




import numpy as np







class 		lowercase							:

     def __init__(						self       )		->							Optional[Any]:
           _A							:  Tuple    =		(0, 0)
           _A							:  Tuple    =		None
           _A							:  Tuple    =		0
           _A							:  Tuple    =		0
           _A							:  Optional[int]    =		0

     def __eq__(						self	,  _a       )		->							Optional[int]:
           return self.position == cell.position



     def       a__			(						self       )		->							Tuple:
           print(self.position       )







class 		lowercase							:

     def __init__(						self	,  _a=(5, 5)       )		->							List[str]:
           _A							:  List[str]    =		np.zeros(_a       )
           _A							:  Union[str, Any]    =		world_size[0]
           _A							:  Optional[int]    =		world_size[1]

     def       a__			(						self       )		->							Optional[Any]:
           print(self.w       )



     def       a__			(						self	,  _a       )		->							Optional[int]:
           _A							:  Optional[Any]    =		[
               (-1, -1),
               (-1, 0),
               (-1, 1),
               (0, -1),
               (0, 1),
               (1, -1),
               (1, 0),
               (1, 1),
           ]
           _A							:  Union[str, Any]    =		cell.position[0]
           _A							:  Tuple    =		cell.position[1]
           _A							:  List[Any]    =		[]
           for n in neughbour_cord:
                 _A							:  Any    =		current_x + n[0]
                 _A							:  int    =		current_y + n[1]
                 if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
                       _A							:  str    =		Cell()
                       _A							:  Optional[Any]    =		(x, y)
                       _A							:  Union[str, Any]    =		cell
                       neighbours.append(_a       )
           return neighbours







def        lowerCAmelCase_			(  snake_case_,snake_case_,snake_case_  ):
      _A							:  Tuple    =		[]
      _A							:  Tuple    =		[]
      _open.append(snake_case_  )

      while _open:
            _A							:  Any    =		np.argmin([n.f for n in _open]  )
            _A							:  Any    =		_open[min_f]
            _closed.append(_open.pop(snake_case_  )  )
            if current == goal:
                  break
            for n in world.get_neigbours(snake_case_  ):
                  for c in _closed:
                        if c == n:
                              continue
                  _A							:  Optional[int]    =		current.g + 1
                  _A    ,     _A							:  List[Any]    =		n.position
                  _A    ,     _A							:  Optional[int]    =		goal.position
                  _A							:  Dict    =		(ya - ya) ** 2 + (xa - xa) ** 2
                  _A							:  List[Any]    =		n.h + n.g

                  for c in _open:
                        if c == n and c.f < n.f:
                              continue
                  _open.append(snake_case_  )
      _A							:  Tuple    =		[]
      while current.parent is not None:
            path.append(current.position  )
            _A							:  str    =		current.parent
      path.append(current.position  )
      return path[::-1]


if __name__ == "__main__":
  _snake_case            = Gridworld()
  # Start position and goal
  _snake_case            = Cell()
  _snake_case            = (0, 0)
  _snake_case            = Cell()
  _snake_case            = (4, 4)
  print(f"""path from {start.position} to {goal.position}""")
  _snake_case            = astar(world, start, goal)
  #   Just for visual reasons.
  for i in s:
    _snake_case            = 1
  print(world.w)







from __future__ import annotations







def        lowerCAmelCase_			(  snake_case_,snake_case_ = None  ):
      _A							:  Tuple    =		word_bank or []
      # create a table
      _A							:  int    =		len(snake_case_  ) + 1

      _A							:  list[list[list[str]]]    =		[]
      for _ in range(snake_case_  ):
            table.append([]  )
      # seed value
      _A							:  Dict    =		[[]]  # because empty string has empty combination

      # iterate through the indices
      for i in range(snake_case_  ):
            # condition
            if table[i] != []:
                  for word in word_bank:
                        # slice condition
                        if target[i : i + len(snake_case_  )] == word:
                              _A							:  list[list[str]]    =		[
                                  [word, *way] for way in table[i]
                              ]
                              # adds the word to every combination the current position holds
                              # now,push that combination to the table[i+len(word)]
                              table[i + len(snake_case_  )] += new_combinations

    # combinations are in reverse order so reverse for better output
      for combination in table[len(snake_case_  )]:
            combination.reverse()

      return table[len(snake_case_  )]


if __name__ == "__main__":
  print(all_construct("jwajalapa", ["jwa", "j", "w", "a", "la", "lapa"]))
  print(all_construct("rajamati", ["s", "raj", "amat", "raja", "ma", "i", "t"]))
  print(
      all_construct(
          "hexagonosaurus",
          ["h", "ex", "hex", "ag", "ago", "ru", "auru", "rus", "go", "no", "o", "s"],
      )
  )

