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凸包300ms水过~#include <iostream>
#include <algorithm>
#include <string>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
using namespace std;
#define PI 3.14159265
struct point
{
double x, y, angel;
}p[50005], ch[50005];
double dist (point a, point b)
{
return sqrt ((a.x-b.x)*(a.x-b.x) + (a.y-b.y)*(a.y-b.y));
}
double multi (point a, point b, point c)//差乘
{
double x1, y1, x2, y2;
x1 = b.x - a.x;
y1 = b.y - a.y;
x2 = c.x - b.x;
y2 = c.y - b.y;
return x1*y2 - x2*y1;
}
bool cmp (point a, point b)
{
if (a.y == b.y)
return a.x < b.x;
return a.y < b.y;
}
bool cmp2 (point a, point b)
{
if (a.angel == b.angel)
{
if (a.x == b.x)
return a.y > b.y;
return a.x > b.x;
}
return a.angel < b.angel;
}
int main()
{
int n, i, top,tp1,tp2;
double r, len=-1.0;
while (scanf ("%d", &n)!=EOF)
{
for (i = 0; i < n; i++)
scanf ("%lf%lf", &p[i].x, &p[i].y);
sort (p, p+n, cmp); //找到左下角的p[0]
//找相对于p[0]的极角,并把除了p[0]以外的点按照极角排序
for (i = 1; i < n; i++)
p[i].angel = atan2 (p[i].y-p[0].y, p[i].x-p[0].x);
sort (p+1, p+n, cmp2);
//Graham_Scan算法
ch[0] = p[0], ch[1] = p[1], ch[2] = p[2];
top = 3;
for (i = 3; i < n; i++)
{
while (top > 2 && multi (ch[top-2], ch[top-1], p[i]) <= 0)
top--;
ch[top++] = p[i];
}
for(i=0;i<top;i++)
for(int j=i+1;j<top;j++)
{
double tis=dist(ch[i],ch[j]);
if(tis>len)
{
tp1=i;tp2=j;
len=tis;
}
}
len=(ch[tp1].x-ch[tp2].x)*(ch[tp1].x-ch[tp2].x) + (ch[tp1].y-ch[tp2].y)*(ch[tp1].y-ch[tp2].y);
int sp=(int)len;
printf ("%d\n",sp);
}
system("pause");
return 0;
}
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