'''simple docstring'''






import json
from typing import Iterator, List, Union

from tokenizers import AddedToken, Regex, Tokenizer, decoders, normalizers, pre_tokenizers, trainers
from tokenizers.implementations.base_tokenizer import BaseTokenizer
from tokenizers.models import Unigram
from tokenizers.processors import TemplateProcessing




class    a (       __lowerCAmelCase				):



  """simple docstring"""







  def __init__(							self   ,    snake_case_ = "▁"   ,    snake_case_ = True   ,    snake_case_ = "<unk>"   ,    snake_case_ = "</s>"   ,    snake_case_ = "<pad>"   ,    ):

    '''simple docstring'''







    __UpperCAmelCase:					List[Any]		= {
        """pad""": {"""id""": 0, """token""": pad_token},
        """eos""": {"""id""": 1, """token""": eos_token},
        """unk""": {"""id""": 2, """token""": unk_token},
    }

    __UpperCAmelCase:					Tuple		= [None] * len(self.special_tokens					)
    for token_dict in self.special_tokens.values():
      __UpperCAmelCase:					Any		= token_dict["""token"""]

    __UpperCAmelCase:					List[Any]		= Tokenizer(Unigram()					)

    __UpperCAmelCase:					Optional[Any]		= normalizers.Sequence(
        [
            normalizers.Nmt(),
            normalizers.NFKC(),
            normalizers.Replace(Regex(""" {2,}"""					)   ,    """ """					),
            normalizers.Lowercase(),
        ]					)
    __UpperCAmelCase:					Dict		= pre_tokenizers.Sequence(
        [
            pre_tokenizers.Metaspace(replacement=snake_case_   ,    add_prefix_space=snake_case_					),
            pre_tokenizers.Digits(individual_digits=snake_case_					),
            pre_tokenizers.Punctuation(),
        ]					)
    __UpperCAmelCase:					Union[str, Any]		= decoders.Metaspace(replacement=snake_case_   ,    add_prefix_space=snake_case_					)

    __UpperCAmelCase:					List[str]		= TemplateProcessing(
        single=F'''$A {self.special_tokens['eos']['token']}'''   ,    special_tokens=[(self.special_tokens["""eos"""]["""token"""], self.special_tokens["""eos"""]["""id"""])]   ,    )

    __UpperCAmelCase:					Tuple		= {
        """model""": """SentencePieceUnigram""",
        """replacement""": replacement,
        """add_prefix_space""": add_prefix_space,
    }

    super().__init__(snake_case_   ,    snake_case_					)







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_ = 8000   ,    snake_case_ = True   ,    ):

    '''simple docstring'''







    __UpperCAmelCase:					Dict		= trainers.UnigramTrainer(
        vocab_size=snake_case_   ,    special_tokens=self.special_tokens_list   ,    show_progress=snake_case_   ,    )

    if isinstance(snake_case_   ,    snake_case_					):
      __UpperCAmelCase:					Optional[int]		= [files]
    self._tokenizer.train(snake_case_   ,    trainer=snake_case_					)

    self.add_unk_id()







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_ = 8000   ,    snake_case_ = True   ,    ):

    '''simple docstring'''







    __UpperCAmelCase:					int		= trainers.UnigramTrainer(
        vocab_size=snake_case_   ,    special_tokens=self.special_tokens_list   ,    show_progress=snake_case_   ,    )

    self._tokenizer.train_from_iterator(snake_case_   ,    trainer=snake_case_					)

    self.add_unk_id()







  def    lowercase_  (							self					):

    '''simple docstring'''







    __UpperCAmelCase:					Dict		= json.loads(self._tokenizer.to_str()					)

    __UpperCAmelCase:					List[str]		= self.special_tokens["""unk"""]["""id"""]

    __UpperCAmelCase:					Optional[int]		= Tokenizer.from_str(json.dumps(snake_case_					)					)
'''simple docstring'''






def  UpperCamelCase__					(					_lowercase    :				List[str]     )							->	Union[str, Any]:
  __UpperCAmelCase:					int		= []
  __UpperCAmelCase:					List[Any]		= []
  __UpperCAmelCase:					List[Any]		= {
      """^""": 3,
      """*""": 2,
      """/""": 2,
      """%""": 2,
      """+""": 1,
      """-""": 1,
  }  # Priority of each operator
  __UpperCAmelCase:					int		= len(_lowercase     ) if (len(_lowercase     ) > 7) else 7

  # Print table header for output
  print(
      """Symbol""".center(8     )   ,    """Stack""".center(_lowercase     )   ,    """Postfix""".center(_lowercase     )   ,    sep=""" | """   ,    )
  print("""-""" * (print_width * 3 + 7)     )

  for x in infix:
    if x.isalpha() or x.isdigit():
      post_fix.append(_lowercase     )  # if x is Alphabet / Digit, add it to Postfix
    elif x == "(":
      stack.append(_lowercase     )  # if x is "(" push to Stack
    elif x == ")":  # if x is ")" pop stack until "(" is encountered
      while stack[-1] != "(":
        post_fix.append(stack.pop()     )  # Pop stack & add the content to Postfix
      stack.pop()
    else:
      if len(_lowercase     ) == 0:
        stack.append(_lowercase     )  # If stack is empty, push x to stack
      else:  # while priority of x is not > priority of element in the stack
        while len(_lowercase     ) > 0 and priority[x] <= priority[stack[-1]]:
          post_fix.append(stack.pop()     )  # pop stack & add to Postfix
        stack.append(_lowercase     )  # push x to stack

    print(
        x.center(8     )   ,    ("""""".join(_lowercase     )).ljust(_lowercase     )   ,    ("""""".join(_lowercase     )).ljust(_lowercase     )   ,    sep=""" | """   ,    )  # Output in tabular format

  while len(_lowercase     ) > 0:  # while stack is not empty
    post_fix.append(stack.pop()     )  # pop stack & add to Postfix
    print(
        """ """.center(8     )   ,    ("""""".join(_lowercase     )).ljust(_lowercase     )   ,    ("""""".join(_lowercase     )).ljust(_lowercase     )   ,    sep=""" | """   ,    )  # Output in tabular format

  return "".join(_lowercase     )  # return Postfix as str






def  UpperCamelCase__					(					_lowercase    :				str     )							->	Tuple:
  __UpperCAmelCase:					Union[str, Any]		= list(infix[::-1]     )  # reverse the infix equation

  for i in range(len(_lowercase     )     ):
    if infix[i] == "(":
      __UpperCAmelCase:					Tuple		= """)"""  # change "(" to ")"
    elif infix[i] == ")":
      __UpperCAmelCase:					Union[str, Any]		= """("""  # change ")" to "("

  return (infix_2_postfix("""""".join(_lowercase     )     ))[
      ::-1
  ]  # call infix_2_postfix on Infix, return reverse of Postfix


if __name__ == "__main__":
    SCREAMING_SNAKE_CASE_	   =			input('\nEnter an Infix Equation = ')  # Input an Infix equation
    SCREAMING_SNAKE_CASE_	   =			''.join(Infix.split())  # Remove spaces from the input
    print('\n\t', Infix, '(Infix) -> ', infix_2_prefix(Infix), '(Prefix)')