
"""simple docstring"""




from __future__ import annotations

A__      :	Dict          =    list[tuple[int, int]]

A__      :	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],
]

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







class   _lowercase						:


     '''simple docstring'''





     def __init__(      self ,			__UpperCamelCase ,			__UpperCamelCase ,			__UpperCamelCase ,			__UpperCamelCase ,			__UpperCamelCase ,			__UpperCamelCase ,			)->					List[Any]:
          UpperCAmelCase__							: List[str] 							=						pos_x
          UpperCAmelCase__							: Any 							=						pos_y
          UpperCAmelCase__							: Dict 							=						(pos_y, pos_x)
          UpperCAmelCase__							: List[Any] 							=						goal_x
          UpperCAmelCase__							: Optional[Any] 							=						goal_y
          UpperCAmelCase__							: Optional[Any] 							=						g_cost
          UpperCAmelCase__							: Optional[int] 							=						parent
          UpperCAmelCase__							: List[Any] 							=						self.calculate_heuristic()



     def  lowerCAmelCase__       (      self  )->					float:
          UpperCAmelCase__							: int 							=						abs(self.pos_x - self.goal_x  )
          UpperCAmelCase__							: List[str] 							=						abs(self.pos_y - self.goal_y  )
          return dx + dy



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







class   _lowercase						:


     '''simple docstring'''





     def __init__(      self ,			__UpperCamelCase ,			__UpperCamelCase  )->					int:
          UpperCAmelCase__							: Optional[Any] 							=						Node(start[1] ,			start[0] ,			goal[1] ,			goal[0] ,			0 ,			__UpperCamelCase  )
          UpperCAmelCase__							: Optional[int] 							=						Node(goal[1] ,			goal[0] ,			goal[1] ,			goal[0] ,			9_99_99 ,			__UpperCamelCase  )

          UpperCAmelCase__							: Optional[Any] 							=						[self.start]
          UpperCAmelCase__							: list[Node] 							=						[]

          UpperCAmelCase__							: Optional[Any] 							=						False



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

               if current_node.pos == self.target.pos:
                    UpperCAmelCase__							: Tuple 							=						True
                    return self.retrace_path(__UpperCamelCase  )

               self.closed_nodes.append(__UpperCamelCase  )
               UpperCAmelCase__							: 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
                         UpperCAmelCase__							: Tuple 							=						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]:
          UpperCAmelCase__							: Union[str, Any] 							=						[]
          for action in delta:
               UpperCAmelCase__							: Dict 							=						parent.pos_x + action[1]
               UpperCAmelCase__							: List[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:
          UpperCAmelCase__							: Dict 							=						node
          UpperCAmelCase__							: Union[str, Any] 							=						[]
          while current_node is not None:
               path.append((current_node.pos_y, current_node.pos_x)  )
               UpperCAmelCase__							: List[Any] 							=						current_node.parent
          path.reverse()
          return path


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

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

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

        for elem in grid:
            print(elem)





"""simple docstring"""




def 							a__ (				lowerCAmelCase	:       list       ,    lowerCAmelCase	:       list		):






     '''simple docstring'''
     _validate_point(lowerCAmelCase		)
     _validate_point(lowerCAmelCase		)
     if len(lowerCAmelCase		) != len(lowerCAmelCase		):
          raise ValueError("Both points must be in the same n-dimensional space"		)

     return float(sum(abs(a - b		) for a, b in zip(lowerCAmelCase       ,    lowerCAmelCase		)		)		)



def 							a__ (				lowerCAmelCase	:       list[float]		):






     '''simple docstring'''
     if point:
          if isinstance(lowerCAmelCase       ,    lowerCAmelCase		):
               for item in point:
                    if not isinstance(lowerCAmelCase       ,    (int, float)		):
                         UpperCAmelCase__							: Tuple 							=						(
                             "Expected a list of numbers as input, found "
                             F"{type(lowerCAmelCase		).__name__}"
                         )
                         raise TypeError(lowerCAmelCase		)
          else:
               UpperCAmelCase__							: Dict 							=						F"Expected a list of numbers as input, found {type(lowerCAmelCase		).__name__}"
               raise TypeError(lowerCAmelCase		)
     else:
          raise ValueError("Missing an input"		)



def 							a__ (				lowerCAmelCase	:       list       ,    lowerCAmelCase	:       list		):






     '''simple docstring'''
     _validate_point(lowerCAmelCase		)
     _validate_point(lowerCAmelCase		)
     if len(lowerCAmelCase		) != len(lowerCAmelCase		):
          raise ValueError("Both points must be in the same n-dimensional space"		)

     return float(sum(abs(x - y		) for x, y in zip(lowerCAmelCase       ,    lowerCAmelCase		)		)		)


if __name__ == "__main__":
    import doctest

    doctest.testmod()



