



'''simple docstring'''






def 				snake_case_  (      _lowerCAmelCase						:		int     ,   _lowerCAmelCase						:		int						)   ->     int:
							UpperCAmelCase				: Optional[int]											=	1  # To kept the Calculated Value
							# Since C(n, k) = C(n, n-k)
							if k > (n - k):
														UpperCAmelCase				: Optional[int]											=	n - k
							# Calculate C(n,k)
							for i in range(_lowerCAmelCase						):
														result *= n - i
														result //= i + 1
							return result


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


def 				snake_case_  (      _lowerCAmelCase						:		int						)   ->     int:
							if n < 0:
														raise ValueError('''factorial() not defined for negative values'''						)
							UpperCAmelCase				: Optional[Any]											=	1
							for i in range(1     ,   n + 1						):
														result *= i
							return result


def 				snake_case_  (      _lowerCAmelCase						:		int						)   ->     int:
							return catalan_number(_lowerCAmelCase						) * factorial(_lowerCAmelCase						)


if __name__ == "__main__":
						UpperCamelCase__:     List[str]										=    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 dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import Features, Value
from .base import TaskTemplate

@dataclass(frozen=A__    )
class        SCREAMING_SNAKE_CASE(							A__    ):







	"""simple docstring"""






	lowerCamelCase__    				= field(default="""language-modeling"""							,	metadata={"""include_in_asdict_even_if_is_default""": True}    )

	lowerCamelCase__    				= Features({"""text""": Value("""string"""    )}    )
	lowerCamelCase__    				= Features({}    )
	lowerCamelCase__    				= "text"







	@property
	def   A			(		self    :  Optional[Any]	)    ->	Dict[str, str]:
								return {self.text_column: "text"}





