



"""simple docstring"""





import warnings
from typing import Dict, List, Optional, Tuple

from ...tokenization_utils import AddedToken, PreTrainedTokenizer
from ...utils import logging


__lowerCAmelCase       :					Union[str, Any]      					=					logging.get_logger(__name__)



class    _lowerCAmelCase    (				SCREAMING_SNAKE_CASE__		):





		"""simple docstring"""






		_lowerCamelCase			  =       ['''input_ids''', '''attention_mask''']





		def __init__(					self							,    _lowercase="</s>"							,    _lowercase="<unk>"							,    _lowercase="<pad>"							,    _lowercase=1_2_5							,    _lowercase=None							,    **_lowercase							,    ) ->						None:







								'''simple docstring'''

								if extra_ids > 0 and additional_special_tokens is None:
														snake_case_   : Dict						=			[f'<extra_id_{i}>' for i in range(_lowercase   )]
								elif extra_ids > 0 and additional_special_tokens is not None:
														# Check that we have the right number of extra_id special tokens
														snake_case_   : Optional[Any]						=			len(set(filter(lambda _lowercase   : bool("""extra_id""" in str(_lowercase   )   )							,    _lowercase   )   )   )
														if extra_tokens != extra_ids:
																				raise ValueError(
																				    f'Both extra_ids ({extra_ids}) and additional_special_tokens ({additional_special_tokens}) are'
																				    """ provided to ByT5Tokenizer. In this case the additional_special_tokens must include the"""
																				    """ extra_ids tokens"""   )

								snake_case_   : List[Any]						=			AddedToken(_lowercase							,    lstrip=_lowercase							,    rstrip=_lowercase   ) if isinstance(_lowercase							,    _lowercase   ) else pad_token
								snake_case_   : Dict						=			AddedToken(_lowercase							,    lstrip=_lowercase							,    rstrip=_lowercase   ) if isinstance(_lowercase							,    _lowercase   ) else eos_token
								snake_case_   : str						=			AddedToken(_lowercase							,    lstrip=_lowercase							,    rstrip=_lowercase   ) if isinstance(_lowercase							,    _lowercase   ) else unk_token

								super().__init__(
								    eos_token=_lowercase							,    unk_token=_lowercase							,    pad_token=_lowercase							,    extra_ids=_lowercase							,    additional_special_tokens=_lowercase							,    **_lowercase							,    )

								snake_case_   : List[str]						=			extra_ids

								snake_case_   : Tuple						=			2**8  # utf is 8 bits

								# define special tokens dict
								snake_case_   : Dict[int, str]						=			{
								    self.pad_token: 0,
								    self.eos_token: 1,
								    self.unk_token: 2,
								}
								snake_case_   : int						=			len(self.special_tokens_encoder   )
								snake_case_   : Tuple						=			len(_lowercase   )
								for i, token in enumerate(_lowercase   ):
														snake_case_   : List[str]						=			self.vocab_size + i - n
								snake_case_   : Dict[str, int]						=			{v: k for k, v in self.special_tokens_encoder.items()}





		@property
		def    UpperCAmelCase__							(					self   ) ->						int:







								'''simple docstring'''

								return self._utf_vocab_size + self._num_special_tokens + self._extra_ids





		def    UpperCAmelCase__							(					self							,    _lowercase							,    _lowercase = None							,    _lowercase = False   ) ->						List[int]:







								'''simple docstring'''

								if already_has_special_tokens:
														return super().get_special_tokens_mask(
														    token_ids_a=_lowercase							,    token_ids_a=_lowercase							,    already_has_special_tokens=_lowercase   )

								# normal case: some special tokens
								if token_ids_a is None:
														return ([0] * len(_lowercase   )) + [1]
								return ([0] * len(_lowercase   )) + [1] + ([0] * len(_lowercase   )) + [1]





		def    UpperCAmelCase__							(					self							,    _lowercase   ) ->						List[int]:







								'''simple docstring'''

								if len(_lowercase   ) > 0 and token_ids[-1] == self.eos_token_id:
														warnings.warn(
														    f'This sequence already has {self.eos_token}. In future versions this behavior may lead to duplicated'
														    """ eos tokens being added."""   )
														return token_ids
								else:
														return token_ids + [self.eos_token_id]





		def    UpperCAmelCase__							(					self							,    _lowercase							,    _lowercase = None   ) ->						List[int]:







								'''simple docstring'''

								snake_case_   : Optional[int]						=			[self.eos_token_id]

								if token_ids_a is None:
														return len(token_ids_a + eos   ) * [0]
								return len(token_ids_a + eos + token_ids_a + eos   ) * [0]





		def    UpperCAmelCase__							(					self							,    _lowercase							,    _lowercase = None   ) ->						List[int]:







								'''simple docstring'''

								snake_case_   : List[str]						=			self._add_eos_if_not_present(_lowercase   )
								if token_ids_a is None:
														return token_ids_a
								else:
														snake_case_   : List[Any]						=			self._add_eos_if_not_present(_lowercase   )
														return token_ids_a + token_ids_a





		def    UpperCAmelCase__							(					self							,    _lowercase   ) ->						List[str]:







								'''simple docstring'''

								snake_case_   : int						=			[chr(_lowercase   ) for i in text.encode("""utf-8"""   )]
								return tokens





		def    UpperCAmelCase__							(					self							,    _lowercase   ) ->						int:







								'''simple docstring'''

								if token in self.special_tokens_encoder:
														snake_case_   : Tuple						=			self.special_tokens_encoder[token]
								elif token in self.added_tokens_encoder:
														snake_case_   : List[Any]						=			self.added_tokens_encoder[token]
								elif len(_lowercase   ) != 1:
														snake_case_   : List[Any]						=			self.unk_token_id
								else:
														snake_case_   : List[Any]						=			ord(_lowercase   ) + self._num_special_tokens
								return token_id





		def    UpperCAmelCase__							(					self							,    _lowercase   ) ->						Optional[Any]:







								'''simple docstring'''

								if index in self.special_tokens_decoder:
														snake_case_   : Dict						=			self.special_tokens_decoder[index]
								else:
														snake_case_   : Any						=			chr(index - self._num_special_tokens   )
								return token





		def    UpperCAmelCase__							(					self							,    _lowercase   ) ->						List[Any]:







								'''simple docstring'''

								snake_case_   : List[str]						=			b""""""
								for token in tokens:
														if token in self.special_tokens_decoder:
																				snake_case_   : List[Any]						=			self.special_tokens_decoder[token].encode("""utf-8"""   )
														elif token in self.added_tokens_decoder:
																				snake_case_   : Optional[Any]						=			self.special_tokens_decoder[token].encode("""utf-8"""   )
														elif token in self.special_tokens_encoder:
																				snake_case_   : Optional[Any]						=			token.encode("""utf-8"""   )
														elif token in self.added_tokens_encoder:
																				snake_case_   : Optional[int]						=			token.encode("""utf-8"""   )
														else:
																				snake_case_   : Optional[Any]						=			bytes([ord(_lowercase   )]   )
														bstring += tok_string
								snake_case_   : List[Any]						=			bstring.decode("""utf-8"""							,    errors="""ignore"""   )
								return string





		def    UpperCAmelCase__							(					self							,    _lowercase							,    _lowercase = None   ) ->						Tuple[str]:







								'''simple docstring'''

								return ()






"""simple docstring"""





def 	__lowerCAmelCase						(		__UpperCamelCase      :			int					, __UpperCamelCase      :			int    ):


						'''simple docstring'''






						snake_case_   : Any						=			1  # To kept the Calculated Value
						# Since C(n, k) = C(n, n-k)
						if k > (n - k):
												snake_case_   : Optional[int]						=			n - k
						# Calculate C(n,k)
						for i in range(__UpperCamelCase    ):
												result *= n - i
												result //= i + 1
						return result
def 	__lowerCAmelCase						(		__UpperCamelCase      :			int    ):


						'''simple docstring'''






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


						'''simple docstring'''






						if n < 0:
												raise ValueError("""factorial() not defined for negative values"""    )
						snake_case_   : Optional[int]						=			1
						for i in range(1					, n + 1    ):
												result *= i
						return result
def 	__lowerCAmelCase						(		__UpperCamelCase      :			int    ):


						'''simple docstring'''






						return catalan_number(__UpperCamelCase    ) * factorial(__UpperCamelCase    )


if __name__ == "__main__":
					__lowerCAmelCase       :					Optional[Any]      					=					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.'''
					)

