




'''simple docstring'''


from __future__ import annotations

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

lowerCAmelCase_      :  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],
]

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







class      SCREAMING_SNAKE_CASE    :






      def __init__( self   :  Optional[int]						,						lowercase__   :  int						,						lowercase__   :  int						,						lowercase__   :  int						,						lowercase__   :  int						,						lowercase__   :  float						,						lowercase__   :  Node | None						,						):


           '''simple docstring'''

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






      def 							lowercase_						( self   :  Optional[int]       ):


           '''simple docstring'''

           a_     :							int     						=  abs(self.pos_x - self.goal_x       )
           a_     :							Optional[int]     						=  abs(self.pos_y - self.goal_y       )
           return dx + dy






      def __lt__( self   :  Optional[int]						,						lowercase__   :  Any       ):


           '''simple docstring'''

           return self.f_cost < other.f_cost







class      SCREAMING_SNAKE_CASE    :






      def __init__( self   :  List[Any]						,						lowercase__   :  tuple[int, int]						,						lowercase__   :  tuple[int, int]       ):


           '''simple docstring'''

           a_     :							Dict     						=  Node(start[1]						,						start[0]						,						goal[1]						,						goal[0]						,						0						,						lowercase__       )
           a_     :							Any     						=  Node(goal[1]						,						goal[0]						,						goal[1]						,						goal[0]						,						9_9999						,						lowercase__       )

           a_     :							str     						=  [self.start]
           a_     :							list[Node]     						=  []

           a_     :							Union[str, Any]     						=  False






      def 							lowercase_						( self   :  List[str]       ):


           '''simple docstring'''

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

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

                self.closed_nodes.append(lowercase__       )
                a_     :							str     						=  self.get_successors(lowercase__       )

                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(lowercase__       )
                     else:
                          # retrieve the best current path
                          a_     :							Optional[Any]     						=  self.open_nodes.pop(self.open_nodes.index(lowercase__       )       )

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

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






      def 							lowercase_						( self   :  Any						,						lowercase__   :  Node       ):


           '''simple docstring'''

           a_     :							Dict     						=  []
           for action in delta:
                a_     :							Optional[int]     						=  parent.pos_x + action[1]
                a_     :							Optional[Any]     						=  parent.pos_y + action[0]

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

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

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






      def 							lowercase_						( self   :  Union[str, Any]						,						lowercase__   :  Node | None       ):


           '''simple docstring'''

           a_     :							str     						=  node
           a_     :							str     						=  []
           while current_node is not None:
                path.append((current_node.pos_y, current_node.pos_x)       )
                a_     :							Tuple     						=  current_node.parent
           path.reverse()
           return path


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

 print('------')

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

  for elem in grid:
   print(elem)






'''simple docstring'''


from __future__ import annotations



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					list[float]				):




     """simple docstring"""


     if len(UpperCamelCase__				) < 2:
          raise ValueError("""Monogons and Digons are not polygons in the Euclidean space"""				)
     if any(i <= 0 for i in nums				):
          raise ValueError("""All values must be greater than 0"""				)
     a_     :							int     						=  nums.copy()
     copy_nums.sort()
     return copy_nums[-1] < sum(copy_nums[:-1]				)


if __name__ == "__main__":
 import doctest

 doctest.testmod()
