145 lines
3.2 KiB
C++
145 lines
3.2 KiB
C++
#include<cstdio>
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#include<cstring>
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#include<iostream>
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#include<utility>
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#include<string>
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#include<set>
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#include<vector>
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#include<stack>
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#include<algorithm>
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#include<queue>
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#include<cstdlib>
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#include<map>
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#include<cmath>
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using namespace std;
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#define FOR(i,a,b) for(int i(a);i<(b);i++)
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#define REP(i,n) FOR(i,0,n)
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#define CL(a,b) memset(a,b,sizeof(a))
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const int M=200;
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const int N=2000;
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const double inf=1e250;
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const double eps=1e-20;
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const double pi=acos(-1.0);
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struct point
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{
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double x,y;
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bool operator < (const point a)const
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{
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if(y==a.y)
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return x<a.x;
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return y<a.y;
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}
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}p[M],stac[M];
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int n,top;
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int xmult(double x1,double y1,double x2,double y2)
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{
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return x1*y2-x2*y1;
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}
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int cross(point p0,point p1,point p2)
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{
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double x1=p1.x-p0.x,y1=p1.y-p0.y;
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double x2=p2.x-p0.x,y2=p2.y-p0.y;
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return xmult(x1,y1,x2,y2);
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}
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void covex_hull()
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{
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sort(p,p+n);
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stac[0]=p[0];
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stac[1]=p[1];
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top=1;
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for(int i=2;i<n;i++)
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{
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while(top>0 && cross(stac[top],p[i],stac[top-1])<=0)
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top--;
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stac[++top]=p[i];
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}
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int temp=top;
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for(int i=n-2;i>=0;i--)
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{
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while(top>temp && cross(stac[top],p[i],stac[top-1])<=0)
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top--;
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stac[++top]=p[i];
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}
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--top;
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}
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point getpoint(double x,double y)
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{
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point temp;
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temp.x=x;temp.y=y;
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return temp;
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}
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double dist(point a,point b)
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{
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return sqrt((b.x-a.x)*(b.x-a.x)*1.0+(b.y-a.y)*(b.y-a.y));
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}
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double alldis(point a)
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{
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double dis=0;
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for(int i=0;i<=top;i++)
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{
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dis+=dist(a,stac[i]);
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}
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return dis;
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}
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int main()
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{
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int T;
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scanf("%d",&T);
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while(T--)
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{
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scanf("%d",&n);
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for(int i=0;i<n;i++)
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scanf("%lf%lf",&p[i].x,&p[i].y);
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covex_hull();
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point pp=stac[0];
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double ans=inf,step=100;
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ans=alldis(pp);
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while(step>0.2)
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{
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bool flag=true;
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while(flag)
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{
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flag=false;
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point qq=getpoint(pp.x,pp.y+step),tt=pp;
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double temp=alldis(qq);
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if(temp<ans)
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{
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ans=temp;
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tt=qq;
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flag=true;
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}
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qq=getpoint(pp.x,pp.y-step);
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temp=alldis(qq);
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if(temp<ans)
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{
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ans=temp;
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tt=qq;
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flag=true;
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}
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qq=getpoint(pp.x+step,pp.y);
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temp=alldis(qq);
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if(temp<ans)
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{
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ans=temp;
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tt=qq;
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flag=true;
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}
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qq=getpoint(pp.x-step,pp.y);
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temp=alldis(qq);
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if(temp<ans)
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{
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ans=temp;
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tt=qq;
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flag=true;
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}
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pp=tt;
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}
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step=step/2.0;
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}
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int dis=(int)(ans+0.5)*100/100;
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printf("%d\n",dis);
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if(T>0) puts("");
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}
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return 0;
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}
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