




'''simple docstring'''

from __future__ import annotations




def    snake_case__     (  a	)			->       list[int]:





			'''simple docstring'''






			snake_case__          =						[0] * max_one

			for i in range(0       ,      a	):
						snake_case__          =						i

			for i in range(2       ,      a	):
						if totients[i] == i:
									for j in range(a       ,      a       ,      a	):
												totients[j] -= totients[j] // i

			return totients




def    snake_case__     (  a       ,      a	)			->       bool:





			'''simple docstring'''






			return sorted(str(a	)	) == sorted(str(a	)	)




def    snake_case__     (  a = 1000_0000	)			->       int:





			'''simple docstring'''






			snake_case__          =						1  # i
			snake_case__          =						0  # φ(i)
			snake_case__          =						get_totients(max_n + 1	)

			for i in range(2       ,      max_n + 1	):
						snake_case__          =						totients[i]

						if i * min_denominator < min_numerator * t and has_same_digits(a       ,      a	):
									snake_case__          =						i
									snake_case__          =						t

			return min_numerator


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

from .balanced_parentheses import balanced_parentheses
from .stack import Stack



def  _lowerCAmelCase				(				__a      )  ->      int:
     '''simple docstring'''







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



def  _lowerCAmelCase				(				__a      )  ->      str:
     '''simple docstring'''







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


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

      testmod()
      _lowerCamelCase :				Tuple														= """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))