#include<iostream>
#include<iomanip>
#include<math.h>
#include<vector>
#include<algorithm>
#include<set>
#include<map>
#include<queue>
#include<stack>
#include<string>
#include<complex>
#include<random>
#include<time.h>

#define INF 1000000000ll
#define MOD 1000000007ll
#define EPS 1e-8

#define REP(i, m) for(long long i = 0; i < m; ++i)
#define FOR(i, n, m) for(long long i = n; i < m; ++i)
#define ALL(v) v.begin(), v.end()
#define pb push_back

using namespace std;
typedef long long ll;
typedef pair<ll, ll> P;
typedef long double ld;

ll fact(ll a) {
	if(a==0) return 1;
	else return (a*fact(a-1))%MOD;
}

int main() {
	ios::sync_with_stdio(false);
	int n;
	cin>>n;
	vector<string> s(n);
	REP(i,n) cin>>s[i];
	vector<ll> res(n,0);
	vector<vector<ll> > dp(n,vector<ll>(1<<n,0));
	vector<vector<int> > icchi(n,vector<int>(n,0));
	REP(i,n) {
		REP(j,n) {
			if(i==j) continue;
			int pos=0;
			while(pos<s[i].size()&&pos<s[j].size()&&s[i][pos]==s[j][pos]) ++pos;
			icchi[i][j]=pos;
		}
	}
	vector<vector<int> > kyori(n,vector<int>(1<<n,0));
	for(int i=(1<<n)-1; i>=0; --i) {
		vector<int> p;
		vector<int> q;
		int buf=i;
		REP(k,n) {
			if(buf%2==1) {
				p.pb(k);
			}
			else q.pb(k);
			buf/=2;
		}
		for(int j=0; j<p.size(); ++j) {
			if(i==(1<<n)-1) {
				kyori[p[j]][i]=0;
			} else {
				kyori[p[j]][i]=max(kyori[p[j]][i^(1<<q[0])],icchi[p[j]][q[0]]);
			}
		}
	}
	REP(j,1<<n) {
		vector<ll> p;
		vector<ll> q;
		ll buf=j;
		REP(k,n) {
			if(buf%2==1) {
				p.pb(k);
			}
			else q.pb(k);
			buf/=2;
		}
		REP(i,p.size()) {
			ll foo=kyori[p[i]][j];
			++foo;
			foo*=fact(p.size()-1);
			dp[i][j]=foo%MOD;
			res[p.size()-1]+=dp[i][j];
			res[p.size()-1]%=MOD;
		}
	}
	REP(i,n) {
		if(i!=0) {
			res[i]=(res[i-1]*(n-i))%MOD+res[i];
			res[i]%=MOD;
			cout<<res[i]%MOD<<endl;
		}
		else cout<<res[i]%MOD<<endl;
	}
}