
from math import factorial





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase     ,		__lowerCAmelCase     ,		__lowerCAmelCase				):
    if successes > trials:
        raise ValueError("successes must be lower or equal to trials"				)
    if trials < 0 or successes < 0:
        raise ValueError("the function is defined for non-negative integers"				)
    if not isinstance(__lowerCAmelCase     ,		__lowerCAmelCase				) or not isinstance(__lowerCAmelCase     ,		__lowerCAmelCase				):
        raise ValueError("the function is defined for non-negative integers"				)
    if not 0 < prob < 1:
        raise ValueError("prob has to be in range of 1 - 0"				)
    snake_case__    =					(prob**successes) * ((1 - prob) ** (trials - successes))
    # Calculate the binomial coefficient: n! / k!(n-k)!
    snake_case__    =					float(factorial(__lowerCAmelCase				)				)
    coefficient /= factorial(__lowerCAmelCase				) * factorial(trials - successes				)
    return probability * coefficient


if __name__ == "__main__":
     from doctest import testmod

     testmod()
     print('''Probability of 2 successes out of 4 trails''')
     print('''with probability of 0.75 is:''', end=''' ''')
     print(binomial_distribution(2, 4, 0.7_5))





import json
import os
from typing import Optional, Tuple

import regex as re

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


__magic_name__  							=	logging.get_logger(__name__)

__magic_name__  							=	{
    '''vocab_file''': '''vocab.json''',
    '''merges_file''': '''merges.txt''',
}

__magic_name__  							=	{
    '''vocab_file''': {'''ctrl''': '''https://raw.githubusercontent.com/salesforce/ctrl/master/ctrl-vocab.json'''},
    '''merges_file''': {'''ctrl''': '''https://raw.githubusercontent.com/salesforce/ctrl/master/ctrl-merges.txt'''},
}

__magic_name__  							=	{
    '''ctrl''': 256,
}

__magic_name__  							=	{
    '''Pregnancy''': 168_629,
    '''Christianity''': 7_675,
    '''Explain''': 106_423,
    '''Fitness''': 63_440,
    '''Saving''': 63_163,
    '''Ask''': 27_171,
    '''Ass''': 95_985,
    '''Joke''': 163_509,
    '''Questions''': 45_622,
    '''Thoughts''': 49_605,
    '''Retail''': 52_342,
    '''Feminism''': 164_338,
    '''Writing''': 11_992,
    '''Atheism''': 192_263,
    '''Netflix''': 48_616,
    '''Computing''': 39_639,
    '''Opinion''': 43_213,
    '''Alone''': 44_967,
    '''Funny''': 58_917,
    '''Gaming''': 40_358,
    '''Human''': 4_088,
    '''India''': 1_331,
    '''Joker''': 77_138,
    '''Diet''': 36_206,
    '''Legal''': 11_859,
    '''Norman''': 4_939,
    '''Tip''': 72_689,
    '''Weight''': 52_343,
    '''Movies''': 46_273,
    '''Running''': 23_425,
    '''Science''': 2_090,
    '''Horror''': 37_793,
    '''Confession''': 60_572,
    '''Finance''': 12_250,
    '''Politics''': 16_360,
    '''Scary''': 191_985,
    '''Support''': 12_654,
    '''Technologies''': 32_516,
    '''Teenage''': 66_160,
    '''Event''': 32_769,
    '''Learned''': 67_460,
    '''Notion''': 182_770,
    '''Wikipedia''': 37_583,
    '''Books''': 6_665,
    '''Extract''': 76_050,
    '''Confessions''': 102_701,
    '''Conspiracy''': 75_932,
    '''Links''': 63_674,
    '''Narcissus''': 150_425,
    '''Relationship''': 54_766,
    '''Relationships''': 134_796,
    '''Reviews''': 41_671,
    '''News''': 4_256,
    '''Translation''': 26_820,
    '''multilingual''': 128_406,
}





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase				):
    snake_case__    =					set()
    snake_case__    =					word[0]
    for char in word[1:]:
        pairs.add((prev_char, char)				)
        snake_case__    =					char

    snake_case__    =					set(__lowerCAmelCase				)
    return pairs





class        _SCREAMING_SNAKE_CASE	(   __UpperCamelCase			):
      _A    :		Tuple     						=  VOCAB_FILES_NAMES
      _A    :		str     						=  PRETRAINED_VOCAB_FILES_MAP
      _A    :		int     						=  PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
      _A    :		List[Any]     						=  CONTROL_CODES
      def __init__(      self		,						lowerCamelCase		,						lowerCamelCase		,						lowerCamelCase="<unk>"		,						**lowerCamelCase			):
          super().__init__(unk_token=lowerCamelCase		,						**lowerCamelCase			)

          with open(lowerCamelCase		,						encoding="utf-8"			) as vocab_handle:
              snake_case__    =					json.load(lowerCamelCase			)
          snake_case__    =					{v: k for k, v in self.encoder.items()}
          with open(lowerCamelCase		,						encoding="utf-8"			) as merges_handle:
              snake_case__    =					merges_handle.read().split("\n"			)[1:-1]
          snake_case__    =					[tuple(merge.split()			) for merge in merges]
          snake_case__    =					dict(zip(lowerCamelCase		,						range(len(lowerCamelCase			)			)			)			)
          snake_case__    =					{}
      @property
      def A_      (      self			):
          return len(self.encoder			)
      def A_      (      self			):
          return dict(self.encoder		,						**self.added_tokens_encoder			)
      def A_      (      self		,						lowerCamelCase			):
          if token in self.cache:
              return self.cache[token]
          snake_case__    =					tuple(lowerCamelCase			)
          snake_case__    =					tuple(list(word[:-1]			) + [word[-1] + "</w>"]			)
          snake_case__    =					get_pairs(lowerCamelCase			)

          if not pairs:
              return token

          while True:
              snake_case__    =					min(lowerCamelCase		,						key=lambda lowerCamelCase			: self.bpe_ranks.get(lowerCamelCase		,						float("inf"			)			)			)
              if bigram not in self.bpe_ranks:
                  break
              snake_case__    ,       snake_case__    =					bigram
              snake_case__    =					[]
              snake_case__    =					0
              while i < len(lowerCamelCase			):
                  try:
                      snake_case__    =					word.index(lowerCamelCase		,						lowerCamelCase			)
                  except ValueError:
                      new_word.extend(word[i:]			)
                      break
                  else:
                      new_word.extend(word[i:j]			)
                      snake_case__    =					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
              snake_case__    =					tuple(lowerCamelCase			)
              snake_case__    =					new_word
              if len(lowerCamelCase			) == 1:
                  break
              else:
                  snake_case__    =					get_pairs(lowerCamelCase			)
          snake_case__    =					"@@ ".join(lowerCamelCase			)
          snake_case__    =					word[:-4]
          snake_case__    =					word
          return word
      def A_      (      self		,						lowerCamelCase			):
          snake_case__    =					[]

          snake_case__    =					re.findall(r"\S+\n?"		,						lowerCamelCase			)

          for token in words:
              split_tokens.extend(list(self.bpe(lowerCamelCase			).split(" "			)			)			)
          return split_tokens
      def A_      (      self		,						lowerCamelCase			):
          return self.encoder.get(lowerCamelCase		,						self.encoder.get(self.unk_token			)			)
      def A_      (      self		,						lowerCamelCase			):
          return self.decoder.get(lowerCamelCase		,						self.unk_token			)
      def A_      (      self		,						lowerCamelCase			):
          snake_case__    =					" ".join(lowerCamelCase			).replace("@@ "		,						""			).strip()
          return out_string



      def A_      (      self		,						lowerCamelCase		,						lowerCamelCase = None			):
          if not os.path.isdir(lowerCamelCase			):
              logger.error(F"""Vocabulary path ({save_directory}) should be a directory"""			)
              return
          snake_case__    =					os.path.join(
              lowerCamelCase		,						(filename_prefix + "-" if filename_prefix else "") + VOCAB_FILES_NAMES["vocab_file"]			)
          snake_case__    =					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"			)

          snake_case__    =					0
          with open(lowerCamelCase		,						"w"		,						encoding="utf-8"			) as writer:
              writer.write("#version: 0.2\n"			)
              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 {merge_file}: BPE merge indices are not consecutive."""
                          " Please check that the tokenizer is not corrupted!"			)
                      snake_case__    =					token_index
                  writer.write(" ".join(lowerCamelCase			) + "\n"			)
                  index += 1

          return vocab_file, merge_file

      # def decode(self, token_ids, skip_special_tokens=False, clean_up_tokenization_spaces=True):
      #     filtered_tokens = ' '.join(self.convert_ids_to_tokens(token_ids, skip_special_tokens=skip_special_tokens))
      #     tokens_generated_so_far = re.sub('(@@ )', '', string=filtered_tokens)
      #     tokens_generated_so_far = re.sub('(@@ ?$)', '', string=tokens_generated_so_far)
      #     return ''.join(tokens_generated_so_far)



