


"""simple docstring"""






def       A_   (   _lowerCAmelCase     :					int,     _lowerCAmelCase     :					Union[str, Any]       ):






     """simple docstring"""

     _a    	=				1  # To kept the Calculated Value
     # Since C(n, k) = C(n, n-k)
     if k > (n - k):
          _a    	=				n - k
     # Calculate C(n,k)
     for i in range(lowerCamelCase_       ):
          result *= n - i
          result //= i + 1
     return result
def       A_   (   _lowerCAmelCase     :					Tuple       ):






     """simple docstring"""

     return binomial_coefficient(2 * node_count,     lowerCamelCase_       ) // (node_count + 1)
def       A_   (   _lowerCAmelCase     :					List[str]       ):






     """simple docstring"""

     if n < 0:
          raise ValueError('''factorial() not defined for negative values'''       )
     _a    	=				1
     for i in range(1,     n + 1       ):
          result *= i
     return result
def       A_   (   _lowerCAmelCase     :					Union[str, Any]       ):






     """simple docstring"""

     return catalan_number(lowerCamelCase_       ) * factorial(lowerCamelCase_       )


if __name__ == "__main__":
   __snake_case		=       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.'
   )



"""simple docstring"""






from pathlib import Path

import fire
def       A_   (   _lowerCAmelCase     :					str,     _lowerCAmelCase     :					str,     _lowerCAmelCase     :					int       ):






     """simple docstring"""

     _a    	=				Path(_lowerCAmelCase       )
     _a    	=				Path(_lowerCAmelCase       )
     dest_dir.mkdir(exist_ok=_lowerCAmelCase       )
     for path in src_dir.iterdir():
          _a    	=				[x.rstrip() for x in list(path.open().readlines()       )][:n]
          _a    	=				dest_dir.joinpath(path.name       )
          print(_lowerCAmelCase       )
          dest_path.open('''w'''       ).write('''\n'''.join(_lowerCAmelCase       )       )


if __name__ == "__main__":
   fire.Fire(minify)