'''simple docstring'''




import html

from ...feature_extraction_utils import BatchFeature, FeatureExtractionMixin
from ...utils import is_bsa_available, logging, requires_backends


if is_bsa_available():
  import bsa
  from bsa import BeautifulSoup


__SCREAMING_SNAKE_CASE       :     Any     =  logging.get_logger(__name__)

class 	lowerCamelCase_	(snake_case__    ):
      '''simple docstring'''

      def __init__(       self						:				List[str]						,					**A						:				Tuple       ):
             requires_backends(self						,					["bs4"]       )
             super().__init__(**A       )




      def      _A	(       self						:				Any						,					A						:				Any       ):
             _UpperCAmelCase     :  List[str]							      =    []
             _UpperCAmelCase     :  str							      =    []
             _UpperCAmelCase     :  int							      =    element if element.name else element.parent
             for parent in child.parents:  # type: bs4.element.Tag
                    _UpperCAmelCase     :  Any							      =    parent.find_all(child.name						,					recursive=A       )
                    xpath_tags.append(child.name       )
                    xpath_subscripts.append(
                        0 if 1 == len(A       ) else next(i for i, s in enumerate(A						,					1       ) if s is child       )       )
                    _UpperCAmelCase     :  Dict							      =    parent
             xpath_tags.reverse()
             xpath_subscripts.reverse()
             return xpath_tags, xpath_subscripts




      def      _A	(       self						:				List[str]						,					A						:				List[Any]       ):
             _UpperCAmelCase     :  Tuple							      =    BeautifulSoup(A						,					"html.parser"       )

             _UpperCAmelCase     :  Optional[int]							      =    []
             _UpperCAmelCase     :  Union[str, Any]							      =    []
             _UpperCAmelCase     :  Optional[int]							      =    []

             for element in html_code.descendants:
                    if type(A       ) == bsa.element.NavigableString:
                           if type(element.parent       ) != bsa.element.Tag:
                                  continue

                           _UpperCAmelCase     :  Optional[Any]							      =    html.unescape(A       ).strip()
                           if not text_in_this_tag:
                                  continue

                           all_doc_strings.append(A       )

                           _UpperCAmelCase      ,  _UpperCAmelCase     :  int							      =    self.xpath_soup(A       )
                           stringaxtag_seq.append(A       )
                           stringaxsubs_seq.append(A       )

             if len(A       ) != len(A       ):
                    raise ValueError("Number of doc strings and xtags does not correspond"       )
             if len(A       ) != len(A       ):
                    raise ValueError("Number of doc strings and xsubs does not correspond"       )

             return all_doc_strings, stringaxtag_seq, stringaxsubs_seq




      def      _A	(       self						:				Optional[int]						,					A						:				Tuple						,					A						:				Tuple       ):
             _UpperCAmelCase     :  str							      =    ""
             for tagname, subs in zip(A						,					A       ):
                    xpath += F"""/{tagname}"""
                    if subs != 0:
                           xpath += F"""[{subs}]"""
             return xpath





      def __call__(       self						:				Optional[Any]						,					A						:				str       ):
             _UpperCAmelCase     :  int							      =    False

             # Check that strings has a valid type
             if isinstance(A						,					A       ):
                    _UpperCAmelCase     :  Optional[int]							      =    True
             elif isinstance(A						,					(list, tuple)       ):
                    if len(A       ) == 0 or isinstance(html_strings[0]						,					A       ):
                           _UpperCAmelCase     :  List[Any]							      =    True

             if not valid_strings:
                    raise ValueError(
                        "HTML strings must of type `str`, `List[str]` (batch of examples), "
                        F"""but is of type {type(A       )}."""       )

             _UpperCAmelCase     :  List[str]							      =    bool(isinstance(A						,					(list, tuple)       ) and (isinstance(html_strings[0]						,					A       ))       )

             if not is_batched:
                    _UpperCAmelCase     :  Tuple							      =    [html_strings]

             # Get nodes + xpaths
             _UpperCAmelCase     :  List[str]							      =    []
             _UpperCAmelCase     :  str							      =    []
             for html_string in html_strings:
                    _UpperCAmelCase      ,  _UpperCAmelCase      ,  _UpperCAmelCase     :  Dict							      =    self.get_three_from_single(A       )
                    nodes.append(A       )
                    _UpperCAmelCase     :  Optional[int]							      =    []
                    for node, tag_list, sub_list in zip(A						,					A						,					A       ):
                           _UpperCAmelCase     :  Dict							      =    self.construct_xpath(A						,					A       )
                           xpath_strings.append(A       )
                    xpaths.append(A       )

             # return as Dict
             _UpperCAmelCase     :  str							      =    {"nodes": nodes, "xpaths": xpaths}
             _UpperCAmelCase     :  Any							      =    BatchFeature(data=A						,					tensor_type=A       )

             return encoded_inputs


'''simple docstring'''




def 	UpperCamelCase_							(					_UpperCAmelCase  :      int			,	_UpperCAmelCase  :      int    )    ->    int:


       """simple docstring"""







       _UpperCAmelCase     :  List[str]							      =    1  # To kept the Calculated Value
       # Since C(n, k) = C(n, n-k)
       if k > (n - k):
              _UpperCAmelCase     :  Any							      =    n - k
       # Calculate C(n,k)
       for i in range(_UpperCAmelCase    ):
              result *= n - i
              result //= i + 1
       return result

def 	UpperCamelCase_							(					_UpperCAmelCase  :      int    )    ->    int:


       """simple docstring"""







       return binomial_coefficient(2 * node_count			,	_UpperCAmelCase    ) // (node_count + 1)

def 	UpperCamelCase_							(					_UpperCAmelCase  :      int    )    ->    int:


       """simple docstring"""







       if n < 0:
              raise ValueError("factorial() not defined for negative values"    )
       _UpperCAmelCase     :  List[str]							      =    1
       for i in range(1			,	n + 1    ):
              result *= i
       return result

def 	UpperCamelCase_							(					_UpperCAmelCase  :      int    )    ->    int:


       """simple docstring"""







       return catalan_number(_UpperCAmelCase    ) * factorial(_UpperCAmelCase    )


if __name__ == "__main__":
  __SCREAMING_SNAKE_CASE       :     Dict     =  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.'
  )

