

"""simple docstring"""




from __future__ import annotations

SCREAMING_SNAKE_CASE_     :			List[str]	  =			list[tuple[int, int]]

SCREAMING_SNAKE_CASE_     :			List[str]	  =			[
    [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],
]

SCREAMING_SNAKE_CASE_     :			List[Any]	  =			([-1, 0], [0, -1], [1, 0], [0, 1])  # up, left, down, right


class 		_A       :





      def __init__(  self    ,						SCREAMING_SNAKE_CASE__    ,						SCREAMING_SNAKE_CASE__    ,						SCREAMING_SNAKE_CASE__    ,						SCREAMING_SNAKE_CASE__    ,						SCREAMING_SNAKE_CASE__    ,						SCREAMING_SNAKE_CASE__    ,						)   ->					List[str]:
         lowerCamelCase__						=			pos_x
         lowerCamelCase__						=			pos_y
         lowerCamelCase__						=			(pos_y, pos_x)
         lowerCamelCase__						=			goal_x
         lowerCamelCase__						=			goal_y
         lowerCamelCase__						=			g_cost
         lowerCamelCase__						=			parent
         lowerCamelCase__						=			self.calculate_heuristic()





      def 					_lowerCamelCase  (  self		)   ->					float:
         lowerCamelCase__						=			abs(self.pos_x - self.goal_x		)
         lowerCamelCase__						=			abs(self.pos_y - self.goal_y		)
         return dx + dy





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






class 		_A       :





      def __init__(  self    ,						SCREAMING_SNAKE_CASE__    ,						SCREAMING_SNAKE_CASE__		)   ->					Union[str, Any]:
         lowerCamelCase__						=			Node(start[1]    ,						start[0]    ,						goal[1]    ,						goal[0]    ,						0    ,						SCREAMING_SNAKE_CASE__		)
         lowerCamelCase__						=			Node(goal[1]    ,						goal[0]    ,						goal[1]    ,						goal[0]    ,						99999    ,						SCREAMING_SNAKE_CASE__		)

         lowerCamelCase__						=			[self.start]
         lowerCamelCase__						=			[]

         lowerCamelCase__						=			False





      def 					_lowerCamelCase  (  self		)   ->					Path | None:
         while self.open_nodes:
            # Open Nodes are sorted using __lt__
            self.open_nodes.sort()
            lowerCamelCase__						=			self.open_nodes.pop(0		)

            if current_node.pos == self.target.pos:
               lowerCamelCase__						=			True
               return self.retrace_path(SCREAMING_SNAKE_CASE__		)

            self.closed_nodes.append(SCREAMING_SNAKE_CASE__		)
            lowerCamelCase__						=			self.get_successors(SCREAMING_SNAKE_CASE__		)

            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(SCREAMING_SNAKE_CASE__		)
               else:
                  # retrieve the best current path
                  lowerCamelCase__						=			self.open_nodes.pop(self.open_nodes.index(SCREAMING_SNAKE_CASE__		)		)

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

         if not self.reached:
            return [self.start.pos]
         return None





      def 					_lowerCamelCase  (  self    ,						SCREAMING_SNAKE_CASE__		)   ->					list[Node]:
         lowerCamelCase__						=			[]
         for action in delta:
            lowerCamelCase__						=			parent.pos_x + action[1]
            lowerCamelCase__						=			parent.pos_y + action[0]

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

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

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





      def 					_lowerCamelCase  (  self    ,						SCREAMING_SNAKE_CASE__		)   ->					Path:
         lowerCamelCase__						=			node
         lowerCamelCase__						=			[]
         while current_node is not None:
            path.append((current_node.pos_y, current_node.pos_x)		)
            lowerCamelCase__						=			current_node.parent
         path.reverse()
         return path


if __name__ == "__main__":
 SCREAMING_SNAKE_CASE_     :			Optional[Any]	  =			(0, 0)
 SCREAMING_SNAKE_CASE_     :			Optional[int]	  =			(len(grid) - 1, len(grid[0]) - 1)
 for elem in grid:
  print(elem)

 print('''------''')

 SCREAMING_SNAKE_CASE_     :			Optional[int]	  =			GreedyBestFirst(init, goal)
 SCREAMING_SNAKE_CASE_     :			Union[str, Any]	  =			greedy_bf.search()
 if path:
  for pos_x, pos_y in path:
   SCREAMING_SNAKE_CASE_     :			str	  =			2

  for elem in grid:
   print(elem)







"""simple docstring"""




from __future__ import annotations

from typing import Any



def 	UpperCAmelCase__   (				A__   )      ->      None:




   """simple docstring"""
   create_state_space_tree(A__	,    []	,    0   )



def 	UpperCAmelCase__   (				A__	,    A__	,    A__   )      ->      None:




   """simple docstring"""

   if index == len(A__   ):
      print(A__   )
      return

   create_state_space_tree(A__	,    A__	,    index + 1   )
   current_subsequence.append(sequence[index]   )
   create_state_space_tree(A__	,    A__	,    index + 1   )
   current_subsequence.pop()


if __name__ == "__main__":
     SCREAMING_SNAKE_CASE_     :			list[Any]	  =			[3, 1, 2, 4]
     generate_all_subsequences(seq)

     seq.clear()
     seq.extend(['''A''', '''B''', '''C'''])
     generate_all_subsequences(seq)




