
from .balanced_parentheses import balanced_parentheses
from .stack import Stack
def 					lowerCAmelCase__     (    SCREAMING_SNAKE_CASE_	)							->						int:
			return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(_UpperCAmelCase			,				-1	)
def 					lowerCAmelCase__     (    SCREAMING_SNAKE_CASE_	)							->						str:
			if not balanced_parentheses(_UpperCAmelCase	):
						raise ValueError('Mismatched parentheses'	)
			lowerCAmelCase__ : List[str]   =						Stack()
			lowerCAmelCase__ : Union[str, Any]   =						[]
			for char in expression_str:
						if char.isalpha() or char.isdigit():
									postfix.append(_UpperCAmelCase	)
						elif char == "(":
									stack.push(_UpperCAmelCase	)
						elif char == ")":
									while not stack.is_empty() and stack.peek() != "(":
												postfix.append(stack.pop()	)
									stack.pop()
						else:
									while not stack.is_empty() and precedence(_UpperCAmelCase	) <= precedence(stack.peek()	):
												postfix.append(stack.pop()	)
									stack.push(_UpperCAmelCase	)
			while not stack.is_empty():
						postfix.append(stack.pop()	)
			return " ".join(_UpperCAmelCase	)


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

					testmod()
					lowerCamelCase__        =						'''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   _lowercase       (    _UpperCAmelCase					)    ->	bool:
				if not isinstance(_UpperCAmelCase      ,   _UpperCAmelCase					):
								lowerCamelCase									=F"""Input value of [number={number}] must be an integer"""
								raise TypeError(_UpperCAmelCase					)
				if number < 0 or number % 2 == 1:
								return False
				lowerCamelCase									=int(number**0.5					)
				return number == number_sqrt * (number_sqrt + 1)


if __name__ == "__main__":
							import doctest

							doctest.testmod()





