public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  int N = sc . nextInt ( ) ;
  int [ ] P = new int [ N ] ;
  for ( int i = 0 ;
  i < N ;
  i ++ ) {
    P [ i ] = sc . nextInt ( ) ;
  }
  int [ ] Q = new int [ N ] ;
  for ( int i = 0 ;
  i < N ;
  i ++ ) {
    Q [ P [ i ] - 1 ] = i ;
  }
  int cnt = 1 ;
  int ret = 1 ;
  int prev = Q [ 0 ] ;
  for ( int i = 1 ;
  i < N ;
  i ++ ) {
    if ( Q [ i ] > prev ) {
      cnt ++ ;
    }
    else {
      ret = Math . max ( ret , cnt ) ;
      cnt = 1 ;
    }
    prev = Q [ i ] ;
  }
  ret = Math . max ( ret , cnt ) ;
  System . out . println ( N - ret ) ;
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; int N = sc . nextInt ( ) ; int [ ] P = new int [ N ] ; for ( int i = 0 ; i < N ; i ++ ) { P [ i ] = sc . nextInt ( ) ; } int [ ] Q = new int [ N ] ; for ( int i = 0 ; i < N ; i ++ ) { Q [ P [ i ] - 1 ] = i ; } int cnt = 1 ; int ret = 1 ; int prev = Q [ 0 ] ; for ( int i = 1 ; i < N ; i ++ ) { if ( Q [ i ] > prev ) { cnt ++ ; } else { ret = Math . max ( ret , cnt ) ; cnt = 1 ; } prev = Q [ i ] ; } ret = Math . max ( ret , cnt ) ; System . out . println ( N - ret ) ; }
(method_declaration (modifiers) type: (void_type) name: (identifier) parameters: (formal_parameters (formal_parameter type: (array_type element: (type_identifier) dimensions: (dimensions)) name: (identifier))) body: (block (local_variable_declaration type: (type_identifier) declarator: (variable_declarator name: (identifier) value: (object_creation_expression type: (type_identifier) arguments: (argument_list (field_access object: (identifier) field: (identifier)))))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)))) (local_variable_declaration type: (array_type element: (integral_type) dimensions: (dimensions)) declarator: (variable_declarator name: (identifier) value: (array_creation_expression type: (integral_type) dimensions: (dimensions_expr (identifier))))) (for_statement init: (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (decimal_integer_literal))) condition: (binary_expression left: (identifier) right: (identifier)) update: (update_expression (identifier)) body: (block (expression_statement (assignment_expression left: (array_access array: (identifier) index: (identifier)) right: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)))))) (local_variable_declaration type: (array_type element: (integral_type) dimensions: (dimensions)) declarator: (variable_declarator name: (identifier) value: (array_creation_expression type: (integral_type) dimensions: (dimensions_expr (identifier))))) (for_statement init: (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (decimal_integer_literal))) condition: (binary_expression left: (identifier) right: (identifier)) update: (update_expression (identifier)) body: (block (expression_statement (assignment_expression left: (array_access array: (identifier) index: (binary_expression left: (array_access array: (identifier) index: (identifier)) right: (decimal_integer_literal))) right: (identifier))))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (decimal_integer_literal))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (decimal_integer_literal))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (array_access array: (identifier) index: (decimal_integer_literal)))) (for_statement init: (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (decimal_integer_literal))) condition: (binary_expression left: (identifier) right: (identifier)) update: (update_expression (identifier)) body: (block (if_statement condition: (parenthesized_expression (binary_expression left: (array_access array: (identifier) index: (identifier)) right: (identifier))) consequence: (block (expression_statement (update_expression (identifier)))) alternative: (block (expression_statement (assignment_expression left: (identifier) right: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (identifier) (identifier))))) (expression_statement (assignment_expression left: (identifier) right: (decimal_integer_literal))))) (expression_statement (assignment_expression left: (identifier) right: (array_access array: (identifier) index: (identifier)))))) (expression_statement (assignment_expression left: (identifier) right: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (identifier) (identifier))))) (expression_statement (method_invocation object: (field_access object: (identifier) field: (identifier)) name: (identifier) arguments: (argument_list (binary_expression left: (identifier) right: (identifier)))))))