


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


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

			testmod()
			snake_case__  				=			'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))






import math
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:int					)							->	list:
						if n <= 0:
												raise ValueError('Only positive integers have prime factors'					)
						__magic_name__					:				Union[str, Any]				=   []
						while n % 2 == 0:
												pf.append(2					)
												__magic_name__					:				Union[str, Any]				=   int(n / 2					)
						for i in range(3   ,    int(math.sqrt(lowercase__					)					) + 1   ,    2					):
												while n % i == 0:
																		pf.append(lowercase__					)
																		__magic_name__					:				List[str]				=   int(n / i					)
						if n > 2:
												pf.append(lowercase__					)
						return pf
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:int					)							->	int:
						if n <= 0:
												raise ValueError('Only positive numbers are accepted'					)
						__magic_name__					:				Union[str, Any]				=   1
						__magic_name__					:				Tuple				=   1
						while n % 2 == 0:
												temp += 1
												__magic_name__					:				Any				=   int(n / 2					)
						div *= temp
						for i in range(3   ,    int(math.sqrt(lowercase__					)					) + 1   ,    2					):
												__magic_name__					:				List[Any]				=   1
												while n % i == 0:
																		temp += 1
																		__magic_name__					:				Any				=   int(n / i					)
												div *= temp
						if n > 1:
												div *= 2
						return div
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:int					)							->	int:
						if n <= 0:
												raise ValueError('Only positive numbers are accepted'					)
						__magic_name__					:				int				=   1
						__magic_name__					:				List[str]				=   1
						while n % 2 == 0:
												temp += 1
												__magic_name__					:				List[Any]				=   int(n / 2					)
						if temp > 1:
												s *= (2**temp - 1) / (2 - 1)
						for i in range(3   ,    int(math.sqrt(lowercase__					)					) + 1   ,    2					):
												__magic_name__					:				int				=   1
												while n % i == 0:
																		temp += 1
																		__magic_name__					:				Optional[Any]				=   int(n / i					)
												if temp > 1:
																		s *= (i**temp - 1) / (i - 1)
						return int(lowercase__					)
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:int					)							->	int:
						__magic_name__					:				Dict				=   n
						for x in set(prime_factors(lowercase__					)					):
												s *= (x - 1) / x
						return int(lowercase__					)


if __name__ == "__main__":
			import doctest

			doctest.testmod()


