

import numpy as np





class 		__SCREAMING_SNAKE_CASE       :







				def __init__(					self    :		Dict      ):
										'''simple docstring'''
										lowercase   :       Optional[int]								=(0, 0)
										lowercase   :       Dict								=None
										lowercase   :       Dict								=0
										lowercase   :       Optional[int]								=0
										lowercase   :       Any								=0







				def __eq__(					self    :		str		,				UpperCAmelCase__    :		Any      ):
										'''simple docstring'''
										return self.position == cell.position







				def    lowerCamelCase_  (					self    :		int      ):
										'''simple docstring'''
										print(self.position      )





class 		__SCREAMING_SNAKE_CASE       :







				def __init__(					self    :		Any		,				UpperCAmelCase__    :		Any=(5, 5)      ):
										'''simple docstring'''
										lowercase   :       int								=np.zeros(__a      )
										lowercase   :       Any								=world_size[0]
										lowercase   :       int								=world_size[1]







				def    lowerCamelCase_  (					self    :		Dict      ):
										'''simple docstring'''
										print(self.w      )







				def    lowerCamelCase_  (					self    :		int		,				UpperCAmelCase__    :		Optional[int]      ):
										'''simple docstring'''
										lowercase   :       Optional[int]								=[
										    (-1, -1),
										    (-1, 0),
										    (-1, 1),
										    (0, -1),
										    (0, 1),
										    (1, -1),
										    (1, 0),
										    (1, 1),
										]
										lowercase   :       str								=cell.position[0]
										lowercase   :       Optional[int]								=cell.position[1]
										lowercase   :       Any								=[]
										for n in neughbour_cord:
																lowercase   :       Optional[int]								=current_x + n[0]
																lowercase   :       Dict								=current_y + n[1]
																if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
																						lowercase   :       List[Any]								=Cell()
																						lowercase   :       List[Any]								=(x, y)
																						lowercase   :       Any								=cell
																						neighbours.append(__a      )
										return neighbours






def 							_lowerCAmelCase (      __magic_name__	:    Tuple      ,   __magic_name__	:    Optional[Any]      ,   __magic_name__	:    Optional[Any]	)							->     List[Any]:
						lowercase   :       Dict								=[]
						lowercase   :       Union[str, Any]								=[]
						_open.append(__snake_case	)

						while _open:
												lowercase   :       Union[str, Any]								=np.argmin([n.f for n in _open]	)
												lowercase   :       Tuple								=_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
																		lowercase   :       str								=current.g + 1
																		lowercase		,  lowercase   :       Optional[int]								=n.position
																		lowercase		,  lowercase   :       List[Any]								=goal.position
																		lowercase   :       Dict								=(ya - ya) ** 2 + (xa - xa) ** 2
																		lowercase   :       Any								=n.h + n.g

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


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








'''simple docstring'''





def 							_lowerCAmelCase (      __magic_name__	:    int = 1000000	)							->     int:
						lowercase   :       Dict								=set(range(3      ,   __magic_name__      ,   2	)	)
						primes.add(2	)
						for p in range(3      ,   __magic_name__      ,   2	):
												if p not in primes:
																		continue
												primes.difference_update(set(range(p * p      ,   __magic_name__      ,   __magic_name__	)	)	)

						lowercase   :       List[Any]								=[float(__magic_name__	) for n in range(limit + 1	)]

						for p in primes:
												for n in range(__magic_name__      ,   limit + 1      ,   __magic_name__	):
																		phi[n] *= 1 - 1 / p

						return int(sum(phi[2:]	)	)


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





