Problem2184--Tetrahedrons and Spheres

### 2184: Tetrahedrons and Spheres

[Creator : ]
Time Limit : 1.000 sec  Memory Limit : 128 MB

#### Description

There are a tetrahedrons and b spheres in the 3D-splace, you’re asked to calculate the volume occupied by at least one of them (i.e. volume of the union of the objects).

# Input

There will be at most 20 test cases. Each case begins with two integers a, b, the number of tetrahedrons and the number of spheres (1<=a,b<=5). The next a lines each contains 12 integers: x1, y1, z1, x2, y2, z2, x3, y3, z3, x4, y4, z4, the coordinates (xi, yi, zi)(1<=i<=4) of the four vertices  of a tetrahedron. The next b lines each contains 4 integers x, y, z, r, the coordinates of the center (x, y, z) and the radius r (r<=3). All the coordinate values are integers with absolute values no more than 5. The input is terminated by a=b=0.

# Output

For each test case, print a single line, the volume occupied by at least one of them, rounded to three decimal points.

#### Sample Input Copy

1 1
0 0 4 1 0 4 0 1 4 0 0 5
0 0 0 1
0 0

4.356