
from __future__ import annotations

from random import random
from typing import Generic, TypeVar

__UpperCAmelCase							=			TypeVar("KT")
__UpperCAmelCase							=			TypeVar("VT")





class 							UpperCamelCase__						(     Generic[KT, VT]     ):






       """simple docstring"""


       def __init__(				self      ,			_A = "root"      ,			_A = None     )							->							str:
          SCREAMING_SNAKE_CASE_     =	key
          SCREAMING_SNAKE_CASE_     =	value
          SCREAMING_SNAKE_CASE_     =	[]



       def __repr__(				self     )							->							str:
          return F'''Node({self.key}: {self.value})'''




       @property
       def   _UpperCamelCase     (				self     )							->							int:
          return len(self.forward     )







class 							UpperCamelCase__						(     Generic[KT, VT]     ):






       """simple docstring"""


       def __init__(				self      ,			_A = 0.5      ,			_A = 16     )							->							Dict:
          SCREAMING_SNAKE_CASE_     =	Node[KT, VT]()
          SCREAMING_SNAKE_CASE_     =	0
          SCREAMING_SNAKE_CASE_     =	p
          SCREAMING_SNAKE_CASE_     =	max_level



       def __str__(				self     )							->							str:
          SCREAMING_SNAKE_CASE_     =	list(self     )

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

          SCREAMING_SNAKE_CASE_     =	max((len(str(_SCREAMING_SNAKE_CASE     )     ) for item in items)      ,			default=4     )
          SCREAMING_SNAKE_CASE_     =	max(_SCREAMING_SNAKE_CASE      ,			4     ) + 4

          SCREAMING_SNAKE_CASE_     =	self.head
          SCREAMING_SNAKE_CASE_     =	[]

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

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

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

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



       def __iter__(				self     )							->							Optional[Any]:
          SCREAMING_SNAKE_CASE_     =	self.head

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



       def   _UpperCamelCase     (				self     )							->							int:
          SCREAMING_SNAKE_CASE_     =	1
          while random() < self.p and level < self.max_level:
             level += 1

          return level



       def   _UpperCamelCase     (				self      ,			_A     )							->							tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:
          SCREAMING_SNAKE_CASE_     =	[]

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

          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   _UpperCamelCase     (				self      ,			_A     )							->							Tuple:
          SCREAMING_SNAKE_CASE_     =	self._locate_node(_SCREAMING_SNAKE_CASE     )

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



       def   _UpperCamelCase     (				self      ,			_A      ,			_A     )							->							Dict:
          SCREAMING_SNAKE_CASE_     =	self._locate_node(_SCREAMING_SNAKE_CASE     )
          if node is not None:
             SCREAMING_SNAKE_CASE_     =	value
          else:
             SCREAMING_SNAKE_CASE_     =	self.random_level()

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

             SCREAMING_SNAKE_CASE_     =	Node(_SCREAMING_SNAKE_CASE      ,			_SCREAMING_SNAKE_CASE     )

             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(_SCREAMING_SNAKE_CASE     )
                else:
                   SCREAMING_SNAKE_CASE_     =	new_node




       def   _UpperCamelCase     (				self      ,			_A     )							->							VT | None:
          SCREAMING_SNAKE_CASE_     =	self._locate_node(_SCREAMING_SNAKE_CASE     )

          if node is not None:
             return node.value

          return None







def       A__      (    ):
   SCREAMING_SNAKE_CASE_     =	SkipList()
   skip_list.insert('''Key1''',   3		)
   skip_list.insert('''Key2''',   12		)
   skip_list.insert('''Key3''',   41		)
   skip_list.insert('''Key4''',   -19		)

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

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


def       A__      (    ):
   SCREAMING_SNAKE_CASE_     =	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		)

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

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


def       A__      (    ):
   SCREAMING_SNAKE_CASE_     =	SkipList()
   assert skip_list.find('''Some key'''		) is None


def       A__      (    ):
   SCREAMING_SNAKE_CASE_     =	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       A__      (    ):
   SCREAMING_SNAKE_CASE_     =	SkipList()
   skip_list.delete('''Some key'''		)

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


def       A__      (    ):
   SCREAMING_SNAKE_CASE_     =	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       A__      (    ):
   SCREAMING_SNAKE_CASE_     =	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       A__      (    ):
   SCREAMING_SNAKE_CASE_     =	SkipList()

   skip_list.insert('''Key1''',   12		)
   skip_list.insert('''V''',   13		)
   skip_list.insert('''X''',   1_42		)
   skip_list.insert('''Key2''',   15		)

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

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

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


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

   SCREAMING_SNAKE_CASE_     =	SkipList()
   for i in range(10		):
      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(-12,   -12		)
   skip_list.insert(77,   77		)
   assert is_sorted(list(__lowerCamelCase		)		)


def       A__      (    ):
   for _ in range(1_00		):
      # 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       A__      (    ):
   SCREAMING_SNAKE_CASE_     =	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()






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


UpperCamelCase								=	{
    """configuration_nezha""": ["""NEZHA_PRETRAINED_CONFIG_ARCHIVE_MAP""", """NezhaConfig"""],
}

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     UpperCamelCase								=	[
         """NEZHA_PRETRAINED_MODEL_ARCHIVE_LIST""",
         """NezhaForNextSentencePrediction""",
         """NezhaForMaskedLM""",
         """NezhaForPreTraining""",
         """NezhaForMultipleChoice""",
         """NezhaForQuestionAnswering""",
         """NezhaForSequenceClassification""",
         """NezhaForTokenClassification""",
         """NezhaModel""",
         """NezhaPreTrainedModel""",
     ]


if TYPE_CHECKING:
     from .configuration_nezha import NEZHA_PRETRAINED_CONFIG_ARCHIVE_MAP, NezhaConfig

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_nezha import (
              NEZHA_PRETRAINED_MODEL_ARCHIVE_LIST,
              NezhaForMaskedLM,
              NezhaForMultipleChoice,
              NezhaForNextSentencePrediction,
              NezhaForPreTraining,
              NezhaForQuestionAnswering,
              NezhaForSequenceClassification,
              NezhaForTokenClassification,
              NezhaModel,
              NezhaPreTrainedModel,
          )


else:
     import sys

     UpperCamelCase								=	_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)




