






'''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 						SCREAMING_SNAKE_CASE       (       SCREAMING_SNAKE_CASE_							):






			def __init__(			self   :      List[Any]	,    __SCREAMING_SNAKE_CASE   :      str = "▁"	,    __SCREAMING_SNAKE_CASE   :      bool = True	,    __SCREAMING_SNAKE_CASE   :      Union[str, AddedToken] = "<unk>"	,    __SCREAMING_SNAKE_CASE   :      Union[str, AddedToken] = "</s>"	,    __SCREAMING_SNAKE_CASE   :      Union[str, AddedToken] = "<pad>"	,    )      ->      Optional[Any]:
							a_		:	int									=   {
							    '''pad''': {'''id''': 0, '''token''': pad_token},
							    '''eos''': {'''id''': 1, '''token''': eos_token},
							    '''unk''': {'''id''': 2, '''token''': unk_token},
							}

							a_		:	List[str]									=   [None] * len(self.special_tokens       )
							for token_dict in self.special_tokens.values():
											a_		:	int									=   token_dict['''token''']

							a_		:	Dict									=   Tokenizer(Unigram()       )

							a_		:	List[str]									=   normalizers.Sequence(
							    [
							        normalizers.Nmt(),
							        normalizers.NFKC(),
							        normalizers.Replace(Regex(''' {2,}'''       )	,    ''' '''       ),
							        normalizers.Lowercase(),
							    ]       )
							a_		:	str									=   pre_tokenizers.Sequence(
							    [
							        pre_tokenizers.Metaspace(replacement=__SCREAMING_SNAKE_CASE	,    add_prefix_space=__SCREAMING_SNAKE_CASE       ),
							        pre_tokenizers.Digits(individual_digits=__SCREAMING_SNAKE_CASE       ),
							        pre_tokenizers.Punctuation(),
							    ]       )
							a_		:	List[str]									=   decoders.Metaspace(replacement=__SCREAMING_SNAKE_CASE	,    add_prefix_space=__SCREAMING_SNAKE_CASE       )

							a_		:	Dict									=   TemplateProcessing(
							    single=f'$A {self.special_tokens["eos"]["token"]}'	,    special_tokens=[(self.special_tokens['''eos''']['''token'''], self.special_tokens['''eos''']['''id'''])]	,    )

							a_		:	str									=   {
							    '''model''': '''SentencePieceUnigram''',
							    '''replacement''': replacement,
							    '''add_prefix_space''': add_prefix_space,
							}

							super().__init__(__SCREAMING_SNAKE_CASE	,    __SCREAMING_SNAKE_CASE       )






			def       SCREAMING_SNAKE_CASE   (			self   :      str	,    __SCREAMING_SNAKE_CASE   :      Union[str, List[str]]	,    __SCREAMING_SNAKE_CASE   :      int = 8000	,    __SCREAMING_SNAKE_CASE   :      bool = True	,    )      ->      Union[str, Any]:
							a_		:	Optional[Any]									=   trainers.UnigramTrainer(
							    vocab_size=__SCREAMING_SNAKE_CASE	,    special_tokens=self.special_tokens_list	,    show_progress=__SCREAMING_SNAKE_CASE	,    )

							if isinstance(__SCREAMING_SNAKE_CASE	,    __SCREAMING_SNAKE_CASE       ):
											a_		:	str									=   [files]
							self._tokenizer.train(__SCREAMING_SNAKE_CASE	,    trainer=__SCREAMING_SNAKE_CASE       )

							self.add_unk_id()






			def       SCREAMING_SNAKE_CASE   (			self   :      List[Any]	,    __SCREAMING_SNAKE_CASE   :      Union[Iterator[str], Iterator[Iterator[str]]]	,    __SCREAMING_SNAKE_CASE   :      int = 8000	,    __SCREAMING_SNAKE_CASE   :      bool = True	,    )      ->      int:
							a_		:	List[str]									=   trainers.UnigramTrainer(
							    vocab_size=__SCREAMING_SNAKE_CASE	,    special_tokens=self.special_tokens_list	,    show_progress=__SCREAMING_SNAKE_CASE	,    )

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

							self.add_unk_id()







			def       SCREAMING_SNAKE_CASE   (			self   :      List[Any]       )      ->      Dict:
							a_		:	List[str]									=   json.loads(self._tokenizer.to_str()       )

							a_		:	List[str]									=   self.special_tokens['''unk''']['''id''']

							a_		:	Any									=   Tokenizer.from_str(json.dumps(__SCREAMING_SNAKE_CASE       )       )












'''simple docstring'''







def 		_UpperCAmelCase (				__A				: int   ):
				a_		:	Optional[Any]									=   []
				a_		:	Optional[Any]									=   []
				a_		:	List[str]									=   {
				    '''^''': 3,
				    '''*''': 2,
				    '''/''': 2,
				    '''%''': 2,
				    '''+''': 1,
				    '''-''': 1,
				}  # Priority of each operator
				a_		:	int									=   len(__A   ) if (len(__A   ) > 7) else 7

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

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

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

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

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





def 		_UpperCAmelCase (				__A				: Tuple   ):
				a_		:	Union[str, Any]									=   list(infix[::-1]   )  # reverse the infix equation

				for i in range(len(__A   )   ):
								if infix[i] == "(":
												a_		:	List[str]									=   ''')'''  # change "(" to ")"
								elif infix[i] == ")":
												a_		:	str									=   '''('''  # change ")" to "("

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


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




