

'''simple docstring'''




from __future__ import annotations

_a					:			Tuple							=    list[tuple[int, int]]

_a					:			Dict							=    [
    [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],
]

_a					:			Union[str, Any]							=    ([-1, 0], [0, -1], [1, 0], [0, 1])  # up, left, down, right



class 							lowercase_						:

  '''simple docstring'''





  def __init__(  self ,			a_ ,			a_ ,			a_ ,			a_ ,			a_ ,			a_ ,			)				->					Any:


    """simple docstring"""
    UpperCAmelCase    				=						pos_x
    UpperCAmelCase    				=						pos_y
    UpperCAmelCase    				=						(pos_y, pos_x)
    UpperCAmelCase    				=						goal_x
    UpperCAmelCase    				=						goal_y
    UpperCAmelCase    				=						g_cost
    UpperCAmelCase    				=						parent
    UpperCAmelCase    				=						self.calculate_heuristic()
  def     snake_case_      (  self  )				->					float:


    """simple docstring"""
    UpperCAmelCase    				=						abs(self.pos_x - self.goal_x  )
    UpperCAmelCase    				=						abs(self.pos_y - self.goal_y  )
    return dx + dy





  def __lt__(  self ,			a_  )				->					bool:


    """simple docstring"""
    return self.f_cost < other.f_cost




class 							lowercase_						:

  '''simple docstring'''





  def __init__(  self ,			a_ ,			a_  )				->					Dict:


    """simple docstring"""
    UpperCAmelCase    				=						Node(start[1] ,			start[0] ,			goal[1] ,			goal[0] ,			0 ,			a_  )
    UpperCAmelCase    				=						Node(goal[1] ,			goal[0] ,			goal[1] ,			goal[0] ,			9_9_9_9_9 ,			a_  )

    UpperCAmelCase    				=						[self.start]
    UpperCAmelCase    				=						[]

    UpperCAmelCase    				=						False
  def     snake_case_      (  self  )				->					Path | None:


    """simple docstring"""
    while self.open_nodes:
      # Open Nodes are sorted using __lt__
      self.open_nodes.sort()
      UpperCAmelCase    				=						self.open_nodes.pop(0  )

      if current_node.pos == self.target.pos:
        UpperCAmelCase    				=						True
        return self.retrace_path(a_  )

      self.closed_nodes.append(a_  )
      UpperCAmelCase    				=						self.get_successors(a_  )

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

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

    if not self.reached:
      return [self.start.pos]
    return None
  def     snake_case_      (  self ,			a_  )				->					list[Node]:


    """simple docstring"""
    UpperCAmelCase    				=						[]
    for action in delta:
      UpperCAmelCase    				=						parent.pos_x + action[1]
      UpperCAmelCase    				=						parent.pos_y + action[0]

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

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

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





  def     snake_case_      (  self ,			a_  )				->					Path:


    """simple docstring"""
    UpperCAmelCase    				=						node
    UpperCAmelCase    				=						[]
    while current_node is not None:
      path.append((current_node.pos_y, current_node.pos_x)  )
      UpperCAmelCase    				=						current_node.parent
    path.reverse()
    return path


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

  print('------')

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

    for elem in grid:
      print(elem)





'''simple docstring'''




def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : list[int]							, SCREAMING_SNAKE_CASE   : list[int]							, SCREAMING_SNAKE_CASE   : int    ):
  return not any(
      neighbour == 1 and colored_vertices[i] == color
      for i, neighbour in enumerate(SCREAMING_SNAKE_CASE    )    )


def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : list[list[int]]							, SCREAMING_SNAKE_CASE   : int							, SCREAMING_SNAKE_CASE   : list[int]							, SCREAMING_SNAKE_CASE   : int    ):

  # Base Case
  if index == len(SCREAMING_SNAKE_CASE    ):
    return True

  # Recursive Step
  for i in range(SCREAMING_SNAKE_CASE    ):
    if valid_coloring(graph[index]							, SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    ):
      # Color current vertex
      UpperCAmelCase    				=						i
      # Validate coloring
      if util_color(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, index + 1    ):
        return True
      # Backtrack
      UpperCAmelCase    				=						-1
  return False



def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : list[list[int]]							, SCREAMING_SNAKE_CASE   : int    ):
  UpperCAmelCase    				=						[-1] * len(SCREAMING_SNAKE_CASE    )

  if util_color(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, 0    ):
    return colored_vertices

  return []


