





from __future__ import annotations

_UpperCAmelCase				:       str	   =				list[tuple[int, int]]

_UpperCAmelCase				:       int	   =				[
    [0, 0, 0, 0, 0, 0, 0],
    [0, 1, 0, 0, 0, 0, 0],  # 0 are free path whereas 1's are obstacles
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 1, 0, 0, 0, 0],
    [1, 0, 1, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 1, 0, 0],
]

_UpperCAmelCase				:       Tuple	   =				([-1, 0], [0, -1], [1, 0], [0, 1])  # up, left, down, right

class    lowerCAmelCase							:
 def __init__(      self  :      Optional[int]			,     UpperCAmelCase  :      int			,     UpperCAmelCase  :      int			,     UpperCAmelCase  :      int			,     UpperCAmelCase  :      int			,     UpperCAmelCase  :      float			,     UpperCAmelCase  :      Node | None			,     )			->	Optional[int]:
     lowerCamelCase__    :      Union[str, Any]					 =		pos_x
     lowerCamelCase__    :      List[Any]					 =		pos_y
     lowerCamelCase__    :      Union[str, Any]					 =		(pos_y, pos_x)
     lowerCamelCase__    :      Optional[Any]					 =		goal_x
     lowerCamelCase__    :      Optional[int]					 =		goal_y
     lowerCamelCase__    :      str					 =		g_cost
     lowerCamelCase__    :      int					 =		parent
     lowerCamelCase__    :      Union[str, Any]					 =		self.calculate_heuristic()
 def      A_	(      self  :      Optional[Any]	)			->	float:
     lowerCamelCase__    :      Dict					 =		abs(self.pos_x - self.goal_x	)
     lowerCamelCase__    :      int					 =		abs(self.pos_y - self.goal_y	)
     return dx + dy







 def __lt__(      self  :      int			,     UpperCAmelCase  :      int	)			->	bool:
     return self.f_cost < other.f_cost


class    lowerCAmelCase							:
 def __init__(      self  :      List[str]			,     UpperCAmelCase  :      tuple[int, int]			,     UpperCAmelCase  :      tuple[int, int]	)			->	Union[str, Any]:
     lowerCamelCase__    :      Tuple					 =		Node(start[1]			,     start[0]			,     goal[1]			,     goal[0]			,     0			,     UpperCAmelCase	)
     lowerCamelCase__    :      Tuple					 =		Node(goal[1]			,     goal[0]			,     goal[1]			,     goal[0]			,     99999			,     UpperCAmelCase	)

     lowerCamelCase__    :      List[str]					 =		[self.start]
     lowerCamelCase__    :      list[Node]					 =		[]

     lowerCamelCase__    :      Tuple					 =		False
 def      A_	(      self  :      Any	)			->	Path | None:
     while self.open_nodes:
         # Open Nodes are sorted using __lt__
         self.open_nodes.sort()
         lowerCamelCase__    :      Optional[Any]					 =		self.open_nodes.pop(0	)

         if current_node.pos == self.target.pos:
             lowerCamelCase__    :      Optional[int]					 =		True
             return self.retrace_path(UpperCAmelCase	)

         self.closed_nodes.append(UpperCAmelCase	)
         lowerCamelCase__    :      List[Any]					 =		self.get_successors(UpperCAmelCase	)

         for child_node in successors:
             if child_node in self.closed_nodes:
                 continue

             if child_node not in self.open_nodes:
                 self.open_nodes.append(UpperCAmelCase	)
             else:
                 # retrieve the best current path
                 lowerCamelCase__    :      Optional[Any]					 =		self.open_nodes.pop(self.open_nodes.index(UpperCAmelCase	)	)

                 if child_node.g_cost < better_node.g_cost:
                     self.open_nodes.append(UpperCAmelCase	)
                 else:
                     self.open_nodes.append(UpperCAmelCase	)

     if not self.reached:
         return [self.start.pos]
     return None
 def      A_	(      self  :      int			,     UpperCAmelCase  :      Node	)			->	list[Node]:
     lowerCamelCase__    :      List[Any]					 =		[]
     for action in delta:
         lowerCamelCase__    :      Union[str, Any]					 =		parent.pos_x + action[1]
         lowerCamelCase__    :      Any					 =		parent.pos_y + action[0]

         if not (0 <= pos_x <= len(grid[0]	) - 1 and 0 <= pos_y <= len(UpperCAmelCase	) - 1):
             continue

         if grid[pos_y][pos_x] != 0:
             continue

         successors.append(
             Node(
                 UpperCAmelCase			,     UpperCAmelCase			,     self.target.pos_y			,     self.target.pos_x			,     parent.g_cost + 1			,     UpperCAmelCase			,     )	)
     return successors







 def      A_	(      self  :      Tuple			,     UpperCAmelCase  :      Node | None	)			->	Path:
     lowerCamelCase__    :      Optional[Any]					 =		node
     lowerCamelCase__    :      Any					 =		[]
     while current_node is not None:
         path.append((current_node.pos_y, current_node.pos_x)	)
         lowerCamelCase__    :      Optional[int]					 =		current_node.parent
     path.reverse()
     return path


if __name__ == "__main__":
    _UpperCAmelCase				:       Tuple	   =				(0, 0)
    _UpperCAmelCase				:       Tuple	   =				(len(grid) - 1, len(grid[0]) - 1)
    for elem in grid:
        print(elem)

    print("""------""")

    _UpperCAmelCase				:       str	   =				GreedyBestFirst(init, goal)
    _UpperCAmelCase				:       int	   =				greedy_bf.search()
    if path:
        for pos_x, pos_y in path:
            _UpperCAmelCase				:       int	   =				2

        for elem in grid:
            print(elem)












def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase						,	_UpperCAmelCase )			->     bool:
    lowerCamelCase__    :      List[str]					 =		len(_UpperCAmelCase )
    lowerCamelCase__    :      str					 =		[[False] * (required_sum + 1) for _ in range(arr_len + 1 )]

    # for each arr value, a sum of zero(0) can be formed by not taking any element
    # hence True/1
    for i in range(arr_len + 1 ):
        lowerCamelCase__    :      Tuple					 =		True

    # sum is not zero and set is empty then false
    for i in range(1						,	required_sum + 1 ):
        lowerCamelCase__    :      Dict					 =		False

    for i in range(1						,	arr_len + 1 ):
        for j in range(1						,	required_sum + 1 ):
            if arr[i - 1] > j:
                lowerCamelCase__    :      str					 =		subset[i - 1][j]
            if arr[i - 1] <= j:
                lowerCamelCase__    :      Dict					 =		subset[i - 1][j] or subset[i - 1][j - arr[i - 1]]

    return subset[arr_len][required_sum]


if __name__ == "__main__":
    import doctest

    doctest.testmod()





