


'''simple docstring'''







A__:    Union[str, Any]					    =       '''Alexander Joslin'''

import operator as op

from .stack import Stack


def 	SCREAMING_SNAKE_CASE_					(  _UpperCAmelCase	:	str  )  ->			int:
       _a    : Optional[int]     					={"""*""": op.mul, """/""": op.truediv, """+""": op.add, """-""": op.sub}

       _a    : Stack[int]     					=Stack()
       _a    : Stack[str]     					=Stack()

       for i in equation:
              if i.isdigit():
                     # RULE 1
                     operand_stack.push(int(_UpperCAmelCase  )  )
              elif i in operators:
                     # RULE 2
                     operator_stack.push(_UpperCAmelCase  )
              elif i == ")":
                     # RULE 4
                     _a    : Union[str, Any]     					=operator_stack.peek()
                     operator_stack.pop()
                     _a    : int     					=operand_stack.peek()
                     operand_stack.pop()
                     _a    : Union[str, Any]     					=operand_stack.peek()
                     operand_stack.pop()

                     _a    : Any     					=operators[opr](_UpperCAmelCase    ,_UpperCAmelCase  )
                     operand_stack.push(_UpperCAmelCase  )

    # RULE 5
       return operand_stack.peek()


if __name__ == "__main__":
   A__:    Dict					    =       '''(5 + ((4 * 2) * (2 + 3)))'''
   # answer = 45
   print(F"{equation} = {dijkstras_two_stack_algorithm(equation)}")






'''simple docstring'''







from __future__ import annotations

from typing import TypedDict







class A__       (						UpperCAmelCase__      ):
      __UpperCamelCase       :  str
      __UpperCamelCase       :  int


def 	SCREAMING_SNAKE_CASE_					(  _UpperCAmelCase	:	str  )  ->			list[str]:
       if not isinstance(_UpperCAmelCase    ,_UpperCAmelCase  ):
              raise TypeError("""The parameter s type must be str."""  )

       return [s[i:] + s[:i] for i in range(len(_UpperCAmelCase  )  )]


def 	SCREAMING_SNAKE_CASE_					(  _UpperCAmelCase	:	str  )  ->			BWTTransformDict:
       if not isinstance(_UpperCAmelCase    ,_UpperCAmelCase  ):
              raise TypeError("""The parameter s type must be str."""  )
       if not s:
              raise ValueError("""The parameter s must not be empty."""  )

       _a    : List[Any]     					=all_rotations(_UpperCAmelCase  )
       rotations.sort()  # sort the list of rotations in alphabetically order
       # make a string composed of the last char of each rotation
       _a    : BWTTransformDict     					={
           "bwt_string": "".join([word[-1] for word in rotations]  ),
           "idx_original_string": rotations.index(_UpperCAmelCase  ),
       }
       return response


def 	SCREAMING_SNAKE_CASE_					(  _UpperCAmelCase	:	str    ,_UpperCAmelCase	:	int  )  ->			str:
       if not isinstance(_UpperCAmelCase    ,_UpperCAmelCase  ):
              raise TypeError("""The parameter bwt_string type must be str."""  )
       if not bwt_string:
              raise ValueError("""The parameter bwt_string must not be empty."""  )
       try:
              _a    : List[str]     					=int(_UpperCAmelCase  )
       except ValueError:
              raise TypeError(
                  """The parameter idx_original_string type must be int or passive"""
                  """ of cast to int."""  )
       if idx_original_string < 0:
              raise ValueError("""The parameter idx_original_string must not be lower than 0."""  )
       if idx_original_string >= len(_UpperCAmelCase  ):
              raise ValueError(
                  """The parameter idx_original_string must be lower than""" """ len(bwt_string)."""  )

       _a    : Optional[int]     					=[""""""] * len(_UpperCAmelCase  )
       for _ in range(len(_UpperCAmelCase  )  ):
              for i in range(len(_UpperCAmelCase  )  ):
                     _a    : int     					=bwt_string[i] + ordered_rotations[i]
              ordered_rotations.sort()
       return ordered_rotations[idx_original_string]


if __name__ == "__main__":
   A__:    Any					    =       '''Provide a string that I will generate its BWT transform: '''
   A__:    Union[str, Any]					    =       input(entry_msg).strip()
   A__:    Optional[int]					    =       bwt_transform(s)
   print(
       F"Burrows Wheeler transform for string '{s}' results "
       F"in '{result['bwt_string']}'"
   )
   A__:    Union[str, Any]					    =       reverse_bwt(result['''bwt_string'''], result['''idx_original_string'''])
   print(
       F"Reversing Burrows Wheeler transform for entry '{result['bwt_string']}' "
       F"we get original string '{original_string}'"
   )


