"""simple docstring"""


import math






class        __UpperCAmelCase						:

				def __init__(				self     ,			_lowerCamelCase     ,			_lowerCamelCase     ,			_lowerCamelCase     ,			_lowerCamelCase				):
										lowerCamelCase__ =x
										lowerCamelCase__ =y
										lowerCamelCase__ =step_size
										lowerCamelCase__ =function_to_optimize

				def 		_a     (				self				):
										return self.function(self.x     ,			self.y				)

				def 		_a     (				self				):
										lowerCamelCase__ =self.step_size
										return [
										    SearchProblem(_lowerCamelCase     ,			_lowerCamelCase     ,			_lowerCamelCase     ,			self.function				)
										    for x, y in (
										        (self.x - step_size, self.y - step_size),
										        (self.x - step_size, self.y),
										        (self.x - step_size, self.y + step_size),
										        (self.x, self.y - step_size),
										        (self.x, self.y + step_size),
										        (self.x + step_size, self.y - step_size),
										        (self.x + step_size, self.y),
										        (self.x + step_size, self.y + step_size),
										    )
										]

				def __hash__(				self				):
										return hash(str(self				)				)

				def __eq__(				self     ,			_lowerCamelCase				):






										if isinstance(_lowerCamelCase     ,			_lowerCamelCase				):
																return hash(str(self				)				) == hash(str(_lowerCamelCase				)				)
										return False






				def __str__(				self				):
										return F'''x: {self.x} y: {self.y}'''






def       lowerCamelCase_			( __lowerCAmelCase       ,   __lowerCAmelCase = True       ,   __lowerCAmelCase = math.inf       ,   __lowerCAmelCase = -math.inf       ,   __lowerCAmelCase = math.inf       ,   __lowerCAmelCase = -math.inf       ,   __lowerCAmelCase = False       ,   __lowerCAmelCase = 1_0000       ,   )							-> Any:




						'''simple docstring'''



						lowerCamelCase__ =search_prob
						lowerCamelCase__ =[]  # list to store the current score at each iteration
						lowerCamelCase__ =0
						lowerCamelCase__ =False
						lowerCamelCase__ =set()
						while not solution_found and iterations < max_iter:
												visited.add(_UpperCamelCase    )
												iterations += 1
												lowerCamelCase__ =current_state.score()
												scores.append(_UpperCamelCase    )
												lowerCamelCase__ =current_state.get_neighbors()
												lowerCamelCase__ =-math.inf
												lowerCamelCase__ =math.inf
												lowerCamelCase__ =None  # to hold the next best neighbor
												for neighbor in neighbors:
																		if neighbor in visited:
																								continue  # do not want to visit the same state again
																		if (
																		    neighbor.x > max_x
																		    or neighbor.x < min_x
																		    or neighbor.y > max_y
																		    or neighbor.y < min_y
																		):
																								continue  # neighbor outside our bounds
																		lowerCamelCase__ =neighbor.score() - current_score
																		if find_max:  # finding max
																								# going to direction with greatest ascent
																								if change > max_change and change > 0:
																														lowerCamelCase__ =change
																														lowerCamelCase__ =neighbor
																		else:  # finding min
																								# to direction with greatest descent
																								if change < min_change and change < 0:
																														lowerCamelCase__ =change
																														lowerCamelCase__ =neighbor
												if next_state is not None:
																		# we found at least one neighbor which improved the current state
																		lowerCamelCase__ =next_state
												else:
																		# since we have no neighbor that improves the solution we stop the search
																		lowerCamelCase__ =True

						if visualization:
												from matplotlib import pyplot as plt

												plt.plot(range(_UpperCamelCase    )       ,   _UpperCamelCase    )
												plt.xlabel("Iterations"    )
												plt.ylabel("Function values"    )
												plt.show()

						return current_state


if __name__ == "__main__":
	import doctest

	doctest.testmod()






	def       lowerCamelCase_			( __lowerCAmelCase       ,   __lowerCAmelCase    )							-> str:




							'''simple docstring'''



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

	# starting the problem with initial coordinates (3, 4)
	a							=SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
	a							=hill_climbing(prob, find_max=False)
	print(
	    'The minimum score for f(x, y) = x^2 + y^2 found via hill climbing: '
	    F'''{local_min.score()}'''
	)

	# starting the problem with initial coordinates (12, 47)
	a							=SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
	a							=hill_climbing(
	    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()}'''
	)






	def       lowerCamelCase_			( __lowerCAmelCase       ,   __lowerCAmelCase    )							-> Tuple:




							'''simple docstring'''



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

	a							=SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
	a							=hill_climbing(prob, find_max=True)





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



"""simple docstring"""


class        __UpperCAmelCase						:

				def __init__(				self     ,			_lowerCamelCase				):
										lowerCamelCase__ =data
										lowerCamelCase__ =None
										lowerCamelCase__ =None





def       lowerCamelCase_			( __lowerCAmelCase       ,   __lowerCAmelCase    )							-> BinaryTreeNode | None:




						'''simple docstring'''



						if node is None:
												lowerCamelCase__ =BinaryTreeNode(__lowerCAmelCase    )
												return node

						# binary search tree is not empty,
						# so we will insert it into the tree
						# if new_value is less than value of data in node,
						#  add it to left subtree and proceed recursively
						if new_value < node.data:
												lowerCamelCase__ =insert(node.left_child       ,   __lowerCAmelCase    )
						else:
												# if new_value is greater than value of data in node,
												#  add it to right subtree and proceed recursively
												lowerCamelCase__ =insert(node.right_child       ,   __lowerCAmelCase    )
						return node





def       lowerCamelCase_			( __lowerCAmelCase    )							-> list[int]:  # if node is None,return




						'''simple docstring'''



						if node:
												lowerCamelCase__ =inorder(node.left_child    )
												lowerCamelCase__ =[*inorder_array, node.data]
												lowerCamelCase__ =inorder_array + inorder(node.right_child    )
						else:
												lowerCamelCase__ =[]
						return inorder_array





def       lowerCamelCase_			( )							-> BinaryTreeNode | None:




						'''simple docstring'''



						lowerCamelCase__ =insert(__lowerCAmelCase       ,   15    )
						insert(__lowerCAmelCase       ,   10    )
						insert(__lowerCAmelCase       ,   25    )
						insert(__lowerCAmelCase       ,   6    )
						insert(__lowerCAmelCase       ,   14    )
						insert(__lowerCAmelCase       ,   20    )
						insert(__lowerCAmelCase       ,   60    )
						return root





def       lowerCamelCase_			( )							-> None:




						'''simple docstring'''



						lowerCamelCase__ =make_tree()
						print("Printing values of binary search tree in Inorder Traversal."    )
						inorder(__lowerCAmelCase    )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()


