Question

Output

Print a real number representing the area of intersection of two circles rounded up to 6

decimal places.

Constraints

0 < radius, radius 104

Example

Input:

0

0

2

3

0

2

Output:

1.813247

Explanation:

First circle has center coordinates as (0,0) and

radius 2.

Second circle has center coordinates as (3, 0)

and radius 2.

The area of intersection of two circles is

1.813247.​

Answer 1

Answer:

3

0

2

Output:

1.813247

Explanation:

First circle has center coordinates

Explanation:

3

0

2

Output:

1.813247

Explanation:

First circle has center coordinates as (0,0) and

radius 2.

Second circle has center coordinates as (3, 0)

and radius 2.

The area of intersection of two circles is

1.813247.