






from __future__ import annotations


def 						_A     (       SCREAMING_SNAKE_CASE__						:			List[str]  ,						SCREAMING_SNAKE_CASE__						:			Dict ):
				assert len(SCREAMING_SNAKE_CASE__ ) == len(SCREAMING_SNAKE_CASE__ )

				UpperCamelCase :str										=     len(SCREAMING_SNAKE_CASE__ )
				UpperCamelCase :Any										=     list(range(SCREAMING_SNAKE_CASE__ ) )
				UpperCamelCase :Tuple										=     [-1] * n  # who the donor has donated to
				UpperCamelCase :Any										=     [-1] * n  # who the recipient has received from
				UpperCamelCase :int										=     [0] * n

				while unmatched_donors:
								UpperCamelCase :Optional[Any]										=     unmatched_donors[0]
								UpperCamelCase :str										=     donor_pref[donor]
								UpperCamelCase :List[Any]										=     donor_preference[num_donations[donor]]
								num_donations[donor] += 1
								UpperCamelCase :Union[str, Any]										=     recipient_pref[recipient]
								UpperCamelCase :Optional[Any]										=     rec_record[recipient]

								if prev_donor != -1:
												if rec_preference.index(SCREAMING_SNAKE_CASE__ ) > rec_preference.index(SCREAMING_SNAKE_CASE__ ):
																UpperCamelCase :Optional[Any]										=     donor
																UpperCamelCase :int										=     recipient
																unmatched_donors.append(SCREAMING_SNAKE_CASE__ )
																unmatched_donors.remove(SCREAMING_SNAKE_CASE__ )
								else:
												UpperCamelCase :Union[str, Any]										=     donor
												UpperCamelCase :str										=     recipient
												unmatched_donors.remove(SCREAMING_SNAKE_CASE__ )
				return donor_record













from __future__ import annotations







class     UpperCAmelCase_		:



      """simple docstring"""
      def __init__(       self					,       SCREAMING_SNAKE_CASE_				)       ->   None:
          UpperCamelCase :Tuple										=     value
          UpperCamelCase :Node | None										=     None
          UpperCamelCase :Node | None										=     None







class     UpperCAmelCase_		:



      """simple docstring"""
      UpperCamelCase_       :      int
      def __init__(       self				)       ->   None:
          UpperCamelCase :List[Any]										=     0
      def 					UpperCAmelCase		(       self					,       SCREAMING_SNAKE_CASE_					,       SCREAMING_SNAKE_CASE_				)       ->   None:
          if node is None:
              return

          if path_sum == self.target:
              self.paths += 1

          if node.left:
              self.depth_first_search(node.left					,       path_sum + node.left.value				)
          if node.right:
              self.depth_first_search(node.right					,       path_sum + node.right.value				)




      def 					UpperCAmelCase		(       self					,       SCREAMING_SNAKE_CASE_					,       SCREAMING_SNAKE_CASE_ = None				)       ->   int:
          if node is None:
              return 0
          if target is not None:
              UpperCamelCase :Tuple										=     target

          self.depth_first_search(SCREAMING_SNAKE_CASE_					,       node.value				)
          self.path_sum(node.left				)
          self.path_sum(node.right				)

          return self.paths


if __name__ == "__main__":
 import doctest

 doctest.testmod()





