public static void main ( String args [ ] ) throws Exception {
  Scanner sc = new Scanner ( System . in ) ;
  int N = sc . nextInt ( ) ;
  int ansbase = 0 ;
  String [ ] S = new String [ N ] ;
  char [ ] [ ] s = new char [ N ] [ N ] ;
  for ( int i = 0 ;
  i < N ;
  i ++ ) {
    S [ i ] = sc . next ( ) ;
    for ( int j = 0 ;
    j < N ;
    j ++ ) {
      s [ i ] [ j ] = S [ i ] . charAt ( j ) ;
    }
  }
  for ( int i = 0 ;
  i < N ;
  i ++ ) {
    Boolean OK = true ;
    for ( int j = 0 ;
    j < N ;
    j ++ ) {
      for ( int k = 0 ;
      k < N ;
      k ++ ) {
        if ( s [ ( i + j ) % N ] [ k ] != s [ ( i + k ) % N ] [ j ] ) {
          OK = false ;
        }
      }
    }
    if ( OK ) {
      ansbase ++ ;
    }
  }
  System . out . println ( ansbase * N ) ;
}

public static void main ( String args [ ] ) throws Exception { Scanner sc = new Scanner ( System . in ) ; int N = sc . nextInt ( ) ; int ansbase = 0 ; String [ ] S = new String [ N ] ; char [ ] [ ] s = new char [ N ] [ N ] ; for ( int i = 0 ; i < N ; i ++ ) { S [ i ] = sc . next ( ) ; for ( int j = 0 ; j < N ; j ++ ) { s [ i ] [ j ] = S [ i ] . charAt ( j ) ; } } for ( int i = 0 ; i < N ; i ++ ) { Boolean OK = true ; for ( int j = 0 ; j < N ; j ++ ) { for ( int k = 0 ; k < N ; k ++ ) { if ( s [ ( i + j ) % N ] [ k ] != s [ ( i + k ) % N ] [ j ] ) { OK = false ; } } } if ( OK ) { ansbase ++ ; } } System . out . println ( ansbase * N ) ; }
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