PROGRAMMING:Altar

In the ancient city of Mindray, there stand n sacred stones. The elders deliberated and selected three sacred stones to form an altar. Because the energy intensity of the altar is inversely proportional to its area, the smaller the altar, the better. In particular, if two sacred stones have the same coordinates, or if three sacred stones share the same line, the area of the altar is' 0.000 '.
The elders found that the problem was not so simple, so they entrusted you with programming to solve the problem.
###Input format:
Enter a positive integer n (3 $$$Le $$n $$$Le $$5000) on the first line. Then n lines, each line has two integers, which respectively represent the abscissa and ordinate of Shenshi ($- 10 ^ 9, abscissa and ordinate $$< 10 ^ 9 $).
###Output format:
Output the minimum area of the altar in one line, round to 3 decimal places.
###Input example:
```in
eight
3 4
2 4
1 1
4 1
0 3
3 0
1 3
4 2
```
###Output example:
```out
zero point five zero zero
```
###Exemplar explanation
The output value is equal to the area of the triangle with the red or purple border in the figure.
**Thanks to Wu Taiwei of Zhejiang Normal University for adding test data**







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