public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  PrintWriter pw = new PrintWriter ( System . out ) ;
  int N = sc . nextInt ( ) ;
  int [ ] ra = new int [ N ] ;
  int L = 0 ;
  Arrays . fill ( ra , - 1 ) ;
  for ( int i = 0 ;
  i < N + 1 ;
  i ++ ) {
    int a = sc . nextInt ( ) - 1 ;
    if ( ra [ a ] < 0 ) ra [ a ] = i ;
    else L = ra [ a ] + ( N + 1 - i - 1 ) ;
  }
  Comb comb1 = new Comb ( N + 1 ) ;
  Comb comb2 = new Comb ( L ) ;
  for ( int i = 0 ;
  i < N + 1 ;
  i ++ ) {
    if ( i == 0 ) pw . println ( ( comb1 . get ( i + 1 ) - comb2 . get ( i ) + MOD ) % MOD ) ;
    else pw . println ( ( comb1 . getNext ( ) - comb2 . getNext ( ) + MOD ) % MOD ) ;
  }
  sc . close ( ) ;
  pw . close ( ) ;
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; PrintWriter pw = new PrintWriter ( System . out ) ; int N = sc . nextInt ( ) ; int [ ] ra = new int [ N ] ; int L = 0 ; Arrays . fill ( ra , - 1 ) ; for ( int i = 0 ; i < N + 1 ; i ++ ) { int a = sc . nextInt ( ) - 1 ; if ( ra [ a ] < 0 ) ra [ a ] = i ; else L = ra [ a ] + ( N + 1 - i - 1 ) ; } Comb comb1 = new Comb ( N + 1 ) ; Comb comb2 = new Comb ( L ) ; for ( int i = 0 ; i < N + 1 ; i ++ ) { if ( i == 0 ) pw . println ( ( comb1 . get ( i + 1 ) - comb2 . get ( i ) + MOD ) % MOD ) ; else pw . println ( ( comb1 . getNext ( ) - comb2 . getNext ( ) + MOD ) % MOD ) ; } sc . close ( ) ; pw . close ( ) ; }
(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: (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))))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (decimal_integer_literal))) (expression_statement (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (identifier) (unary_expression operand: (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 (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (binary_expression left: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)) right: (decimal_integer_literal)))) (if_statement condition: (parenthesized_expression (binary_expression left: (array_access array: (identifier) index: (identifier)) right: (decimal_integer_literal))) consequence: (expression_statement (assignment_expression left: (array_access array: (identifier) index: (identifier)) right: (identifier))) alternative: (expression_statement (assignment_expression left: (identifier) right: (binary_expression left: (array_access array: (identifier) index: (identifier)) right: (parenthesized_expression (binary_expression left: (binary_expression left: (binary_expression left: (identifier) right: (decimal_integer_literal)) right: (identifier)) right: (decimal_integer_literal))))))))) (local_variable_declaration type: (type_identifier) declarator: (variable_declarator name: (identifier) value: (object_creation_expression type: (type_identifier) arguments: (argument_list (binary_expression left: (identifier) right: (decimal_integer_literal)))))) (local_variable_declaration type: (type_identifier) declarator: (variable_declarator name: (identifier) value: (object_creation_expression type: (type_identifier) arguments: (argument_list (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: (binary_expression left: (identifier) right: (decimal_integer_literal))) update: (update_expression (identifier)) body: (block (if_statement condition: (parenthesized_expression (binary_expression left: (identifier) right: (decimal_integer_literal))) consequence: (expression_statement (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (binary_expression left: (parenthesized_expression (binary_expression left: (binary_expression left: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (binary_expression left: (identifier) right: (decimal_integer_literal)))) right: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (identifier)))) right: (identifier))) right: (identifier))))) alternative: (expression_statement (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (binary_expression left: (parenthesized_expression (binary_expression left: (binary_expression left: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)) right: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list))) right: (identifier))) right: (identifier)))))))) (expression_statement (method_invocation object: (identifier) name: (identifier) arguments: (argument_list))) (expression_statement (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)))))