numbers rounded to the nearest one thousandth of a centimeter.

Pic. 3

Pic. 4