
def 					__magic_name__					(  __lowerCAmelCase      :		Any						,    __lowerCAmelCase      :		Dict						,    __lowerCAmelCase      :		int				)     ->  Optional[Any]:

				def update_area_of_max_square(__lowerCAmelCase      :		Union[str, Any]						,    __lowerCAmelCase      :		Any				) -> int:
								# BASE CASE
								if row >= rows or col >= cols:
												return 0

								__lowerCamelCase          =      update_area_of_max_square(A__						,    col + 1				)
								__lowerCamelCase          =      update_area_of_max_square(row + 1						,    col + 1				)
								__lowerCamelCase          =      update_area_of_max_square(row + 1						,    A__				)

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

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




def 					__magic_name__					(  __lowerCAmelCase      :		int						,    __lowerCAmelCase      :		str						,    __lowerCAmelCase      :		Union[str, Any]				)     ->  int:

				def update_area_of_max_square_using_dp_array(
				    __lowerCAmelCase      :		str						,    __lowerCAmelCase      :		Union[str, Any]						,    __lowerCAmelCase      :		Union[str, Any]				) -> 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(A__						,    col + 1						,    A__				)
								__lowerCamelCase          =      update_area_of_max_square_using_dp_array(row + 1						,    col + 1						,    A__				)
								__lowerCamelCase          =      update_area_of_max_square_using_dp_array(row + 1						,    A__						,    A__				)

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

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

				return largest_square_area[0]




def 					__magic_name__					(  __lowerCAmelCase      :		Optional[int]						,    __lowerCAmelCase      :		int						,    __lowerCAmelCase      :		int				)     ->  Union[str, Any]:
				__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(A__						,    A__						,    A__				)
																__lowerCamelCase          =      max(dp_array[row][col]						,    A__				)
												else:
																__lowerCamelCase          =      0

				return largest_square_area




def 					__magic_name__					(  __lowerCAmelCase      :		Dict						,    __lowerCAmelCase      :		int						,    __lowerCAmelCase      :		Dict				)     ->  Optional[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(A__						,    A__						,    A__				)
																__lowerCamelCase          =      max(current_row[col]						,    A__				)
												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]]))





'''simple docstring'''
def      UpperCamelCase_				(      A__  ,      A__  ,      A__						):

	def count_of_possible_combinations(A__						) -> int:
		if target < 0:
			return 0
		if target == 0:
			return 1
		return sum(count_of_possible_combinations(target - item						) for item in array						)

	return count_of_possible_combinations(A__						)






def      UpperCamelCase_				(      A__  ,      A__  ,      A__						):

	def count_of_possible_combinations_with_dp_array(
	    A__  ,      A__						) -> int:
		if target < 0:
			return 0
		if target == 0:
			return 1
		if dp_array[target] != -1:
			return dp_array[target]
		a_      				=						sum(
		    count_of_possible_combinations_with_dp_array(target - item  ,      A__						)
		    for item in array						)
		a_      				=						answer
		return answer

	a_      				=						[-1] * (target + 1)
	return count_of_possible_combinations_with_dp_array(A__  ,      A__						)






def      UpperCamelCase_				(      A__  ,      A__  ,      A__						):
	a_      				=						[0] * (target + 1)
	a_      				=						1

	for i in range(1  ,      target + 1						):
		for j in range(A__						):
			if i - array[j] >= 0:
				dp_array[i] += dp_array[i - array[j]]

	return dp_array[target]


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		lowercase__											=3
		lowercase__											=5
		lowercase__											=[1, 2, 5]
		print(combination_sum_iv(n, array, target))
