[Gym-101512C] 凸包+最远点对

#include<bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define pii pair<int,int>
#define C 0.5772156649
#define pi acos(-1.0)
#define ll long long
#define mod 1000000007
#define ls l,m,rt<<1
#define rs m+1,r,rt<<1|1

using namespace std;

const double g=10.0,eps=1e-7;
const int N=1000+10,maxn=60000+10,inf=0x3f3f3f;

void debug(){cout<<-1<<endl;}

struct point{
ll x,y;
};
point p
,s
;
int top,n;
ll dir(point p1,point p2,point p3)
{
return (p3.x-p1.x)*(p2.y-p1.y)-(p3.y-p1.y)*(p2.x-p1.x);
}
ll dis(point a,point b)
{
return (a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y);
}
ll area(point p1,point p2,point p3)
{
return fabs(dir(p1,p2,p3));
}
bool comp(point a,point b)
{
ll te=dir(p[0],a,b);
if(te<0)return 1;
if(te==0&&dis(p[0],a)<dis(p[0],b))return 1;
return 0;
}
void graham()
{
int pos,minx,miny;
minx=miny=inf;
for(int i=0;i<n;i++)
{
if(p[i].x<minx||(p[i].x==minx&&p[i].y<miny))
{
minx=p[i].x;
miny=p[i].y;
pos=i;
}
}
swap(p[0],p[pos]);
sort(p+1,p+n,comp);
p
=p[0];
s[0]=p[0],s[1]=p[1],s[2]=p[2];
top=2;
for(int i=3;i<=n;i++)
{
while(dir(s[top-1],s[top],p[i])>=0&&top>=2)top--;
s[++top]=p[i];
}
//cout<<top<<endl;
if(top==3)
{
cout<<area(s[0],s[1],s[2])/2;
if(area(s[0],s[1],s[2])&1)cout<<".5";
cout<<endl;
return ;
}
else if(top<3)
{
cout<<0<<endl;
return ;
}
/* for(int i=0;i<top;i++)
cout<<s[i].x<<" "<<s[i].y<<endl;*/
ll ans=0;
for(int i=0;i<top;i++)
{
int j,a1=(i+1)%top,a2=(i+3)%top;
for(j=(i+2)%top;j!=i;j=(j+1)%top)
{
while(a1!=j&&area(s[(a1+1)%top],s[i],s[j])>=area(s[a1],s[i],s[j]))a1=(a1+1)%top;
while(a2!=i&&area(s[(a2+1)%top],s[i],s[j])>=area(s[a2],s[i],s[j]))a2=(a2+1)%top;
ans=max(ans,area(s[a1],s[i],s[j])+area(s[a2],s[i],s[j]));
}
}
cout<<ans/2;
if(ans&1)cout<<".5";
cout<<endl;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cout<<setiosflags(ios::fixed)<<setprecision(1);
int t;
cin>>t;
while(t--)
{
cin>>n;
for(int i=0;i<n;i++)cin>>p[i].x>>p[i].y;
graham();
}
return 0;
}
/********************
3
6
0 0
3 7
10 0
11 6
0 10
10 10
5
0 0
-2 -2
3 -2
0 1
0 3
10
3 1
4 1
5 9
2 6
5 3
5 8
9 7
9 3
2 3
8 4
********************/