

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 __future__ import annotations







def  UpperCAmelCase_   (_lowerCAmelCase :		int     ,			_lowerCAmelCase :		list[int]     ,			_lowerCAmelCase :		list[int]     ,			_lowerCAmelCase :		int		):

			# Base Case
			if counter == 0 or capacity == 0:
						return 0

			# If weight of the nth item is more than Knapsack of capacity,
			#   then this item cannot be included in the optimal solution,
			# else return the maximum of two cases:
			#   (1) nth item included
			#   (2) not included
			if weights[counter - 1] > capacity:
						return knapsack(_lowerCAmelCase     ,			_lowerCAmelCase     ,			_lowerCAmelCase     ,			counter - 1		)
			else:
						__UpperCamelCase    :    Tuple								=      capacity - weights[counter - 1]
						__UpperCamelCase    :    List[str]								=      values[counter - 1] + knapsack(
						    _lowerCAmelCase     ,			_lowerCAmelCase     ,			_lowerCAmelCase     ,			counter - 1		)
						__UpperCamelCase    :    Dict								=      knapsack(_lowerCAmelCase     ,			_lowerCAmelCase     ,			_lowerCAmelCase     ,			counter - 1		)
						return max(_lowerCAmelCase     ,			_lowerCAmelCase		)


if __name__ == "__main__":
					import doctest

					doctest.testmod()