P8039 - Triangles

内存限制：128 MB 时间限制：1 S 标准输入输出

题目类型：传统评测方式：文本比较上传者：

提交：27 通过：14

Farmer John would like to create a triangular pasture for his cows.

There are fence posts () at distinct points on the 2D map of his farm. He can choose three of them to form the vertices of the triangular pasture as long as one of the sides of the triangle is parallel to the -axis and another side is parallel to the -axis.

What is the maximum area of a pasture that Farmer John can form? It is guaranteed that at least one valid triangular pasture exists.

INPUT FORMAT (file triangles.in):

The first line of the input contains the integer N. Each of the next N lines contains two integers Xi and Yi, each in the range −104…104 inclusive, describing the location of a fence post.

OUTPUT FORMAT (file triangles.out):

As the area itself is not necessarily an integer, output two times the maximum area of a valid triangle formed by the fence posts.

SAMPLE INPUT:

SAMPLE OUTPUT:

Posts at , , and form a triangle of area . Thus, the answer is . There is only one other triangle, with area .

Problem credits: Travis Hance

USACO 2020 February Contest, Bronze

8039: Triangles

题目描述

INPUT FORMAT (file triangles.in):

OUTPUT FORMAT (file triangles.out):

SAMPLE INPUT:

SAMPLE OUTPUT:

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