MTRIAREA - Maximum Triangle Area

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Given n distinct points on a plane, your task is to find the triangle that have the maximum area, whose vertices are from the given points.


The input consists of several test cases. The first line of each test case contains an integer n, indicating the number of points on the plane. Each of the following n lines contains two integer xi and yi, indicating the ith points. The last line of the input is an integer −1, indicating the end of input, which should not be processed. You may assume that 1 ≤ n ≤ 50000 and −10^4 ≤ xi, yi ≤ 10^4 for all i = 1 . . . n.

Sample Input
3 4
2 6
2 7
2 6
3 9
2 0
8 0
6 5


For each test case, print a line containing the maximum area, which contains two digits after the decimal point. You may assume that there is always an answer which is greater than zero.

Sample output

Added by:psetter
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO PERL6
Resource:Pre Shanghai 2004