import math def main(): import sys input = sys.stdin.read().split() idx = 0 xa = float(input[idx]) ya = float(input[idx+1]) theta_a_deg = float(input[idx+2]) idx +=3 x11 = float(input[idx]) y11 = float(input[idx+1]) idx +=2 x12 = float(input[idx]) y12 = float(input[idx+1]) idx +=2 x21 = float(input[idx]) y21 = float(input[idx+1]) idx +=2 x22 = float(input[idx]) y22 = float(input[idx+1]) idx +=2 # Step 1: compute a, b, dx, dy a = x22 - x21 b = y22 - y21 dx = x12 - x11 dy = y12 - y11 # Step 2: compute denominator denominator = a**2 + b**2 if abs(denominator) < 1e-9: # This case is impossible per problem constraints print("0 0 0") return # Step 3: compute cosD and sinD cosD = (a*dx + b*dy) / denominator sinD = (b*dx - a*dy) / denominator # Step 4: compute D_rad D_rad = math.atan2(sinD, cosD) # Step 5: compute xb and yb using post1 xb = x11 - ( (x21 - xa) * cosD + (y21 - ya) * sinD ) yb = y11 + ( (x21 - xa) * sinD - (y21 - ya) * cosD ) # Compute theta_b theta_a_rad = math.radians(theta_a_deg) theta_b_rad = theta_a_rad - D_rad theta_b_deg = math.degrees(theta_b_rad) # Normalize theta_b_deg to [0, 360) if required, but per problem statement, it's optional print(f"{xb:.10f} {yb:.10f} {theta_b_deg:.10f}") if __name__ == "__main__": main()