




import numpy as np


class     _a						:
       def __init__(			self		:			Optional[Any]       ):



           '''simple docstring'''

           UpperCAmelCase     =	(0, 0)
           UpperCAmelCase     =	None
           UpperCAmelCase     =	0
           UpperCAmelCase     =	0
           UpperCAmelCase     =	0
       def __eq__(			self		:			Any     ,       lowercase		:			Union[str, Any]       ):



           '''simple docstring'''

           return self.position == cell.position







       def 					A   (			self		:			Tuple       ):



           '''simple docstring'''

           print(self.position       )






class     _a						:
       def __init__(			self		:			str     ,       lowercase		:			int=(5, 5)       ):



           '''simple docstring'''

           UpperCAmelCase     =	np.zeros(lowercase       )
           UpperCAmelCase     =	world_size[0]
           UpperCAmelCase     =	world_size[1]
       def 					A   (			self		:			Optional[Any]       ):



           '''simple docstring'''

           print(self.w       )







       def 					A   (			self		:			Tuple     ,       lowercase		:			Union[str, Any]       ):



           '''simple docstring'''

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






def 		snake_case_							(_a			:							Any					,     _a			:							List[Any]					,     _a			:							str  ):
    UpperCAmelCase     =	[]
    UpperCAmelCase     =	[]
    _open.append(_a  )

    while _open:
        UpperCAmelCase     =	np.argmin([n.f for n in _open]  )
        UpperCAmelCase     =	_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
            UpperCAmelCase     =	current.g + 1
            UpperCAmelCase ,  UpperCAmelCase     =	n.position
            UpperCAmelCase ,  UpperCAmelCase     =	goal.position
            UpperCAmelCase     =	(ya - ya) ** 2 + (xa - xa) ** 2
            UpperCAmelCase     =	n.h + n.g

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


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










'''simple docstring'''







def 		snake_case_							(_a			:							list[list[int]]					,     _a			:							int					,     _a			:							int					,     _a			:							list[int]  ):

    # 1. Validate that path exists between current and next vertices
    if graph[path[curr_ind - 1]][next_ver] == 0:
        return False

    # 2. Validate that next vertex is not already in path
    return not any(vertex == next_ver for vertex in path  )





def 		snake_case_							(_a			:							list[list[int]]					,     _a			:							list[int]					,     _a			:							int  ):

    # Base Case
    if curr_ind == len(_a  ):
        # return whether path exists between current and starting vertices
        return graph[path[curr_ind - 1]][path[0]] == 1

    # Recursive Step
    for next_ver in range(0					,     len(_a  )  ):
        if valid_connection(_a					,     _a					,     _a					,     _a  ):
            # Insert current vertex  into path as next transition
            UpperCAmelCase     =	next_ver
            # Validate created path
            if util_hamilton_cycle(_a					,     _a					,     curr_ind + 1  ):
                return True
            # Backtrack
            UpperCAmelCase     =	-1
    return False







def 		snake_case_							(_a			:							list[list[int]]					,     _a			:							int = 0  ):
    UpperCAmelCase     =	[-1] * (len(_a  ) + 1)
    # initialize start and end of path with starting index
    UpperCAmelCase     =	UpperCAmelCase     =	start_index
    # evaluate and if we find answer return path either return empty array
    return path if util_hamilton_cycle(_a					,     _a					,     1  ) else []




