





from .balanced_parentheses import balanced_parentheses
from .stack import Stack





def   _lowercase       (    _UpperCAmelCase					)    ->	int:
				return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(_UpperCAmelCase      ,   -1					)





def   _lowercase       (    _UpperCAmelCase					)    ->	str:
				if not balanced_parentheses(_UpperCAmelCase					):
								raise ValueError("""Mismatched parentheses"""					)
				lowerCamelCase									=Stack()
				lowerCamelCase									=[]
				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()
							UpperCAmelCase__    :      Dict       					='''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()





