
from __future__ import annotations

from random import random
from typing import Generic, TypeVar

__lowerCAmelCase			:     str           =   TypeVar('KT')
__lowerCAmelCase			:     Tuple           =   TypeVar('VT')




class        UpperCAmelCase_			( Generic[KT, VT]     ):


  '''simple docstring'''







  def __init__( self			: List[Any]			,							UpperCamelCase__			: KT | str = "root"			,							UpperCamelCase__			: VT | None = None    )			->	Optional[Any]:







    """simple docstring"""






    __magic_name__				     =       key
    __magic_name__				     =       value
    __magic_name__				     =       []
  def __repr__( self			: Optional[int]    )			->	str:







    """simple docstring"""






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





  @property
  def 							_lowercase							( self			: Union[str, Any]    )			->	int:







    """simple docstring"""






    return len(self.forward    )







class        UpperCAmelCase_			( Generic[KT, VT]     ):


  '''simple docstring'''







  def __init__( self			: str			,							UpperCamelCase__			: float = 0.5			,							UpperCamelCase__			: int = 16    )			->	Optional[Any]:







    """simple docstring"""






    __magic_name__				     =       Node[KT, VT]()
    __magic_name__				     =       0
    __magic_name__				     =       p
    __magic_name__				     =       max_level
  def __str__( self			: Optional[int]    )			->	str:







    """simple docstring"""






    __magic_name__				     =       list(self    )

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

    __magic_name__				     =       max((len(str(UpperCamelCase__    )    ) for item in items)			,							default=4    )
    __magic_name__				     =       max(UpperCamelCase__			,							4    ) + 4

    __magic_name__				     =       self.head
    __magic_name__				     =       []

    __magic_name__				     =       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__				     =       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__				     =       node.forward

    lines.append("""None""".ljust(UpperCamelCase__    ) + """* """ * len(UpperCamelCase__    )    )
    return F'''SkipList(level={self.level})\n''' + "\n".join(UpperCamelCase__    )
  def __iter__( self			: List[Any]    )			->	Tuple:







    """simple docstring"""






    __magic_name__				     =       self.head

    while len(node.forward    ) != 0:
      yield node.forward[0].key
      __magic_name__				     =       node.forward[0]
  def 							_lowercase							( self			: Optional[Any]    )			->	int:







    """simple docstring"""






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

    return level
  def 							_lowercase							( self			: List[str]			,							UpperCamelCase__			: int    )			->	tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:







    """simple docstring"""






    __magic_name__				     =       []

    __magic_name__				     =       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__				     =       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 							_lowercase							( self			: Optional[Any]			,							UpperCamelCase__			: KT    )			->	Tuple:







    """simple docstring"""






    __magic_name__     ,    __magic_name__				     =       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__				     =       node.forward[i]
          else:
            __magic_name__				     =       update_node.forward[:i]
  def 							_lowercase							( self			: List[str]			,							UpperCamelCase__			: KT			,							UpperCamelCase__			: VT    )			->	Union[str, Any]:







    """simple docstring"""






    __magic_name__     ,    __magic_name__				     =       self._locate_node(UpperCamelCase__    )
    if node is not None:
      __magic_name__				     =       value
    else:
      __magic_name__				     =       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__				     =       level

      __magic_name__				     =       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__				     =       new_node





  def 							_lowercase							( self			: Any			,							UpperCamelCase__			: VT    )			->	VT | None:







    """simple docstring"""






    __magic_name__     ,    __magic_name__				     =       self._locate_node(UpperCamelCase__    )

    if node is not None:
      return node.value

    return None







def a__    (       ):






  '''simple docstring'''





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

  __magic_name__				     =       skip_list.head
  __magic_name__				     =       {}
  while node.level != 0:
    __magic_name__				     =       node.forward[0]
    __magic_name__				     =       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 a__    (       ):






  '''simple docstring'''





  __magic_name__				     =       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					)

  __magic_name__				     =       skip_list.head
  __magic_name__				     =       {}
  while node.level != 0:
    __magic_name__				     =       node.forward[0]
    __magic_name__				     =       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 a__    (       ):






  '''simple docstring'''





  __magic_name__				     =       SkipList()
  assert skip_list.find("""Some key"""					) is None

def a__    (       ):






  '''simple docstring'''





  __magic_name__				     =       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__    (       ):






  '''simple docstring'''





  __magic_name__				     =       SkipList()
  skip_list.delete("""Some key"""					)

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

def a__    (       ):






  '''simple docstring'''





  __magic_name__				     =       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__    (       ):






  '''simple docstring'''





  __magic_name__				     =       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__    (       ):






  '''simple docstring'''





  __magic_name__				     =       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 a__    (       ):






  '''simple docstring'''





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

  __magic_name__				     =       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 a__    (       ):






  '''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 a__    (       ):






  '''simple docstring'''





  __magic_name__				     =       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()



from typing import TYPE_CHECKING

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


__lowerCAmelCase			:     List[str]           =   {
    'configuration_xlm': ['XLM_PRETRAINED_CONFIG_ARCHIVE_MAP', 'XLMConfig', 'XLMOnnxConfig'],
    'tokenization_xlm': ['XLMTokenizer'],
}

try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __lowerCAmelCase			:     str           =   [
        'XLM_PRETRAINED_MODEL_ARCHIVE_LIST',
        'XLMForMultipleChoice',
        'XLMForQuestionAnswering',
        'XLMForQuestionAnsweringSimple',
        'XLMForSequenceClassification',
        'XLMForTokenClassification',
        'XLMModel',
        'XLMPreTrainedModel',
        'XLMWithLMHeadModel',
    ]

try:
    if not is_tf_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __lowerCAmelCase			:     Dict           =   [
        'TF_XLM_PRETRAINED_MODEL_ARCHIVE_LIST',
        'TFXLMForMultipleChoice',
        'TFXLMForQuestionAnsweringSimple',
        'TFXLMForSequenceClassification',
        'TFXLMForTokenClassification',
        'TFXLMMainLayer',
        'TFXLMModel',
        'TFXLMPreTrainedModel',
        'TFXLMWithLMHeadModel',
    ]


if TYPE_CHECKING:
    from .configuration_xlm import XLM_PRETRAINED_CONFIG_ARCHIVE_MAP, XLMConfig, XLMOnnxConfig
    from .tokenization_xlm import XLMTokenizer

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_xlm import (
            XLM_PRETRAINED_MODEL_ARCHIVE_LIST,
            XLMForMultipleChoice,
            XLMForQuestionAnswering,
            XLMForQuestionAnsweringSimple,
            XLMForSequenceClassification,
            XLMForTokenClassification,
            XLMModel,
            XLMPreTrainedModel,
            XLMWithLMHeadModel,
        )

    try:
        if not is_tf_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_tf_xlm import (
            TF_XLM_PRETRAINED_MODEL_ARCHIVE_LIST,
            TFXLMForMultipleChoice,
            TFXLMForQuestionAnsweringSimple,
            TFXLMForSequenceClassification,
            TFXLMForTokenClassification,
            TFXLMMainLayer,
            TFXLMModel,
            TFXLMPreTrainedModel,
            TFXLMWithLMHeadModel,
        )

else:
    import sys

    __lowerCAmelCase			:     Any           =   _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)

