
"""simple docstring"""




def lowercase_  (   _snake_case   ,_snake_case   ,_snake_case						):

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

														SCREAMING_SNAKE_CASE__						:       Optional[int]           =   update_area_of_max_square(_snake_case   ,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   ,_snake_case						)

														if mat[row][col]:
																					SCREAMING_SNAKE_CASE__						:       Dict           =   1 + min([right, diagonal, down]						)
																					SCREAMING_SNAKE_CASE__						:       List[Any]           =   max(largest_square_area[0]   ,_snake_case						)
																					return sub_problem_sol
														else:
																					return 0

							SCREAMING_SNAKE_CASE__						:       int           =   [0]
							update_area_of_max_square(0   ,0						)
							return largest_square_area[0]

def lowercase_  (   _snake_case   ,_snake_case   ,_snake_case						):

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

														SCREAMING_SNAKE_CASE__						:       List[str]           =   update_area_of_max_square_using_dp_array(_snake_case   ,col + 1   ,_snake_case						)
														SCREAMING_SNAKE_CASE__						:       Tuple           =   update_area_of_max_square_using_dp_array(row + 1   ,col + 1   ,_snake_case						)
														SCREAMING_SNAKE_CASE__						:       Union[str, Any]           =   update_area_of_max_square_using_dp_array(row + 1   ,_snake_case   ,_snake_case						)

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

							SCREAMING_SNAKE_CASE__						:       int           =   [0]
							SCREAMING_SNAKE_CASE__						:       Any           =   [[-1] * cols for _ in range(_snake_case						)]
							update_area_of_max_square_using_dp_array(0   ,0   ,_snake_case						)

							return largest_square_area[0]

def lowercase_  (   _snake_case   ,_snake_case   ,_snake_case						):
							SCREAMING_SNAKE_CASE__						:       Optional[Any]           =   [[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__						:       Tuple           =   dp_array[row][col + 1]
																					SCREAMING_SNAKE_CASE__						:       Tuple           =   dp_array[row + 1][col + 1]
																					SCREAMING_SNAKE_CASE__						:       Union[str, Any]           =   dp_array[row + 1][col]

																					if mat[row][col] == 1:
																												SCREAMING_SNAKE_CASE__						:       str           =   1 + min(_snake_case   ,_snake_case   ,_snake_case						)
																												SCREAMING_SNAKE_CASE__						:       List[Any]           =   max(dp_array[row][col]   ,_snake_case						)
																					else:
																												SCREAMING_SNAKE_CASE__						:       Optional[Any]           =   0

							return largest_square_area

def lowercase_  (   _snake_case   ,_snake_case   ,_snake_case						):
							SCREAMING_SNAKE_CASE__						:       List[str]           =   [0] * (cols + 1)
							SCREAMING_SNAKE_CASE__						:       List[str]           =   [0] * (cols + 1)
							SCREAMING_SNAKE_CASE__						:       Union[str, Any]           =   0
							for row in range(rows - 1   ,-1   ,-1						):
														for col in range(cols - 1   ,-1   ,-1						):
																					SCREAMING_SNAKE_CASE__						:       Dict           =   current_row[col + 1]
																					SCREAMING_SNAKE_CASE__						:       str           =   next_row[col + 1]
																					SCREAMING_SNAKE_CASE__						:       Any           =   next_row[col]

																					if mat[row][col] == 1:
																												SCREAMING_SNAKE_CASE__						:       Union[str, Any]           =   1 + min(_snake_case   ,_snake_case   ,_snake_case						)
																												SCREAMING_SNAKE_CASE__						:       int           =   max(current_row[col]   ,_snake_case						)
																					else:
																												SCREAMING_SNAKE_CASE__						:       Dict           =   0
														SCREAMING_SNAKE_CASE__						:       Tuple           =   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]]))






"""simple docstring"""




def lowercase_  (   _snake_case						):
							if a < 0:
														raise ValueError("""Input value must be a positive integer"""						)
							elif isinstance(_snake_case   ,_snake_case						):
														raise TypeError("""Input value must be a 'int' type"""						)
							return bin(_snake_case						).count("""1"""						)


if __name__ == "__main__":
					import doctest

					doctest.testmod()




