Buggy python submission (verdict: Time Limit Exceeded):
import collections
import sys
import numpy as np
input = sys.stdin.readline
table = collections.defaultdict(set)
N = int(input())
S = [list(input().rstrip()) for i in range(N)]
T = [[""] * (N*2) for i in range(2*N)]
table2 = [[set()] * N for i in range(N)]

for i in range(2*N):
    if i < N:
        T[i] = S[i] + S[i]
    else:
        T[i] = S[i - N] + S[i-N]
ans = 0
for i in range(2*N):
    for j in range(2*N):
        table[T[i][j]].add((i, j))

for i in range(N):
    for j in range(N):
        for x, y in table[T[i][j]]:
            for k in range(2):
                for l in range(2):
                    idx = i + N*k
                    idy = j + N*l
                    if abs(x-idx) < N and abs(x-idx) == abs(y-idy):
                        A = min(x, idx)
                        B = min(y, idy)
                        if A >= N:
                            A -= N
                        if B >= N:
                            B -= N
                        table2[i][j].add((A, B))


ans = set()
for i in range(N):
    for j in range(N):
        if i == 0 and j == 0:
            ans = table2[i][j]
        else:
            ans = ans & table2[i][j]

s = np.array(T)
count = 0
for A, B in ans:
    tmp = s[A:A+N, B:B+N]
    if (tmp != tmp.T).any() == False:
        count += 1


print(count)


Fixed submission:
import collections
import sys
import numpy as np
input = sys.stdin.readline
table = collections.defaultdict(set)
N = int(input())
S = [list(input().rstrip()) for i in range(N)]
T = [[""] * (N*2) for i in range(2*N)]
table2 = [[set() for j in range(N)] for i in range(N)]

for i in range(2*N):
    if i < N:
        T[i] = S[i] + S[i]
    else:
        T[i] = S[i - N] + S[i-N]
ans = 0
T = np.array(T)
for i in range(N):
    tmp = T[i:i+N, N-1-i:2*N-1-i]

    if (tmp == tmp.T).all():
        ans += N - (N // 2)

    tmp = T[i+1:i+N+1, N-1-i:2*N-1-i]

    if (tmp == tmp.T).all():
        ans += N // 2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import sys
input = sys.stdin.readline
N = int(input())
S = [list(input().rstrip()) for i in range(N)]
T = [[""] * (N*2) for i in range(2*N)]
for i in range(2*N):
    if i < N:
        T[i] = S[i] + S[i]
    else:
        T[i] = S[i - N] + S[i-N]
ans = 0
s = np.array(T)
for A in range(N):
    for B in range(N):
        tmp = s[A:A+N, B:B+N]
        if (tmp != tmp.T).any() == False:
            ans += 1

print(ans)


Fixed submission:
import collections
import sys
import numpy as np
input = sys.stdin.readline
table = collections.defaultdict(set)
N = int(input())
S = [list(input().rstrip()) for i in range(N)]
T = [[""] * (N*2) for i in range(2*N)]
table2 = [[set() for j in range(N)] for i in range(N)]

for i in range(2*N):
    if i < N:
        T[i] = S[i] + S[i]
    else:
        T[i] = S[i - N] + S[i-N]
ans = 0
T = np.array(T)
for i in range(N):
    tmp = T[i:i+N, N-1-i:2*N-1-i]

    if (tmp == tmp.T).all():
        ans += N - (N // 2)

    tmp = T[i+1:i+N+1, N-1-i:2*N-1-i]

    if (tmp == tmp.T).all():
        ans += N // 2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N = int(input())
S = [list(input()) for i in range(N)]
T = [[""] * (N*2) for i in range(2*N)]
for i in range(2*N):
    if i < N:
        T[i] = S[i] + S[i]
    else:
        T[i] = S[i - N] + S[i-N]
ans = 0
s = np.array(T)
for A in range(N):
    for B in range(N):
        tmp = s[A:A+N, B:B+N]
        if (tmp != tmp.T).any() == False:
            ans += 1


print(ans)


Fixed submission:
import collections
import sys
import numpy as np
input = sys.stdin.readline
table = collections.defaultdict(set)
N = int(input())
S = [list(input().rstrip()) for i in range(N)]
T = [[""] * (N*2) for i in range(2*N)]
table2 = [[set() for j in range(N)] for i in range(N)]

for i in range(2*N):
    if i < N:
        T[i] = S[i] + S[i]
    else:
        T[i] = S[i - N] + S[i-N]
ans = 0
T = np.array(T)
for i in range(N):
    tmp = T[i:i+N, N-1-i:2*N-1-i]

    if (tmp == tmp.T).all():
        ans += N - (N // 2)

    tmp = T[i+1:i+N+1, N-1-i:2*N-1-i]

    if (tmp == tmp.T).all():
        ans += N // 2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N = int(input())
S = [list(input()) for i in range(N)]
T = [[""] * (N*2) for i in range(2*N)]
for i in range(2*N):
    if i < N:
        T[i] = S[i] + S[i]
    else:
        T[i] = S[i - N] + S[i-N]
ans = 0
s = np.array(T)
for A in range(N):
    for B in range(N):
        tmp = s[A:A+N, B:B+N]

        if (tmp == tmp.T).all():
            ans += 1
print(ans)


Fixed submission:
import collections
import sys
import numpy as np
input = sys.stdin.readline
table = collections.defaultdict(set)
N = int(input())
S = [list(input().rstrip()) for i in range(N)]
T = [[""] * (N*2) for i in range(2*N)]
table2 = [[set() for j in range(N)] for i in range(N)]

for i in range(2*N):
    if i < N:
        T[i] = S[i] + S[i]
    else:
        T[i] = S[i - N] + S[i-N]
ans = 0
T = np.array(T)
for i in range(N):
    tmp = T[i:i+N, N-1-i:2*N-1-i]

    if (tmp == tmp.T).all():
        ans += N - (N // 2)

    tmp = T[i+1:i+N+1, N-1-i:2*N-1-i]

    if (tmp == tmp.T).all():
        ans += N // 2
print(ans)