## Problem U. Circular Area ≡

• problems
 Author: Far-Eastern Subregional Time limit: 3 sec Input file: input.txt Memory limit: 8 Mb Output file: output.txt

### Statement

Your task is to write a program, which, given two circles, calculates the area of their intersection with the accuracy of two digits after decimal point.

### Input file format

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.

### Output file format

The output file must contain single real number — the area.

### Sample tests

No. Input file (input.txt) Output file (output.txt)
1
20.0 30.0 15.0 40.0 30.0 30.0
608.37

0.110s 0.013s 13