The correct, optimal and working solution for programming question LCPC12E on spoj

from math import sqrt # Using Cosine rule for triangles # http://www.sparknotes.com/testprep/books/sat2/math2c/chapter9section9.rhtml def main(): t = input() i = 0 while i < t: i += 1 x1,y1,x2,y2,ac,l = map(float,raw_input().split()) #Distance between the two centres ab = sqrt(pow(x1-x2,2)+pow(y1-y2,2)) # Radius of the cricle by jhonny's empire bc = l/sqrt(2) cosa = (pow(ab,2)+pow(ac,2)-pow(bc,2))/(2*ab*ac) if cosa <= 1: ans = 2*ac*sqrt(1-pow(cosa,2)) print "%d. %.3f" % (i,ans) else: print "%d. No problem" % (i) if __name__ == '__main__': main()