There is a rectangle on the cartesian plane, with bottom-left corner at (0,0) and top-right corner at (L, W ). There is a ball centered at (x, y), with radius=R, shown below At time 0, the ball starts to move along a ray with polar angle a (the angle from positive x-axis to the ray, rotating counter-clockwise). When hitting the rectangle boundary, the reflex angle always equals to the incidence angle. The ball’s velocity is always v (i.e. it never changes when hitting the rectangle). Where is the center of the ball at time s? Input There will be at most 25 test cases, each contains a line with 8 integers L,W ,x,y,R,a,v,s (100 ≤ L,W ≤ 109,1≤R≤5,R≤x≤L−R,R≤y≤W−R,0≤a<360,1≤v,s≤109),asstatedabove. The inputterminateswithL=W =x=y=R=a=v=s=0,whichshouldnotbeprocessed. Output For each test case, output a line containing two floating-point numbers x, y, rounded to two decimal points, indicating that the center of ball will be at (x, y) at time s. Sample Input 100 100 80 10 5 90 2 23 110 100 70 10 5 180 1 9999 00000000 Sample Output 80.00 56.00 71.00 10.00