import sys
input=sys.stdin.buffer.readline

T=int(input())
for _case in range(T):
    N=int(input())
    A=[]; sm=0
    for _ in range(N):
        r=[int(x)%N for x in input().split()]
        A+=r; sm=(sm+sum(r))%N

    if sm:
        print(-1)
        continue

    M=N*N
    o=[]

    if N%2==0:
        o+=range(N)
        for i in range(1,N):
            if i&1: o+=range(i*N+N-1,i*N,-1)
            else: o+=range(i*N+1,i*N+N)
        o+=range(M-N,0,-N)
    else:
        o+=range(N)
        for j in range(N-1,1,-1):
            if (N-1-j)&1: o+=range((N-1)*N+j,j,-N)
            else: o+=range(N+j,M+j,N)
        for i in range(N-1,0,-1):
            if (N-1-i)&1: o+=[i*N,i*N+1]
            else: o+=[i*N+1,i*N]

    cnt=[0]*N
    s=0
    for t,v in enumerate(o):
        if not (N&1 and t==1):
            cnt[s]+=1
        s=(s+A[v])%N

    r=max(range(N),key=cnt.__getitem__)

    cut=[]
    s=0
    for t,v in enumerate(o):
        if not (N&1 and t==1) and s==r:
            cut.append(t)
            if len(cut)==N:
                break
        s=(s+A[v])%N

    ans=[0]*M
    for k in range(N):
        l=cut[k]
        rr=cut[(k+1)%N]+(M if k==N-1 else 0)
        for t in range(l,rr):
            ans[o[t%M]]=k+1

    w=sys.stdout.write
    for i in range(N):
        w(" ".join(map(str,ans[i*N:(i+1)*N]))+"\n")