// #includes {{{
#include <bits/stdc++.h>
using namespace std;

#define REP(i,n) for(int i=0;i<(int)(n);++i)
#define RREP(i,a,b) for(int i=(int)(a);i<(int)(b);++i)
#define FOR(i,c) for(__typeof((c).begin()) i=(c).begin();i!=(c).end();++i)
#define LET(x,a) __typeof(a) x(a)
//#define IFOR(i,it,c) for(__typeof((c).begin())it=(c).begin();it!=(c).end();++it,++i)
#define ALL(c) (c).begin(), (c).end()
#define MP make_pair

#define EXIST(e,s) ((s).find(e)!=(s).end())

#define RESET(a) memset((a),0,sizeof(a))
#define SET(a) memset((a),-1,sizeof(a))
#define PB push_back
#define DEC(it,command) __typeof(command) it=command

//debug
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;
#define debug_v(x) cerr << #x << " = [";REP(__ind,(x).size()){cerr << (x)[__ind] << ", ";}cerr << "] (L" << __LINE__ << ")" << endl;

#define whole(f,x,...) ([&](decltype((x)) whole) { return (f)(begin(whole), end(whole), ## __VA_ARGS__); })(x)

typedef long long Int;
typedef unsigned long long uInt;
typedef long double rn;

template<class T>
T inf(){
	return numeric_limits<T>::has_infinity?numeric_limits<T>::infinity():(numeric_limits<T>::max()/2);
}

typedef pair<int,int> pii;

/*
#ifdef MYDEBUG
#include"debug.h"
#include"print.h"
#endif
*/
// }}}


//{{{ io
FILE *file_in=stdin,*file_out=stdout;
#define fin normal_in
#define fout normal_out
//const char fname[]="";
//FILE *fin=fopen(fname,"r"),*fout=fopen(fname,"w");
#ifdef __MINGW32__
#define LLD "%I64d"
#define LLU "%I64u"
#else
#define LLD "%lld"
#define LLU "%llu"
#endif
struct NORMAL_IN{
	bool cnt;
	NORMAL_IN():cnt(true){}
	operator int() const {return cnt;}
#define endl "\n"
	NORMAL_IN& operator>>(int &n){cnt=fscanf(file_in,"%d",&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(unsigned int &n){cnt=fscanf(file_in,"%u",&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(long long &n){cnt=fscanf(file_in,LLD,&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(unsigned long long &n){cnt=fscanf(file_in,LLU,&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(double &n){cnt=fscanf(file_in,"%lf",&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(long double &n){cnt=fscanf(file_in,"%Lf",&n)!=EOF;return *this;}
	NORMAL_IN& operator>>(char *c){cnt=fscanf(file_in,"%s",c)!=EOF;return *this;}
	NORMAL_IN& operator>>(string &s){
		s.clear();
		for(bool r=false;;){
			const char c=getchar();
			if(c==EOF){ cnt=false; break;}
			const int t=isspace(c);
			if(!r and !t)r=true;
			if(r){
				if(!t)s.push_back(c);
				else break;
			}
		}
		return *this;
	}
	template<class T>
		NORMAL_IN& operator>>(vector<T> &v){
			int n;fscanf(file_in,"%d",&n);
			REP(i,n){
				T t;*this>>t;
				v.push_back(t);
			}
			return *this;
		}
} normal_in;

struct NORMAL_OUT{
	NORMAL_OUT& operator<<(const int &n){fprintf(file_out,"%d",n);return *this;}
	NORMAL_OUT& operator<<(const unsigned int &n){fprintf(file_out,"%u",n);return *this;}
	NORMAL_OUT& operator<<(const long long &n){fprintf(file_out,LLD,n);return *this;}
	NORMAL_OUT& operator<<(const unsigned long long &n){fprintf(file_out,LLU,n);return *this;}
	NORMAL_OUT& operator<<(const double &n){fprintf(file_out,"%lf",n);return *this;}
	NORMAL_OUT& operator<<(const long double &n){fprintf(file_out,"%Lf",n);return *this;}
	NORMAL_OUT& operator<<(const char c[]){fprintf(file_out,"%s",c);return *this;}
	NORMAL_OUT& operator<<(const string &s){fprintf(file_out,"%s",s.c_str());return *this;}
} normal_out;
struct ERR_OUT{
	template<class T>
		ERR_OUT& operator<<(const T &a){
			cerr<<"\x1b[7m"<<a<<"\x1b[m";
			return *this;
		}
} ferr;
//}}}

//{{{ gcd and inverse
#define __GCD_H
Int gcd(Int a, Int b) {
	return b != 0 ? gcd(b, a % b) : a;
}
Int lcm(Int a, Int b) {
	return a / gcd(a, b) *b;
}
// a x + b y = gcd(a, b)
Int extgcd(Int a, Int b, Int &x, Int &y) {
	Int g = a; x = 1; y = 0;
	if (b != 0) g = extgcd(b, a % b, y, x), y -= (a / b) * x;
	return g;
}
Int invMod(Int a, Int m) {
	Int x, y;
	if (extgcd(a, m, x, y) == 1) return (x + m) % m;
	else                         return 0; // unsolvable
}
//}}}

const uInt p = 137;
int N;
vector<string> S;

uInt get(int i,int j){
	return S[(i%N+N)%N][(j%N+N)%N];
}

void solve(){
	uInt pN = 1;
	REP(i,N)pN*=p;
	vector<vector<uInt> > rowh(N,vector<uInt>(N)), colh(N,vector<uInt>(N));
	REP(i,N){
		uInt h = 0;
		REP(j,N){
			h *= p;
			h += get(i,j);
		}
		REP(j,N){
			rowh[i][j] = h;
			h *= p;
			h -= (pN-1)*get(i,j);
		}
	}
	REP(j,N){
		uInt h = 0;
		REP(i,N){
			h*=p;
			h+=get(i,j);
		}
		REP(i,N){
			colh[i][j] = h;
			h *= p;
			h -= (pN-1)*get(i,j);
		}
	}
	Int ans = 0;
	REP(i,N){
		REP(j,N){
			//center: i,j
			int valid = 1;
			REP(t,N){
				int i2 = (t+i)%N, j2 = (t+j)%N;
				if(rowh[i2][j]!=colh[i][j2])valid = 0;
			}
			ans+=valid;
		}
	}
	fout<<ans<<endl;
}

//{{{ main function
int main(){	
	fin >> N;
	S.assign(N,string());
	for(int i = 0 ; i <= N-1 ; i++){
		fin >> S[i];
	}
	solve();
	return 0;
}
//}}}


Measured memory_bytes: 1792