class  __lowerCAmelCase	:



 '''simple docstring'''

 def __init__(      self							:		List[str]	)			->				None:
        # numbermap keys are the number and its values are lists of indexes sorted
        # in ascending order
        _UpperCamelCase  :							dict[int, list[int]]	    =	{}
        # indexmap keys are an index and it's values are the number at that index
        _UpperCamelCase  :							dict[int, int]	    =	{}

 def        __snake_case       (      self							:		Optional[Any]							,      lowerCamelCase							:		list | str | range							,      lowerCamelCase							:		int	)			->				list[int]:
        if isinstance(lowerCamelCase							,      (range, str)	):
               _UpperCamelCase  :							int	    =	list(lowerCamelCase	)
        elif not isinstance(lowerCamelCase							,      lowerCamelCase	):
               raise TypeError(
                   'binary_search_delete() only accepts either a list, range or str'	)

        _UpperCamelCase  :							Optional[int]	    =	0
        _UpperCamelCase  :							List[str]	    =	len(lowerCamelCase	) - 1

        while low <= high:
               _UpperCamelCase  :							List[Any]	    =	(low + high) // 2
               if array[mid] == item:
                      array.pop(lowerCamelCase	)
                      return array
               elif array[mid] < item:
                      _UpperCamelCase  :							Any	    =	mid + 1
               else:
                      _UpperCamelCase  :							List[str]	    =	mid - 1
        raise ValueError(
            'Either the item is not in the array or the array was unsorted'	)

 def        __snake_case       (      self							:		Optional[Any]							,      lowerCamelCase							:		list | str | range							,      lowerCamelCase							:		int	)			->				list[int]:
        if isinstance(lowerCamelCase							,      (range, str)	):
               _UpperCamelCase  :							Tuple	    =	list(lowerCamelCase	)
        elif not isinstance(lowerCamelCase							,      lowerCamelCase	):
               raise TypeError(
                   'binary_search_insert() only accepts either a list, range or str'	)

        _UpperCamelCase  :							Optional[Any]	    =	0
        _UpperCamelCase  :							Any	    =	len(lowerCamelCase	) - 1

        while low <= high:
               _UpperCamelCase  :							Optional[int]	    =	(low + high) // 2
               if array[mid] == index:
                      # If the item already exists in the array,
                      # insert it after the existing item
                      array.insert(mid + 1							,      lowerCamelCase	)
                      return array
               elif array[mid] < index:
                      _UpperCamelCase  :							int	    =	mid + 1
               else:
                      _UpperCamelCase  :							int	    =	mid - 1

        # If the item doesn't exist in the array, insert it at the appropriate position
        array.insert(lowerCamelCase							,      lowerCamelCase	)
        return array

 def        __snake_case       (      self							:		int							,      lowerCamelCase							:		int							,      lowerCamelCase							:		int	)			->				None:
        # Remove previous index
        if index in self.indexmap:
               _UpperCamelCase  :							List[Any]	    =	self.indexmap[index]
               if len(self.numbermap[n]	) == 1:
                      del self.numbermap[n]
               else:
                      _UpperCamelCase  :							Optional[Any]	    =	self.binary_search_delete(self.numbermap[n]							,      lowerCamelCase	)

        # Set new index
        _UpperCamelCase  :							int	    =	number

        # Number not seen before or empty so insert number value
        if number not in self.numbermap:
               _UpperCamelCase  :							Optional[Any]	    =	[index]

        # Here we need to perform a binary search insertion in order to insert
        # The item in the correct place
        else:
               _UpperCamelCase  :							Dict	    =	self.binary_search_insert(
                   self.numbermap[number]							,      lowerCamelCase	)

 def        __snake_case       (      self							:		Any							,      lowerCamelCase							:		int	)			->				int:
        return self.numbermap.get(lowerCamelCase							,      [-1]	)[0]


if __name__ == "__main__":
 import doctest

 doctest.testmod()









'''simple docstring'''







from __future__ import annotations





def 		snake_case_				(_a      :				list[list[int]]       ,  _a      :				list[list[int]]	):
    assert len(_a	) == len(_a	)

    UpperCAmelCase     			=						len(_a	)
    UpperCAmelCase     			=						list(range(_a	)	)
    UpperCAmelCase     			=						[-1] * n  # who the donor has donated to
    UpperCAmelCase     			=						[-1] * n  # who the recipient has received from
    UpperCAmelCase     			=						[0] * n

    while unmatched_donors:
        UpperCAmelCase     			=						unmatched_donors[0]
        UpperCAmelCase     			=						donor_pref[donor]
        UpperCAmelCase     			=						donor_preference[num_donations[donor]]
        num_donations[donor] += 1
        UpperCAmelCase     			=						recipient_pref[recipient]
        UpperCAmelCase     			=						rec_record[recipient]

        if prev_donor != -1:
            if rec_preference.index(_a	) > rec_preference.index(_a	):
                UpperCAmelCase     			=						donor
                UpperCAmelCase     			=						recipient
                unmatched_donors.append(_a	)
                unmatched_donors.remove(_a	)
        else:
            UpperCAmelCase     			=						donor
            UpperCAmelCase     			=						recipient
            unmatched_donors.remove(_a	)
    return donor_record




