## MTRIAREA - Maximum Triangle Area

English | Vietnamese |

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.

### Input

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 3 4 2 6 2 7 5 2 6 3 9 2 0 8 0 6 5 -1

### Output

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 0.50 27.00

Added by: | psetter |

Date: | 2009-02-23 |

Time limit: | 1s |

Source limit: | 50000B |

Memory limit: | 1536MB |

Cluster: | Cube (Intel G860) |

Languages: | All except: ERL JS-RHINO PERL6 |

Resource: | Pre Shanghai 2004 |