"""simple docstring"""






import numpy as np





class 					_A		:

      def __init__(		self		):







            """simple docstring"""



            lowercase								=      (0, 0)
            lowercase								=      None
            lowercase								=      0
            lowercase								=      0
            lowercase								=      0

      def __eq__(		self						,			__lowerCAmelCase		):







            """simple docstring"""



            return self.position == cell.position







      def 							A__			(		self		):







            """simple docstring"""



            print(self.position		)






class 					_A		:

      def __init__(		self						,			__lowerCAmelCase=(5, 5)		):







            """simple docstring"""



            lowercase								=      np.zeros(__lowerCAmelCase		)
            lowercase								=      world_size[0]
            lowercase								=      world_size[1]

      def 							A__			(		self		):







            """simple docstring"""



            print(self.w		)







      def 							A__			(		self						,			__lowerCAmelCase		):







            """simple docstring"""



            lowercase								=      [
                (-1, -1),
                (-1, 0),
                (-1, 1),
                (0, -1),
                (0, 1),
                (1, -1),
                (1, 0),
                (1, 1),
            ]
            lowercase								=      cell.position[0]
            lowercase								=      cell.position[1]
            lowercase								=      []
            for n in neughbour_cord:
                  lowercase								=      current_x + n[0]
                  lowercase								=      current_y + n[1]
                  if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
                        lowercase								=      Cell()
                        lowercase								=      (x, y)
                        lowercase								=      cell
                        neighbours.append(__lowerCAmelCase		)
            return neighbours






def      UpperCAmelCase__			(							lowerCAmelCase__	:str   ,						lowerCAmelCase__	:Dict   ,						lowerCAmelCase__	:Tuple						)					->       Tuple:
      '''simple docstring'''


      lowercase								=      []
      lowercase								=      []
      _open.append(lowerCAmelCase__						)

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

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


if __name__ == "__main__":
       __lowerCAmelCase       :			List[str]   	=Gridworld()
       # Start position and goal
       __lowerCAmelCase       :			Dict   	=Cell()
       __lowerCAmelCase       :			List[str]   	=(0, 0)
       __lowerCAmelCase       :			Optional[int]   	=Cell()
       __lowerCAmelCase       :			List[str]   	=(4, 4)
       print(F"""path from {start.position} to {goal.position}""")
       __lowerCAmelCase       :			Any   	=astar(world, start, goal)
       #   Just for visual reasons.
       for i in s:
              __lowerCAmelCase       :			List[Any]   	=1
       print(world.w)




"""simple docstring"""






import math


def      UpperCAmelCase__			(							lowerCAmelCase__	:int						)					->       bool:
      '''simple docstring'''


      lowercase								=      math.loga(math.sqrt(4 * positive_integer + 1						) / 2 + 1 / 2						)

      return exponent == int(lowerCAmelCase__						)


def      UpperCAmelCase__			(							lowerCAmelCase__	:float = 1 / 1_2_3_4_5						)					->       int:
      '''simple docstring'''


      lowercase								=      0
      lowercase								=      0

      lowercase								=      3
      while True:
            lowercase								=      (integer**2 - 1) / 4
            # if candidate is an integer, then there is a partition for k
            if partition_candidate == int(lowerCAmelCase__						):
                  lowercase								=      int(lowerCAmelCase__						)
                  total_partitions += 1
                  if check_partition_perfect(lowerCAmelCase__						):
                        perfect_partitions += 1
            if perfect_partitions > 0:
                  if perfect_partitions / total_partitions < max_proportion:
                        return int(lowerCAmelCase__						)
            integer += 1


if __name__ == "__main__":
       print(F"""{solution() = }""")



