


'''simple docstring'''







from __future__ import annotations

from random import random
from typing import Generic, TypeVar

lowerCAmelCase    :     Tuple					=						TypeVar("""KT""")
lowerCAmelCase    :     Dict					=						TypeVar("""VT""")
class 	UpperCamelCase__					( Generic[KT, VT]	):



     """simple docstring"""






     def __init__( self      ,	snake_case__ = "root"      ,	snake_case__ = None   ):

            '''simple docstring'''

            _lowerCAmelCase    :							Tuple   			=       key
            _lowerCAmelCase    :							Union[str, Any]   			=       value
            _lowerCAmelCase    :							list[Node[KT, VT]]   			=       []







     def __repr__( self   ):

            '''simple docstring'''

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







     @property
     def a	( self   ):

            '''simple docstring'''

            return len(self.forward   )
class 	UpperCamelCase__					( Generic[KT, VT]	):



     """simple docstring"""






     def __init__( self      ,	snake_case__ = 0.5      ,	snake_case__ = 16   ):

            '''simple docstring'''

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







     def __str__( self   ):

            '''simple docstring'''

            _lowerCAmelCase    :							List[Any]   			=       list(self   )

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

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

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

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

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

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

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







     def __iter__( self   ):

            '''simple docstring'''

            _lowerCAmelCase    :							Any   			=       self.head

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







     def a	( self   ):

            '''simple docstring'''

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

            return level







     def a	( self      ,	snake_case__   ):

            '''simple docstring'''

            _lowerCAmelCase    :							Union[str, Any]   			=       []

            _lowerCAmelCase    :							int   			=       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:
                          _lowerCAmelCase    :							int   			=       node.forward[i]
                   # Each leftmost node (relative to searched node) will potentially have to
                   # be updated.
                   update_vector.append(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 a	( self      ,	snake_case__   ):

            '''simple docstring'''

            _lowerCAmelCase			,     _lowerCAmelCase    :							str   			=       self._locate_node(snake_case__   )

            if node is not None:
                   for i, update_node in enumerate(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:
                                        _lowerCAmelCase    :							Optional[int]   			=       node.forward[i]
                                 else:
                                        _lowerCAmelCase    :							Optional[Any]   			=       update_node.forward[:i]







     def a	( self      ,	snake_case__      ,	snake_case__   ):

            '''simple docstring'''

            _lowerCAmelCase			,     _lowerCAmelCase    :							Optional[Any]   			=       self._locate_node(snake_case__   )
            if node is not None:
                   _lowerCAmelCase    :							Union[str, Any]   			=       value
            else:
                   _lowerCAmelCase    :							str   			=       self.random_level()

                   if level > self.level:
                          # After level increase we have to add additional nodes to head.
                          for _ in range(self.level - 1      ,	snake_case__   ):
                                 update_vector.append(self.head   )
                          _lowerCAmelCase    :							List[Any]   			=       level

                   _lowerCAmelCase    :							Optional[int]   			=       Node(snake_case__      ,	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(snake_case__   )
                          else:
                                 _lowerCAmelCase    :							Any   			=       new_node







     def a	( self      ,	snake_case__   ):

            '''simple docstring'''

            _lowerCAmelCase			,     _lowerCAmelCase    :							Union[str, Any]   			=       self._locate_node(snake_case__   )

            if node is not None:
                   return node.value

            return None






def 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							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					)

       _lowerCAmelCase    :							Any   			=       skip_list.head
       _lowerCAmelCase    :							List[str]   			=       {}
       while node.level != 0:
              _lowerCAmelCase    :							str   			=       node.forward[0]
              _lowerCAmelCase    :							str   			=       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 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							Union[str, 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					)

       _lowerCAmelCase    :							int   			=       skip_list.head
       _lowerCAmelCase    :							Tuple   			=       {}
       while node.level != 0:
              _lowerCAmelCase    :							int   			=       node.forward[0]
              _lowerCAmelCase    :							Tuple   			=       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 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							Tuple   			=       SkipList()
       assert skip_list.find('Some key'					) is None






def 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							int   			=       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 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							Optional[int]   			=       SkipList()
       skip_list.delete('Some key'					)

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






def 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							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'					)
       skip_list.delete('Key2'					)

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






def 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							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'					)
       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 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							Optional[int]   			=       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					):
              yield node.key
              for forward_node in node.forward:
                     yield from traverse_keys(_A					)

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






def 			lowercase				():







       """simple docstring"""







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

       _lowerCAmelCase    :							List[str]   			=       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 			lowercase				():







       """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 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							Optional[int]   			=       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'''







import unittest

from transformers import AutoTokenizer, is_flax_available
from transformers.testing_utils import require_flax, require_sentencepiece, require_tokenizers, slow


if is_flax_available():
       import jax.numpy as jnp

       from transformers import FlaxXLMRobertaModel
@require_sentencepiece
@require_tokenizers
@require_flax
class 	UpperCamelCase__					( unittest.TestCase	):



     """simple docstring"""






     @slow
     def a	( self   ):

            '''simple docstring'''

            _lowerCAmelCase    :							List[str]   			=       FlaxXLMRobertaModel.from_pretrained('xlm-roberta-base'   )
            _lowerCAmelCase    :							Optional[Any]   			=       AutoTokenizer.from_pretrained('xlm-roberta-base'   )
            _lowerCAmelCase    :							Dict   			=       'The dog is cute and lives in the garden house'
            _lowerCAmelCase    :							List[str]   			=       jnp.array([tokenizer.encode(snake_case__   )]   )

            _lowerCAmelCase    :							Optional[int]   			=       (1, 12, 768)  # batch_size, sequence_length, embedding_vector_dim
            _lowerCAmelCase    :							Tuple   			=       jnp.array(
                [[-0.0101, 0.1218, -0.0803, 0.0801, 0.1327, 0.0776, -0.1215, 0.2383, 0.3338, 0.3106, 0.0300, 0.0252]]   )

            _lowerCAmelCase    :							Union[str, Any]   			=       model(snake_case__   )['last_hidden_state']
            self.assertEqual(output.shape      ,	snake_case__   )
            # compare the actual values for a slice of last dim
            self.assertTrue(jnp.allclose(output[:, :, -1]      ,	snake_case__      ,	atol=1E-3   )   )

