


import numpy as np

class 		__a				:
		def __init__(      self						)			->	Tuple:




									"""simple docstring"""





									_UpperCAmelCase					=      (0, 0)
									_UpperCAmelCase					=      None
									_UpperCAmelCase					=      0
									_UpperCAmelCase					=      0
									_UpperCAmelCase					=      0
		def __eq__(      self      ,   _SCREAMING_SNAKE_CASE						)			->	List[Any]:




									"""simple docstring"""





									return self.position == cell.position






		def      UpperCAmelCase__    (      self						)			->	Optional[Any]:




									"""simple docstring"""





									print(self.position						)



class 		__a				:
		def __init__(      self      ,   _SCREAMING_SNAKE_CASE=(5, 5)						)			->	Tuple:




									"""simple docstring"""





									_UpperCAmelCase					=      np.zeros(_SCREAMING_SNAKE_CASE						)
									_UpperCAmelCase					=      world_size[0]
									_UpperCAmelCase					=      world_size[1]
		def      UpperCAmelCase__    (      self						)			->	List[str]:




									"""simple docstring"""





									print(self.w						)






		def      UpperCAmelCase__    (      self      ,   _SCREAMING_SNAKE_CASE						)			->	List[Any]:




									"""simple docstring"""





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



def 	lowerCAmelCase__			(      a__:		List[str]      ,  a__:		Any      ,  a__:		List[Any]	)  ->		List[str]:


							'''simple docstring'''





							_UpperCAmelCase					=      []
							_UpperCAmelCase					=      []
							_open.append(a__	)

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

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


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




from __future__ import annotations

import time
from collections.abc import Sequence
from random import randint

from matplotlib import pyplot as plt

def 	lowerCAmelCase__			(      a__:		Sequence[float]      ,  a__:		int      ,  a__:		int	)  ->		tuple[int | None, int | None, float]:


							'''simple docstring'''





							if not arr:
														return None, None, 0
							if low == high:
														return low, high, arr[low]

							_UpperCAmelCase					=      (low + high) // 2
							_UpperCAmelCase		,	_UpperCAmelCase		,	_UpperCAmelCase					=      max_subarray(a__      ,  a__      ,  a__	)
							_UpperCAmelCase		,	_UpperCAmelCase		,	_UpperCAmelCase					=      max_subarray(a__      ,  mid + 1      ,  a__	)
							_UpperCAmelCase		,	_UpperCAmelCase		,	_UpperCAmelCase					=      max_cross_sum(a__      ,  a__      ,  a__      ,  a__	)
							if left_sum >= right_sum and left_sum >= cross_sum:
														return left_low, left_high, left_sum
							elif right_sum >= left_sum and right_sum >= cross_sum:
														return right_low, right_high, right_sum
							return cross_left, cross_right, cross_sum

def 	lowerCAmelCase__			(      a__:		Sequence[float]      ,  a__:		int      ,  a__:		int      ,  a__:		int	)  ->		tuple[int, int, float]:


							'''simple docstring'''





							_UpperCAmelCase		,	_UpperCAmelCase					=      float('-inf'	), -1
							_UpperCAmelCase		,	_UpperCAmelCase					=      float('-inf'	), -1

							_UpperCAmelCase					=      0
							for i in range(a__      ,  low - 1      ,  -1	):
														summ += arr[i]
														if summ > left_sum:
																					_UpperCAmelCase					=      summ
																					_UpperCAmelCase					=      i

							_UpperCAmelCase					=      0
							for i in range(mid + 1      ,  high + 1	):
														summ += arr[i]
														if summ > right_sum:
																					_UpperCAmelCase					=      summ
																					_UpperCAmelCase					=      i

							return max_left, max_right, (left_sum + right_sum)

def 	lowerCAmelCase__			(      a__:		int	)  ->		float:


							'''simple docstring'''





							_UpperCAmelCase					=      [randint(1      ,  a__	) for _ in range(a__	)]
							_UpperCAmelCase					=      time.time()
							max_subarray(a__      ,  0      ,  input_size - 1	)
							_UpperCAmelCase					=      time.time()
							return end - start

def 	lowerCAmelCase__			(      )  ->		None:


							'''simple docstring'''





							_UpperCAmelCase					=      [1_0, 1_0_0, 1_0_0_0, 1_0_0_0_0, 5_0_0_0_0, 1_0_0_0_0_0, 2_0_0_0_0_0, 3_0_0_0_0_0, 4_0_0_0_0_0, 5_0_0_0_0_0]
							_UpperCAmelCase					=      [time_max_subarray(a__	) for input_size in input_sizes]
							print('No of Inputs\t\tTime Taken'	)
							for input_size, runtime in zip(a__      ,  a__	):
														print(a__      ,  '\t\t'      ,  a__	)
							plt.plot(a__      ,  a__	)
							plt.xlabel('Number of Inputs'	)
							plt.ylabel('Time taken in seconds'	)
							plt.show()


if __name__ == "__main__":
		from doctest import testmod

		testmod()
