"""simple docstring"""







import json
import os
from typing import Dict, List, Optional, Tuple

from ...tokenization_utils import PreTrainedTokenizer
from ...utils import logging


SCREAMING_SNAKE_CASE									=						logging.get_logger(__name__)


SCREAMING_SNAKE_CASE									=						{
    'vocab_file': 'vocab.json',
    'tokenizer_config_file': 'tokenizer_config.json',
    'merges_file': 'merges.txt',
}

SCREAMING_SNAKE_CASE									=						{
    'vocab_file': {
        'facebook/s2t-wav2vec2-large-en-de': (
            'https://huggingface.co/facebook/s2t-wav2vec2-large-en-de/resolve/main/vocab.json'
        ),
    },
    'tokenizer_config_file': {
        'facebook/s2t-wav2vec2-large-en-de': (
            'https://huggingface.co/facebook/s2t-wav2vec2-large-en-de/resolve/main/tokenizer_config.json'
        ),
    },
    'merges_file': {
        'facebook/s2t-wav2vec2-large-en-de': (
            'https://huggingface.co/facebook/s2t-wav2vec2-large-en-de/resolve/main/merges.txt'
        ),
    },
}

SCREAMING_SNAKE_CASE									=						'</w>'
SCREAMING_SNAKE_CASE									=						'@@ '


def      __lowerCAmelCase(		__UpperCAmelCase			):






	"""simple docstring"""





	_lowercase :    List[Any]							=							set()
	_lowercase :    Union[str, Any]							=							word[0]
	for char in word[1:]:
		pairs.add((prev_char, char)			)
		_lowercase :    List[str]							=							char
	return pairs


# Speech2Text2 has no max input length
SCREAMING_SNAKE_CASE									=						{'facebook/s2t-wav2vec2-large-en-de': 1024}







class  _lowerCamelCase			(__lowerCamelCase     ):
				_snake_case     =  VOCAB_FILES_NAMES
				_snake_case     =  PRETRAINED_VOCAB_FILES_MAP
				_snake_case     =  PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
				_snake_case     =  ["input_ids", "attention_mask"]







				def __init__( self    :       str			,					lowerCamelCase_    :       str			,					lowerCamelCase_    :       List[str]="<s>"			,					lowerCamelCase_    :       List[str]="<pad>"			,					lowerCamelCase_    :       str="</s>"			,					lowerCamelCase_    :       Optional[Any]="<unk>"			,					lowerCamelCase_    :       Any=False			,					lowerCamelCase_    :       Optional[int]=None			,					**lowerCamelCase_    :       List[str]			,					):

					"""simple docstring"""






					super().__init__(
					    unk_token=lowerCamelCase_			,					bos_token=lowerCamelCase_			,					eos_token=lowerCamelCase_			,					pad_token=lowerCamelCase_			,					do_lower_case=lowerCamelCase_			,					**lowerCamelCase_			,					)

					_lowercase :    int							=							do_lower_case

					with open(lowerCamelCase_			,					encoding='utf-8'						) as vocab_handle:
						_lowercase :    Optional[Any]							=							json.load(lowerCamelCase_						)
					_lowercase :    Any							=							{v: k for k, v in self.encoder.items()}

					if merges_file is None:
						logger.info(F'''No merges files provided. {self.__class__.__name__} can only be used for decoding.'''						)

						_lowercase :    List[str]							=							None
						_lowercase :    Any							=							None
					else:
						with open(lowerCamelCase_			,					encoding='utf-8'						) as merges_handle:
							_lowercase :    Any							=							merges_handle.read().split('\n'						)[:-1]

						_lowercase :    str							=							[tuple(merge.split()[:2]						) for merge in merges]
						_lowercase :    str							=							dict(zip(lowerCamelCase_			,					range(len(lowerCamelCase_						)						)						)						)
						_lowercase :    Any							=							{}







				@property
				def 							__UpperCAmelCase					( self    :       Dict						):

					"""simple docstring"""






					return len(self.decoder						)







				def 							__UpperCAmelCase					( self    :       Optional[Any]						):

					"""simple docstring"""






					return dict(self.encoder			,					**self.added_tokens_encoder						)







				def 							__UpperCAmelCase					( self    :       int			,					lowerCamelCase_    :       Union[str, Any]						):

					"""simple docstring"""






					_lowercase :    List[Any]							=							tuple(token[:-1]						) + (token[-1] + BPE_TOKEN_MERGES,)
					if token in self.cache:
						return self.cache[token]
					_lowercase :    Any							=							get_pairs(lowerCamelCase_						)

					if not pairs:
						return token

					while True:
						_lowercase :    str							=							min(lowerCamelCase_			,					key=lambda lowerCamelCase_						: self.bpe_ranks.get(lowerCamelCase_			,					float('inf'						)						)						)
						if bigram not in self.bpe_ranks:
							break
						_lowercase :    str							=							bigram
						_lowercase :    Optional[int]							=							[]
						_lowercase :    Optional[int]							=							0
						while i < len(lowerCamelCase_						):
							try:
								_lowercase :    Union[str, Any]							=							word.index(lowerCamelCase_			,					lowerCamelCase_						)
							except ValueError:
								new_word.extend(word[i:]						)
								break
							else:
								new_word.extend(word[i:j]						)
								_lowercase :    List[str]							=							j

							if word[i] == first and i < len(lowerCamelCase_						) - 1 and word[i + 1] == second:
								new_word.append(first + second						)
								i += 2
							else:
								new_word.append(word[i]						)
								i += 1
						_lowercase :    Optional[int]							=							tuple(lowerCamelCase_						)
						_lowercase :    Optional[int]							=							new_word
						if len(lowerCamelCase_						) == 1:
							break
						else:
							_lowercase :    Optional[int]							=							get_pairs(lowerCamelCase_						)
					_lowercase :    int							=							' '.join(lowerCamelCase_						)
					if word == "\n  " + BPE_TOKEN_MERGES:
						_lowercase :    str							=							'\n' + BPE_TOKEN_MERGES

					if word.endswith(lowerCamelCase_						):
						_lowercase :    str							=							word.replace(lowerCamelCase_			,					''						)

					_lowercase :    int							=							word.replace(' '			,					lowerCamelCase_						)
					_lowercase :    Union[str, Any]							=							word
					return word







				def 							__UpperCAmelCase					( self    :       Any			,					lowerCamelCase_    :       Optional[int]						):

					"""simple docstring"""






					if self.bpe_ranks is None:
						raise ValueError(
						    'This tokenizer was instantiated without a `merges.txt` file, so'
						    ' that it can only be used for decoding, not for encoding.'
						    'Make sure to provide `merges.txt` file at instantiation to enable '
						    'encoding.'						)

					if self.do_lower_case:
						_lowercase :    Any							=							text.lower()

					_lowercase :    List[Any]							=							text.split()

					_lowercase :    Dict							=							[]
					for token in text:
						if token:
							split_tokens.extend(list(self.bpe(lowerCamelCase_						).split(' '						)						)						)

					return split_tokens







				def 							__UpperCAmelCase					( self    :       List[str]			,					lowerCamelCase_    :       str						):

					"""simple docstring"""






					return self.encoder.get(lowerCamelCase_			,					self.encoder.get(self.unk_token						)						)







				def 							__UpperCAmelCase					( self    :       Optional[Any]			,					lowerCamelCase_    :       int						):

					"""simple docstring"""






					_lowercase :    Union[str, Any]							=							self.decoder.get(lowerCamelCase_			,					self.unk_token						)
					return result







				def 							__UpperCAmelCase					( self    :       Tuple			,					lowerCamelCase_    :       List[str]						):

					"""simple docstring"""






					_lowercase :    int							=							' '.join(lowerCamelCase_						)

					# make sure @@ tokens are concatenated
					_lowercase :    Optional[int]							=							''.join(string.split(lowerCamelCase_						)						)

					return string







				def 							__UpperCAmelCase					( self    :       List[str]			,					lowerCamelCase_    :       str			,					lowerCamelCase_    :       Optional[str] = None						):

					"""simple docstring"""






					if not os.path.isdir(lowerCamelCase_						):
						logger.error(F'''Vocabulary path ({save_directory}) should be a directory'''						)
						return
					_lowercase :    List[Any]							=							os.path.join(
					    lowerCamelCase_			,					(filename_prefix + '-' if filename_prefix else '') + VOCAB_FILES_NAMES['vocab_file']						)
					_lowercase :    List[Any]							=							os.path.join(
					    lowerCamelCase_			,					(filename_prefix + '-' if filename_prefix else '') + VOCAB_FILES_NAMES['merges_file']						)

					with open(lowerCamelCase_			,					'w'			,					encoding='utf-8'						) as f:
						f.write(json.dumps(self.encoder			,					indent=2			,					sort_keys=lowerCamelCase_			,					ensure_ascii=lowerCamelCase_						) + '\n'						)

					_lowercase :    List[Any]							=							0
					if self.bpe_ranks is None:
						return (vocab_file,)

					with open(lowerCamelCase_			,					'w'			,					encoding='utf-8'						) as writer:
						for bpe_tokens, token_index in sorted(self.bpe_ranks.items()			,					key=lambda lowerCamelCase_						: kv[1]						):
							if index != token_index:
								logger.warning(
								    F'''Saving vocabulary to {merges_file}: BPE merge indices are not consecutive.'''
								    ' Please check that the tokenizer is not corrupted!'						)
								_lowercase :    Optional[Any]							=							token_index
							writer.write(' '.join(lowerCamelCase_						) + '\n'						)
							index += 1

					return (vocab_file, merges_file)




"""simple docstring"""







from decimal import Decimal, getcontext
from math import ceil, factorial


def      __lowerCAmelCase(		__UpperCAmelCase			):






	"""simple docstring"""





	if not isinstance(__UpperCAmelCase     ,__UpperCAmelCase			):
		raise TypeError('Undefined for non-integers'			)
	elif precision < 1:
		raise ValueError('Undefined for non-natural numbers'			)

	_lowercase :    Optional[Any]							=							precision
	_lowercase :    Dict							=							ceil(precision / 14			)
	_lowercase :    int							=							426_880 * Decimal(10_005			).sqrt()
	_lowercase :    Optional[Any]							=							1
	_lowercase :    Union[str, Any]							=							13_591_409
	_lowercase :    Optional[int]							=							Decimal(__UpperCAmelCase			)
	for k in range(1     ,__UpperCAmelCase			):
		_lowercase :    List[str]							=							factorial(6 * k			) // (factorial(3 * k			) * factorial(__UpperCAmelCase			) ** 3)
		linear_term += 545_140_134
		exponential_term *= -262_537_412_640_768_000
		partial_sum += Decimal(multinomial_term * linear_term			) / exponential_term
	return str(constant_term / partial_sum			)[:-1]


if __name__ == "__main__":
						SCREAMING_SNAKE_CASE									=						50
						print(f"""The first {n} digits of pi is: {pi(n)}""")



