"""simple docstring"""




import numpy as np
class 						__A							:






     def __init__(		self  ):
       _lowerCAmelCase						:       Optional[Any]  			=     (0, 0)
       _lowerCAmelCase						:       Optional[Any]  			=     None
       _lowerCAmelCase						:       int  			=     0
       _lowerCAmelCase						:       str  			=     0
       _lowerCAmelCase						:       Union[str, Any]  			=     0






     def __eq__(		self				,     a__  ):
       return self.position == cell.position






     def     __A  (		self  ):
       print(self.position  )







class 						__A							:






     def __init__(		self				,     a__=(5, 5)  ):
       _lowerCAmelCase						:       List[Any]  			=     np.zeros(a__  )
       _lowerCAmelCase						:       List[str]  			=     world_size[0]
       _lowerCAmelCase						:       List[str]  			=     world_size[1]






     def     __A  (		self  ):
       print(self.w  )






     def     __A  (		self				,     a__  ):
       _lowerCAmelCase						:       Dict  			=     [
           (-1, -1),
           (-1, 0),
           (-1, 1),
           (0, -1),
           (0, 1),
           (1, -1),
           (1, 0),
           (1, 1),
       ]
       _lowerCAmelCase						:       Optional[Any]  			=     cell.position[0]
       _lowerCAmelCase						:       str  			=     cell.position[1]
       _lowerCAmelCase						:       Any  			=     []
       for n in neughbour_cord:
         _lowerCAmelCase						:       List[str]  			=     current_x + n[0]
         _lowerCAmelCase						:       List[str]  			=     current_y + n[1]
         if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
           _lowerCAmelCase						:       Optional[int]  			=     Cell()
           _lowerCAmelCase						:       List[str]  			=     (x, y)
           _lowerCAmelCase						:       Optional[int]  			=     cell
           neighbours.append(a__  )
       return neighbours







def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       List[str]			,_lowerCamelCase						:       Optional[int]			,_lowerCamelCase						:       List[Any]	)       ->      Union[str, Any]:
  _lowerCAmelCase						:       List[Any]  			=     []
  _lowerCAmelCase						:       Any  			=     []
  _open.append(_lowerCamelCase	)

  while _open:
    _lowerCAmelCase						:       List[str]  			=     np.argmin([n.f for n in _open]	)
    _lowerCAmelCase						:       int  			=     _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
      _lowerCAmelCase						:       Any  			=     current.g + 1
      _lowerCAmelCase			,	_lowerCAmelCase						:       Tuple  			=     n.position
      _lowerCAmelCase			,	_lowerCAmelCase						:       Dict  			=     goal.position
      _lowerCAmelCase						:       Union[str, Any]  			=     (ya - ya) ** 2 + (xa - xa) ** 2
      _lowerCAmelCase						:       List[Any]  			=     n.h + n.g

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


if __name__ == "__main__":
     _a      :		Any           =   Gridworld()
     # Start position and goal
     _a      :		Optional[int]           =   Cell()
     _a      :		Dict           =   (0, 0)
     _a      :		Dict           =   Cell()
     _a      :		Union[str, Any]           =   (4, 4)
     print(F"""path from {start.position} to {goal.position}""")
     _a      :		List[str]           =   astar(world, start, goal)
     #   Just for visual reasons.
     for i in s:
          _a      :		Optional[Any]           =   1
     print(world.w)





"""simple docstring"""




def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       int = 50	)       ->      int:
  _lowerCAmelCase						:       int  			=     [1] * (length + 1)

  for row_length in range(3			,length + 1	):
    for block_length in range(3			,row_length + 1	):
      for block_start in range(row_length - block_length	):
        ways_number[row_length] += ways_number[
            row_length - block_start - block_length - 1
        ]

      ways_number[row_length] += 1

  return ways_number[length]


if __name__ == "__main__":
     print(F"""{solution() = }""")




