1056 : Tetrahedrons and Spheres
- 时间限制Time Limit
- 1 秒Sec
- 内存限制Memory Limit
- 128 兆MB
- 提交次数Submitted
- 2 次Times
- 通过次数Solved
- 2 次Times
| 比对Compare | token 相同即通过。中间的空格、制表符、换行可多可少。Matching tokens pass. Extra spaces, tabs, or newlines between them are ignored. |
|---|---|
| 不同则错Differs | token 个数或内容不同即错误。23 与 2 3、02 与 2、2.0 与 2 均视为不同。A different token count or value is wrong. 23 vs 2 3, 02 vs 2, and 2.0 vs 2 all differ. |
| 输入Input | 标准输入,格式见题面。Standard input; format as in the statement. |
| 输出Output | 标准输出。Standard output. |
| 时间与内存Time and memory | 记这一份程序的 CPU 时间和内存峰值。题目上的时间限制、内存限制就是这一份的上限。The record is this program’s CPU time and peak memory. The limits on the problem apply to this one run. |
题目描述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).
输入格式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.
输出格式Output
For each test case, print a single line, the volume occupied by at least one of them, rounded to three decimal points.
样例Sample
出题Author
SRbGa