### BUGGY CODE ###

exec("def nWord(): nWord.cache = raw_input() if not hasattr(nWord, 'cache') or nWord.cache=='' else nWord.cache ; pos = nWord.cache.find(nWord.sep) ; ret, nWord.cache = (nWord.cache, '') if pos==-1 else (nWord.cache[:pos], nWord.cache[pos+1:].lstrip(nWord.sep)) ; return ret") ; exec("nWord.sep = ' '") ; exec("def ___nLine2(): ret, nWord.cache = (raw_input(), nWord.cache if hasattr(nWord, 'cache') else '') if not hasattr(nWord, 'cache') or nWord.cache=='' else (nWord.cache, '') ; return ret") ; exec('def nInt(): return int(nWord())') ; exec('def nFloat(): return float(nWord())') ; exec("def ___nAuto2():\n ret = nWord()\n try: return int(ret)\n except: pass\n try: return float(ret)\n except: return ret") ; exec("def nAuto(n=None): return ___nAuto2() if n is None else [___nAuto2() for i in range(n)]") ; exec("def nLine(n=None): return ___nLine2() if n is None else [___nLine2() for i in range(n)]")

N = nAuto()
S = nAuto(N)

H = N
W = N

def fH(p, H2):
    for k in range(1, p):
        for i in range(H2):
            for j in range(W):
                if S[i][j]!=S[i+k*H2][j]:
                    return False
    return True

def fW(p, W2):
    for k in range(1, p):
        for i in range(H):
            for j in range(W2):
                if S[i][j]!=S[i][j+k*W2]:
                    return False
    return True

for p in [2, 3, 5, 7, 11, 13, 17]:
    while H % p == 0:
        H2 = H / p
        if fH(p, H2):
            H = H2
        else:
            break
    while W % p == 0:
        W2 = W / p
        if fW(p, W2):
            W = W2
        else:
            break

D = {}
for  i in range(H):
    for j in range(W):
        c = S[i][j]
        if c in D:
            D[c] += 1
        else:
            D[c] = 1

max_c = 'a'
max_count = 0
for c in D:
    if max_count < D[c]:
        max_count = D[c]
        max_c = c

L = []
for  i in range(H):
    for j in range(W):
        c = S[i][j]
        if c!=max_c:
            L.append((i, j, c))

def check(A, B):
    for i2, j2, c in L:
        i = (i2-A+N) % N
        j = (j2-B+N) % N
        if c!=S[(A+j) % N][(B+i) % N]:
            return False
    return True

ng = 0
count = 0
for A in range(N):
    for B in range(N):
        if check(A, B):
            count += 1
            if 300<=count and ng==0:
                print N*N
                exit()
        else:
            ng += 1
print count


### FIXED CODE ###

exec("def nWord(): nWord.cache = raw_input() if not hasattr(nWord, 'cache') or nWord.cache=='' else nWord.cache ; pos = nWord.cache.find(nWord.sep) ; ret, nWord.cache = (nWord.cache, '') if pos==-1 else (nWord.cache[:pos], nWord.cache[pos+1:].lstrip(nWord.sep)) ; return ret") ; exec("nWord.sep = ' '") ; exec("def ___nLine2(): ret, nWord.cache = (raw_input(), nWord.cache if hasattr(nWord, 'cache') else '') if not hasattr(nWord, 'cache') or nWord.cache=='' else (nWord.cache, '') ; return ret") ; exec('def nInt(): return int(nWord())') ; exec('def nFloat(): return float(nWord())') ; exec("def ___nAuto2():\n ret = nWord()\n try: return int(ret)\n except: pass\n try: return float(ret)\n except: return ret") ; exec("def nAuto(n=None): return ___nAuto2() if n is None else [___nAuto2() for i in range(n)]") ; exec("def nLine(n=None): return ___nLine2() if n is None else [___nLine2() for i in range(n)]")
 
N = nAuto()
S = nAuto(N)
 
def check(A):
    for i in range(N):
        for j in range(N):
            if S[(A+i) % N][j]!=S[(A+j) % N][i]:
                return 0
    return N
 
count = 0
for A in range(N):
    count += check(A)
print count