code
#include <bits/stdc++.h>
using namespace std;
double dp[1<<16][25];
double w[25][25];
int n;
double ans=0x7f7f7f7f;
struct node
{
double x,y;
}c[25];
double d(double xa,double xb,double ya,double yb)
{
double tmp=(xa-xb)*(xa-xb);
double temp=(ya-yb)*(ya-yb);
return double(sqrt(tmp+temp));
}
int main()
{
memset(dp,127,sizeof dp);
scanf("%d",&n);
for(int i=2;i<=n+1;i++)
scanf("%lf%lf",&c[i].x,&c[i].y);
n++;
c[1]={0,0};
for(int i=1;i<=n;i++)
for(int j=i+1;j<=n;j++)
w[i][j]=w[j][i]=d(c[i].x,c[j].x,c[i].y,c[j].y);
for(int i=1;i<=n;i++)
dp[i][1<<i-1]=w[1][i];
for(int s=1;s<(1<<n);s++)
for(int j=1;j<=n;j++)
{
if(!(s&(1<<j-1)))
continue;
for(int k=1;k<=n;k++)
{
if(j==k)
continue;
if(!(s&(1<<k-1)))
continue;
dp[s][j]=min(dp[s][j],dp[s^(1<<j-1)][k]+w[k][j]);
}
}
for(int i=2;i<=n;i++)
ans=min(ans,dp[(1<<n)-1][i]);
printf("%.2lf\n",ans);
return 0;
}