




def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       list[list[int]]  ):

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

										__lowerCAmelCase            = update_area_of_max_square(SCREAMING_SNAKE_CASE_   ,   col + 1  )
										__lowerCAmelCase            = update_area_of_max_square(row + 1   ,   col + 1  )
										__lowerCAmelCase            = update_area_of_max_square(row + 1   ,   SCREAMING_SNAKE_CASE_  )

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

					__lowerCAmelCase            = [0]
					update_area_of_max_square(0   ,   0  )
					return largest_square_area[0]







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       list[list[int]]  ):

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

										__lowerCAmelCase            = update_area_of_max_square_using_dp_array(SCREAMING_SNAKE_CASE_   ,   col + 1   ,   SCREAMING_SNAKE_CASE_  )
										__lowerCAmelCase            = update_area_of_max_square_using_dp_array(row + 1   ,   col + 1   ,   SCREAMING_SNAKE_CASE_  )
										__lowerCAmelCase            = update_area_of_max_square_using_dp_array(row + 1   ,   SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )

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

					__lowerCAmelCase            = [0]
					__lowerCAmelCase            = [[-1] * cols for _ in range(SCREAMING_SNAKE_CASE_  )]
					update_area_of_max_square_using_dp_array(0   ,   0   ,   SCREAMING_SNAKE_CASE_  )

					return largest_square_area[0]







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       list[list[int]]  ):
					__lowerCAmelCase            = [[0] * (cols + 1) for _ in range(rows + 1  )]
					__lowerCAmelCase            = 0
					for row in range(rows - 1   ,   -1   ,   -1  ):
										for col in range(cols - 1   ,   -1   ,   -1  ):
															__lowerCAmelCase            = dp_array[row][col + 1]
															__lowerCAmelCase            = dp_array[row + 1][col + 1]
															__lowerCAmelCase            = dp_array[row + 1][col]

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

					return largest_square_area







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       list[list[int]]  ):
					__lowerCAmelCase            = [0] * (cols + 1)
					__lowerCAmelCase            = [0] * (cols + 1)
					__lowerCAmelCase            = 0
					for row in range(rows - 1   ,   -1   ,   -1  ):
										for col in range(cols - 1   ,   -1   ,   -1  ):
															__lowerCAmelCase            = current_row[col + 1]
															__lowerCAmelCase            = next_row[col + 1]
															__lowerCAmelCase            = next_row[col]

															if mat[row][col] == 1:
																				__lowerCAmelCase            = 1 + min(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )
																				__lowerCAmelCase            = max(current_row[col]   ,   SCREAMING_SNAKE_CASE_  )
															else:
																				__lowerCAmelCase            = 0
										__lowerCAmelCase            = 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   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int  ):
					if b == 0:
										return 1
					if (b % 2) == 0:
										return actual_power(SCREAMING_SNAKE_CASE_   ,   int(b / 2  )  ) * actual_power(SCREAMING_SNAKE_CASE_   ,   int(b / 2  )  )
					else:
										return a * actual_power(SCREAMING_SNAKE_CASE_   ,   int(b / 2  )  ) * actual_power(SCREAMING_SNAKE_CASE_   ,   int(b / 2  )  )







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int  ):
					if b < 0:
										return 1 / actual_power(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )
					return actual_power(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )


if __name__ == "__main__":
					print(power(-2, -3))




