这是一道神子集dp……ref1,ref2,ref3
#include <iostream>
#include <cstdio>
using namespace std;
int n, c[19][19], g[66005], f[66005];
typedef long long ll;
const int mod=1000000007;
int main(){
cin>>n;
for(int i=1; i<=n; i++)
for(int j=1; j<=n; j++)
scanf("%d", &c[i][j]);
for(int i=0; i<(1<<n); i++){
g[i] = 1;
for(int j=1; j<=n; j++)
if(i&(1<<(j-1)))
for(int k=j+1; k<=n; k++)
if(i&(1<<(k-1)))
g[i] = (ll)g[i] * (1 + c[j][k]) % mod;
}
for(int i=0; i<(1<<n); i++){
int S=i^(i&-i);
for(int j=S; j; j=(j-1)&S)
f[i] = (f[i] + (ll)g[j]*f[i^j]%mod) % mod;
f[i] = (g[i] - f[i] + mod) % mod;
}
cout<<f[(1<<n)-1]<<endl;
return 0;
}