public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  int n = sc . nextInt ( ) ;
  int [ ] A = new int [ n + 1 ] ;
  for ( int i = 1 ;
  i <= n ;
  i ++ ) A [ i ] = sc . nextInt ( ) ;
  int [ ] rec = new int [ n + 1 ] ;
  for ( int i = 1 ;
  i <= n ;
  i ++ ) rec [ A [ i ] ] = i ;
  int [ ] dp = new int [ n + 1 ] ;
  Arrays . fill ( dp , 1 ) ;
  boolean [ ] visited = new boolean [ n + 1 ] ;
  for ( int i = 1 ;
  i <= n - 1 ;
  i ++ ) {
    if ( visited [ i ] ) continue ;
    visited [ i ] = true ;
    int cur = i ;
    int len = 1 ;
    while ( cur <= n - 1 && rec [ cur + 1 ] > rec [ cur ] ) {
      cur ++ ;
      len ++ ;
      visited [ cur ] = true ;
    }
    dp [ i ] = len ;
  }
  int res = 0 ;
  for ( int i = 1 ;
  i <= n ;
  i ++ ) res = Math . max ( dp [ i ] , res ) ;
  System . out . println ( n - res ) ;
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; int n = sc . nextInt ( ) ; int [ ] A = new int [ n + 1 ] ; for ( int i = 1 ; i <= n ; i ++ ) A [ i ] = sc . nextInt ( ) ; int [ ] rec = new int [ n + 1 ] ; for ( int i = 1 ; i <= n ; i ++ ) rec [ A [ i ] ] = i ; int [ ] dp = new int [ n + 1 ] ; Arrays . fill ( dp , 1 ) ; boolean [ ] visited = new boolean [ n + 1 ] ; for ( int i = 1 ; i <= n - 1 ; i ++ ) { if ( visited [ i ] ) continue ; visited [ i ] = true ; int cur = i ; int len = 1 ; while ( cur <= n - 1 && rec [ cur + 1 ] > rec [ cur ] ) { cur ++ ; len ++ ; visited [ cur ] = true ; } dp [ i ] = len ; } int res = 0 ; for ( int i = 1 ; i <= n ; i ++ ) res = Math . max ( dp [ i ] , res ) ; System . out . println ( n - res ) ; }
(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 (binary_expression left: (identifier) right: (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: (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 (binary_expression left: (identifier) right: (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: (expression_statement (assignment_expression left: (array_access array: (identifier) index: (array_access array: (identifier) index: (identifier))) right: (identifier)))) (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 (binary_expression left: (identifier) right: (decimal_integer_literal)))))) (expression_statement (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (identifier) (decimal_integer_literal)))) (local_variable_declaration type: (array_type element: (boolean_type) dimensions: (dimensions)) declarator: (variable_declarator name: (identifier) value: (array_creation_expression type: (boolean_type) dimensions: (dimensions_expr (binary_expression left: (identifier) right: (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: (binary_expression left: (identifier) right: (decimal_integer_literal))) update: (update_expression (identifier)) body: (block (if_statement condition: (parenthesized_expression (array_access array: (identifier) index: (identifier))) consequence: (continue_statement)) (expression_statement (assignment_expression left: (array_access array: (identifier) index: (identifier)) right: (true))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (identifier))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (decimal_integer_literal))) (while_statement condition: (parenthesized_expression (binary_expression left: (binary_expression left: (identifier) right: (binary_expression left: (identifier) right: (decimal_integer_literal))) right: (binary_expression left: (array_access array: (identifier) index: (binary_expression left: (identifier) right: (decimal_integer_literal))) right: (array_access array: (identifier) index: (identifier))))) body: (block (expression_statement (update_expression (identifier))) (expression_statement (update_expression (identifier))) (expression_statement (assignment_expression left: (array_access array: (identifier) index: (identifier)) right: (true))))) (expression_statement (assignment_expression left: (array_access array: (identifier) index: (identifier)) right: (identifier))))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (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: (expression_statement (assignment_expression left: (identifier) right: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (array_access array: (identifier) index: (identifier)) (identifier)))))) (expression_statement (method_invocation object: (field_access object: (identifier) field: (identifier)) name: (identifier) arguments: (argument_list (binary_expression left: (identifier) right: (identifier)))))))