# MatveyPanchenko DSAI-03
from copy import deepcopy

tr = lambda m: [list(r) for r in zip(*m)]

def rref(a, eps=1e-12):
    A = deepcopy(a)
    r = c = 0
    rows, cols = len(A), len(A[0])
    piv = []
    while r < rows and c < cols:
        k = next((i for i in range(r, rows) if abs(A[i][c]) > eps), None)
        if k is None:
            c += 1
            continue
        A[r], A[k] = A[k], A[r]
        p = A[r][c]
        A[r] = [x / p for x in A[r]]
        for i in range(rows):
            if i != r and abs(A[i][c]) > eps:
                f = A[i][c]
                A[i] = [u - f * v for u, v in zip(A[i], A[r])]
        piv.append(c)
        r += 1
        c += 1
    return A, piv

row_basis = lambda a: [r for r in rref(a)[0] if any(abs(x) > 1e-12 for x in r)]
def col_basis(a):
    _, piv = rref(a)
    return [[a[i][j] for i in range(len(a))] for j in piv]

def null_basis(a):
    R, piv = rref(a)
    n = len(R[0])
    free = [j for j in range(n) if j not in piv]
    B = []
    for f in free:
        v = [0] * n
        v[f] = 1
        for i, p in enumerate(piv):
            v[p] = -R[i][f]
        B.append(v)
    return B

if __name__ == "__main__":
    r = int(input("rows: "))
    A = [list(map(float, input().split())) for _ in range(r)]
    print("Row space:", row_basis(A))
    print("Column space:", col_basis(A))
    print("Row null space:", null_basis(tr(A)))
    print("Column null space:", null_basis(A))