





def       UpperCamelCase__(			UpperCamelCase__     :			int					,	UpperCamelCase__     :			int    )->int:
       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(UpperCamelCase__    ):
              result *= n - i
              result //= i + 1
       return result


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


def       UpperCamelCase__(			UpperCamelCase__     :			int    )->int:
       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       UpperCamelCase__(			UpperCamelCase__     :			int    )->int:
       return catalan_number(UpperCamelCase__    ) * factorial(UpperCamelCase__    )


if __name__ == "__main__":
       a__: Optional[int]							   =						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 warnings

from diffusers import StableDiffusionInpaintPipeline as StableDiffusionInpaintPipeline  # noqa F401


warnings.warn(
    'The `inpainting.py` script is outdated. Please use directly `from diffusers import'
    ' StableDiffusionInpaintPipeline` instead.'
)





