





def  SCREAMING_SNAKE_CASE   ( _UpperCAmelCase		,			_UpperCAmelCase		,			_UpperCAmelCase				)    ->  Union[str, Any]:

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

        lowerCamelCase__					:   Union[str, Any]      				=	update_area_of_max_square(_UpperCAmelCase		,			col + 1				)
        lowerCamelCase__					:   Optional[int]      				=	update_area_of_max_square(row + 1		,			col + 1				)
        lowerCamelCase__					:   Dict      				=	update_area_of_max_square(row + 1		,			_UpperCAmelCase				)

        if mat[row][col]:
            lowerCamelCase__					:   int      				=	1 + min([right, diagonal, down]				)
            lowerCamelCase__					:   Dict      				=	max(largest_square_area[0]		,			_UpperCAmelCase				)
            return sub_problem_sol
        else:
            return 0

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


def  SCREAMING_SNAKE_CASE   ( _UpperCAmelCase		,			_UpperCAmelCase		,			_UpperCAmelCase				)    ->  Tuple:

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

        lowerCamelCase__					:   List[Any]      				=	update_area_of_max_square_using_dp_array(_UpperCAmelCase		,			col + 1		,			_UpperCAmelCase				)
        lowerCamelCase__					:   List[str]      				=	update_area_of_max_square_using_dp_array(row + 1		,			col + 1		,			_UpperCAmelCase				)
        lowerCamelCase__					:   Tuple      				=	update_area_of_max_square_using_dp_array(row + 1		,			_UpperCAmelCase		,			_UpperCAmelCase				)

        if mat[row][col]:
            lowerCamelCase__					:   Optional[Any]      				=	1 + min([right, diagonal, down]				)
            lowerCamelCase__					:   Optional[int]      				=	max(largest_square_area[0]		,			_UpperCAmelCase				)
            lowerCamelCase__					:   Any      				=	sub_problem_sol
            return sub_problem_sol
        else:
            return 0

    lowerCamelCase__					:   List[str]      				=	[0]
    lowerCamelCase__					:   List[Any]      				=	[[-1] * cols for _ in range(_UpperCAmelCase				)]
    update_area_of_max_square_using_dp_array(0		,			0		,			_UpperCAmelCase				)

    return largest_square_area[0]


def  SCREAMING_SNAKE_CASE   ( _UpperCAmelCase		,			_UpperCAmelCase		,			_UpperCAmelCase				)    ->  Optional[int]:
    lowerCamelCase__					:   int      				=	[[0] * (cols + 1) for _ in range(rows + 1				)]
    lowerCamelCase__					:   List[str]      				=	0
    for row in range(rows - 1		,			-1		,			-1				):
        for col in range(cols - 1		,			-1		,			-1				):
            lowerCamelCase__					:   List[str]      				=	dp_array[row][col + 1]
            lowerCamelCase__					:   Optional[Any]      				=	dp_array[row + 1][col + 1]
            lowerCamelCase__					:   Dict      				=	dp_array[row + 1][col]

            if mat[row][col] == 1:
                lowerCamelCase__					:   Optional[Any]      				=	1 + min(_UpperCAmelCase		,			_UpperCAmelCase		,			_UpperCAmelCase				)
                lowerCamelCase__					:   Optional[Any]      				=	max(dp_array[row][col]		,			_UpperCAmelCase				)
            else:
                lowerCamelCase__					:   Union[str, Any]      				=	0

    return largest_square_area


def  SCREAMING_SNAKE_CASE   ( _UpperCAmelCase		,			_UpperCAmelCase		,			_UpperCAmelCase				)    ->  int:
    lowerCamelCase__					:   Optional[Any]      				=	[0] * (cols + 1)
    lowerCamelCase__					:   List[str]      				=	[0] * (cols + 1)
    lowerCamelCase__					:   Optional[int]      				=	0
    for row in range(rows - 1		,			-1		,			-1				):
        for col in range(cols - 1		,			-1		,			-1				):
            lowerCamelCase__					:   List[str]      				=	current_row[col + 1]
            lowerCamelCase__					:   Union[str, Any]      				=	next_row[col + 1]
            lowerCamelCase__					:   Tuple      				=	next_row[col]

            if mat[row][col] == 1:
                lowerCamelCase__					:   List[Any]      				=	1 + min(_UpperCAmelCase		,			_UpperCAmelCase		,			_UpperCAmelCase				)
                lowerCamelCase__					:   Union[str, Any]      				=	max(current_row[col]		,			_UpperCAmelCase				)
            else:
                lowerCamelCase__					:   Union[str, Any]      				=	0
        lowerCamelCase__					:   List[str]      				=	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 ..utils import DummyObject, requires_backends

class      lowerCAmelCase							(      metaclass=__UpperCamelCase    ):
 UpperCAmelCase__									=	["""torch""", """transformers""", """onnx"""]
 def __init__(   self						:   Tuple    ,  *UpperCAmelCase						:   str    ,  **UpperCAmelCase						:   Optional[int]			)    ->			List[str]:
     requires_backends(self    ,  ['torch', 'transformers', 'onnx']			)
 @classmethod
 def   A_			(   cls						:   Union[str, Any]    ,  *UpperCAmelCase						:   Dict    ,  **UpperCAmelCase						:   List[str]			)    ->			int:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)







 @classmethod
 def   A_			(   cls						:   Any    ,  *UpperCAmelCase						:   List[Any]    ,  **UpperCAmelCase						:   Tuple			)    ->			Union[str, Any]:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)


class      lowerCAmelCase							(      metaclass=__UpperCamelCase    ):
 UpperCAmelCase__									=	["""torch""", """transformers""", """onnx"""]
 def __init__(   self						:   List[Any]    ,  *UpperCAmelCase						:   Union[str, Any]    ,  **UpperCAmelCase						:   Dict			)    ->			Any:
     requires_backends(self    ,  ['torch', 'transformers', 'onnx']			)
 @classmethod
 def   A_			(   cls						:   str    ,  *UpperCAmelCase						:   Union[str, Any]    ,  **UpperCAmelCase						:   Union[str, Any]			)    ->			Tuple:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)







 @classmethod
 def   A_			(   cls						:   List[Any]    ,  *UpperCAmelCase						:   str    ,  **UpperCAmelCase						:   Dict			)    ->			str:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)


class      lowerCAmelCase							(      metaclass=__UpperCamelCase    ):
 UpperCAmelCase__									=	["""torch""", """transformers""", """onnx"""]
 def __init__(   self						:   Dict    ,  *UpperCAmelCase						:   Dict    ,  **UpperCAmelCase						:   Dict			)    ->			Optional[int]:
     requires_backends(self    ,  ['torch', 'transformers', 'onnx']			)
 @classmethod
 def   A_			(   cls						:   Optional[Any]    ,  *UpperCAmelCase						:   Union[str, Any]    ,  **UpperCAmelCase						:   Any			)    ->			Any:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)







 @classmethod
 def   A_			(   cls						:   List[str]    ,  *UpperCAmelCase						:   Any    ,  **UpperCAmelCase						:   Dict			)    ->			Tuple:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)


class      lowerCAmelCase							(      metaclass=__UpperCamelCase    ):
 UpperCAmelCase__									=	["""torch""", """transformers""", """onnx"""]
 def __init__(   self						:   Union[str, Any]    ,  *UpperCAmelCase						:   Optional[int]    ,  **UpperCAmelCase						:   Optional[int]			)    ->			Any:
     requires_backends(self    ,  ['torch', 'transformers', 'onnx']			)
 @classmethod
 def   A_			(   cls						:   List[Any]    ,  *UpperCAmelCase						:   Dict    ,  **UpperCAmelCase						:   int			)    ->			Dict:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)







 @classmethod
 def   A_			(   cls						:   Dict    ,  *UpperCAmelCase						:   Dict    ,  **UpperCAmelCase						:   Optional[int]			)    ->			Optional[int]:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)


class      lowerCAmelCase							(      metaclass=__UpperCamelCase    ):
 UpperCAmelCase__									=	["""torch""", """transformers""", """onnx"""]
 def __init__(   self						:   List[str]    ,  *UpperCAmelCase						:   List[Any]    ,  **UpperCAmelCase						:   List[str]			)    ->			Optional[int]:
     requires_backends(self    ,  ['torch', 'transformers', 'onnx']			)
 @classmethod
 def   A_			(   cls						:   List[Any]    ,  *UpperCAmelCase						:   Optional[Any]    ,  **UpperCAmelCase						:   Optional[Any]			)    ->			str:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)







 @classmethod
 def   A_			(   cls						:   List[Any]    ,  *UpperCAmelCase						:   Optional[int]    ,  **UpperCAmelCase						:   Any			)    ->			Any:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)


class      lowerCAmelCase							(      metaclass=__UpperCamelCase    ):
 UpperCAmelCase__									=	["""torch""", """transformers""", """onnx"""]
 def __init__(   self						:   List[str]    ,  *UpperCAmelCase						:   Tuple    ,  **UpperCAmelCase						:   Optional[int]			)    ->			Optional[Any]:
     requires_backends(self    ,  ['torch', 'transformers', 'onnx']			)
 @classmethod
 def   A_			(   cls						:   Union[str, Any]    ,  *UpperCAmelCase						:   List[Any]    ,  **UpperCAmelCase						:   Optional[Any]			)    ->			Tuple:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)







 @classmethod
 def   A_			(   cls						:   Tuple    ,  *UpperCAmelCase						:   List[str]    ,  **UpperCAmelCase						:   List[str]			)    ->			Tuple:
     requires_backends(cls    ,  ['torch', 'transformers', 'onnx']			)





