
from __future__ import annotations

import unittest
from collections.abc import Iterator


class 	UpperCamelCase__       :

						'''simple docstring'''



						def __init__(  self  , A  , A	)  ->None:
									UpperCAmelCase__		:Dict 		=    label
									UpperCAmelCase__		:Optional[int] 		=    parent
									UpperCAmelCase__		:Node | None 		=    None
									UpperCAmelCase__		:Node | None 		=    None


class 	UpperCamelCase__       :

						'''simple docstring'''



						def __init__(  self	)  ->None:
									UpperCAmelCase__		:Node | None 		=    None


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:Optional[int] 		=    None


						def    A__       (  self	)  ->bool:
									return self.root is None


						def    A__       (  self  , A	)  ->None:
									UpperCAmelCase__		:Any 		=    self._put(self.root  , A	)


						def    A__       (  self  , A  , A  , A = None	)  ->Node:
									if node is None:
												UpperCAmelCase__		:Any 		=    Node(A  , A	)
									else:
												if label < node.label:
															UpperCAmelCase__		:Union[str, Any] 		=    self._put(node.left  , A  , A	)
												elif label > node.label:
															UpperCAmelCase__		:Optional[int] 		=    self._put(node.right  , A  , A	)
												else:
															UpperCAmelCase__		:int 		=    F"""Node with label {label} already exists"""
															raise Exception(A	)

									return node


						def    A__       (  self  , A	)  ->Node:
									return self._search(self.root  , A	)


						def    A__       (  self  , A  , A	)  ->Node:
									if node is None:
												UpperCAmelCase__		:List[Any] 		=    F"""Node with label {label} does not exist"""
												raise Exception(A	)
									else:
												if label < node.label:
															UpperCAmelCase__		:Optional[Any] 		=    self._search(node.left  , A	)
												elif label > node.label:
															UpperCAmelCase__		:str 		=    self._search(node.right  , A	)

									return node


						def    A__       (  self  , A	)  ->None:
									UpperCAmelCase__		:str 		=    self.search(A	)
									if node.right and node.left:
												UpperCAmelCase__		:Optional[int] 		=    self._get_lowest_node(node.right	)
												UpperCAmelCase__		:List[str] 		=    node.left
												UpperCAmelCase__		:List[Any] 		=    node.right
												UpperCAmelCase__		:Any 		=    lowest_node
												if node.right:
															UpperCAmelCase__		:Tuple 		=    lowest_node
												self._reassign_nodes(A  , A	)
									elif not node.right and node.left:
												self._reassign_nodes(A  , node.left	)
									elif node.right and not node.left:
												self._reassign_nodes(A  , node.right	)
									else:
												self._reassign_nodes(A  , A	)


						def    A__       (  self  , A  , A	)  ->None:
									if new_children:
												UpperCAmelCase__		:int 		=    node.parent

									if node.parent:
												if node.parent.right == node:
															UpperCAmelCase__		:List[Any] 		=    new_children
												else:
															UpperCAmelCase__		:Any 		=    new_children
									else:
												UpperCAmelCase__		:Union[str, Any] 		=    new_children


						def    A__       (  self  , A	)  ->Node:
									if node.left:
												UpperCAmelCase__		:Dict 		=    self._get_lowest_node(node.left	)
									else:
												UpperCAmelCase__		:List[str] 		=    node
												self._reassign_nodes(A  , node.right	)

									return lowest_node


						def    A__       (  self  , A	)  ->bool:
									try:
												self.search(A	)
												return True
									except Exception:
												return False


						def    A__       (  self	)  ->int:
									if self.root is None:
												raise Exception('Binary search tree is empty'	)

									UpperCAmelCase__		:Any 		=    self.root
									while node.right is not None:
												UpperCAmelCase__		:Tuple 		=    node.right

									return node.label


						def    A__       (  self	)  ->int:
									if self.root is None:
												raise Exception('Binary search tree is empty'	)

									UpperCAmelCase__		:Union[str, Any] 		=    self.root
									while node.left is not None:
												UpperCAmelCase__		:Optional[Any] 		=    node.left

									return node.label


						def    A__       (  self	)  ->Iterator[Node]:
									return self._inorder_traversal(self.root	)


						def    A__       (  self  , A	)  ->Iterator[Node]:
									if node is not None:
												yield from self._inorder_traversal(node.left	)
												yield node
												yield from self._inorder_traversal(node.right	)


						def    A__       (  self	)  ->Iterator[Node]:
									return self._preorder_traversal(self.root	)


						def    A__       (  self  , A	)  ->Iterator[Node]:
									if node is not None:
												yield node
												yield from self._preorder_traversal(node.left	)
												yield from self._preorder_traversal(node.right	)


class 	UpperCamelCase__       (  unittest.TestCase):

						'''simple docstring'''



						@staticmethod
						def    A__       (  )  ->BinarySearchTree:
									UpperCAmelCase__		:str 		=    BinarySearchTree()
									t.put(8	)
									t.put(3	)
									t.put(6	)
									t.put(1	)
									t.put(10	)
									t.put(14	)
									t.put(13	)
									t.put(4	)
									t.put(7	)
									t.put(5	)

									return t


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:Dict 		=    BinarySearchTree()
									assert t.is_empty()

									t.put(8	)
									assert t.root is not None
									assert t.root.parent is None
									assert t.root.label == 8

									t.put(10	)
									assert t.root.right is not None
									assert t.root.right.parent == t.root
									assert t.root.right.label == 10

									t.put(3	)
									assert t.root.left is not None
									assert t.root.left.parent == t.root
									assert t.root.left.label == 3

									t.put(6	)
									assert t.root.left.right is not None
									assert t.root.left.right.parent == t.root.left
									assert t.root.left.right.label == 6

									t.put(1	)
									assert t.root.left.left is not None
									assert t.root.left.left.parent == t.root.left
									assert t.root.left.left.label == 1

									with self.assertRaises(A	):  # noqa: B017
												t.put(1	)


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:Tuple 		=    self._get_binary_search_tree()

									UpperCAmelCase__		:Dict 		=    t.search(6	)
									assert node.label == 6

									UpperCAmelCase__		:Optional[Any] 		=    t.search(13	)
									assert node.label == 13

									with self.assertRaises(A	):  # noqa: B017
												t.search(2	)


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:Optional[Any] 		=    self._get_binary_search_tree()

									t.remove(13	)
									assert t.root is not None
									assert t.root.right is not None
									assert t.root.right.right is not None
									assert t.root.right.right.right is None
									assert t.root.right.right.left is None

									t.remove(7	)
									assert t.root.left is not None
									assert t.root.left.right is not None
									assert t.root.left.right.left is not None
									assert t.root.left.right.right is None
									assert t.root.left.right.left.label == 4

									t.remove(6	)
									assert t.root.left.left is not None
									assert t.root.left.right.right is not None
									assert t.root.left.left.label == 1
									assert t.root.left.right.label == 4
									assert t.root.left.right.right.label == 5
									assert t.root.left.right.left is None
									assert t.root.left.left.parent == t.root.left
									assert t.root.left.right.parent == t.root.left

									t.remove(3	)
									assert t.root is not None
									assert t.root.left.label == 4
									assert t.root.left.right.label == 5
									assert t.root.left.left.label == 1
									assert t.root.left.parent == t.root
									assert t.root.left.left.parent == t.root.left
									assert t.root.left.right.parent == t.root.left

									t.remove(4	)
									assert t.root.left is not None
									assert t.root.left.left is not None
									assert t.root.left.label == 5
									assert t.root.left.right is None
									assert t.root.left.left.label == 1
									assert t.root.left.parent == t.root
									assert t.root.left.left.parent == t.root.left


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:Optional[Any] 		=    self._get_binary_search_tree()

									t.remove(3	)
									assert t.root is not None
									assert t.root.left is not None
									assert t.root.left.left is not None
									assert t.root.left.right is not None
									assert t.root.left.right.left is not None
									assert t.root.left.right.right is not None
									assert t.root.left.label == 4
									assert t.root.left.right.label == 6
									assert t.root.left.left.label == 1
									assert t.root.left.right.right.label == 7
									assert t.root.left.right.left.label == 5
									assert t.root.left.parent == t.root
									assert t.root.left.right.parent == t.root.left
									assert t.root.left.left.parent == t.root.left
									assert t.root.left.right.left.parent == t.root.left.right


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:Any 		=    self._get_binary_search_tree()
									t.empty()
									assert t.root is None


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:Dict 		=    self._get_binary_search_tree()
									assert not t.is_empty()

									t.empty()
									assert t.is_empty()


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:Optional[int] 		=    self._get_binary_search_tree()

									assert t.exists(6	)
									assert not t.exists(-1	)


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:int 		=    self._get_binary_search_tree()

									assert t.get_max_label() == 14

									t.empty()
									with self.assertRaises(A	):  # noqa: B017
												t.get_max_label()


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:Dict 		=    self._get_binary_search_tree()

									assert t.get_min_label() == 1

									t.empty()
									with self.assertRaises(A	):  # noqa: B017
												t.get_min_label()


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:List[Any] 		=    self._get_binary_search_tree()

									UpperCAmelCase__		:str 		=    [i.label for i in t.inorder_traversal()]
									assert inorder_traversal_nodes == [1, 3, 4, 5, 6, 7, 8, 10, 13, 14]


						def    A__       (  self	)  ->None:
									UpperCAmelCase__		:List[Any] 		=    self._get_binary_search_tree()

									UpperCAmelCase__		:List[str] 		=    [i.label for i in t.preorder_traversal()]
									assert preorder_traversal_nodes == [8, 3, 1, 6, 4, 5, 7, 10, 14, 13]




def 		A						(  ):




			"""simple docstring"""


			UpperCAmelCase__		:Tuple 		=    BinarySearchTree()
			t.put(8							)
			t.put(3							)
			t.put(6							)
			t.put(1							)
			t.put(10							)
			t.put(14							)
			t.put(13							)
			t.put(4							)
			t.put(7							)
			t.put(5							)

			print(
			    '\n            8\n           / \\\n          3   10\n         / \\    \\\n        1   6    14\n           / \\   /\n          4   7 13\n           \\\n            5\n        '							)

			print('Label 6 exists:'     ,						t.exists(6							)							)
			print('Label 13 exists:'     ,						t.exists(13							)							)
			print('Label -1 exists:'     ,						t.exists(-1							)							)
			print('Label 12 exists:'     ,						t.exists(12							)							)

			# Prints all the elements of the list in inorder traversal
			UpperCAmelCase__		:Optional[Any] 		=    [i.label for i in t.inorder_traversal()]
			print('Inorder traversal:'     ,						SCREAMING_SNAKE_CASE							)

			# Prints all the elements of the list in preorder traversal
			UpperCAmelCase__		:Union[str, Any] 		=    [i.label for i in t.preorder_traversal()]
			print('Preorder traversal:'     ,						SCREAMING_SNAKE_CASE							)

			print('Max. label:'     ,						t.get_max_label()							)
			print('Min. label:'     ,						t.get_min_label()							)

			# Delete elements
			print('\nDeleting elements 13, 10, 8, 3, 6, 14'							)
			print(
			    '\n          4\n         / \\\n        1   7\n             \\\n              5\n        '							)
			t.remove(13							)
			t.remove(10							)
			t.remove(8							)
			t.remove(3							)
			t.remove(6							)
			t.remove(14							)

			# Prints all the elements of the list in inorder traversal after delete
			UpperCAmelCase__		:List[str] 		=    [i.label for i in t.inorder_traversal()]
			print('Inorder traversal after delete:'     ,						SCREAMING_SNAKE_CASE							)

			# Prints all the elements of the list in preorder traversal after delete
			UpperCAmelCase__		:str 		=    [i.label for i in t.preorder_traversal()]
			print('Preorder traversal after delete:'     ,						SCREAMING_SNAKE_CASE							)

			print('Max. label:'     ,						t.get_max_label()							)
			print('Min. label:'     ,						t.get_min_label()							)


if __name__ == "__main__":
						binary_search_tree_example()







import bisect
import copy
from collections import defaultdict

import numpy as np
from torch.utils.data import BatchSampler, Sampler

from utils import logger




def 		A						(  SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE							):




			"""simple docstring"""


			UpperCAmelCase__		:int 		=    copy.deepcopy(SCREAMING_SNAKE_CASE							)
			UpperCAmelCase__		:List[Any] 		=    sorted(SCREAMING_SNAKE_CASE							)
			UpperCAmelCase__		:Dict 		=    [bisect.bisect_right(SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE							) for y in x]
			return quantized




def 		A						(  SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE=0							):




			"""simple docstring"""


			UpperCAmelCase__		:Tuple 		=    np.arange(start=3     ,						stop=SCREAMING_SNAKE_CASE     ,						step=4							).tolist() if k > 0 else [10]
			UpperCAmelCase__		:List[Any] 		=    _quantize(SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE							)
			# count number of elements per group
			UpperCAmelCase__		:Dict 		=    np.unique(SCREAMING_SNAKE_CASE     ,						return_counts=SCREAMING_SNAKE_CASE							)[1]
			UpperCAmelCase__		:Any 		=    [0] + bins + [np.inf]
			logger.info('Using {} as bins for aspect lengths quantization'.format(SCREAMING_SNAKE_CASE							)							)
			logger.info('Count of instances per bin: {}'.format(SCREAMING_SNAKE_CASE							)							)
			return groups




class 	UpperCamelCase__       (  UpperCAmelCase__):

						'''simple docstring'''



						def __init__(  self  , A  , A  , A	)  ->Union[str, Any]:
									if not isinstance(A  , A	):
												raise ValueError(
												    'sampler should be an instance of torch.utils.data.Sampler, but got sampler={}'.format(A	)	)
									UpperCAmelCase__		:Tuple 		=    sampler
									UpperCAmelCase__		:Tuple 		=    group_ids
									UpperCAmelCase__		:str 		=    batch_size


						def __iter__(  self	)  ->Dict:
									UpperCAmelCase__		:List[str] 		=    defaultdict(A	)
									UpperCAmelCase__		:List[str] 		=    defaultdict(A	)

									UpperCAmelCase__		:Any 		=    0
									for idx in self.sampler:
												UpperCAmelCase__		:List[Any] 		=    self.group_ids[idx]
												buffer_per_group[group_id].append(A	)
												samples_per_group[group_id].append(A	)
												if len(buffer_per_group[group_id]	) == self.batch_size:
															yield buffer_per_group[group_id]  # TODO
															num_batches += 1
															del buffer_per_group[group_id]
												assert len(buffer_per_group[group_id]	) < self.batch_size

									# now we have run out of elements that satisfy
									# the group criteria, let's return the remaining
									# elements so that the size of the sampler is
									# deterministic
									UpperCAmelCase__		:Union[str, Any] 		=    len(self	)
									UpperCAmelCase__		:Tuple 		=    expected_num_batches - num_batches
									if num_remaining > 0:
												# for the remaining batches, group the batches by similar lengths
												UpperCAmelCase__		:str 		=    []
												for group_id, idxs in sorted(buffer_per_group.items()  , key=lambda A	: x[0]	):
															batch_idx.extend(A	)
															if len(A	) >= self.batch_size:
																		yield batch_idx[: self.batch_size]
																		UpperCAmelCase__		:int 		=    batch_idx[self.batch_size :]
																		num_remaining -= 1
												if len(A	) > 0:
															yield batch_idx
															num_remaining -= 1
									assert num_remaining == 0


						def __len__(  self	)  ->Union[str, Any]:
									return (len(self.sampler	) + self.batch_size - 1) // self.batch_size





