



def       UpperCAmelCase       (     _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

														lowerCAmelCase   =		update_area_of_max_square(_lowerCamelCase						, col + 1							)
														lowerCAmelCase   =		update_area_of_max_square(row + 1						, col + 1							)
														lowerCAmelCase   =		update_area_of_max_square(row + 1						, _lowerCamelCase							)

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

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



def       UpperCAmelCase       (     _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]

														lowerCAmelCase   =		update_area_of_max_square_using_dp_array(_lowerCamelCase						, col + 1						, _lowerCamelCase							)
														lowerCAmelCase   =		update_area_of_max_square_using_dp_array(row + 1						, col + 1						, _lowerCamelCase							)
														lowerCAmelCase   =		update_area_of_max_square_using_dp_array(row + 1						, _lowerCamelCase						, _lowerCamelCase							)

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

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

							return largest_square_area[0]



def       UpperCAmelCase       (     _snake_case						, _snake_case						, _snake_case							):
							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(_lowerCamelCase						, _lowerCamelCase						, _lowerCamelCase							)
																												lowerCAmelCase   =		max(dp_array[row][col]						, _lowerCamelCase							)
																					else:
																												lowerCAmelCase   =		0

							return largest_square_area



def       UpperCAmelCase       (     _snake_case						, _snake_case						, _snake_case							):
							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(_lowerCamelCase						, _lowerCamelCase						, _lowerCamelCase							)
																												lowerCAmelCase   =		max(current_row[col]						, _lowerCamelCase							)
																					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]]))









from typing import Optional

import pyspark

from .. import Features, NamedSplit
from ..download import DownloadMode
from ..packaged_modules.spark.spark import Spark
from .abc import AbstractDatasetReader


class 							__UpperCamelCase			( __UpperCAmelCase  ):





				'''simple docstring'''



				def __init__( self       , UpperCAmelCase_       , UpperCAmelCase_ = None       , UpperCAmelCase_ = None       , UpperCAmelCase_ = True       , UpperCAmelCase_ = None       , UpperCAmelCase_ = False       , UpperCAmelCase_ = None       , UpperCAmelCase_ = True       , UpperCAmelCase_ = "arrow"       , **UpperCAmelCase_       , ):
											super().__init__(
											    split=UpperCAmelCase_       , features=UpperCAmelCase_       , cache_dir=UpperCAmelCase_       , keep_in_memory=UpperCAmelCase_       , streaming=UpperCAmelCase_       , **UpperCAmelCase_       , )
											lowerCAmelCase   =		load_from_cache_file
											lowerCAmelCase   =		file_format
											lowerCAmelCase   =		Spark(
											    df=UpperCAmelCase_       , features=UpperCAmelCase_       , cache_dir=UpperCAmelCase_       , working_dir=UpperCAmelCase_       , **UpperCAmelCase_       , )






				def       __snake_case		( self						):
											if self.streaming:
																		return self.builder.as_streaming_dataset(split=self.split						)
											lowerCAmelCase   =		None if self._load_from_cache_file else DownloadMode.FORCE_REDOWNLOAD
											self.builder.download_and_prepare(
											    download_mode=UpperCAmelCase_       , file_format=self._file_format       , )
											return self.builder.as_dataset(split=self.split						)



