

"""simple docstring"""



import numpy as np



class 					a						:



    """simple docstring"""



    def __init__(     self: Any       ):






         """simple docstring"""


         A__										=  (0, 0)
         A__										=  None
         A__										=  0
         A__										=  0
         A__										=  0

    def __eq__(     self: Dict    ,						UpperCamelCase: Any       ):






         """simple docstring"""


         return self.position == cell.position





    def 				UpperCamelCase	(     self: int       ):






         """simple docstring"""


         print(self.position       )



class 					a						:



    """simple docstring"""



    def __init__(     self: List[Any]    ,						UpperCamelCase: Any=(5, 5)       ):






         """simple docstring"""


         A__										=  np.zeros(UpperCamelCase       )
         A__										=  world_size[0]
         A__										=  world_size[1]

    def 				UpperCamelCase	(     self: str       ):






         """simple docstring"""


         print(self.w       )





    def 				UpperCamelCase	(     self: List[Any]    ,						UpperCamelCase: Optional[Any]       ):






         """simple docstring"""


         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  _snake_case     (    UpperCAmelCase_  :					int					,   UpperCAmelCase_  :					Dict					,   UpperCAmelCase_  :					List[str]			):
     A__										=  []
     A__										=  []
     _open.append(UpperCAmelCase_			)

     while _open:
          A__										=  np.argmin([n.f for n in _open]			)
          A__										=  _open[min_f]
          _closed.append(_open.pop(UpperCAmelCase_			)			)
          if current == goal:
               break
          for n in world.get_neigbours(UpperCAmelCase_			):
               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(UpperCAmelCase_			)
     A__										=  []
     while current.parent is not None:
          path.append(current.position			)
          A__										=  current.parent
     path.append(current.position			)
     return path[::-1]


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









"""simple docstring"""



def  _snake_case     (    UpperCAmelCase_  :					Optional[Any]					,   UpperCAmelCase_  :					Optional[Any]			):
     A__										=  [0 for i in range(r + 1			)]
     # nc0 = 1
     A__										=  1
     for i in range(1					,   n + 1			):
          # to compute current row from previous row.
          A__										=  min(UpperCAmelCase_					,   UpperCAmelCase_			)
          while j > 0:
               c[j] += c[j - 1]
               j -= 1
     return c[r]

print(binomial_coefficient(n=1_0, r=5))






