#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const ll MOD = ll(1e9 + 7);
int N;
int com[20][20];
ll dp[1 << 20];
ll cnt[1 << 20];
string s[20];
ll ans[21];

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);

	cin >> N;
	for(int i = 0; i < N; i++) {
		cin >> s[i];
	}
	for(int i = 0; i < N; i++) {
		for(int j = 0; j < N; j++) {
			if(i == j) continue;
			for(int k = 0; k < min(s[i].size(), s[j].size()); k++) {
				if(s[i][k] != s[j][k]) break;
				com[i][j]++;
			}
		}
	}

	cnt[0] = 1;
	for(int i = 0; i < 1 << N; i++) {
		int num = 0;
		for(int j = 0; j < N; j++) {
			if(i >> j & 1) num++;
		}
		for(int j = 0; j < N; j++) {
			if(i >> j & 1) continue;
			int h = 0;
			for(int k = 0; k < N; k++) {
				if(i >> k & 1) continue;
				h = max(h, com[j][k] + 1);
			}
			dp[i | (1 << j)] += dp[i] + cnt[i] * h;
			dp[i | (1 << j)] % MOD;
			cnt[i | (1 << j)] += cnt[i];
			cnt[i | (1 << j)] % MOD;

			ans[num + 1] += dp[i] + cnt[i] * h;
			ans[num + 1] %= MOD;
		}
	}
	for(int i = 1; i <= N; i++) {
		cout << ans[i] << endl;
	}
}