'''simple docstring'''


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

def   A_      (       SCREAMING_SNAKE_CASE_						)			->int:
  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   A_      (       SCREAMING_SNAKE_CASE_						)			->int:
  return catalan_number(SCREAMING_SNAKE_CASE_						) * factorial(SCREAMING_SNAKE_CASE_						)


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 typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__snake_case						  =		{
    """configuration_git""": ["""GIT_PRETRAINED_CONFIG_ARCHIVE_MAP""", """GitConfig""", """GitVisionConfig"""],
    """processing_git""": ["""GitProcessor"""],
}

try:
       if not is_torch_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       __snake_case						  =		[
           """GIT_PRETRAINED_MODEL_ARCHIVE_LIST""",
           """GitForCausalLM""",
           """GitModel""",
           """GitPreTrainedModel""",
           """GitVisionModel""",
       ]

if TYPE_CHECKING:
       from .configuration_git import GIT_PRETRAINED_CONFIG_ARCHIVE_MAP, GitConfig, GitVisionConfig
       from .processing_git import GitProcessor

       try:
              if not is_torch_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_git import (
                  GIT_PRETRAINED_MODEL_ARCHIVE_LIST,
                  GitForCausalLM,
                  GitModel,
                  GitPreTrainedModel,
                  GitVisionModel,
              )

else:
       import sys

       __snake_case						  =		_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)

