DWITE Online Computer Programming Contest
January 2008
Problem 1
Curve-shot

In a typical tactical shooting game, trajectory shots are fired from a base to a target. Given the angle of the aim and power of the shot, we are interested in the distance the projectile will travel.

crude trajectory diagram

Standard rules of physics apply. A shot is fired from the center of the base at the initial velocity specified, in meters per second. The angle determines the horizontal and vertical components of the velocity and is supplied in degrees. The target is on the same level as the base. Gravity supplies a constant downward acceleration of 9.81 meters per second squared. There is no wind or any friction.

The input file DATA1.txt will contain five lines, each in angle power format. The angle is in degrees, an integer 0 <= d <= 90. The power is in meter per second, an integer 0 <= p <= 100.

The output file OUT1.txt will contain five lines, each stating the expected distance, rounded to the nearest integer.

Sample Input:
10 100
25 100
40 100
60 100
85 100
		        
Sample Output:
349
781
1004
883
177