#include <bits/stdc++.h>
using ll = long long;
constexpr int N = 16;
constexpr int MASK = 1 << N;
int win[N][N];
ll dp[N][MASK];
int bit[MASK][N];
int pc[MASK];
int main()
{
    for (int i = 0; i < MASK; i++) {
        for (int j = 0; j < N; j++) {
            if (i & (1 << j)) { bit[i][pc[i]++] = j; }
        }
    }
    for (int i = 0; i < N; i++) {
        for (int j = 0, c; j < N; j++) {
            std::cin >> c;
            if (i < j) { win[i][j] = c == 1, win[j][i] = c != 1; }
        }
    }
    for (int i = 0; i < N; i++) { dp[i][1 << i] = 1; }
    for (int i = 1; i < MASK; i++) {
        const int b = pc[i];
        if (b % 2 == 1) { continue; }
        int sub = i;
        for (; sub != 0; (sub -= 1) &= i) {
            if (pc[sub] != b / 2) { continue; }
            const int other = i - sub;
            for (int ji = 0; ji < b / 2; ji++) {
                const int j = bit[sub][ji];
                for (int ki = 0; ki < b / 2; ki++) {
                    const int k = bit[other][ki];
                    dp[win[j][k] ? j : k][i] += dp[j][sub] * dp[k][other];
                }
            }
        }
    }
    for (int i = 0; i < N; i++) { std::cout << dp[i][MASK - 1] << std::endl; }
    return 0;
}