利用旋转卡壳
参考博客http://www.cppblog.com/staryjy/archive/2010/09/25/101412.html
#include <iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<stdlib.h>
#include<vector>
#include<cmath>
#include<queue>
#include<set>
using namespace std;
#define N 50010
#define LL long long
#define INF 0xfffffff
const double eps = 1e-;
const double pi = acos(-1.0);
const double inf = ~0u>>;
struct point
{
int x,y;
point(int x=,int y = ):x(x),y(y){}
}p[N],ch[N];
typedef point pointt;
pointt operator - (point a,point b)
{
return point(a.x-b.x,a.y-b.y);
}
int dcmp(double x)
{
if(fabs(x)<eps) return ;
return x<?-:;
}
double cross(point a,point b)
{
return 1.0*a.x*b.y-a.y*b.x;
}
double mul(point p0,point p1,point p2)
{
return cross(p1-p0,p2-p0);
}
int dis(point a)
{
return a.x*a.x+a.y*a.y;
}
bool cmp(point a,point b)
{
if(dcmp(mul(p[],a,b))==) return dis(a-p[])<dis(b-p[]);
return dcmp(mul(p[],a,b))>;
}
int graham(int n)
{
int i,k=,top;
point tmp;
for(i = ; i< n; i++)
{
if(p[i].y<p[k].y||(p[i].y==p[k].y&&p[i].x<p[k].x))
k = i;
}
if(k!=)
swap(p[],p[k]);
sort(p+,p+n,cmp);
ch[] = p[];
ch[] = p[];
top = ;
for(i = ; i < n; i++)
{
while(top>&&dcmp(mul(ch[top-],ch[top],p[i]))<=)
top--;
ch[++top] = p[i];
}
return top;
}
int rotating_calipers(int n)
{
int q = ;
int ans = ;
ch[n] = ch[];
for(int i = ; i < n; i++)
{
while(mul(ch[i+],ch[q+],ch[i])>mul(ch[i+],ch[q],ch[i]))
q = (q+)%n;
ans = max(ans,max(dis(ch[i]-ch[q]),dis(ch[i+]-ch[q+])));
}
return ans;
}
int main()
{
int n,i;
while(scanf("%d",&n)!=EOF)
{
for(i = ; i < n;i++)
scanf("%d%d",&p[i].x,&p[i].y);
int top = graham(n);
int ans = rotating_calipers(top+);
printf("%d\n",ans);
}
return ;
}