


def 						a__			(				A__,      A__,      A__				):

			def update_area_of_max_square(A__,      A__				) -> int:
						# BASE CASE
						if row >= rows or col >= cols:
									return 0

						SCREAMING_SNAKE_CASE_		:     Any					=					update_area_of_max_square(A__,      col + 1				)
						SCREAMING_SNAKE_CASE_		:     List[Any]					=					update_area_of_max_square(row + 1,      col + 1				)
						SCREAMING_SNAKE_CASE_		:     int					=					update_area_of_max_square(row + 1,      A__				)

						if mat[row][col]:
									SCREAMING_SNAKE_CASE_		:     List[str]					=					1 + min([right, diagonal, down]				)
									SCREAMING_SNAKE_CASE_		:     Union[str, Any]					=					max(largest_square_area[0],      A__				)
									return sub_problem_sol
						else:
									return 0

			SCREAMING_SNAKE_CASE_		:     Union[str, Any]					=					[0]
			update_area_of_max_square(0,      0				)
			return largest_square_area[0]






def 						a__			(				A__,      A__,      A__				):

			def update_area_of_max_square_using_dp_array(
			    A__,      A__,      A__				) -> int:
						if row >= rows or col >= cols:
									return 0
						if dp_array[row][col] != -1:
									return dp_array[row][col]

						SCREAMING_SNAKE_CASE_		:     Optional[Any]					=					update_area_of_max_square_using_dp_array(A__,      col + 1,      A__				)
						SCREAMING_SNAKE_CASE_		:     Union[str, Any]					=					update_area_of_max_square_using_dp_array(row + 1,      col + 1,      A__				)
						SCREAMING_SNAKE_CASE_		:     Optional[Any]					=					update_area_of_max_square_using_dp_array(row + 1,      A__,      A__				)

						if mat[row][col]:
									SCREAMING_SNAKE_CASE_		:     int					=					1 + min([right, diagonal, down]				)
									SCREAMING_SNAKE_CASE_		:     Optional[Any]					=					max(largest_square_area[0],      A__				)
									SCREAMING_SNAKE_CASE_		:     str					=					sub_problem_sol
									return sub_problem_sol
						else:
									return 0

			SCREAMING_SNAKE_CASE_		:     str					=					[0]
			SCREAMING_SNAKE_CASE_		:     List[Any]					=					[[-1] * cols for _ in range(A__				)]
			update_area_of_max_square_using_dp_array(0,      0,      A__				)

			return largest_square_area[0]






def 						a__			(				A__,      A__,      A__				):
			SCREAMING_SNAKE_CASE_		:     Tuple					=					[[0] * (cols + 1) for _ in range(rows + 1				)]
			SCREAMING_SNAKE_CASE_		:     str					=					0
			for row in range(rows - 1,      -1,      -1				):
						for col in range(cols - 1,      -1,      -1				):
									SCREAMING_SNAKE_CASE_		:     Any					=					dp_array[row][col + 1]
									SCREAMING_SNAKE_CASE_		:     Optional[Any]					=					dp_array[row + 1][col + 1]
									SCREAMING_SNAKE_CASE_		:     List[str]					=					dp_array[row + 1][col]

									if mat[row][col] == 1:
												SCREAMING_SNAKE_CASE_		:     int					=					1 + min(A__,      A__,      A__				)
												SCREAMING_SNAKE_CASE_		:     int					=					max(dp_array[row][col],      A__				)
									else:
												SCREAMING_SNAKE_CASE_		:     str					=					0

			return largest_square_area






def 						a__			(				A__,      A__,      A__				):
			SCREAMING_SNAKE_CASE_		:     Dict					=					[0] * (cols + 1)
			SCREAMING_SNAKE_CASE_		:     Tuple					=					[0] * (cols + 1)
			SCREAMING_SNAKE_CASE_		:     str					=					0
			for row in range(rows - 1,      -1,      -1				):
						for col in range(cols - 1,      -1,      -1				):
									SCREAMING_SNAKE_CASE_		:     int					=					current_row[col + 1]
									SCREAMING_SNAKE_CASE_		:     List[Any]					=					next_row[col + 1]
									SCREAMING_SNAKE_CASE_		:     Tuple					=					next_row[col]

									if mat[row][col] == 1:
												SCREAMING_SNAKE_CASE_		:     Any					=					1 + min(A__,      A__,      A__				)
												SCREAMING_SNAKE_CASE_		:     Any					=					max(current_row[col],      A__				)
									else:
												SCREAMING_SNAKE_CASE_		:     Union[str, Any]					=					0
						SCREAMING_SNAKE_CASE_		:     Union[str, Any]					=					current_row

			return largest_square_area


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				print(largest_square_area_in_matrix_bottom_up(2, 2, [[1, 1], [1, 1]]))









def 						a__			(				A__,      A__				):

			def get_matched_characters(A__,      A__				) -> str:
						SCREAMING_SNAKE_CASE_		:     Dict					=					[]
						SCREAMING_SNAKE_CASE_		:     Any					=					min(len(_stra				),      len(_stra				)				) // 2
						for i, l in enumerate(_stra				):
									SCREAMING_SNAKE_CASE_		:     Union[str, Any]					=					int(max(0,      i - limit				)				)
									SCREAMING_SNAKE_CASE_		:     Union[str, Any]					=					int(min(i + limit + 1,      len(_stra				)				)				)
									if l in _stra[left:right]:
												matched.append(A__				)
												SCREAMING_SNAKE_CASE_		:     List[str]					=					F'''{_stra[0:_stra.index(A__				)]} {_stra[_stra.index(A__				) + 1:]}'''

						return "".join(A__				)

			# matching characters
			SCREAMING_SNAKE_CASE_		:     Union[str, Any]					=					get_matched_characters(A__,      A__				)
			SCREAMING_SNAKE_CASE_		:     int					=					get_matched_characters(A__,      A__				)
			SCREAMING_SNAKE_CASE_		:     Any					=					len(A__				)

			# transposition
			SCREAMING_SNAKE_CASE_		:     Optional[int]					=					(
			    len([(ca, ca) for ca, ca in zip(A__,      A__				) if ca != ca]				) // 2
			)

			if not match_count:
						SCREAMING_SNAKE_CASE_		:     Dict					=					0.0
			else:
						SCREAMING_SNAKE_CASE_		:     Optional[Any]					=					(
						    1
						    / 3
						    * (
						        match_count / len(A__				)
						        + match_count / len(A__				)
						        + (match_count - transpositions) / match_count
						    )
						)

			# common prefix up to 4 characters
			SCREAMING_SNAKE_CASE_		:     List[Any]					=					0
			for ca, ca in zip(stra[:4],      stra[:4]				):
						if ca == ca:
									prefix_len += 1
						else:
									break

			return jaro + 0.1 * prefix_len * (1 - jaro)


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				print(jaro_winkler('hello', 'world'))





