


import numpy as np






class      UpperCamelCase					:


   '''simple docstring'''







   def __init__(     self		):
        lowercase_       :Tuple     =       (0, 0)
        lowercase_       :List[Any]     =       None
        lowercase_       :str     =       0
        lowercase_       :Any     =       0
        lowercase_       :Optional[Any]     =       0
   def __eq__(     self   ,							UpperCamelCase_		):
        return self.position == cell.position




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






class      UpperCamelCase					:


   '''simple docstring'''







   def __init__(     self   ,							UpperCamelCase_=(5, 5)		):
        lowercase_       :Tuple     =       np.zeros(UpperCamelCase_		)
        lowercase_       :List[str]     =       world_size[0]
        lowercase_       :Tuple     =       world_size[1]
   def 		UpperCamelCase  (     self		):
        print(self.w		)




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




def     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							Union[str, Any]:
     '''simple docstring'''





     lowercase_       :Any     =       []
     lowercase_       :Any     =       []
     _open.append(_a		)

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

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


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





import math

SCREAMING_SNAKE_CASE       :		List[str]         =				10
SCREAMING_SNAKE_CASE       :		Dict         =				7
SCREAMING_SNAKE_CASE       :		int         =				BALLS_PER_COLOUR * NUM_COLOURS




def     UpperCamelCase    (      _a = 2_0		)					->							str:
     '''simple docstring'''





     lowercase_       :List[str]     =       math.comb(_a       ,		_a		)
     lowercase_       :Tuple     =       math.comb(NUM_BALLS - BALLS_PER_COLOUR       ,		_a		)

     lowercase_       :Dict     =       NUM_COLOURS * (1 - missing_colour / total)

     return f"{result:.9f}"


if __name__ == "__main__":
   print(solution(20))

