






"""simple docstring"""


from __future__ import annotations

from random import random
from typing import Generic, TypeVar

_UpperCamelCase    :   int   			=						TypeVar('KT')
_UpperCamelCase    :   Any   			=						TypeVar('VT')






class 						snake_case  (  Generic[KT, VT]	):





    def __init__(							self     : str    ,		A     : KT | str = "root"    ,		A     : VT | None = None      ):


      '''simple docstring'''




      a					:      Optional[Any]    =       key
      a					:      str    =       value
      a					:      list[Node[KT, VT]]    =       []





    def __repr__(							self     : Any      ):


      '''simple docstring'''




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





    @property
    def     lowerCamelCase__				(							self     : Tuple      ):


      '''simple docstring'''




      return len(self.forward      )






class 						snake_case  (  Generic[KT, VT]	):





    def __init__(							self     : Tuple    ,		A     : float = 0.5    ,		A     : int = 1_6      ):


      '''simple docstring'''




      a					:      Node[KT, VT]    =       Node[KT, VT]()
      a					:      Optional[Any]    =       0
      a					:      Optional[int]    =       p
      a					:      str    =       max_level





    def __str__(							self     : List[Any]      ):


      '''simple docstring'''




      a					:      Optional[Any]    =       list(self      )

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

      a					:      List[Any]    =       max((len(str(A      )      ) for item in items)    ,		default=4      )
      a					:      Tuple    =       max(A    ,		4      ) + 4

      a					:      Optional[int]    =       self.head
      a					:      Tuple    =       []

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

      while len(node.forward      ) != 0:
        a					:      List[str]    =       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					:      List[str]    =       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					:      Optional[Any]    =       self.head

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





    def     lowerCamelCase__				(							self     : Optional[int]      ):


      '''simple docstring'''




      a					:      List[str]    =       1
      while random() < self.p and level < self.max_level:
        level += 1

      return level





    def     lowerCamelCase__				(							self     : Optional[int]    ,		A     : str      ):


      '''simple docstring'''




      a					:      Any    =       []

      a					:      Tuple    =       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					:      Optional[Any]    =       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     lowerCamelCase__				(							self     : List[Any]    ,		A     : KT      ):


      '''simple docstring'''




      a,					a					:      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:
              a					:      List[Any]    =       node.forward[i]
            else:
              a					:      Optional[Any]    =       update_node.forward[:i]





    def     lowerCamelCase__				(							self     : str    ,		A     : KT    ,		A     : VT      ):


      '''simple docstring'''




      a,					a					:      Optional[int]    =       self._locate_node(A      )
      if node is not None:
        a					:      str    =       value
      else:
        a					:      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      )
          a					:      Any    =       level

        a					:      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:
            a					:      str    =       new_node





    def     lowerCamelCase__				(							self     : str    ,		A     : VT      ):


      '''simple docstring'''




      a,					a					:      Optional[int]    =       self._locate_node(A      )

      if node is not None:
        return node.value

      return None




def       snake_case  ():







  '''simple docstring'''

  a					:      Union[str, Any]    =       SkipList()
  skip_list.insert('Key1'     ,      3				)
  skip_list.insert('Key2'     ,      1_2				)
  skip_list.insert('Key3'     ,      4_1				)
  skip_list.insert('Key4'     ,      -1_9				)

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

  assert len(A_				) == 4
  assert all_values["Key1"] == 3
  assert all_values["Key2"] == 1_2
  assert all_values["Key3"] == 4_1
  assert all_values["Key4"] == -1_9




def       snake_case  ():







  '''simple docstring'''

  a					:      Any    =       SkipList()
  skip_list.insert('Key1'     ,      1_0				)
  skip_list.insert('Key1'     ,      1_2				)

  skip_list.insert('Key5'     ,      7				)
  skip_list.insert('Key7'     ,      1_0				)
  skip_list.insert('Key10'     ,      5				)

  skip_list.insert('Key7'     ,      7				)
  skip_list.insert('Key5'     ,      5				)
  skip_list.insert('Key10'     ,      1_0				)

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

  if len(A_				) != 4:
    print()
  assert len(A_				) == 4
  assert all_values["Key1"] == 1_2
  assert all_values["Key7"] == 7
  assert all_values["Key5"] == 5
  assert all_values["Key10"] == 1_0




def       snake_case  ():







  '''simple docstring'''

  a					:      Optional[Any]    =       SkipList()
  assert skip_list.find('Some key'				) is None




def       snake_case  ():







  '''simple docstring'''

  a					:      Dict    =       SkipList()

  skip_list.insert('Key2'     ,      2_0				)
  assert skip_list.find('Key2'				) == 2_0

  skip_list.insert('Some Key'     ,      1_0				)
  skip_list.insert('Key2'     ,      8				)
  skip_list.insert('V'     ,      1_3				)

  assert skip_list.find('Y'				) is None
  assert skip_list.find('Key2'				) == 8
  assert skip_list.find('Some Key'				) == 1_0
  assert skip_list.find('V'				) == 1_3




def       snake_case  ():







  '''simple docstring'''

  a					:      List[str]    =       SkipList()
  skip_list.delete('Some key'				)

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




def       snake_case  ():







  '''simple docstring'''

  a					:      List[str]    =       SkipList()

  skip_list.insert('Key1'     ,      1_2				)
  skip_list.insert('V'     ,      1_3				)
  skip_list.insert('X'     ,      1_4				)
  skip_list.insert('Key2'     ,      1_5				)

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

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




def       snake_case  ():







  '''simple docstring'''

  a					:      Any    =       SkipList()

  skip_list.insert('Key1'     ,      1_2				)
  skip_list.insert('V'     ,      1_3				)
  skip_list.insert('X'     ,      1_4				)
  skip_list.insert('Key2'     ,      1_5				)

  skip_list.delete('V'				)
  assert skip_list.find('V'				) is None
  assert skip_list.find('X'				) == 1_4
  assert skip_list.find('Key1'				) == 1_2
  assert skip_list.find('Key2'				) == 1_5

  skip_list.delete('X'				)
  assert skip_list.find('V'				) is None
  assert skip_list.find('X'				) is None
  assert skip_list.find('Key1'				) == 1_2
  assert skip_list.find('Key2'				) == 1_5

  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'				) == 1_5

  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       snake_case  ():







  '''simple docstring'''

  a					:      Union[str, Any]    =       SkipList()

  skip_list.insert('Key1'     ,      1_2				)
  skip_list.insert('V'     ,      1_3				)
  skip_list.insert('X'     ,      1_4_2				)
  skip_list.insert('Key2'     ,      1_5				)

  skip_list.delete('X'				)

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

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




def       snake_case  ():







  '''simple docstring'''

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

  a					:      Any    =       SkipList()
  for i in range(1_0				):
    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(-1_2     ,      -1_2				)
  skip_list.insert(7_7     ,      7_7				)
  assert is_sorted(list(A_				)				)




def       snake_case  ():







  '''simple docstring'''

  for _ in range(1_0_0				):
    # 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       snake_case  ():







  '''simple docstring'''

  a					:      Union[str, 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(A_				)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   main()












"""simple docstring"""


from typing import TYPE_CHECKING

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


_UpperCamelCase    :   Optional[int]   			=						{
    'configuration_rag': ['RagConfig'],
    'retrieval_rag': ['RagRetriever'],
    'tokenization_rag': ['RagTokenizer'],
}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   _UpperCamelCase    :   Dict   			=						[
       'RagModel',
       'RagPreTrainedModel',
       'RagSequenceForGeneration',
       'RagTokenForGeneration',
   ]

try:
   if not is_tf_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   _UpperCamelCase    :   Optional[int]   			=						[
       'TFRagModel',
       'TFRagPreTrainedModel',
       'TFRagSequenceForGeneration',
       'TFRagTokenForGeneration',
   ]


if TYPE_CHECKING:
   from .configuration_rag import RagConfig
   from .retrieval_rag import RagRetriever
   from .tokenization_rag import RagTokenizer

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_rag import RagModel, RagPreTrainedModel, RagSequenceForGeneration, RagTokenForGeneration

   try:
      if not is_tf_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_tf_rag import (
          TFRagModel,
          TFRagPreTrainedModel,
          TFRagSequenceForGeneration,
          TFRagTokenForGeneration,
      )

else:
   import sys

   _UpperCamelCase    :   int   			=						_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)




