public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  int n = sc . nextInt ( ) ;
  int [ ] array = new int [ n ] ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) array [ i ] = sc . nextInt ( ) ;
  boolean flag = true ;
  for ( int i = 1 ;
  i < n ;
  i ++ ) if ( array [ i ] != array [ i - 1 ] + 1 ) {
    flag = false ;
    break ;
  }
  for ( int k = 0 ;
  k < n - 1 ;
  k ++ ) {
    array [ 0 ] = ( array [ 0 ] + 1 ) % n ;
    boolean f = true ;
    for ( int i = 1 ;
    i < n ;
    i ++ ) {
      if ( i % 2 == 1 ) {
        array [ i ] += n - 1 ;
        array [ i ] %= n ;
      }
      else {
        array [ i ] ++ ;
        array [ i ] %= n ;
      }
    }
    for ( int i = 1 ;
    i < n ;
    i ++ ) {
      if ( array [ i ] != array [ i - 1 ] + 1 ) {
        f = false ;
        break ;
      }
    }
    if ( f ) {
      flag = true ;
      break ;
    }
  }
  System . out . println ( flag ? "YES" : "NO" ) ;
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; int n = sc . nextInt ( ) ; int [ ] array = new int [ n ] ; for ( int i = 0 ; i < n ; i ++ ) array [ i ] = sc . nextInt ( ) ; boolean flag = true ; for ( int i = 1 ; i < n ; i ++ ) if ( array [ i ] != array [ i - 1 ] + 1 ) { flag = false ; break ; } for ( int k = 0 ; k < n - 1 ; k ++ ) { array [ 0 ] = ( array [ 0 ] + 1 ) % n ; boolean f = true ; for ( int i = 1 ; i < n ; i ++ ) { if ( i % 2 == 1 ) { array [ i ] += n - 1 ; array [ i ] %= n ; } else { array [ i ] ++ ; array [ i ] %= n ; } } for ( int i = 1 ; i < n ; i ++ ) { if ( array [ i ] != array [ i - 1 ] + 1 ) { f = false ; break ; } } if ( f ) { flag = true ; break ; } } System . out . println ( flag ? " YES " : " NO " ) ; }
(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: (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: (boolean_type) declarator: (variable_declarator name: (identifier) value: (true))) (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: (if_statement condition: (parenthesized_expression (binary_expression left: (array_access array: (identifier) index: (identifier)) right: (binary_expression left: (array_access array: (identifier) index: (binary_expression left: (identifier) right: (decimal_integer_literal))) right: (decimal_integer_literal)))) consequence: (block (expression_statement (assignment_expression left: (identifier) right: (false))) (break_statement)))) (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 (expression_statement (assignment_expression left: (array_access array: (identifier) index: (decimal_integer_literal)) right: (binary_expression left: (parenthesized_expression (binary_expression left: (array_access array: (identifier) index: (decimal_integer_literal)) right: (decimal_integer_literal))) right: (identifier)))) (local_variable_declaration type: (boolean_type) declarator: (variable_declarator name: (identifier) value: (true))) (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: (binary_expression left: (identifier) right: (decimal_integer_literal)) right: (decimal_integer_literal))) consequence: (block (expression_statement (assignment_expression left: (array_access array: (identifier) index: (identifier)) right: (binary_expression left: (identifier) right: (decimal_integer_literal)))) (expression_statement (assignment_expression left: (array_access array: (identifier) index: (identifier)) right: (identifier)))) alternative: (block (expression_statement (update_expression (array_access array: (identifier) index: (identifier)))) (expression_statement (assignment_expression left: (array_access array: (identifier) index: (identifier)) right: (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 (if_statement condition: (parenthesized_expression (binary_expression left: (array_access array: (identifier) index: (identifier)) right: (binary_expression left: (array_access array: (identifier) index: (binary_expression left: (identifier) right: (decimal_integer_literal))) right: (decimal_integer_literal)))) consequence: (block (expression_statement (assignment_expression left: (identifier) right: (false))) (break_statement))))) (if_statement condition: (parenthesized_expression (identifier)) consequence: (block (expression_statement (assignment_expression left: (identifier) right: (true))) (break_statement))))) (expression_statement (method_invocation object: (field_access object: (identifier) field: (identifier)) name: (identifier) arguments: (argument_list (ternary_expression condition: (identifier) consequence: (string_literal) alternative: (string_literal)))))))