
from __future__ import annotations

from random import random
from typing import Generic, TypeVar

SCREAMING_SNAKE_CASE__      :			List[Any]							=		TypeVar("""KT""")
SCREAMING_SNAKE_CASE__      :			Tuple							=		TypeVar("""VT""")
class 						lowerCamelCase_				(      Generic[KT, VT] ):







				def __init__(						self       ,					__lowerCAmelCase = "root"       ,					__lowerCAmelCase = None     ):
								"""simple docstring"""
								__magic_name__		:Any        =      key
								__magic_name__		:Optional[int]        =      value
								__magic_name__		:list[Node[KT, VT]]        =      []







				def __repr__(						self     ):
								"""simple docstring"""
								return F'''Node({self.key}: {self.value})'''







				@property
				def 			A	(						self     ):
								"""simple docstring"""
								return len(self.forward     )







class 						lowerCamelCase_				(      Generic[KT, VT] ):







				def __init__(						self       ,					__lowerCAmelCase = 0.5       ,					__lowerCAmelCase = 1_6     ):
								"""simple docstring"""
								__magic_name__		:Node[KT, VT]        =      Node[KT, VT]()
								__magic_name__		:Any        =      0
								__magic_name__		:List[str]        =      p
								__magic_name__		:List[str]        =      max_level







				def __str__(						self     ):
								"""simple docstring"""
								__magic_name__		:int        =      list(self     )

								if len(UpperCAmelCase_     ) == 0:
												return F'''SkipList(level={self.level})'''

								__magic_name__		:Optional[Any]        =      max((len(str(UpperCAmelCase_     )     ) for item in items)       ,					default=4     )
								__magic_name__		:int        =      max(UpperCAmelCase_       ,					4     ) + 4

								__magic_name__		:Any        =      self.head
								__magic_name__		:Union[str, Any]        =      []

								__magic_name__		:Dict        =      node.forward.copy()
								lines.append(F'''[{node.key}]'''.ljust(UpperCAmelCase_       ,					'''-'''     ) + '''* ''' * len(UpperCAmelCase_     )     )
								lines.append(''' ''' * label_size + '''| ''' * len(UpperCAmelCase_     )     )

								while len(node.forward     ) != 0:
												__magic_name__		:str        =      node.forward[0]

												lines.append(
												    F'''[{node.key}]'''.ljust(UpperCAmelCase_       ,					'''-'''     )
												    + ''' '''.join(str(n.key     ) if n.key == node.key else '''|''' for n in forwards     )     )
												lines.append(''' ''' * label_size + '''| ''' * len(UpperCAmelCase_     )     )
												__magic_name__		:Tuple        =      node.forward

								lines.append('''None'''.ljust(UpperCAmelCase_     ) + '''* ''' * len(UpperCAmelCase_     )     )
								return F'''SkipList(level={self.level})\n''' + "\n".join(UpperCAmelCase_     )







				def __iter__(						self     ):
								"""simple docstring"""
								__magic_name__		:Optional[Any]        =      self.head

								while len(node.forward     ) != 0:
												yield node.forward[0].key
												__magic_name__		:str        =      node.forward[0]







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:List[str]        =      1
								while random() < self.p and level < self.max_level:
												level += 1

								return level







				def 			A	(						self       ,					__lowerCAmelCase     ):
								"""simple docstring"""
								__magic_name__		:Dict        =      []

								__magic_name__		:List[str]        =      self.head

								for i in reversed(range(self.level     )     ):
												# i < node.level - When node level is lesser than `i` decrement `i`.
												# node.forward[i].key < key - Jumping to node with key value higher
												#                             or equal to searched key would result
												#                             in skipping searched key.
												while i < node.level and node.forward[i].key < key:
																__magic_name__		:Dict        =      node.forward[i]
												# Each leftmost node (relative to searched node) will potentially have to
												# be updated.
												update_vector.append(UpperCAmelCase_     )

								update_vector.reverse()  # Note that we were inserting values in reverse order.

								# len(node.forward) != 0 - If current node doesn't contain any further
								#                          references then searched key is not present.
								# node.forward[0].key == key - Next node key should be equal to search key
								#                              if key is present.
								if len(node.forward     ) != 0 and node.forward[0].key == key:
												return node.forward[0], update_vector
								else:
												return None, update_vector







				def 			A	(						self       ,					__lowerCAmelCase     ):
								"""simple docstring"""
								__magic_name__		:Optional[Any]        =      self._locate_node(UpperCAmelCase_     )

								if node is not None:
												for i, update_node in enumerate(UpperCAmelCase_     ):
																# Remove or replace all references to removed node.
																if update_node.level > i and update_node.forward[i].key == key:
																				if node.level > i:
																								__magic_name__		:int        =      node.forward[i]
																				else:
																								__magic_name__		:Any        =      update_node.forward[:i]







				def 			A	(						self       ,					__lowerCAmelCase       ,					__lowerCAmelCase     ):
								"""simple docstring"""
								__magic_name__		:Optional[Any]        =      self._locate_node(UpperCAmelCase_     )
								if node is not None:
												__magic_name__		:Optional[int]        =      value
								else:
												__magic_name__		:Tuple        =      self.random_level()

												if level > self.level:
																# After level increase we have to add additional nodes to head.
																for _ in range(self.level - 1       ,					UpperCAmelCase_     ):
																				update_vector.append(self.head     )
																__magic_name__		:Union[str, Any]        =      level

												__magic_name__		:List[str]        =      Node(UpperCAmelCase_       ,					UpperCAmelCase_     )

												for i, update_node in enumerate(update_vector[:level]     ):
																# Change references to pass through new node.
																if update_node.level > i:
																				new_node.forward.append(update_node.forward[i]     )

																if update_node.level < i + 1:
																				update_node.forward.append(UpperCAmelCase_     )
																else:
																				__magic_name__		:Tuple        =      new_node







				def 			A	(						self       ,					__lowerCAmelCase     ):
								"""simple docstring"""
								__magic_name__		:Optional[Any]        =      self._locate_node(UpperCAmelCase_     )

								if node is not None:
												return node.value

								return None







def      __lowercase					( ):







				"""simple docstring"""






				__magic_name__		:Optional[Any]        =      SkipList()
				skip_list.insert('''Key1''',  3 )
				skip_list.insert('''Key2''',  1_2 )
				skip_list.insert('''Key3''',  4_1 )
				skip_list.insert('''Key4''',  -1_9 )

				__magic_name__		:str        =      skip_list.head
				__magic_name__		:Dict        =      {}
				while node.level != 0:
								__magic_name__		:Union[str, Any]        =      node.forward[0]
								__magic_name__		:List[str]        =      node.value

				assert len(lowerCamelCase_ ) == 4
				assert all_values["Key1"] == 3
				assert all_values["Key2"] == 1_2
				assert all_values["Key3"] == 4_1
				assert all_values["Key4"] == -1_9

def      __lowercase					( ):







				"""simple docstring"""






				__magic_name__		:Optional[Any]        =      SkipList()
				skip_list.insert('''Key1''',  1_0 )
				skip_list.insert('''Key1''',  1_2 )

				skip_list.insert('''Key5''',  7 )
				skip_list.insert('''Key7''',  1_0 )
				skip_list.insert('''Key10''',  5 )

				skip_list.insert('''Key7''',  7 )
				skip_list.insert('''Key5''',  5 )
				skip_list.insert('''Key10''',  1_0 )

				__magic_name__		:Union[str, Any]        =      skip_list.head
				__magic_name__		:Dict        =      {}
				while node.level != 0:
								__magic_name__		:List[str]        =      node.forward[0]
								__magic_name__		:List[str]        =      node.value

				if len(lowerCamelCase_ ) != 4:
								print()
				assert len(lowerCamelCase_ ) == 4
				assert all_values["Key1"] == 1_2
				assert all_values["Key7"] == 7
				assert all_values["Key5"] == 5
				assert all_values["Key10"] == 1_0

def      __lowercase					( ):







				"""simple docstring"""






				__magic_name__		:Optional[Any]        =      SkipList()
				assert skip_list.find('''Some key''' ) is None

def      __lowercase					( ):







				"""simple docstring"""






				__magic_name__		:str        =      SkipList()

				skip_list.insert('''Key2''',  2_0 )
				assert skip_list.find('''Key2''' ) == 2_0

				skip_list.insert('''Some Key''',  1_0 )
				skip_list.insert('''Key2''',  8 )
				skip_list.insert('''V''',  1_3 )

				assert skip_list.find('''Y''' ) is None
				assert skip_list.find('''Key2''' ) == 8
				assert skip_list.find('''Some Key''' ) == 1_0
				assert skip_list.find('''V''' ) == 1_3

def      __lowercase					( ):







				"""simple docstring"""






				__magic_name__		:List[str]        =      SkipList()
				skip_list.delete('''Some key''' )

				assert len(skip_list.head.forward ) == 0

def      __lowercase					( ):







				"""simple docstring"""






				__magic_name__		:Tuple        =      SkipList()

				skip_list.insert('''Key1''',  1_2 )
				skip_list.insert('''V''',  1_3 )
				skip_list.insert('''X''',  1_4 )
				skip_list.insert('''Key2''',  1_5 )

				skip_list.delete('''V''' )
				skip_list.delete('''Key2''' )

				assert skip_list.find('''V''' ) is None
				assert skip_list.find('''Key2''' ) is None

def      __lowercase					( ):







				"""simple docstring"""






				__magic_name__		:Optional[int]        =      SkipList()

				skip_list.insert('''Key1''',  1_2 )
				skip_list.insert('''V''',  1_3 )
				skip_list.insert('''X''',  1_4 )
				skip_list.insert('''Key2''',  1_5 )

				skip_list.delete('''V''' )
				assert skip_list.find('''V''' ) is None
				assert skip_list.find('''X''' ) == 1_4
				assert skip_list.find('''Key1''' ) == 1_2
				assert skip_list.find('''Key2''' ) == 1_5

				skip_list.delete('''X''' )
				assert skip_list.find('''V''' ) is None
				assert skip_list.find('''X''' ) is None
				assert skip_list.find('''Key1''' ) == 1_2
				assert skip_list.find('''Key2''' ) == 1_5

				skip_list.delete('''Key1''' )
				assert skip_list.find('''V''' ) is None
				assert skip_list.find('''X''' ) is None
				assert skip_list.find('''Key1''' ) is None
				assert skip_list.find('''Key2''' ) == 1_5

				skip_list.delete('''Key2''' )
				assert skip_list.find('''V''' ) is None
				assert skip_list.find('''X''' ) is None
				assert skip_list.find('''Key1''' ) is None
				assert skip_list.find('''Key2''' ) is None

def      __lowercase					( ):







				"""simple docstring"""






				__magic_name__		:Optional[Any]        =      SkipList()

				skip_list.insert('''Key1''',  1_2 )
				skip_list.insert('''V''',  1_3 )
				skip_list.insert('''X''',  1_4_2 )
				skip_list.insert('''Key2''',  1_5 )

				skip_list.delete('''X''' )

				def traverse_keys(snake_case ):
								yield node.key
								for forward_node in node.forward:
												yield from traverse_keys(lowerCamelCase_ )

				assert len(set(traverse_keys(skip_list.head ) ) ) == 4

def      __lowercase					( ):







				"""simple docstring"""






				def is_sorted(snake_case ):
								return all(next_item >= item for item, next_item in zip(lowerCamelCase_,  lst[1:] ) )

				__magic_name__		:Any        =      SkipList()
				for i in range(1_0 ):
								skip_list.insert(lowerCamelCase_,  lowerCamelCase_ )
				assert is_sorted(list(lowerCamelCase_ ) )
				skip_list.delete(5 )
				skip_list.delete(8 )
				skip_list.delete(2 )
				assert is_sorted(list(lowerCamelCase_ ) )
				skip_list.insert(-1_2,  -1_2 )
				skip_list.insert(7_7,  7_7 )
				assert is_sorted(list(lowerCamelCase_ ) )

def      __lowercase					( ):







				"""simple docstring"""






				for _ in range(1_0_0 ):
								# Repeat test 100 times due to the probabilistic nature of skip list
								# random values == random bugs
								test_insert()
								test_insert_overrides_existing_value()

								test_searching_empty_list_returns_none()
								test_search()

								test_deleting_item_from_empty_list_do_nothing()
								test_deleted_items_are_not_founded_by_find_method()
								test_delete_removes_only_given_key()
								test_delete_doesnt_leave_dead_nodes()

								test_iter_always_yields_sorted_values()

def      __lowercase					( ):







				"""simple docstring"""






				__magic_name__		:List[Any]        =      SkipList()
				skip_list.insert(2,  '''2''' )
				skip_list.insert(4,  '''4''' )
				skip_list.insert(6,  '''4''' )
				skip_list.insert(4,  '''5''' )
				skip_list.insert(8,  '''4''' )
				skip_list.insert(9,  '''4''' )

				skip_list.delete(4 )

				print(lowerCamelCase_ )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()














import unittest

import numpy as np
import torch

from .utils_summarization import build_mask, compute_token_type_ids, process_story, truncate_or_pad
class 						lowerCamelCase_				(      unittest.TestCase ):







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:Dict        =      1_0







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:Dict        =      [1, 2, 3, 4]
								__magic_name__		:Union[str, Any]        =      [1, 2, 3, 4, 0, 0, 0, 0, 0, 0]
								self.assertEqual(truncate_or_pad(__lowerCAmelCase       ,					self.block_size       ,					0     )       ,					__lowerCAmelCase     )







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:Dict        =      [1, 2, 3, 4, 5, 6, 7, 8, 9, 1_0]
								__magic_name__		:Optional[Any]        =      [1, 2, 3, 4, 5, 6, 7, 8, 9, 1_0]
								self.assertEqual(truncate_or_pad(__lowerCAmelCase       ,					self.block_size       ,					0     )       ,					__lowerCAmelCase     )







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:Any        =      [1, 2, 3, 4, 5, 6, 7, 8, 9, 1_0, 1_1, 1_2, 1_3]
								__magic_name__		:str        =      [1, 2, 3, 4, 5, 6, 7, 8, 9, 1_0]
								self.assertEqual(truncate_or_pad(__lowerCAmelCase       ,					self.block_size       ,					0     )       ,					__lowerCAmelCase     )







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:Tuple        =      '''It was the year of Our Lord one thousand seven hundred and
        seventy-five.\n\nSpiritual revelations were conceded to England at that
        favoured period, as at this.'''
								__magic_name__     ,				__magic_name__		:Optional[int]        =      process_story(__lowerCAmelCase     )
								self.assertEqual(__lowerCAmelCase       ,					[]     )







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:Union[str, Any]        =      ''''''
								__magic_name__     ,				__magic_name__		:Optional[int]        =      process_story(__lowerCAmelCase     )
								self.assertEqual(__lowerCAmelCase       ,					[]     )
								self.assertEqual(__lowerCAmelCase       ,					[]     )







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:List[Any]        =      (
								    '''It was the year of Our Lord one thousand seven hundred and '''
								    '''seventy-five\n\nSpiritual revelations were conceded to England '''
								    '''at that favoured period, as at this.\n@highlight\n\nIt was the best of times'''
								)
								__magic_name__     ,				__magic_name__		:str        =      process_story(__lowerCAmelCase     )

								__magic_name__		:Optional[int]        =      [
								    '''It was the year of Our Lord one thousand seven hundred and seventy-five.''',
								    '''Spiritual revelations were conceded to England at that favoured period, as at this.''',
								]
								self.assertEqual(__lowerCAmelCase       ,					__lowerCAmelCase     )

								__magic_name__		:Union[str, Any]        =      ['''It was the best of times.''']
								self.assertEqual(__lowerCAmelCase       ,					__lowerCAmelCase     )







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:Any        =      torch.tensor([1, 2, 3, 4]     )
								__magic_name__		:List[str]        =      torch.tensor([1, 1, 1, 1]     )
								np.testing.assert_array_equal(build_mask(__lowerCAmelCase       ,					0     ).numpy()       ,					expected.numpy()     )







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:List[str]        =      torch.tensor([1, 2, 3, 4, 2_3, 2_3, 2_3]     )
								__magic_name__		:Union[str, Any]        =      torch.tensor([1, 1, 1, 1, 0, 0, 0]     )
								np.testing.assert_array_equal(build_mask(__lowerCAmelCase       ,					2_3     ).numpy()       ,					expected.numpy()     )







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:Any        =      torch.tensor([8, 2, 3, 4, 1, 1, 1]     )
								__magic_name__		:Dict        =      torch.tensor([1, 1, 1, 1, 0, 0, 0]     )
								np.testing.assert_array_equal(build_mask(__lowerCAmelCase       ,					1     ).numpy()       ,					expected.numpy()     )







				def 			A	(						self     ):
								"""simple docstring"""
								__magic_name__		:Dict        =      1_0_1
								__magic_name__		:List[Any]        =      torch.tensor([[1, 2, 3, 4, 5, 6], [1, 2, 3, 1_0_1, 5, 6], [1, 1_0_1, 3, 4, 1_0_1, 6]]     )
								__magic_name__		:str        =      torch.tensor([[1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 1]]     )

								__magic_name__		:Tuple        =      compute_token_type_ids(__lowerCAmelCase       ,					__lowerCAmelCase     )
								np.testing.assert_array_equal(__lowerCAmelCase       ,					__lowerCAmelCase     )






