



import os
import time

import pytest

from datasets.utils.filelock import FileLock, Timeout



def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_					) ->    int:
			lowercase__   					=			FileLock(str(tmpdir / "foo.lock"					)					)
			lowercase__   					=			FileLock(str(tmpdir / "foo.lock"					)					)
			lowercase__   					=			0.01
			with locka.acquire():
						with pytest.raises(_SCREAMING_SNAKE_CASE					):
									lowercase__   					=			time.time()
									locka.acquire(_SCREAMING_SNAKE_CASE					)
									assert time.time() - _start > timeout




def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_					) ->    Tuple:
			lowercase__   					=			"a" * 1000 + ".lock"
			lowercase__   					=			FileLock(str(tmpdir / filename					)					)
			assert locka._lock_file.endswith(".lock"					)
			assert not locka._lock_file.endswith(_SCREAMING_SNAKE_CASE					)
			assert len(os.path.basename(locka._lock_file					)					) <= 255
			lowercase__   					=			FileLock(tmpdir / filename					)
			with locka.acquire():
						with pytest.raises(_SCREAMING_SNAKE_CASE					):
									locka.acquire(0					)









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.'
							)




