


"""simple docstring"""



from collections import deque







def 						__lowerCAmelCase		(		lowercase						:						Any				)			->		List[Any]:


    """simple docstring"""





    snake_case					:   Tuple         =					len(lowercase				)
    snake_case					:   Optional[int]         =					deque()
    snake_case					:   Union[str, Any]         =					[False for _ in range(lowercase				)]
    snake_case					:   Optional[Any]         =					[-1 for _ in range(lowercase				)]
    snake_case					:   Optional[Any]         =					index_of[:]

    def strong_connect(lowercase						:						str		,							lowercase						:						Any		,							lowercase						:						Dict				):
        snake_case					:   Tuple         =					index  # the number when this node is seen
        snake_case					:   Optional[int]         =					index  # lowest rank node reachable from here
        index += 1
        stack.append(lowercase				)
        snake_case					:   Optional[int]         =					True

        for w in g[v]:
            if index_of[w] == -1:
                snake_case					:   Any         =					strong_connect(lowercase		,							lowercase		,							lowercase				)
                snake_case					:   Optional[int]         =					(
                    lowlink_of[w] if lowlink_of[w] < lowlink_of[v] else lowlink_of[v]
                )
            elif on_stack[w]:
                snake_case					:   Optional[int]         =					(
                    lowlink_of[w] if lowlink_of[w] < lowlink_of[v] else lowlink_of[v]
                )

        if lowlink_of[v] == index_of[v]:
            snake_case					:   int         =					[]
            snake_case					:   Dict         =					stack.pop()
            snake_case					:   List[Any]         =					False
            component.append(lowercase				)
            while w != v:
                snake_case					:   Tuple         =					stack.pop()
                snake_case					:   str         =					False
                component.append(lowercase				)
            components.append(lowercase				)
        return index

    snake_case					:   Any         =					[]
    for v in range(lowercase				):
        if index_of[v] == -1:
            strong_connect(lowercase		,							0		,							lowercase				)

    return components







def 						__lowerCAmelCase		(		lowercase						:						Optional[Any]		,							lowercase						:						Optional[Any]				)			->		Optional[Any]:


    """simple docstring"""





    snake_case					:   Optional[int]         =					[[] for _ in range(lowercase				)]
    for u, v in edges:
        g[u].append(lowercase				)
    return g


if __name__ == "__main__":
  # Test
  __snake_case         =					7
  __snake_case         =					[0, 0, 1, 2, 3, 3, 4, 4, 6]
  __snake_case         =					[1, 3, 2, 0, 1, 4, 5, 6, 5]
  __snake_case         =					[(u, v) for u, v in zip(source, target)]
  __snake_case         =					create_graph(n_vertices, edges)

  assert [[5], [6], [4], [3, 2, 1, 0]] == tarjan(g)









"""simple docstring"""



from __future__ import annotations

__snake_case         =					list[tuple[int, int]]

__snake_case         =					[
    [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],
]

__snake_case         =					([-1, 0], [0, -1], [1, 0], [0, 1])  # up, left, down, right







class _lowerCAmelCase       :







   def __init__(			self		,			UpperCamelCase__		,			UpperCamelCase__		,			UpperCamelCase__		,			UpperCamelCase__		,			UpperCamelCase__		,			UpperCamelCase__		,			)			->	str:

       '''simple docstring'''




       snake_case					:   int         =					pos_x
       snake_case					:   List[str]         =					pos_y
       snake_case					:   List[Any]         =					(pos_y, pos_x)
       snake_case					:   Optional[int]         =					goal_x
       snake_case					:   Dict         =					goal_y
       snake_case					:   Any         =					g_cost
       snake_case					:   List[Any]         =					parent
       snake_case					:   Union[str, Any]         =					self.calculate_heuristic()







   def 				lowerCamelCase	(			self		)			->	float:

       '''simple docstring'''




       snake_case					:   Optional[Any]         =					abs(self.pos_x - self.goal_x		)
       snake_case					:   Dict         =					abs(self.pos_y - self.goal_y		)
       return dx + dy







   def __lt__(			self		,			UpperCamelCase__		)			->	bool:

       '''simple docstring'''




       return self.f_cost < other.f_cost







class _lowerCAmelCase       :







   def __init__(			self		,			UpperCamelCase__		,			UpperCamelCase__		)			->	List[Any]:

       '''simple docstring'''




       snake_case					:   int         =					Node(start[1]		,			start[0]		,			goal[1]		,			goal[0]		,			0		,			UpperCamelCase__		)
       snake_case					:   List[Any]         =					Node(goal[1]		,			goal[0]		,			goal[1]		,			goal[0]		,			9_9999		,			UpperCamelCase__		)

       snake_case					:   Tuple         =					[self.start]
       snake_case					:   list[Node]         =					[]

       snake_case					:   Dict         =					False







   def 				lowerCamelCase	(			self		)			->	Path | None:

       '''simple docstring'''




       while self.open_nodes:
           # Open Nodes are sorted using __lt__
           self.open_nodes.sort()
           snake_case					:   str         =					self.open_nodes.pop(0		)

           if current_node.pos == self.target.pos:
               snake_case					:   Tuple         =					True
               return self.retrace_path(UpperCamelCase__		)

           self.closed_nodes.append(UpperCamelCase__		)
           snake_case					:   Optional[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
                   snake_case					:   Dict         =					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 				lowerCamelCase	(			self		,			UpperCamelCase__		)			->	list[Node]:

       '''simple docstring'''




       snake_case					:   Dict         =					[]
       for action in delta:
           snake_case					:   Union[str, Any]         =					parent.pos_x + action[1]
           snake_case					:   str         =					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 				lowerCamelCase	(			self		,			UpperCamelCase__		)			->	Path:

       '''simple docstring'''




       snake_case					:   Optional[int]         =					node
       snake_case					:   int         =					[]
       while current_node is not None:
           path.append((current_node.pos_y, current_node.pos_x)		)
           snake_case					:   Any         =					current_node.parent
       path.reverse()
       return path


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

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

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

    for elem in grid:
      print(elem)





