

from __future__ import annotations

from random import random
from typing import Generic, TypeVar

_lowerCamelCase    :       List[str]        =							TypeVar("KT")
_lowerCamelCase    :       str        =							TypeVar("VT")





class  __UpperCAmelCase					(	Generic[KT, VT]						):



   def __init__(							self							:					Union[str, Any],		__A							:					KT | str = "root",		__A							:					VT | None = None						):
     UpperCAmelCase	:							List[Any]						=			key
     UpperCAmelCase	:							int						=			value
     UpperCAmelCase	:							list[Node[KT, VT]]						=			[]



   def __repr__(							self							:					Union[str, Any]						):
     return F'''Node({self.key}: {self.value})'''





   @property
   def 	__magic_name__   (							self							:					str						):
     return len(self.forward						)






class  __UpperCAmelCase					(	Generic[KT, VT]						):



   def __init__(							self							:					str,		__A							:					float = 0.5,		__A							:					int = 1_6						):
     UpperCAmelCase	:							Node[KT, VT]						=			Node[KT, VT]()
     UpperCAmelCase	:							Union[str, Any]						=			0
     UpperCAmelCase	:							Optional[int]						=			p
     UpperCAmelCase	:							List[Any]						=			max_level



   def __str__(							self							:					Optional[Any]						):
     UpperCAmelCase	:							str						=			list(self						)

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

     UpperCAmelCase	:							List[str]						=			max((len(str(__A						)						) for item in items),		default=4						)
     UpperCAmelCase	:							Any						=			max(__A,		4						) + 4

     UpperCAmelCase	:							Tuple						=			self.head
     UpperCAmelCase	:							Dict						=			[]

     UpperCAmelCase	:							Optional[int]						=			node.forward.copy()
     lines.append(F'''[{node.key}]'''.ljust(__A,		'''-'''						) + '''* ''' * len(__A						)						)
     lines.append(''' ''' * label_size + '''| ''' * len(__A						)						)

     while len(node.forward						) != 0:
       UpperCAmelCase	:							Dict						=			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						)						)
       UpperCAmelCase	:							List[Any]						=			node.forward

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



   def __iter__(							self							:					Dict						):
     UpperCAmelCase	:							Dict						=			self.head

     while len(node.forward						) != 0:
       yield node.forward[0].key
       UpperCAmelCase	:							Union[str, Any]						=			node.forward[0]



   def 	__magic_name__   (							self							:					str						):
     UpperCAmelCase	:							str						=			1
     while random() < self.p and level < self.max_level:
       level += 1

     return level



   def 	__magic_name__   (							self							:					Union[str, Any],		__A							:					List[str]						):
     UpperCAmelCase	:							Union[str, Any]						=			[]

     UpperCAmelCase	:							Optional[Any]						=			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:
         UpperCAmelCase	:							int						=			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 	__magic_name__   (							self							:					Tuple,		__A							:					KT						):
     UpperCAmelCase			,						UpperCAmelCase	:							Union[str, Any]						=			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:
             UpperCAmelCase	:							List[str]						=			node.forward[i]
           else:
             UpperCAmelCase	:							List[Any]						=			update_node.forward[:i]



   def 	__magic_name__   (							self							:					int,		__A							:					KT,		__A							:					VT						):
     UpperCAmelCase			,						UpperCAmelCase	:							List[str]						=			self._locate_node(__A						)
     if node is not None:
       UpperCAmelCase	:							Union[str, Any]						=			value
     else:
       UpperCAmelCase	:							List[Any]						=			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						)
         UpperCAmelCase	:							List[Any]						=			level

       UpperCAmelCase	:							List[Any]						=			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:
           UpperCAmelCase	:							List[Any]						=			new_node





   def 	__magic_name__   (							self							:					Tuple,		__A							:					VT						):
     UpperCAmelCase			,						UpperCAmelCase	:							str						=			self._locate_node(__A						)

     if node is not None:
       return node.value

     return None






def       a__					(		)  ->						List[Any]:
  UpperCAmelCase	:							List[Any]						=			SkipList()
  skip_list.insert('''Key1'''    ,			3      )
  skip_list.insert('''Key2'''    ,			12      )
  skip_list.insert('''Key3'''    ,			41      )
  skip_list.insert('''Key4'''    ,			-19      )

  UpperCAmelCase	:							Optional[Any]						=			skip_list.head
  UpperCAmelCase	:							Tuple						=			{}
  while node.level != 0:
    UpperCAmelCase	:							Any						=			node.forward[0]
    UpperCAmelCase	:							Tuple						=			node.value

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

def       a__					(		)  ->						Dict:
  UpperCAmelCase	:							List[str]						=			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      )

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

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

def       a__					(		)  ->						Any:
  UpperCAmelCase	:							int						=			SkipList()
  assert skip_list.find('''Some key'''      ) is None

def       a__					(		)  ->						Union[str, Any]:
  UpperCAmelCase	:							Dict						=			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__					(		)  ->						List[Any]:
  UpperCAmelCase	:							Any						=			SkipList()
  skip_list.delete('''Some key'''      )

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

def       a__					(		)  ->						Optional[Any]:
  UpperCAmelCase	:							Optional[int]						=			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__					(		)  ->						str:
  UpperCAmelCase	:							Optional[int]						=			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__					(		)  ->						Union[str, Any]:
  UpperCAmelCase	:							Optional[int]						=			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(UpperCAmelCase							:      Dict      ):
    yield node.key
    for forward_node in node.forward:
      yield from traverse_keys(UpperCAmelCase      )

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

def       a__					(		)  ->						List[str]:
  def is_sorted(UpperCAmelCase							:      Optional[Any]      ):
    return all(next_item >= item for item, next_item in zip(UpperCAmelCase    ,			lst[1:]      )      )

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

def       a__					(		)  ->						Any:
  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       a__					(		)  ->						Dict:
  UpperCAmelCase	:							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(UpperCAmelCase      )


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     main()








from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


_lowerCamelCase    :       str        =							{"configuration_xlnet": ["XLNET_PRETRAINED_CONFIG_ARCHIVE_MAP", "XLNetConfig"]}

try:
     if not is_sentencepiece_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _lowerCamelCase    :       List[Any]        =							["XLNetTokenizer"]

try:
     if not is_tokenizers_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _lowerCamelCase    :       Optional[Any]        =							["XLNetTokenizerFast"]

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _lowerCamelCase    :       Dict        =							[
         "XLNET_PRETRAINED_MODEL_ARCHIVE_LIST",
         "XLNetForMultipleChoice",
         "XLNetForQuestionAnswering",
         "XLNetForQuestionAnsweringSimple",
         "XLNetForSequenceClassification",
         "XLNetForTokenClassification",
         "XLNetLMHeadModel",
         "XLNetModel",
         "XLNetPreTrainedModel",
         "load_tf_weights_in_xlnet",
     ]

try:
     if not is_tf_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _lowerCamelCase    :       Union[str, Any]        =							[
         "TF_XLNET_PRETRAINED_MODEL_ARCHIVE_LIST",
         "TFXLNetForMultipleChoice",
         "TFXLNetForQuestionAnsweringSimple",
         "TFXLNetForSequenceClassification",
         "TFXLNetForTokenClassification",
         "TFXLNetLMHeadModel",
         "TFXLNetMainLayer",
         "TFXLNetModel",
         "TFXLNetPreTrainedModel",
     ]


if TYPE_CHECKING:
     from .configuration_xlnet import XLNET_PRETRAINED_CONFIG_ARCHIVE_MAP, XLNetConfig

     try:
          if not is_sentencepiece_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .tokenization_xlnet import XLNetTokenizer

     try:
          if not is_tokenizers_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .tokenization_xlnet_fast import XLNetTokenizerFast

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_xlnet import (
              XLNET_PRETRAINED_MODEL_ARCHIVE_LIST,
              XLNetForMultipleChoice,
              XLNetForQuestionAnswering,
              XLNetForQuestionAnsweringSimple,
              XLNetForSequenceClassification,
              XLNetForTokenClassification,
              XLNetLMHeadModel,
              XLNetModel,
              XLNetPreTrainedModel,
              load_tf_weights_in_xlnet,
          )

     try:
          if not is_tf_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_tf_xlnet import (
              TF_XLNET_PRETRAINED_MODEL_ARCHIVE_LIST,
              TFXLNetForMultipleChoice,
              TFXLNetForQuestionAnsweringSimple,
              TFXLNetForSequenceClassification,
              TFXLNetForTokenClassification,
              TFXLNetLMHeadModel,
              TFXLNetMainLayer,
              TFXLNetModel,
              TFXLNetPreTrainedModel,
          )

else:
     import sys

     _lowerCamelCase    :       Optional[Any]        =							_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)





