using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static string[] SList(long n) => Enumerable.Repeat(0, (int)n).Select(_ => ReadLine()).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var n = NN;
        var s = SList(n);
        var lists = new List<(int id, int len)>[n];
        for (var i = 0; i < n; ++i) lists[i] = new List<(int id, int len)>();
        for (var i = 0; i < n; ++i) for (var j = i + 1; j < n; ++j)
        {
            var len = Math.Min(s[i].Length, s[j].Length) + 1;
            for (var k = 0; k < s[i].Length && k < s[j].Length; ++k)
            {
                if (s[i][k] != s[j][k])
                {
                    len = k + 1;
                    break;
                }
            }
            lists[i].Add((j, len));
            lists[j].Add((i, len));
        }
        for (var i = 0; i < n; ++i) lists[i].Sort((l, r) => l.len.CompareTo(r.len));
        var bitmax = 1 << n;
        var dp = new long[bitmax];
        var mod = 1_000_000_007;
        var mul = new long[n];
        mul[0] = 1;
        for (var i = 1; i < n; ++i) mul[i] = mul[i - 1] * i % mod;
        var ans = new long[n];
        for (var b = 0; b < bitmax; ++b)
        {
            var pc = Popcount(b);
            if (pc > 0) ans[pc - 1] = (ans[pc - 1] + dp[b]) % mod;
            for (var i = 0; i < n; ++i)
            {
                var next = b | (1 << i);
                if (b == next) continue;
                var len = 1;
                for (var j = lists[i].Count - 1; j >= 0; --j)
                {
                    if (b != (b | (1 << lists[i][j].id)))
                    {
                        len = lists[i][j].len;
                        break;
                    }
                }
                dp[next] = (dp[next] + dp[b] + len * mul[pc]) % mod;
            }
        }
        WriteLine(string.Join("\n", ans));
    }
    static int Popcount(long n)
    {
        var c = (n & 0x5555555555555555) + ((n>>1) & 0x5555555555555555);
        c = (c & 0x3333333333333333) + ((c>>2) & 0x3333333333333333);
        c = (c & 0x0f0f0f0f0f0f0f0f) + ((c>>4) & 0x0f0f0f0f0f0f0f0f);
        c = (c & 0x00ff00ff00ff00ff) + ((c>>8) & 0x00ff00ff00ff00ff);
        c = (c & 0x0000ffff0000ffff) + ((c>>16) & 0x0000ffff0000ffff);
        c = (c & 0x00000000ffffffff) + ((c>>32) & 0x00000000ffffffff);
        return (int)c;
    }
}