


from __future__ import annotations




def 			a_   (					SCREAMING_SNAKE_CASE__      :   list[list[int]]	,    SCREAMING_SNAKE_CASE__      :   list[list[int]]  ):
       '''simple docstring'''





       assert len(SCREAMING_SNAKE_CASE__  ) == len(SCREAMING_SNAKE_CASE__  )

       _lowerCamelCase :	Dict						=len(SCREAMING_SNAKE_CASE__  )
       _lowerCamelCase :	List[Any]						=list(range(SCREAMING_SNAKE_CASE__  )  )
       _lowerCamelCase :	Optional[Any]						=[-1] * n  # who the donor has donated to
       _lowerCamelCase :	Optional[Any]						=[-1] * n  # who the recipient has received from
       _lowerCamelCase :	Optional[Any]						=[0] * n

       while unmatched_donors:
              _lowerCamelCase :	str						=unmatched_donors[0]
              _lowerCamelCase :	Tuple						=donor_pref[donor]
              _lowerCamelCase :	Any						=donor_preference[num_donations[donor]]
              num_donations[donor] += 1
              _lowerCamelCase :	Optional[Any]						=recipient_pref[recipient]
              _lowerCamelCase :	Tuple						=rec_record[recipient]

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






from __future__ import annotations

from collections.abc import Generator




def 			a_   (					SCREAMING_SNAKE_CASE__      :   int  ):
       '''simple docstring'''





       if not isinstance(SCREAMING_SNAKE_CASE__	,    SCREAMING_SNAKE_CASE__  ) or n < 1:
              raise Exception('Sequence only defined for positive integers'  )

       yield n
       while n != 1:
              if n % 2 == 0:
                     n //= 2
              else:
                     _lowerCamelCase :	Optional[int]						=3 * n + 1
              yield n




def 			a_   (					):
       '''simple docstring'''





       _lowerCamelCase :	Dict						=43
       _lowerCamelCase :	Dict						=tuple(collatz_sequence(SCREAMING_SNAKE_CASE__  )  )
       print(SCREAMING_SNAKE_CASE__  )
       print(F'''Collatz sequence from {n} took {len(SCREAMING_SNAKE_CASE__  )} steps.'''  )


if __name__ == "__main__":
 main()


