N = int(input())
M = (N - 1).bit_length()
S = tuple(tuple(map(int, input().split())) for _ in range(N))


"""
dp[S, i]
選手の集合S, 勝者i -> 何通り
"""
bit = [[] for _ in range(5)]
for b in range(1, 1 << N):
    pc = bin(b).count("1")
    if pc == 1:
        bit[0].append(b)
    elif pc == 2:
        bit[1].append(b)
    elif pc == 4:
        bit[2].append(b)
    elif pc == 8:
        bit[3].append(b)
    elif pc == 16:
        bit[4].append(b)


dp = [[0] * N for _ in range(1 << N)]
for i in range(N):
    dp[1 << i][i] = 1

for i in range(M - 1):
    for x in bit[i]:
        for j in range(N):
            if ~(x >> j) & 1:
                continue
            for y in bit[i]:
                if x & y:
                    continue
                for k in range(N):
                    if ~(y >> k) & 1:
                        continue
                    win = j if S[j][k] else k
                    dp[x | y][win] += dp[x][j] * dp[y][k]


mask = (1 << N) - 1
for x in bit[M-1]:
    y = mask ^ x
    for i in range(N):
        if (x >> i) & 1:
            for j in range(N):
                if (y >> j) & 1:
                    win = i if S[i][j] else j
                    dp[mask][win] += dp[x][i] * dp[y][j]


for i in range(N):
    print(dp[mask][i])