



"""simple docstring"""

def       __magic_name__    (   _lowerCamelCase				: int  ,       _lowerCamelCase				: int  ,       _lowerCamelCase				: list[list[int]]					):

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

														__a		:		Optional[int]									=       update_area_of_max_square(_lowerCamelCase  ,       col + 1					)
														__a		:		Optional[Any]									=       update_area_of_max_square(row + 1  ,       col + 1					)
														__a		:		Optional[Any]									=       update_area_of_max_square(row + 1  ,       _lowerCamelCase					)

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

							__a		:		List[Any]									=       [0]
							update_area_of_max_square(0  ,       0					)
							return largest_square_area[0]





def       __magic_name__    (   _lowerCamelCase				: int  ,       _lowerCamelCase				: int  ,       _lowerCamelCase				: list[list[int]]					):

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

														__a		:		Optional[int]									=       update_area_of_max_square_using_dp_array(_lowerCamelCase  ,       col + 1  ,       _lowerCamelCase					)
														__a		:		int									=       update_area_of_max_square_using_dp_array(row + 1  ,       col + 1  ,       _lowerCamelCase					)
														__a		:		Any									=       update_area_of_max_square_using_dp_array(row + 1  ,       _lowerCamelCase  ,       _lowerCamelCase					)

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

							__a		:		List[str]									=       [0]
							__a		:		Tuple									=       [[-1] * cols for _ in range(_lowerCamelCase					)]
							update_area_of_max_square_using_dp_array(0  ,       0  ,       _lowerCamelCase					)

							return largest_square_area[0]





def       __magic_name__    (   _lowerCamelCase				: int  ,       _lowerCamelCase				: int  ,       _lowerCamelCase				: list[list[int]]					):
							__a		:		Optional[Any]									=       [[0] * (cols + 1) for _ in range(rows + 1					)]
							__a		:		List[Any]									=       0
							for row in range(rows - 1  ,       -1  ,       -1					):
														for col in range(cols - 1  ,       -1  ,       -1					):
																					__a		:		int									=       dp_array[row][col + 1]
																					__a		:		List[str]									=       dp_array[row + 1][col + 1]
																					__a		:		Union[str, Any]									=       dp_array[row + 1][col]

																					if mat[row][col] == 1:
																												__a		:		Any									=       1 + min(_lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)
																												__a		:		Tuple									=       max(dp_array[row][col]  ,       _lowerCamelCase					)
																					else:
																												__a		:		Optional[Any]									=       0

							return largest_square_area





def       __magic_name__    (   _lowerCamelCase				: int  ,       _lowerCamelCase				: int  ,       _lowerCamelCase				: list[list[int]]					):
							__a		:		Optional[int]									=       [0] * (cols + 1)
							__a		:		int									=       [0] * (cols + 1)
							__a		:		Tuple									=       0
							for row in range(rows - 1  ,       -1  ,       -1					):
														for col in range(cols - 1  ,       -1  ,       -1					):
																					__a		:		Tuple									=       current_row[col + 1]
																					__a		:		Tuple									=       next_row[col + 1]
																					__a		:		List[str]									=       next_row[col]

																					if mat[row][col] == 1:
																												__a		:		Any									=       1 + min(_lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)
																												__a		:		Tuple									=       max(current_row[col]  ,       _lowerCamelCase					)
																					else:
																												__a		:		Any									=       0
														__a		:		int									=       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"""

import unittest

from knapsack import knapsack as k




class SCREAMING_SNAKE_CASE__					(		unittest.TestCase      ):



						def     lowerCAmelCase__(self							):





													'''simple docstring'''

													__a		:		str									=       0
													__a		:		Optional[Any]									=       [0]
													__a		:		int									=       [0]
													__a		:		str									=       len(_lowercase							)
													self.assertEqual(k.knapsack(_lowercase						,     _lowercase						,     _lowercase						,     _lowercase							)						,     0							)

													__a		:		int									=       [60]
													__a		:		Union[str, Any]									=       [10]
													__a		:		Tuple									=       len(_lowercase							)
													self.assertEqual(k.knapsack(_lowercase						,     _lowercase						,     _lowercase						,     _lowercase							)						,     0							)



						def     lowerCAmelCase__(self							):





													'''simple docstring'''

													__a		:		int									=       3
													__a		:		str									=       [1, 2, 3]
													__a		:		Optional[Any]									=       [3, 2, 1]
													__a		:		int									=       len(_lowercase							)
													self.assertEqual(k.knapsack(_lowercase						,     _lowercase						,     _lowercase						,     _lowercase							)						,     5							)





						def     lowerCAmelCase__(self							):





													'''simple docstring'''

													__a		:		Dict									=       50
													__a		:		Tuple									=       [60, 100, 120]
													__a		:		List[str]									=       [10, 20, 30]
													__a		:		Union[str, Any]									=       len(_lowercase							)
													self.assertEqual(k.knapsack(_lowercase						,     _lowercase						,     _lowercase						,     _lowercase							)						,     220							)


if __name__ == "__main__":
	unittest.main()

