def 	__SCREAMING_SNAKE_CASE  (					__UpperCamelCase    :       int ,     __UpperCamelCase    :       int	)							->					int:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__										=      1  # To kept the Calculated Value
  # Since C(n, k) = C(n, n-k)
  if k > (n - k):
    SCREAMING_SNAKE_CASE__										=      n - k
  # Calculate C(n,k)
  for i in range(__UpperCamelCase	):
    result *= n - i
    result //= i + 1
  return result



def 	__SCREAMING_SNAKE_CASE  (					__UpperCamelCase    :       int	)							->					int:







  """simple docstring"""





  return binomial_coefficient(2 * node_count ,     __UpperCamelCase	) // (node_count + 1)



def 	__SCREAMING_SNAKE_CASE  (					__UpperCamelCase    :       int	)							->					int:







  """simple docstring"""





  if n < 0:
    raise ValueError("""factorial() not defined for negative values"""	)
  SCREAMING_SNAKE_CASE__										=      1
  for i in range(1 ,     n + 1	):
    result *= i
  return result



def 	__SCREAMING_SNAKE_CASE  (					__UpperCamelCase    :       int	)							->					int:







  """simple docstring"""





  return catalan_number(__UpperCamelCase	) * factorial(__UpperCamelCase	)


if __name__ == "__main__":
   __lowerCamelCase			: 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."""
   )

import socket



def 	__SCREAMING_SNAKE_CASE  (					)							->					Optional[int]:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__										=      socket.socket(socket.AF_INET ,     socket.SOCK_STREAM	)
  SCREAMING_SNAKE_CASE__										=      socket.gethostname()
  SCREAMING_SNAKE_CASE__										=      1_23_12

  sock.connect((host, port)	)
  sock.send(B"""Hello server!"""	)

  with open("""Received_file""" ,     """wb"""	) as out_file:
    print("""File opened"""	)
    print("""Receiving data..."""	)
    while True:
      SCREAMING_SNAKE_CASE__										=      sock.recv(10_24	)
      if not data:
        break
      out_file.write(__UpperCamelCase	)

  print("""Successfully received the file"""	)
  sock.close()
  print("""Connection closed"""	)


if __name__ == "__main__":
   main()
