



'''simple docstring'''





from __future__ import annotations

from random import random
from typing import Generic, TypeVar

lowercase_	 =						TypeVar("KT")
lowercase_	 =						TypeVar("VT")






class __A    (						Generic[KT, VT]		):



 '''simple docstring'''







 def __init__(self				,     A = "root"				,     A = None )					->  str:


      """simple docstring"""



      _a											=						key
      _a											=						value
      _a											=						[]



 def __repr__(self )					->  str:


      """simple docstring"""



      return f'''Node({self.key}: {self.value})'''



 @property
 def       a__						(self )					->  int:


      """simple docstring"""



      return len(self.forward )






class __A    (						Generic[KT, VT]		):



 '''simple docstring'''







 def __init__(self				,     A = 0.5				,     A = 16 )					->  str:


      """simple docstring"""



      _a											=						Node[KT, VT]()
      _a											=						0
      _a											=						p
      _a											=						max_level



 def __str__(self )					->  str:


      """simple docstring"""



      _a											=						list(self )

      if len(A ) == 0:
           return f'''SkipList(level={self.level})'''

      _a											=						max((len(str(A ) ) for item in items)				,     default=4 )
      _a											=						max(A				,     4 ) + 4

      _a											=						self.head
      _a											=						[]

      _a											=						node.forward.copy()
      lines.append(f'''[{node.key}]'''.ljust(A				,     '''-''' ) + '''* ''' * len(A ) )
      lines.append(''' ''' * label_size + '''| ''' * len(A ) )

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

           lines.append(
               f'''[{node.key}]'''.ljust(A				,     '''-''' )
               + ''' '''.join(str(n.key ) if n.key == node.key else '''|''' for n in forwards ) )
           lines.append(''' ''' * label_size + '''| ''' * len(A ) )
           _a											=						node.forward

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



 def __iter__(self )					->  Tuple:


      """simple docstring"""



      _a											=						self.head

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



 def       a__						(self )					->  int:


      """simple docstring"""



      _a											=						1
      while random() < self.p and level < self.max_level:
           level += 1

      return level



 def       a__						(self				,     A )					->  tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:


      """simple docstring"""



      _a											=						[]

      _a											=						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:
                _a											=						node.forward[i]
           # Each leftmost node (relative to searched node) will potentially have to
           # be updated.
           update_vector.append(A )

      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				,     A )					->  Optional[int]:


      """simple docstring"""



      _a						,					_a											=						self._locate_node(A )

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



 def       a__						(self				,     A				,     A )					->  Any:


      """simple docstring"""



      _a						,					_a											=						self._locate_node(A )
      if node is not None:
           _a											=						value
      else:
           _a											=						self.random_level()

           if level > self.level:
                # After level increase we have to add additional nodes to head.
                for _ in range(self.level - 1				,     A ):
                     update_vector.append(self.head )
                _a											=						level

           _a											=						Node(A				,     A )

           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(A )
                else:
                     _a											=						new_node



 def       a__						(self				,     A )					->  VT | None:


      """simple docstring"""



      _a						,					_a											=						self._locate_node(A )

      if node is not None:
           return node.value

      return None





def lowerCAmelCase						():



     """simple docstring"""



     _a											=						SkipList()
     skip_list.insert('''Key1'''						,			3)
     skip_list.insert('''Key2'''						,			12)
     skip_list.insert('''Key3'''						,			41)
     skip_list.insert('''Key4'''						,			-19)

     _a											=						skip_list.head
     _a											=						{}
     while node.level != 0:
          _a											=						node.forward[0]
          _a											=						node.value

     assert len(__A) == 4
     assert all_values["Key1"] == 3
     assert all_values["Key2"] == 12
     assert all_values["Key3"] == 41
     assert all_values["Key4"] == -19




def lowerCAmelCase						():



     """simple docstring"""



     _a											=						SkipList()
     skip_list.insert('''Key1'''						,			10)
     skip_list.insert('''Key1'''						,			12)

     skip_list.insert('''Key5'''						,			7)
     skip_list.insert('''Key7'''						,			10)
     skip_list.insert('''Key10'''						,			5)

     skip_list.insert('''Key7'''						,			7)
     skip_list.insert('''Key5'''						,			5)
     skip_list.insert('''Key10'''						,			10)

     _a											=						skip_list.head
     _a											=						{}
     while node.level != 0:
          _a											=						node.forward[0]
          _a											=						node.value

     if len(__A) != 4:
          print()
     assert len(__A) == 4
     assert all_values["Key1"] == 12
     assert all_values["Key7"] == 7
     assert all_values["Key5"] == 5
     assert all_values["Key10"] == 10




def lowerCAmelCase						():



     """simple docstring"""



     _a											=						SkipList()
     assert skip_list.find('''Some key''') is None




def lowerCAmelCase						():



     """simple docstring"""



     _a											=						SkipList()

     skip_list.insert('''Key2'''						,			20)
     assert skip_list.find('''Key2''') == 20

     skip_list.insert('''Some Key'''						,			10)
     skip_list.insert('''Key2'''						,			8)
     skip_list.insert('''V'''						,			13)

     assert skip_list.find('''Y''') is None
     assert skip_list.find('''Key2''') == 8
     assert skip_list.find('''Some Key''') == 10
     assert skip_list.find('''V''') == 13




def lowerCAmelCase						():



     """simple docstring"""



     _a											=						SkipList()
     skip_list.delete('''Some key''')

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




def lowerCAmelCase						():



     """simple docstring"""



     _a											=						SkipList()

     skip_list.insert('''Key1'''						,			12)
     skip_list.insert('''V'''						,			13)
     skip_list.insert('''X'''						,			14)
     skip_list.insert('''Key2'''						,			15)

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

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




def lowerCAmelCase						():



     """simple docstring"""



     _a											=						SkipList()

     skip_list.insert('''Key1'''						,			12)
     skip_list.insert('''V'''						,			13)
     skip_list.insert('''X'''						,			14)
     skip_list.insert('''Key2'''						,			15)

     skip_list.delete('''V''')
     assert skip_list.find('''V''') is None
     assert skip_list.find('''X''') == 14
     assert skip_list.find('''Key1''') == 12
     assert skip_list.find('''Key2''') == 15

     skip_list.delete('''X''')
     assert skip_list.find('''V''') is None
     assert skip_list.find('''X''') is None
     assert skip_list.find('''Key1''') == 12
     assert skip_list.find('''Key2''') == 15

     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''') == 15

     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 lowerCAmelCase						():



     """simple docstring"""



     _a											=						SkipList()

     skip_list.insert('''Key1'''						,			12)
     skip_list.insert('''V'''						,			13)
     skip_list.insert('''X'''						,			142)
     skip_list.insert('''Key2'''						,			15)

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

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

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




def lowerCAmelCase						():



     """simple docstring"""



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

     _a											=						SkipList()
     for i in range(10):
          skip_list.insert(__A						,			__A)
     assert is_sorted(list(__A))
     skip_list.delete(5)
     skip_list.delete(8)
     skip_list.delete(2)
     assert is_sorted(list(__A))
     skip_list.insert(-12						,			-12)
     skip_list.insert(77						,			77)
     assert is_sorted(list(__A))




def lowerCAmelCase						():



     """simple docstring"""



     for _ in range(100):
          # 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 lowerCAmelCase						():



     """simple docstring"""



     _a											=						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(__A)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()








'''simple docstring'''





import pytest

import datasets


# Import fixture modules as plugins
lowercase_	 =						["tests.fixtures.files", "tests.fixtures.hub", "tests.fixtures.fsspec"]




def lowerCAmelCase						(__A						,			__A):



     """simple docstring"""



     for item in items:
          if any(marker in item.keywords for marker in ['''integration''', '''unit''']):
               continue
          item.add_marker(pytest.mark.unit)




def lowerCAmelCase						(__A):



     """simple docstring"""



     config.addinivalue_line('''markers'''						,			'''torchaudio_latest: mark test to run with torchaudio>=0.12''')




@pytest.fixture(autouse=__A)
def lowerCAmelCase						(__A						,			__A):



     """simple docstring"""



     _a											=						tmp_path_factory.getbasetemp() / '''cache'''
     _a											=						test_hf_cache_home / '''datasets'''
     _a											=						test_hf_cache_home / '''metrics'''
     _a											=						test_hf_cache_home / '''modules'''
     monkeypatch.setattr('''datasets.config.HF_DATASETS_CACHE'''						,			str(__A))
     monkeypatch.setattr('''datasets.config.HF_METRICS_CACHE'''						,			str(__A))
     monkeypatch.setattr('''datasets.config.HF_MODULES_CACHE'''						,			str(__A))
     _a											=						test_hf_datasets_cache / '''downloads'''
     monkeypatch.setattr('''datasets.config.DOWNLOADED_DATASETS_PATH'''						,			str(__A))
     _a											=						test_hf_datasets_cache / '''downloads''' / '''extracted'''
     monkeypatch.setattr('''datasets.config.EXTRACTED_DATASETS_PATH'''						,			str(__A))




@pytest.fixture(autouse=__A						,			scope='''session''')
def lowerCAmelCase						():



     """simple docstring"""



     datasets.disable_progress_bar()




@pytest.fixture(autouse=__A)
def lowerCAmelCase						(__A):



     """simple docstring"""



     monkeypatch.setattr('''datasets.config.HF_UPDATE_DOWNLOAD_COUNTS'''						,			__A)




@pytest.fixture
def lowerCAmelCase						(__A):



     """simple docstring"""



     monkeypatch.setattr('''sqlalchemy.util.deprecations.SILENCE_UBER_WARNING'''						,			__A)



