

from __future__ import annotations







def  UpperCAmelCase_   (_lowerCAmelCase :		list[list[int]]     ,			_lowerCAmelCase :		list[list[int]]		):
			assert len(_lowerCAmelCase		) == len(_lowerCAmelCase		)

			__UpperCamelCase    :    Union[str, Any]								=      len(_lowerCAmelCase		)
			__UpperCamelCase    :    List[Any]								=      list(range(_lowerCAmelCase		)		)
			__UpperCamelCase    :    List[str]								=      [-1] * n  # who the donor has donated to
			__UpperCamelCase    :    List[Any]								=      [-1] * n  # who the recipient has received from
			__UpperCamelCase    :    Optional[int]								=      [0] * n

			while unmatched_donors:
						__UpperCamelCase    :    int								=      unmatched_donors[0]
						__UpperCamelCase    :    Tuple								=      donor_pref[donor]
						__UpperCamelCase    :    Dict								=      donor_preference[num_donations[donor]]
						num_donations[donor] += 1
						__UpperCamelCase    :    Tuple								=      recipient_pref[recipient]
						__UpperCamelCase    :    Optional[int]								=      rec_record[recipient]

						if prev_donor != -1:
									if rec_preference.index(_lowerCAmelCase		) > rec_preference.index(_lowerCAmelCase		):
												__UpperCamelCase    :    Tuple								=      donor
												__UpperCamelCase    :    Union[str, Any]								=      recipient
												unmatched_donors.append(_lowerCAmelCase		)
												unmatched_donors.remove(_lowerCAmelCase		)
						else:
									__UpperCamelCase    :    str								=      donor
									__UpperCamelCase    :    List[Any]								=      recipient
									unmatched_donors.remove(_lowerCAmelCase		)
			return donor_record


from .balanced_parentheses import balanced_parentheses
from .stack import Stack







def  UpperCAmelCase_   (_lowerCAmelCase :		str		):
			return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(_lowerCAmelCase     ,			-1		)







def  UpperCAmelCase_   (_lowerCAmelCase :		str		):
			if not balanced_parentheses(_lowerCAmelCase		):
						raise ValueError("Mismatched parentheses"		)
			__UpperCamelCase    :    Stack[str]								=      Stack()
			__UpperCamelCase    :    int								=      []
			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()
					lowercase     :       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))