import sys

it = iter(map(int, sys.stdin.buffer.read().split()))
out = []
for _ in range(next(it)):
    n = next(it)
    values = [next(it) % n for _ in range(n * n)]
    if sum(values) % n:
        out.append("-1")
        continue
    size, order = n * n, []
    if n % 2 == 0:
        order.extend(range(n))
        for r in range(1, n):
            order.extend(range(r * n + n - 1, r * n, -1) if r % 2 else range(r * n + 1, r * n + n))
        order.extend(range(size - n, 0, -n))
    else:
        order.extend(range(n))
        for c in range(n - 1, 1, -1):
            order.extend(range((n - 1) * n + c, c, -n) if (n - 1 - c) % 2 else range(n + c, size + c, n))
        for r in range(n - 1, 0, -1):
            order.extend((r * n, r * n + 1) if (n - 1 - r) % 2 else (r * n + 1, r * n))
    count, prefix = [0] * n, 0
    for index, cell in enumerate(order):
        if not (n % 2 and index == 1):
            count[prefix] += 1
        prefix = (prefix + values[cell]) % n
    residue, cuts, prefix = max(range(n), key=count.__getitem__), [], 0
    for index, cell in enumerate(order):
        if not (n % 2 and index == 1) and prefix == residue:
            cuts.append(index)
            if len(cuts) == n:
                break
        prefix = (prefix + values[cell]) % n
    answer = [0] * size
    for label in range(n):
        left = cuts[label]
        right = cuts[(label + 1) % n] + (size if label == n - 1 else 0)
        for index in range(left, right):
            answer[order[index % size]] = label + 1
    out.extend(" ".join(map(str, answer[r * n:(r + 1) * n])) for r in range(n))
print("\n".join(out))