Projection
Time Limit : 1 Second
Memory Limit : 128 MB
Submission: 7
Solved: 3
- Description
- Give two segments AB and CD in 3D space, if I choose a plane arbitrarily, what is the probability that the projection of the above two segments on that plane intersects?
- Input
- The input contains multiple cases each containing only one line.
XA YA ZA XB YB ZB XC YC ZC XD YD ZD
——the coordinates of end points.
All values are integers in [-100, 100].
It is guaranteed that AB and CD have no common points. - Output
- For each case output the probability mentioned, accurate to five digits after the dot.
- sample input
-
0 -100 0 0 100 0 -100 0 1 100 0 1 0 -1 0 0 1 0 -1 0 1 1 0 1 0 -10 0 0 10 0 -10 0 100 10 0 100
- sample output
-
0.99100 0.33333 0.00630
- hint
- Don’t output -0.00000.
- source
- Hust Monthly 10.06.13/Han XU