



from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import Features, Value
from .base import TaskTemplate
@dataclass(frozen=lowercase__)
class 			_snake_case     (   lowercase__):
				# `task` is not a ClassVar since we want it to be part of the `asdict` output for JSON serialization
				UpperCamelCase__			:   str       						=field(default="""summarization"""      ,		metadata={"""include_in_asdict_even_if_is_default""": True})
				UpperCamelCase__			:   ClassVar[Features]       						=Features({"""text""": Value("""string""")})
				UpperCamelCase__			:   ClassVar[Features]       						=Features({"""summary""": Value("""string""")})
				UpperCamelCase__			:   str       						="text"
				UpperCamelCase__			:   str       						="summary"




				@property
				def 							A__ (  self   :  Tuple  ):
							return {self.text_column: "text", self.summary_column: "summary"}









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



def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_					):
			return binomial_coefficient(2 * node_count  ,					SCREAMING_SNAKE_CASE_					) // (node_count + 1)



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



def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_					):
			return catalan_number(SCREAMING_SNAKE_CASE_					) * factorial(SCREAMING_SNAKE_CASE_					)


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




