




from .balanced_parentheses import balanced_parentheses
from .stack import Stack
def 		a_       (   __lowerCAmelCase							):
  return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(__lowerCAmelCase      ,   -1							)
def 		a_       (   __lowerCAmelCase							):
  if not balanced_parentheses(__lowerCAmelCase							):
    raise ValueError('''Mismatched parentheses'''							)
  lowerCAmelCase__								=			Stack()
  lowerCAmelCase__								=			[]
  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()
      __magic_name__     :     int  							=					"""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))







def 		a_       (   __lowerCAmelCase      ,   __lowerCAmelCase							):
  lowerCAmelCase__								=			0
  for ele in arr:
    total_sum += product_sum(__lowerCAmelCase      ,   depth + 1							) if isinstance(__lowerCAmelCase      ,   __lowerCAmelCase							) else ele
  return total_sum * depth
def 		a_       (   __lowerCAmelCase							):
  return product_sum(__lowerCAmelCase      ,   1							)


if __name__ == "__main__":
      import doctest

      doctest.testmod()

