Time Limit: 1 s
Memory Limit: 32 MB

Submission：721
AC：124
Score：92.99

Compute the intersection area of two circle.

There are multiple test cases, each test cases include two lines.

The first line includes four real numbers, x1, y1, x2, y2, denoting the center coordinate of two circles.

The second line includes two real numbers, r1, r2, they are radii of two circle.

When input “0 0 0 0”, your program should terminate and print “Over!”

x1, y1, x2, y2, r1, r2 are all smaller than 1000.

For each test case, output the answer (the intersection area), PI is 3.1415 and you should retain two decimal places.

input

1 1 0 0
0 1
0 0 0 1
1 2
0 0 0 0

output

0.00
3.14
Over!