public static void main ( String args [ ] ) {
  Scanner sc = new Scanner ( System . in ) ;
  int n = sc . nextInt ( ) ;
  int [ ] p_index = new int [ n ] ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    p_index [ sc . nextInt ( ) - 1 ] = i ;
  }
  int ans = 0 ;
  int count = 0 ;
  int prev_index = - 1 ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    if ( p_index [ i ] > prev_index ) {
      count ++ ;
    }
    else {
      ans = Math . max ( ans , count ) ;
      count = 1 ;
    }
    prev_index = p_index [ i ] ;
  }
  ans = Math . max ( ans , count ) ;
  System . out . println ( n - ans ) ;
}

public static void main ( String args [ ] ) { Scanner sc = new Scanner ( System . in ) ; int n = sc . nextInt ( ) ; int [ ] p_index = new int [ n ] ; for ( int i = 0 ; i < n ; i ++ ) { p_index [ sc . nextInt ( ) - 1 ] = i ; } int ans = 0 ; int count = 0 ; int prev_index = - 1 ; for ( int i = 0 ; i < n ; i ++ ) { if ( p_index [ i ] > prev_index ) { count ++ ; } else { ans = Math . max ( ans , count ) ; count = 1 ; } prev_index = p_index [ i ] ; } ans = Math . max ( ans , count ) ; System . out . println ( n - ans ) ; }
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