public static void main ( String args [ ] ) {
  Scanner sc = new Scanner ( System . in ) ;
  int n = sc . nextInt ( ) ;
  String [ ] [ ] str = new String [ n ] [ n ] ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    String tmpStr = sc . next ( ) ;
    for ( int j = 0 ;
    j < n ;
    j ++ ) {
      str [ i ] [ j ] = String . valueOf ( tmpStr . charAt ( j ) ) ;
    }
  }
  int count = 0 ;
  String [ ] [ ] secondStr = new String [ n ] [ n ] ;
  for ( int A = 0 ;
  A < n ;
  A ++ ) {
    for ( int i = 0 ;
    i < n ;
    i ++ ) {
      for ( int j = 0 ;
      j < n ;
      j ++ ) {
        secondStr [ i ] [ j ] = str [ ( i + A ) % n ] [ j ] ;
      }
    }
    boolean ans = true ;
    for ( int i = 0 ;
    i < n ;
    i ++ ) {
      for ( int j = 0 ;
      j < n ;
      j ++ ) {
        if ( ! ( secondStr [ i ] [ j ] . equals ( secondStr [ j ] [ i ] ) ) ) {
          ans = false ;
        }
      }
    }
    if ( ans == true ) count += n ;
  }
  System . out . println ( count ) ;
}

public static void main ( String args [ ] ) { Scanner sc = new Scanner ( System . in ) ; int n = sc . nextInt ( ) ; String [ ] [ ] str = new String [ n ] [ n ] ; for ( int i = 0 ; i < n ; i ++ ) { String tmpStr = sc . next ( ) ; for ( int j = 0 ; j < n ; j ++ ) { str [ i ] [ j ] = String . valueOf ( tmpStr . charAt ( j ) ) ; } } int count = 0 ; String [ ] [ ] secondStr = new String [ n ] [ n ] ; for ( int A = 0 ; A < n ; A ++ ) { for ( int i = 0 ; i < n ; i ++ ) { for ( int j = 0 ; j < n ; j ++ ) { secondStr [ i ] [ j ] = str [ ( i + A ) % n ] [ j ] ; } } boolean ans = true ; for ( int i = 0 ; i < n ; i ++ ) { for ( int j = 0 ; j < n ; j ++ ) { if ( ! ( secondStr [ i ] [ j ] . equals ( secondStr [ j ] [ i ] ) ) ) { ans = false ; } } } if ( ans == true ) count += n ; } System . out . println ( count ) ; }
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