



"""simple docstring"""






import math
import random
from typing import Any

from .hill_climbing import SearchProblem






def 			snake_case_    ( A_   :						Dict,							A_   :						bool = True,							A_   :						float = math.inf,							A_   :						float = -math.inf,							A_   :						float = math.inf,							A_   :						float = -math.inf,							A_   :						bool = False,							A_   :						float = 1_00,							A_   :						float = 0.01,							A_   :						float = 1,							):


       '''simple docstring'''





       _lowerCamelCase		:							Optional[int]            =					False
       _lowerCamelCase		:							str            =					search_prob
       _lowerCamelCase		:							str            =					start_temperate
       _lowerCamelCase		:							Optional[Any]            =					[]
       _lowerCamelCase		:							int            =					0
       _lowerCamelCase		:							Any            =					None

       while not search_end:
              _lowerCamelCase		:							Dict            =					current_state.score()
              if best_state is None or current_score > best_state.score():
                     _lowerCamelCase		:							Tuple            =					current_state
              scores.append(A_		)
              iterations += 1
              _lowerCamelCase		:							List[Any]            =					None
              _lowerCamelCase		:							Optional[int]            =					current_state.get_neighbors()
              while (
                  next_state is None and neighbors
              ):  # till we do not find a neighbor that we can move to
                     _lowerCamelCase		:							List[Any]            =					random.randint(0,							len(A_		) - 1		)  # picking a random neighbor
                     _lowerCamelCase		:							Dict            =					neighbors.pop(A_		)
                     _lowerCamelCase		:							Union[str, Any]            =					picked_neighbor.score() - current_score

                     if (
                         picked_neighbor.x > max_x
                         or picked_neighbor.x < min_x
                         or picked_neighbor.y > max_y
                         or picked_neighbor.y < min_y
                     ):
                            continue  # neighbor outside our bounds

                     if not find_max:
                            _lowerCamelCase		:							str            =					change * -1  # in case we are finding minimum
                     if change > 0:  # improves the solution
                            _lowerCamelCase		:							Optional[Any]            =					picked_neighbor
                     else:
                            _lowerCamelCase		:							Optional[int]            =					(math.e) ** (
                                change / current_temp
                            )  # probability generation function
                            if random.random() < probability:  # random number within probability
                                   _lowerCamelCase		:							Union[str, Any]            =					picked_neighbor
              _lowerCamelCase		:							List[str]            =					current_temp - (current_temp * rate_of_decrease)

              if current_temp < threshold_temp or next_state is None:
                     # temperature below threshold, or could not find a suitable neighbor
                     _lowerCamelCase		:							Tuple            =					True
              else:
                     _lowerCamelCase		:							Optional[Any]            =					next_state

       if visualization:
              from matplotlib import pyplot as plt

              plt.plot(range(A_		),							A_		)
              plt.xlabel('''Iterations'''		)
              plt.ylabel('''Function values'''		)
              plt.show()
       return best_state


if __name__ == "__main__":






   def 			snake_case_    ( A_   :						int,							A_   :						Tuple		):


          '''simple docstring'''





          return (x**2) + (y**2)

   # starting the problem with initial coordinates (12, 47)
   lowerCAmelCase__              =							SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
   lowerCAmelCase__              =							simulated_annealing(
       prob, find_max=False, max_x=100, min_x=5, max_y=50, min_y=-5, visualization=True
   )
   print(
       '''The minimum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '''
       F"""and 50 > y > - 5 found via hill climbing: {local_min.score()}"""
   )

   # starting the problem with initial coordinates (12, 47)
   lowerCAmelCase__              =							SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
   lowerCAmelCase__              =							simulated_annealing(
       prob, find_max=True, max_x=100, min_x=5, max_y=50, min_y=-5, visualization=True
   )
   print(
       '''The maximum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '''
       F"""and 50 > y > - 5 found via hill climbing: {local_min.score()}"""
   )






   def 			snake_case_    ( A_   :						Optional[int],							A_   :						List[Any]		):


          '''simple docstring'''





          return (3 * x**2) - (6 * y)

   lowerCAmelCase__              =							SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
   lowerCAmelCase__              =							simulated_annealing(prob, find_max=False, visualization=True)
   print(
       '''The minimum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '''
       F"""{local_min.score()}"""
   )

   lowerCAmelCase__              =							SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
   lowerCAmelCase__              =							simulated_annealing(prob, find_max=True, visualization=True)







   print(
       '''The maximum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '''
       F"""{local_min.score()}"""
   )




"""simple docstring"""






from __future__ import annotations

from random import random

class 					__a     :



							'''simple docstring'''







							def __init__(     self  ,    _lowerCamelCase = None       )			->							str:




										'''simple docstring'''
										__lowercase       =       value
										__lowercase       =       random()
										__lowercase       =       None
										__lowercase       =       None
							def __repr__(     self       )			->							str:




										'''simple docstring'''
										from pprint import pformat

										if self.left is None and self.right is None:
													return f'''\'{self.value}: {self.prior:.5}\''''
										else:
													return pformat(
													    {f'''{self.value}: {self.prior:.5}''': (self.left, self.right)}  ,    indent=1       )





							def __str__(     self       )			->							str:




										'''simple docstring'''
										__lowercase       =       str(self.value       ) + " "
										__lowercase       =       str(self.left or ""       )
										__lowercase       =       str(self.right or ""       )
										return value + left + right





def      lowerCAmelCase__			(		__magic_name__			,   __magic_name__      )						->tuple[Node | None, Node | None]:
			if root is None:  # None tree is split into 2 Nones
						return None, None
			elif root.value is None:
						return None, None
			else:
						if value < root.value:
									__lowercase   ,					__lowercase       =       split(root.left			,   __magic_name__      )
									return left, root
						else:
									__lowercase   ,					__lowercase       =       split(root.right			,   __magic_name__      )
									return root, right



def      lowerCAmelCase__			(		__magic_name__			,   __magic_name__      )						->Node | None:
			if (not left) or (not right):  # If one node is None, return the other
						return left or right
			elif left.prior < right.prior:
						__lowercase       =       merge(left.right			,   __magic_name__      )
						return left
			else:
						__lowercase       =       merge(__magic_name__			,   right.left      )
						return right



def      lowerCAmelCase__			(		__magic_name__			,   __magic_name__      )						->Node | None:
			__lowercase       =       Node(__magic_name__      )
			__lowercase   ,					__lowercase       =       split(__magic_name__			,   __magic_name__      )
			return merge(merge(__magic_name__			,   __magic_name__      )			,   __magic_name__      )



def      lowerCAmelCase__			(		__magic_name__			,   __magic_name__      )						->Node | None:
			__lowercase   ,					__lowercase       =       split(__magic_name__			,   value - 1      )
			__lowercase   ,					__lowercase       =       split(__magic_name__			,   __magic_name__      )
			return merge(__magic_name__			,   __magic_name__      )



def      lowerCAmelCase__			(		__magic_name__      )						->None:
			if not root:  # None
						return
			else:
						inorder(root.left      )
						print(root.value			,   end=","      )
						inorder(root.right      )



def      lowerCAmelCase__			(		__magic_name__			,   __magic_name__      )						->Node | None:
			for arg in args.split():
						if arg[0] == "+":
									__lowercase       =       insert(__magic_name__			,   int(arg[1:]      )      )

						elif arg[0] == "-":
									__lowercase       =       erase(__magic_name__			,   int(arg[1:]      )      )

						else:
									print("Unknown command"      )

			return root



def      lowerCAmelCase__			(		)						->None:
			__lowercase       =       None
			print(
			    "enter numbers to create a tree, + value to add value into treap, "
			    "- value to erase all nodes with value. 'q' to quit. "      )

			__lowercase       =       input()
			while args != "q":
						__lowercase       =       interact_treap(__magic_name__			,   __magic_name__      )
						print(__magic_name__      )
						__lowercase       =       input()

			print("good by!"      )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()





