'''simple docstring'''




def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):

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

          lowercase_					:       Optional[Any]     				=					update_area_of_max_square(SCREAMING_SNAKE_CASE_  ,       col + 1							)
          lowercase_					:       int     				=					update_area_of_max_square(row + 1  ,       col + 1							)
          lowercase_					:       Union[str, Any]     				=					update_area_of_max_square(row + 1  ,       SCREAMING_SNAKE_CASE_							)

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

     lowercase_					:       Dict     				=					[0]
     update_area_of_max_square(0  ,       0							)
     return largest_square_area[0]

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):

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

          lowercase_					:       Any     				=					update_area_of_max_square_using_dp_array(SCREAMING_SNAKE_CASE_  ,       col + 1  ,       SCREAMING_SNAKE_CASE_							)
          lowercase_					:       int     				=					update_area_of_max_square_using_dp_array(row + 1  ,       col + 1  ,       SCREAMING_SNAKE_CASE_							)
          lowercase_					:       Optional[int]     				=					update_area_of_max_square_using_dp_array(row + 1  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							)

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

     lowercase_					:       Any     				=					[0]
     lowercase_					:       Union[str, Any]     				=					[[-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 _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     lowercase_					:       List[Any]     				=					[[0] * (cols + 1) for _ in range(rows + 1							)]
     lowercase_					:       Dict     				=					0
     for row in range(rows - 1  ,       -1  ,       -1							):
          for col in range(cols - 1  ,       -1  ,       -1							):
               lowercase_					:       Any     				=					dp_array[row][col + 1]
               lowercase_					:       Any     				=					dp_array[row + 1][col + 1]
               lowercase_					:       List[str]     				=					dp_array[row + 1][col]

               if mat[row][col] == 1:
                    lowercase_					:       List[str]     				=					1 + min(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							)
                    lowercase_					:       Tuple     				=					max(dp_array[row][col]  ,       SCREAMING_SNAKE_CASE_							)
               else:
                    lowercase_					:       int     				=					0

     return largest_square_area

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     lowercase_					:       Union[str, Any]     				=					[0] * (cols + 1)
     lowercase_					:       Optional[int]     				=					[0] * (cols + 1)
     lowercase_					:       int     				=					0
     for row in range(rows - 1  ,       -1  ,       -1							):
          for col in range(cols - 1  ,       -1  ,       -1							):
               lowercase_					:       Any     				=					current_row[col + 1]
               lowercase_					:       List[Any]     				=					next_row[col + 1]
               lowercase_					:       Optional[int]     				=					next_row[col]

               if mat[row][col] == 1:
                    lowercase_					:       int     				=					1 + min(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							)
                    lowercase_					:       Optional[Any]     				=					max(current_row[col]  ,       SCREAMING_SNAKE_CASE_							)
               else:
                    lowercase_					:       List[str]     				=					0
          lowercase_					:       Optional[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'''




class       UpperCAmelCase__  (       _snake_case			):






   """simple docstring"""
   pass



class       UpperCAmelCase__  (       _snake_case			):






   """simple docstring"""
   pass



class       UpperCAmelCase__  :






   """simple docstring"""
   def __init__(self				)    ->     List[str]:
        lowercase_					:       Optional[int]     				=					[
            [],
            [],
            [],
        ]
   def 		_lowerCamelCase (self       ,				_a       ,				_a				)    ->     None:
        try:
             if len(self.queues[priority]				) >= 100:
                  raise OverflowError('Maximum queue size is 100'				)
             self.queues[priority].append(_a				)
        except IndexError:
             raise ValueError('Valid priorities are 0, 1, and 2'				)
   def 		_lowerCamelCase (self				)    ->     int:
        for queue in self.queues:
             if queue:
                  return queue.pop(0				)
        raise UnderFlowError('All queues are empty'				)





   def __str__(self				)    ->     str:
        return "\n".join(f'''Priority {i}: {q}''' for i, q in enumerate(self.queues				)				)



class       UpperCAmelCase__  :






   """simple docstring"""
   def __init__(self				)    ->     str:
        lowercase_					:       List[Any]     				=					[]
   def 		_lowerCamelCase (self       ,				_a				)    ->     None:
        if len(self.queue				) == 100:
             raise OverFlowError('Maximum queue size is 100'				)
        self.queue.append(_a				)
   def 		_lowerCamelCase (self				)    ->     int:
        if not self.queue:
             raise UnderFlowError('The queue is empty'				)
        else:
             lowercase_					:       Tuple     				=					min(self.queue				)
             self.queue.remove(_a				)
             return data





   def __str__(self				)    ->     str:
        return str(self.queue				)



def _UpperCamelCase   (       ):
     lowercase_					:       Any     				=					FixedPriorityQueue()
     fpq.enqueue(0  ,       10							)
     fpq.enqueue(1  ,       70							)
     fpq.enqueue(0  ,       100							)
     fpq.enqueue(2  ,       1							)
     fpq.enqueue(2  ,       5							)
     fpq.enqueue(1  ,       7							)
     fpq.enqueue(2  ,       4							)
     fpq.enqueue(1  ,       64							)
     fpq.enqueue(0  ,       128							)
     print(SCREAMING_SNAKE_CASE_							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(SCREAMING_SNAKE_CASE_							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)
     print(fpq.dequeue()							)

def _UpperCamelCase   (       ):
     lowercase_					:       Optional[int]     				=					ElementPriorityQueue()
     epq.enqueue(10							)
     epq.enqueue(70							)
     epq.enqueue(100							)
     epq.enqueue(1							)
     epq.enqueue(5							)
     epq.enqueue(7							)
     epq.enqueue(4							)
     epq.enqueue(64							)
     epq.enqueue(128							)
     print(SCREAMING_SNAKE_CASE_							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(SCREAMING_SNAKE_CASE_							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)
     print(epq.dequeue()							)


if __name__ == "__main__":
 fixed_priority_queue()
 element_priority_queue()




