#1591. [Usaco2008 Dec]Largest Fence 最大的围栏

题目描述

Farmer John has purchased N (5 <= N <= 250) fence posts in order to build a very nice-looking fence.

Everyone knows the best fences are convex polygons where fence posts form vertices of a polygon. Th

e pasture is represented as a rectilinear grid; fencepost i is at integer coordinates (x_i, y_i) (1

<= x_i <= 1,000; 1 <= y_i <= 1000). Given the locations of N fence posts (which, intriguingly, featu

re no set of three points which are collinear), what is the largest number of fence posts FJ can use

to create a fence that is convex? For test cases worth 45% of the points for this problem, N <= 65.

Farmer John

有n(5≤n≤250)个栅栏点，他需要围成一个栅栏圈，这个圈是一个凸包并且凸包上的点最多....

输入格式

Line 1: A single integer:

N * Lines 2..N+1: Line i+1 describes fence post i's location with two space- separated integers: x_i and y_i

输出格式

• Line 1: A single integer, the maximum possible number of fence posts that form a convex polygon.

样例

样例输入

6  

5 5  

2 3  

3 2  

1 5  

5 1  

1 1  

INPUT DETAILS:  

A square with two points inside.  

样例输出

5  

The largest convex polygon is the pentagon (2,3), (3,2), (5,1), (5,5), (1,5).

数据范围与提示