def A__  (			lowercase:     int,		lowercase:     int					)				->		int:
       A						:     Any  =1  # To kept the Calculated Value
       # Since C(n, k) = C(n, n-k)
       if k > (n - k):
              A						:     List[Any]  =n - k
       # Calculate C(n,k)
       for i in range(lowercase					):
              result *= n - i
              result //= i + 1
       return result



def A__  (			lowercase:     int					)				->		int:
       return binomial_coefficient(2 * node_count,		lowercase					) // (node_count + 1)



def A__  (			lowercase:     int					)				->		int:
       if n < 0:
              raise ValueError('factorial() not defined for negative values'					)
       A						:     Union[str, Any]  =1
       for i in range(1,		n + 1					):
              result *= i
       return result



def A__  (			lowercase:     int					)				->		int:
       return catalan_number(lowercase					) * factorial(lowercase					)


if __name__ == "__main__":
    _lowercase							:      List[Any]      							=int(input('''Enter the number of nodes: ''').strip() or 0)
    if node_count <= 0:
        raise ValueError('''We need some nodes to work with.''')
    print(
        f'''Given {node_count} nodes, there are {binary_tree_count(node_count)} '''
        f'''binary trees and {catalan_number(node_count)} binary search trees.'''
    )







from typing import List

from .keymap import KEYMAP, get_character



def A__  (			lowercase:     str					)				->		List[str]:

       def decorator(lowercase:     int					):
              A						:     Tuple         =getattr(lowercase,		'handle_key',		[]					)
              handle += [key]
              setattr(lowercase,		'handle_key',		lowercase					)
              return func

       return decorator



def A__  (			*lowercase:     List[str]					)				->		Dict:

       def decorator(lowercase:     Union[str, Any]					):
              A						:     Optional[int]         =getattr(lowercase,		'handle_key',		[]					)
              handle += keys
              setattr(lowercase,		'handle_key',		lowercase					)
              return func

       return decorator



class  SCREAMING_SNAKE_CASE_ (					lowerCAmelCase_			):
  '''simple docstring'''


  def __new__(				cls    :					List[str]      ,	SCREAMING_SNAKE_CASE__    :					Optional[Any]      ,	SCREAMING_SNAKE_CASE__    :					List[Any]      ,	SCREAMING_SNAKE_CASE__    :					List[str]     )    ->				Any:
         A						:     Dict         =super().__new__(cls      ,	SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__     )
         if not hasattr(SCREAMING_SNAKE_CASE__      ,	'key_handler'     ):
                setattr(SCREAMING_SNAKE_CASE__      ,	'key_handler'      ,	{}     )
         setattr(SCREAMING_SNAKE_CASE__      ,	'handle_input'      ,	KeyHandler.handle_input     )

         for value in attrs.values():
                A						:     Optional[Any]         =getattr(SCREAMING_SNAKE_CASE__      ,	'handle_key'      ,	[]     )
                for key in handled_keys:
                       A						:     str         =value
         return new_cls







  @staticmethod
  def 		SCREAMING_SNAKE_CASE_		(				cls    :					str     )    ->				Any:
         A						:     str         =get_character()
         if char != KEYMAP["undefined"]:
                A						:     List[str]         =ord(SCREAMING_SNAKE_CASE__     )
         A						:     List[str]         =cls.key_handler.get(SCREAMING_SNAKE_CASE__     )
         if handler:
                A						:     List[str]         =char
                return handler(cls     )
         else:
                return None







def A__  (			cls:     Optional[int]					)				->		str:
       return KeyHandler(cls.__name__,		cls.__bases__,		cls.__dict__.copy()					)






