#include<iostream>
#include<cstdio>
#include<cmath>
#include<algorithm>
#include<queue>
#include<stack>
#include<cstring>
#include<vector>
using namespace std;
int n;
double ans;
double f[1<<16][20],x[20],y[20];
const double inf=1000000005;
inline int read() {
int ret=0,f=1;char ch=getchar();
while(ch<'0'||ch>'9') {if(ch=='-') f=-f;ch=getchar();}
while(ch>='0'&&ch<='9') {ret=(ret<<3)+(ret<<1)+ch-'0';ch=getchar();}
return ret*f;
}
int main() {
}
