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()




def       a__      (					a  ,   a  ,   a  ,   a  ,   a  ,   a  ,   )		->	tuple[list[list[int]], list[list[str]]]:
       A_							:       Optional[Any]	      =				list(a							)
       A_							:       int	      =				list(a							)
       A_							:       Union[str, Any]	      =				len(a							)
       A_							:       Any	      =				len(a							)

       A_							:       Union[str, Any]	      =				[
           [0 for _ in range(len_destination_seq + 1							)] for _ in range(len_source_seq + 1							)
       ]
       A_							:       Optional[int]	      =				[
           ['''0''' for _ in range(len_destination_seq + 1							)] for _ in range(len_source_seq + 1							)
       ]

       for i in range(1  ,   len_source_seq + 1							):
              A_							:       List[Any]	      =				i * delete_cost
              A_							:       List[Any]	      =				f"""D{source_seq[i - 1]:c}"""

       for i in range(1  ,   len_destination_seq + 1							):
              A_							:       Optional[Any]	      =				i * insert_cost
              A_							:       str	      =				f"""I{destination_seq[i - 1]:c}"""

       for i in range(1  ,   len_source_seq + 1							):
              for j in range(1  ,   len_destination_seq + 1							):
                     if source_seq[i - 1] == destination_seq[j - 1]:
                            A_							:       List[Any]	      =				costs[i - 1][j - 1] + copy_cost
                            A_							:       Tuple	      =				f"""C{source_seq[i - 1]:c}"""
                     else:
                            A_							:       Union[str, Any]	      =				costs[i - 1][j - 1] + replace_cost
                            A_							:       Dict	      =				f"""R{source_seq[i - 1]:c}""" + str(destination_seq[j - 1]							)

                     if costs[i - 1][j] + delete_cost < costs[i][j]:
                            A_							:       Dict	      =				costs[i - 1][j] + delete_cost
                            A_							:       Optional[int]	      =				f"""D{source_seq[i - 1]:c}"""

                     if costs[i][j - 1] + insert_cost < costs[i][j]:
                            A_							:       List[Any]	      =				costs[i][j - 1] + insert_cost
                            A_							:       Tuple	      =				f"""I{destination_seq[j - 1]:c}"""

       return costs, ops


def       a__      (					a  ,   a  ,   a							)		->	list[str]:
       if i == 0 and j == 0:
              return []
       else:
              if ops[i][j][0] == "C" or ops[i][j][0] == "R":
                     A_							:       Tuple	      =				assemble_transformation(a  ,   i - 1  ,   j - 1							)
                     seq.append(ops[i][j]							)
                     return seq
              elif ops[i][j][0] == "D":
                     A_							:       Any	      =				assemble_transformation(a  ,   i - 1  ,   a							)
                     seq.append(ops[i][j]							)
                     return seq
              else:
                     A_							:       Tuple	      =				assemble_transformation(a  ,   a  ,   j - 1							)
                     seq.append(ops[i][j]							)
                     return seq


if __name__ == "__main__":
    _lowerCAmelCase  ,			_lowerCAmelCase        =       compute_transform_tables('Python', 'Algorithms', -1, 1, 2, 2)

    _lowerCAmelCase        =       len(operations)
    _lowerCAmelCase        =       len(operations[0])
    _lowerCAmelCase        =       assemble_transformation(operations, m - 1, n - 1)

    _lowerCAmelCase        =       list('Python')
    _lowerCAmelCase        =       0
    _lowerCAmelCase        =       0

    with open('min_cost.txt', 'w') as file:
        for op in sequence:
            print(''.join(string))

            if op[0] == "C":
                file.write('%-16s' % 'Copy %c' % op[1])
                file.write('\t\t\t' + ''.join(string))
                file.write('\r\n')

                cost -= 1
            elif op[0] == "R":
                _lowerCAmelCase        =       op[2]

                file.write('%-16s' % ('Replace %c' % op[1] + ' with ' + str(op[2])))
                file.write('\t\t' + ''.join(string))
                file.write('\r\n')

                cost += 1
            elif op[0] == "D":
                string.pop(i)

                file.write('%-16s' % 'Delete %c' % op[1])
                file.write('\t\t\t' + ''.join(string))
                file.write('\r\n')

                cost += 2
            else:
                string.insert(i, op[1])

                file.write('%-16s' % 'Insert %c' % op[1])
                file.write('\t\t\t' + ''.join(string))
                file.write('\r\n')

                cost += 2

            i += 1

        print(''.join(string))
        print('Cost: ', cost)

        file.write('\r\nMinimum cost: ' + str(cost))


