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

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var n = NN;
        var map = NArr(n);
        var list = new List<int>(n);
        for (var i = 0; i < n; ++i) list.Add(i);
        var memo = new Dictionary<int, long[]>();
        var ans = Rep(n, map, list, memo);
        WriteLine(string.Join("\n", ans));
    }
    static long[] Rep(int n, int[][] map, List<int> list, Dictionary<int, long[]> memo)
    {
        var key = Key(list);
        if (memo.ContainsKey(key)) return memo[key];
        var ans = new long[n];
        if (list.Count == 1)
        {
            ans[list[0]] = 1;
        }
        else
        {
            foreach (var ncr in NCRList(list.Count - 1, list.Count / 2 - 1))
            {
                var a = new List<int>();
                var b = new List<int>();
                a.Add(list[0]);
                var pos = 0;
                for (var i = 0; i + 1 < list.Count; ++i)
                {
                    if (pos < ncr.Length && ncr[pos] == i)
                    {
                        a.Add(list[i + 1]);
                        ++pos;
                    }
                    else
                    {
                        b.Add(list[i + 1]);
                    }
                }
                var am = Rep(n, map, a, memo);
                var bm = Rep(n, map, b, memo);
                for (var i = 0; i < n; ++i) for (var j = 0; j < n; ++j)
                {
                    if (i == j) continue;
                    if (map[i][j] == 1) ans[i] += am[i] * bm[j] * 2;
                    else ans[j] += am[i] * bm[j] * 2;
                }
            }
        }
        memo[key] = ans;
        return ans;
    }
    static List<int[]> NCRList(int n, int r)
    {
        var res = new List<int[]>();
        _NCRList(n, r, new List<int>(), res);
        return res;
    }
    static void _NCRList(int n, int r, List<int> list, List<int[]> res)
    {
        if (list.Count == r) res.Add(list.ToArray());
        for (var i = list.Count == 0 ? 0 : (list.Last() + 1); i < n; ++i)
        {
            list.Add(i);
            _NCRList(n, r, list, res);
            list.RemoveAt(list.Count - 1);
        }
    }
    static int Key(List<int> set)
    {
        var ans = 0;
        foreach (var si in set) ans += 1 << si;
        return ans;
    }
}