public static void main ( String [ ] args ) {
  Scanner scan = new Scanner ( System . in ) ;
  boolean [ ] table = new boolean [ 6667 ] ;
  int num = scan . nextInt ( ) , a , b , number , result = 1 , j = 0 ;
  a = scan . nextInt ( ) * 100 ;
  b = scan . nextInt ( ) ;
  number = b % 10 * 10 + ( b / 10 ) + a ;
  for ( int i = 0 ;
  i < 4 ;
  i ++ ) {
    number = rotate ( number ) ;
    table [ number ] = true ;
  }
  for ( int i = 1 ;
  i < num ;
  i ++ ) {
    scan . next ( ) ;
    a = scan . nextInt ( ) * 100 ;
    b = scan . nextInt ( ) ;
    number = b % 10 * 10 + ( b / 10 ) + a ;
    j = 0 ;
    if ( ! table [ number ] ) for ( j = 0 ;
    j < 4 ;
    j ++ ) {
      number = rotate ( number ) ;
      table [ number ] = true ;
    }
    if ( j != 0 ) result ++ ;
  }
  System . out . println ( result ) ;
}

public static void main ( String [ ] args ) { Scanner scan = new Scanner ( System . in ) ; boolean [ ] table = new boolean [ 6667 ] ; int num = scan . nextInt ( ) , a , b , number , result = 1 , j = 0 ; a = scan . nextInt ( ) * 100 ; b = scan . nextInt ( ) ; number = b % 10 * 10 + ( b / 10 ) + a ; for ( int i = 0 ; i < 4 ; i ++ ) { number = rotate ( number ) ; table [ number ] = true ; } for ( int i = 1 ; i < num ; i ++ ) { scan . next ( ) ; a = scan . nextInt ( ) * 100 ; b = scan . nextInt ( ) ; number = b % 10 * 10 + ( b / 10 ) + a ; j = 0 ; if ( ! table [ number ] ) for ( j = 0 ; j < 4 ; j ++ ) { number = rotate ( number ) ; table [ number ] = true ; } if ( j != 0 ) result ++ ; } System . out . println ( result ) ; }
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