Buggy python submission (verdict: Time Limit Exceeded):
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    cum = [[[0]*(N+1) for _ in range(N+1)] for _ in range(N)]
    ans = 0
    for i in range(1,N+1):
        for j in range(1,N+1):
            for k in range(N):
                cum[k][i][j] = cum[k][i-1][j]+cum[k][i][j-1]-cum[k][i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
    for k in range(N):
        ans += (cum[k][-1][-1]==N*N)*N
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    cum = [[[0]*(N+1) for _ in range(N+1)] for _ in range(N)]
    ans = 0
    for i in range(1,N+1):
        for j in range(1,N+1):
            for k in range(N):
                cum[k][i][j] = cum[k][i-1][j]+cum[k][i][j-1]-cum[k][i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
    for k in range(N):
        ans += (cum[k][-1][-1]==N*N)*N
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    cum = [[[0]*(N+1) for _ in range(N+1)] for _ in range(2*N)]
    ans = 0
    for i in range(1,N+1):
        for j in range(1,N+1):
            for k in range(N):
                cum[k][i][j] = cum[k][i-1][j]+cum[k][i][j-1]-cum[k][i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
    for k in range(-N+1,N):
        ans += (cum[k][-1][-1]==N*N)*N
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    check = defaultdict(lambda: [[0]*(N+1) for _ in range(N+1)])
    cum = defaultdict(lambda: [[0]*(N+1) for _ in range(N+1)])
    for i in range(N):
        for j in range(N):
            for k in range(-N+1,i+1):
                check[k][i+1][j+1] = S2[i][j]==S2[(j+k)%N][(i-k)%N]
    for i in range(1,N+1):
        for j in range(1,N+1):
            for k in range(-N+1,N):
                cum[k][i][j] = cum[k][i-1][j]+cum[k][i][j-1]-cum[k][i-1][j-1]+check[k][i][j]
    ans = 0
    for k in range(-N+1,N):
        ans += (cum[k][-1][-1]==N*N)*N
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    check = defaultdict(lambda: [[0]*(N+1) for _ in range(N+1)])
    cum = defaultdict(lambda: [[0]*(N+1) for _ in range(N+1)])
    for i in range(N):
        for j in range(N):
            for k in range(-N+1,i+1):
                check[k][i+1][j+1] = S2[i][j]==S2[(j+k)%N][(i-k)%N]
    for i in range(1,N+1):
        for j in range(1,N+1):
            for k in range(-N+1,N):
                cum[k][i][j] = cum[k][i-1][j]+cum[k][i][j-1]-cum[k][i-1][j-1]+check[k][i][j]
    ans = 0
    for k in range(-N+1,N):
        ans += (cum[k][-1][-1]==N*N)*N
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
def solve():
    N = int(input())
    S2 = [0]*(2*N)
    for i in range(N):
        S2[i] = input()*2
        S2[i+N] = S2[i]
    check = defaultdict(lambda: [[0]*(2*N) for _ in range(2*N)])
    cum = defaultdict(lambda: [[0]*(2*N) for _ in range(2*N)])
    for i in range(2*N-1):
        for j in range(2*N-1):
            for k in range(max([-N+1,i+1-2*N,-j]),min([N,2*N-j,i+1])):
                check[k][i+1][j+1] = S2[i][j]==S2[j+k][i-k]
    for i in range(1,2*N):
        for j in range(1,2*N):
            for k in range(-N+1,N):
                cum[k][i][j] = cum[k][i-1][j]+cum[k][i][j-1]-cum[k][i-1][j-1]+check[k][i][j]
                if i>=N+1:
                    cum[k][i][j] -= check[k][i-N][j]
                if j>=N+1:
                    cum[k][i][j] -= check[k][i][j-N]
                if i>=N+1 and j>= N+1:
                    cum[k][i][j] += check[k][i-N][j-N]
    ans = 0
    for k in range(-N+1,0):
        A,B = -k+N,N
        while A<2*N:
            if cum[A-B][A][B]==N*N:
                ans += 1
            A += 1
            B += 1
    for k in range(N):
        A,B = N,k+N
        while B<2*N:
            if cum[A-B][A][B]==N*N:
                ans += 1
            A += 1
            B += 1
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
def solve():
    N = int(input())
    S2 = [0]*(2*N)
    for i in range(N):
        S2[i] = input()*2
        S2[i+N] = S2[i]
    check = [[[0]*(2*N) for _ in range(2*N)] for _ in range(2*N-1)]
    cum = [[[0]*(2*N) for _ in range(2*N)] for _ in range(2*N-1)]
    for i in range(2*N-1):
        for j in range(2*N-1):
            for k in range(-N+1,N):
                if j+k>=0 and j+k<=2*N-1 and i-k>=0 and i-k<=2*N-1:
                    check[k][i+1][j+1] = S2[i][j]==S2[j+k][i-k]
    for i in range(1,2*N):
        for j in range(1,2*N):
            for k in range(-N+1,N):
                cum[k][i][j] = cum[k][i-1][j]+cum[k][i][j-1]-cum[k][i-1][j-1]+check[k][i][j]
                if i>=N+1:
                    cum[k][i][j] -= check[k][i-N][j]
                if j>=N+1:
                    cum[k][i][j] -= check[k][i][j-N]
                if i>=N+1 and j>= N+1:
                    cum[k][i][j] += check[k][i-N][j-N]
    ans = 0
    for k in range(-N+1,0):
        A,B = -k+N,N
        while A<2*N:
            if cum[A-B][A][B]==N*N:
                ans += 1
            A += 1
            B += 1
    for k in range(N):
        A,B = N,k+N
        while B<2*N:
            if cum[A-B][A][B]==N*N:
                ans += 1
            A += 1
            B += 1
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
def solve():
    N = int(input())
    S2 = [0]*(2*N)
    for i in range(N):
        S2[i] = input()*2
        S2[i+N] = S2[i]
    check = [[[0]*(2*N) for _ in range(2*N)] for _ in range(2*N-1)]
    cum = [[[0]*(2*N) for _ in range(2*N)] for _ in range(2*N-1)]
    for i in range(2*N-1):
        for j in range(2*N-1):
            for k in range(-N+1,N):
                if j+k>=0 and j+k<=2*N-1 and i-k>=0 and i-k<=2*N-1:
                    check[k][i+1][j+1] = S2[i][j]==S2[j+k][i-k]
    for i in range(1,2*N):
        for j in range(1,2*N):
            for k in range(-N+1,N):
                cum[k][i][j] = cum[k][i-1][j]+cum[k][i][j-1]-cum[k][i-1][j-1]+check[k][i][j]
                if i>=N+1:
                    cum[k][i][j] -= check[k][i-N][j]
                if j>=N+1:
                    cum[k][i][j] -= check[k][i][j-N]
                if i>=N+1 and j>= N+1:
                    cum[k][i][j] += check[k][i-N][j-N]
    ans = 0
    for k in range(-N+1,0):
        A,B = -k+N,N
        while A<2*N:
            if cum[A-B][A][B]==N*N:
                ans += 1
            A += 1
            B += 1
    for k in range(N):
        A,B = N,k+N
        while B<2*N:
            if cum[A-B][A][B]==N*N:
                ans += 1
            A += 1
            B += 1
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Runtime Error):
import numpy as np
def solve():
    N = int(input())
    S2 = [0]*(2*N)
    for i in range(N):
        S2[i] = input()*2
        S2[i+N] = S2[i]
    check = [[[0]*(2*N) for _ in range(2*N)] for _ in range(2*N-1)]
    cum = [[[0]*(2*N) for _ in range(2*N)] for _ in range(2*N-1)]
    for i in range(2*N-1):
        for j in range(2*N-1):
            for k in range(-N+1,N):
                if j+k>=0 and j+k<=2*N-1 and i-k>=0 and i-k<=2*N-1:
                    check[k][i+1][j+1] = S2[i][j]==S2[j+k][i-k]
    for i in range(1,2*N):
        for j in range(1,2*N):
            for k in range(-N+1,N):
                cum[k][i][j] = cum[k][i-1][j]+cum[k][i][j-1]-cum[k][i-1][j-1]+check[k][i][j]
                if i>=N+1:
                    cum[k][i][j] -= check[k][i-N][j]
                if j>=N+1:
                    cum[k][i][j] -= check[k][i][j-N]
                if i>=N+1 and j>= N+1:
                    cum[k][i][j] += check[k][i-N][j-N]
    ans = 0
    for k in range(-N+1,0):
        A,B = -k+N,N
        while A<2*N:
            if cum[A-B][A][B]==N*N:
                ans += 1
            A += 1
            B += 1
    for k in range(N):
        A,B = N,k+N
        while B<2*N:
            if cum[A-B][A][B]==N*N:
                ans += 1
            A += 1
            B += 1
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
def solve():
    N = int(input())
    S2 = [0]*(2*N)
    for i in range(N):
        S2[i] = input()*2
        S2[i+N] = S2[i]
    check = np.zeros((2*N-1,2*N-1,2*N-1))
    cum = np.zeros((2*N-1,2*N,2*N))
    for i in range(2*N-1):
        for j in range(2*N-1):
            for k in range(-N+1,N):
                if j+k>=0 and j+k<=2*N-1 and i-k>=0 and i-k<=2*N-1:
                    check[k,i,j] = S2[i][j]==S2[j+k][i-k]
    for i in range(1,2*N):
        for j in range(1,2*N):
            for k in range(-N+1,N):
                cum[k,i,j] = cum[k,i-1,j]+cum[k,i,j-1]-cum[k,i-1,j-1]+check[k,i-1,j-1]
                if i>=N+1:
                    cum[k,i,j] -= check[k,i-N-1,j-1]
                if j>=N+1:
                    cum[k,i,j] -= check[k,i-1,j-N-1]
                if i>=N+1 and j>= N+1:
                    cum[k,i,j] += check[k,i-N-1,j-N-1]
    ans = 0
    for k in range(-N+1,0):
        A,B = -k+N,N
        while A<2*N:
            if cum[A-B,A,B]==N*N:
                ans += 1
            A += 1
            B += 1
    for k in range(N):
        A,B = N,k+N
        while B<2*N:
            if cum[A-B,A,B]==N*N:
                ans += 1
            A += 1
            B += 1
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())

Buggy python submission (verdict: Runtime Error):
import numpy as np
def solve():
    N = int(input())
    S2 = [0]*(2*N)
    for i in range(N):
        S2[i] = input()*2
        S2[i+N] = S2[i]
    check = np.zeros((2*N-1,2*N-1,2*N-1))
    cum = np.zeros((2*N-1,2*N,2*N))
    for i in range(2*N-1):
        for j in range(2*N-1):
            for k in range(-N+1,N):
                if j+k>=0 and j+k<=2*N-1 and i-k>=0 and i-k<=2*N-1:
                    check[k,i,j] = S2[i][j]==S2[j+k][i-k]
    for i in range(1,2*N):
        for j in range(1,2*N):
            for k in range(-N+1,N):
                cum[k,i,j] = cum[k,i-1,j]+cum[k,i,j-1]-cum[k,i-1,j-1]+check[k,i-1,j-1]
                if i>=N+1:
                    cum[k,i,j] -= check[k,i-N-1,j-1]
                if j>=N+1:
                    cum[k,i,j] -= check[k,i-1,j-N-1]
                if i>=N+1 and j>= N+1:
                    cum[k,i,j] += check[k,i-N-1,j-N-1]
    ans = 0
    for k in range(-N+1,0):
        A,B = -k+N,N
        while A<2*N:
            if cum[A-B,A,B]==N*N:
                ans += 1
            A += 1
            B += 1
    for k in range(N):
        A,B = N,k+N
        while B<2*N:
            if cum[A-B,A,B]==N*N:
                ans += 1
            A += 1
            B += 1
    return ans
print(solve())

Fixed submission:
def solve():
    N = int(input())
    S2 = [0]*N
    for i in range(N):
        S2[i] = input()
    ans = 0
    for k in range(N):
        cum = [[0]*(N+1) for _ in range(N+1)]
        for i in range(1,N+1):
            for j in range(1,N+1):
                cum[i][j] = cum[i-1][j]+cum[i][j-1]-cum[i-1][j-1]+(S2[i-1][j-1]==S2[(j-1+k)%N][(i-1-k)%N])
                if i==N and j==N:
                    ans += (cum[i][j]==N*N)*N
    return ans
print(solve())