





from .balanced_parentheses import balanced_parentheses
from .stack import Stack






def 			lowerCamelCase__	(__lowerCamelCase		):
     return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(__lowerCamelCase,				-1		)






def 			lowerCamelCase__	(__lowerCamelCase		):
     if not balanced_parentheses(__lowerCamelCase		):
          raise ValueError("Mismatched parentheses"		)
     _SCREAMING_SNAKE_CASE				:		Stack[str]  			=							Stack()
     _SCREAMING_SNAKE_CASE				:		int  			=							[]
     for char in expression_str:
          if char.isalpha() or char.isdigit():
               postfix.append(__lowerCamelCase		)
          elif char == "(":
               stack.push(__lowerCamelCase		)
          elif char == ")":
               while not stack.is_empty() and stack.peek() != "(":
                    postfix.append(stack.pop()		)
               stack.pop()
          else:
               while not stack.is_empty() and precedence(__lowerCamelCase		) <= precedence(stack.peek()		):
                    postfix.append(stack.pop()		)
               stack.push(__lowerCamelCase		)
     while not stack.is_empty():
          postfix.append(stack.pop()		)
     return " ".join(__lowerCamelCase		)


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

       testmod()
       UpperCamelCase__          ='a+b*(c^d-e)^(f+g*h)-i'

       print('Infix to Postfix Notation demonstration:\n')
       print('Infix notation: ' + expression)
       print('Postfix notation: ' + infix_to_postfix(expression))

'''simple docstring'''

from __future__ import annotations







def __A  (    lowerCAmelCase_       ):
     _UpperCAmelCase					:  Optional[int]         =    {1}
     _UpperCAmelCase					:  Union[str, Any]         =    [1]
     for _ in range(2 ,       depth + 1       ):
          _UpperCAmelCase					:  Dict         =    [*previous_coefficients, 0]
          _UpperCAmelCase					:  int         =    [0, *previous_coefficients]
          _UpperCAmelCase					:  List[Any]         =    []
          for x, y in zip(lowerCAmelCase_ ,       lowerCAmelCase_       ):
               coefficients.add(x + y       )
               previous_coefficients.append(x + y       )
     return coefficients







def __A  (    lowerCAmelCase_       ):
     _UpperCAmelCase					:  Dict         =    set()
     for number in unique_coefficients:
          _UpperCAmelCase					:  Tuple         =    2
          _UpperCAmelCase					:  List[str]         =    number
          while divisor**2 <= copy_number:
               _UpperCAmelCase					:  Tuple         =    0
               while copy_number % divisor == 0:
                    copy_number //= divisor
                    multiplicity += 1
               if multiplicity >= 2:
                    non_squarefrees.add(lowerCAmelCase_       )
                    break
               divisor += 1

     return unique_coefficients.difference(lowerCAmelCase_       )







def __A  (    lowerCAmelCase_ = 51       ):
     _UpperCAmelCase					:  List[str]         =    get_pascal_triangle_unique_coefficients(lowerCAmelCase_       )
     _UpperCAmelCase					:  Optional[Any]         =    get_squarefrees(lowerCAmelCase_       )
     return sum(lowerCAmelCase_       )


if __name__ == "__main__":
   print(F"{solution() = }")


