F :: Circular Area
Time Limit: 1 Second Memory Limit: 32768 KB
Your task is to write a program, which, given two circles, calculates the area of their intersection with the accuracy of three digits after decimal point.
Input
In the single line of input file there are space-separated real numbers x1 y1 r1 x2 y2 r2. They represent center coordinates and radii of two circles.
Process to the end of input.
Output
The output file must contain single real number - the area.
Sample Input
20.0 30.0 15.0 40.0 30.0 30.0
Sample Output
608.366Submit
Source: Northeastern Europe 2000, Far-Eastern Subregion