





'''simple docstring'''






from __future__ import annotations

from random import random
from typing import Generic, TypeVar

A_		:  Optional[Any]		 =						TypeVar("KT")
A_		:  str		 =						TypeVar("VT")
class 					__snake_case  (					Generic[KT, VT]							):






   '''simple docstring'''





   def __init__(							self	,		__SCREAMING_SNAKE_CASE = "root"	,		__SCREAMING_SNAKE_CASE = None       ):
    snake_case__     :					Optional[int]    =  key
    snake_case__     :					List[str]    =  value
    snake_case__     :					list[Node[KT, VT]]    =  []

   def __repr__(							self       ):
    return f"Node({self.key}: {self.value})"


   @property
   def 		__UpperCamelCase						(							self       ):
    return len(self.forward       )



class 					__snake_case  (					Generic[KT, VT]							):






   '''simple docstring'''





   def __init__(							self	,		__SCREAMING_SNAKE_CASE = 0.5	,		__SCREAMING_SNAKE_CASE = 1_6       ):
    snake_case__     :					Node[KT, VT]    =  Node[KT, VT]()
    snake_case__     :					int    =  0
    snake_case__     :					List[Any]    =  p
    snake_case__     :					str    =  max_level

   def __str__(							self       ):
    snake_case__     :					List[Any]    =  list(self       )

    if len(__SCREAMING_SNAKE_CASE       ) == 0:
     return f"SkipList(level={self.level})"

    snake_case__     :					Dict    =  max((len(str(__SCREAMING_SNAKE_CASE       )       ) for item in items)	,		default=4       )
    snake_case__     :					str    =  max(__SCREAMING_SNAKE_CASE	,		4       ) + 4

    snake_case__     :					List[str]    =  self.head
    snake_case__     :					Any    =  []

    snake_case__     :					Optional[Any]    =  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:
     snake_case__     :					Union[str, Any]    =  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       )       )
     snake_case__     :					Optional[Any]    =  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       ):
    snake_case__     :					Tuple    =  self.head

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

   def 		__UpperCamelCase						(							self       ):
    snake_case__     :					Any    =  1
    while random() < self.p and level < self.max_level:
     level += 1

    return level

   def 		__UpperCamelCase						(							self	,		__SCREAMING_SNAKE_CASE       ):
    snake_case__     :					List[Any]    =  []

    snake_case__     :					Union[str, 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:
      snake_case__     :					Optional[Any]    =  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	,		__SCREAMING_SNAKE_CASE       ):
    snake_case__  ,							snake_case__     :					Optional[int]    =  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:
        snake_case__     :					List[str]    =  node.forward[i]
       else:
        snake_case__     :					Tuple    =  update_node.forward[:i]

   def 		__UpperCamelCase						(							self	,		__SCREAMING_SNAKE_CASE	,		__SCREAMING_SNAKE_CASE       ):
    snake_case__  ,							snake_case__     :					List[Any]    =  self._locate_node(__SCREAMING_SNAKE_CASE       )
    if node is not None:
     snake_case__     :					str    =  value
    else:
     snake_case__     :					Optional[int]    =  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       )
      snake_case__     :					Union[str, Any]    =  level

     snake_case__     :					Union[str, Any]    =  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:
       snake_case__     :					Dict    =  new_node


   def 		__UpperCamelCase						(							self	,		__SCREAMING_SNAKE_CASE       ):
    snake_case__  ,							snake_case__     :					Optional[Any]    =  self._locate_node(__SCREAMING_SNAKE_CASE       )

    if node is not None:
     return node.value

    return None



def        UpperCamelCase__		(						)				->			Union[str, Any]:
 '''simple docstring'''






 snake_case__     :					Union[str, Any]    =  SkipList()
 skip_list.insert("""Key1"""		,       3      )
 skip_list.insert("""Key2"""		,       12      )
 skip_list.insert("""Key3"""		,       41      )
 skip_list.insert("""Key4"""		,       -19      )

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

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



def        UpperCamelCase__		(						)				->			int:
 '''simple docstring'''






 snake_case__     :					Any    =  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      )

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

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



def        UpperCamelCase__		(						)				->			Optional[Any]:
 '''simple docstring'''






 snake_case__     :					Optional[int]    =  SkipList()
 assert skip_list.find("""Some key"""      ) is None



def        UpperCamelCase__		(						)				->			Any:
 '''simple docstring'''






 snake_case__     :					Optional[Any]    =  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        UpperCamelCase__		(						)				->			int:
 '''simple docstring'''






 snake_case__     :					int    =  SkipList()
 skip_list.delete("""Some key"""      )

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



def        UpperCamelCase__		(						)				->			List[str]:
 '''simple docstring'''






 snake_case__     :					Any    =  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        UpperCamelCase__		(						)				->			List[Any]:
 '''simple docstring'''






 snake_case__     :					Dict    =  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        UpperCamelCase__		(						)				->			List[Any]:
 '''simple docstring'''






 snake_case__     :					int    =  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(__magic_name__  :   Any      ):
  yield node.key
  for forward_node in node.forward:
   yield from traverse_keys(__magic_name__      )

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



def        UpperCamelCase__		(						)				->			Optional[Any]:
 '''simple docstring'''






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

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



def        UpperCamelCase__		(						)				->			int:
 '''simple docstring'''






 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        UpperCamelCase__		(						)				->			str:
 '''simple docstring'''






 snake_case__     :					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(__magic_name__      )


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()








'''simple docstring'''







from typing import TYPE_CHECKING

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


lowerCAmelCase     :  Any											=    {
    """configuration_canine""": ["""CANINE_PRETRAINED_CONFIG_ARCHIVE_MAP""", """CanineConfig"""],
    """tokenization_canine""": ["""CanineTokenizer"""],
}

try:
       if not is_torch_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       lowerCAmelCase     :  Tuple											=    [
           """CANINE_PRETRAINED_MODEL_ARCHIVE_LIST""",
           """CanineForMultipleChoice""",
           """CanineForQuestionAnswering""",
           """CanineForSequenceClassification""",
           """CanineForTokenClassification""",
           """CanineLayer""",
           """CanineModel""",
           """CaninePreTrainedModel""",
           """load_tf_weights_in_canine""",
       ]


if TYPE_CHECKING:
       from .configuration_canine import CANINE_PRETRAINED_CONFIG_ARCHIVE_MAP, CanineConfig
       from .tokenization_canine import CanineTokenizer

       try:
              if not is_torch_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_canine import (
                  CANINE_PRETRAINED_MODEL_ARCHIVE_LIST,
                  CanineForMultipleChoice,
                  CanineForQuestionAnswering,
                  CanineForSequenceClassification,
                  CanineForTokenClassification,
                  CanineLayer,
                  CanineModel,
                  CaninePreTrainedModel,
                  load_tf_weights_in_canine,
              )


else:
       import sys

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

