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).
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 blines 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.
For each test case, print a single line, the volume occupied by at least one of them, rounded to three decimal points.
1 1 0 0 4 1 0 4 0 1 4 0 0 5 0 0 0 1 0 0
4.356
Tips：
請對本次比賽進行一些描述，公告內(nèi)容應當包含：
比賽的創(chuàng)辦者或組織；
本次比賽的目的或意義；
本次比賽的考點、語言或類型；或其他注意事項及描述等。
至少保證30個漢字長度。