


"""simple docstring"""






import numpy as np


class     __lowerCamelCase  :

     '''simple docstring'''


     def __init__(      self							)       ->							List[str]:
          _a    	=				(0, 0)
          _a    	=				None
          _a    	=				0
          _a    	=				0
          _a    	=				0


     def __eq__(      self    ,				__UpperCAmelCase							)       ->							Optional[Any]:
          return self.position == cell.position





     def 							_UpperCAmelCase      (      self							)       ->							Any:
          print(self.position							)







class     __lowerCamelCase  :

     '''simple docstring'''


     def __init__(      self    ,				__UpperCAmelCase=(5, 5)							)       ->							Dict:
          _a    	=				np.zeros(__UpperCAmelCase							)
          _a    	=				world_size[0]
          _a    	=				world_size[1]


     def 							_UpperCAmelCase      (      self							)       ->							int:
          print(self.w							)





     def 							_UpperCAmelCase      (      self    ,				__UpperCAmelCase							)       ->							str:
          _a    	=				[
              (-1, -1),
              (-1, 0),
              (-1, 1),
              (0, -1),
              (0, 1),
              (1, -1),
              (1, 0),
              (1, 1),
          ]
          _a    	=				cell.position[0]
          _a    	=				cell.position[1]
          _a    	=				[]
          for n in neughbour_cord:
               _a    	=				current_x + n[0]
               _a    	=				current_y + n[1]
               if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
                    _a    	=				Cell()
                    _a    	=				(x, y)
                    _a    	=				cell
                    neighbours.append(__UpperCAmelCase							)
          return neighbours







def       A_   (   _lowerCAmelCase     :					Optional[Any],     _lowerCAmelCase     :					Union[str, Any],     _lowerCAmelCase     :					Optional[int]       ):






     """simple docstring"""

     _a    	=				[]
     _a    	=				[]
     _open.append(_lowerCAmelCase       )

     while _open:
          _a    	=				np.argmin([n.f for n in _open]       )
          _a    	=				_open[min_f]
          _closed.append(_open.pop(_lowerCAmelCase       )       )
          if current == goal:
               break
          for n in world.get_neigbours(_lowerCAmelCase       ):
               for c in _closed:
                    if c == n:
                         continue
               _a    	=				current.g + 1
               _a	,      _a    	=				n.position
               _a	,      _a    	=				goal.position
               _a    	=				(ya - ya) ** 2 + (xa - xa) ** 2
               _a    	=				n.h + n.g

               for c in _open:
                    if c == n and c.f < n.f:
                         continue
               _open.append(_lowerCAmelCase       )
     _a    	=				[]
     while current.parent is not None:
          path.append(current.position       )
          _a    	=				current.parent
     path.append(current.position       )
     return path[::-1]


if __name__ == "__main__":
   __snake_case		=       Gridworld()
   # Start position and goal
   __snake_case		=       Cell()
   __snake_case		=       (0, 0)
   __snake_case		=       Cell()
   __snake_case		=       (4, 4)
   print(f'path from {start.position} to {goal.position}')
   __snake_case		=       astar(world, start, goal)
   #   Just for visual reasons.
   for i in s:
      __snake_case		=       1
   print(world.w)



"""simple docstring"""






def       A_   (   _lowerCAmelCase     :					Dict=2_81_23       ):






     """simple docstring"""

     _a    	=				[1] * (limit + 1)

     for i in range(2,     int(limit**0.5       ) + 1       ):
          sum_divs[i * i] += i
          for k in range(i + 1,     limit // i + 1       ):
               sum_divs[k * i] += k + i

     _a    	=				set()
     _a    	=				0

     for n in range(1,     limit + 1       ):
          if sum_divs[n] > n:
               abundants.add(_lowerCAmelCase       )

          if not any((n - a in abundants) for a in abundants       ):
               res += n

     return res


if __name__ == "__main__":
   print(solution())