#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000001

int n;
vector<string> s;



int main(){
	
	cin>>n;
	s.resize(n,"");
	rep(i,n){
		rep(j,n){
			int t;
			cin>>t;
			s[i] += '0'+t;
		}
	}
	
	vector<long long> ans(n,0);
	rep(i,n){
		vector<long long> dp(1<<n,0);
		dp[1<<i] = 1;
		long long c = 1LL;
		while(c!=n){
			rep(j,dp.size()){
				if(__builtin_popcount(j)!=c)continue;
				vector<int> x,y;
				rep(k,n){
					if((j>>k)&1)x.push_back(k);
					else y.push_back(k);
				}
				vector<long long> ddp(1<<y.size(),0);
				ddp[0] = 1;
				rep(k,x.size()){
					vector<long long> ndp(1<<y.size(),0);
					rep(l,ddp.size()){
						if(ddp[l]==0)continue;
						//cout<<k<<','<<x[k]<<','<<l<<','<<ddp[l]<<endl;
						rep(ll,y.size()){
							if((l>>ll)&1)continue;
							if(s[x[k]][y[ll]]=='0')continue;
							//cout<<(l|(1<<ll))<<','<<ddp[l]<<endl;
							ndp[l | (1<<ll)] += ddp[l];
						}
					}
					swap(ddp,ndp);
				}
				rep(k,ddp.size()){
					if(ddp[k]==0)continue;
					int T  =0;
					rep(l,y.size()){
						if((k>>l)&1)T |= 1<<y[l];
					}
					//cout<<j<<','<<T<<endl;
					dp[T|j] += dp[j] * ddp[k];
				}
				//dp[j] = 0;
			}
			c*=2;
			/*
			rep(j,dp.size()){
				cout<<dp[j]<<',';
			}
			cout<<endl;
			*/
		}
		ans[i] += dp.back();
		//ans[i] += dp.back();
	}
	
	rep(i,n)ans[i] *= 1LL<<(n-1);
	
	rep(i,n){
		cout<<ans[i]<<endl;
	}
	
    return 0;
}