'''simple docstring'''





from __future__ import annotations

from random import random
from typing import Generic, TypeVar

UpperCAmelCase_			    =							TypeVar('''KT''')
UpperCAmelCase_			    =							TypeVar('''VT''')




class  __magic_name__  (		Generic[KT, VT]    ):





   """simple docstring"""




   def __init__(	self					:  List[str]		,  _lowercase					:  KT | str = "root"		,  _lowercase					:  VT | None = None							):



    """simple docstring"""



    _UpperCamelCase:     Any							= key
    _UpperCamelCase:     Optional[int]							= value
    _UpperCamelCase:     list[Node[KT, VT]]							= []



   def __repr__(	self					:  str							):



    """simple docstring"""



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



   @property
   def   lowerCAmelCase						(	self					:  Dict							):



    """simple docstring"""



    return len(self.forward							)




class  __magic_name__  (		Generic[KT, VT]    ):





   """simple docstring"""




   def __init__(	self					:  int		,  _lowercase					:  float = 0.5		,  _lowercase					:  int = 16							):



    """simple docstring"""



    _UpperCamelCase:     Node[KT, VT]							= Node[KT, VT]()
    _UpperCamelCase:     Any							= 0
    _UpperCamelCase:     List[str]							= p
    _UpperCamelCase:     List[str]							= max_level



   def __str__(	self					:  List[str]							):



    """simple docstring"""



    _UpperCamelCase:     int							= list(self							)

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

    _UpperCamelCase:     Optional[Any]							= max((len(str(UpperCAmelCase_							)							) for item in items)		,  default=4							)
    _UpperCamelCase:     int							= max(UpperCAmelCase_		,  4							) + 4

    _UpperCamelCase:     Any							= self.head
    _UpperCamelCase:     Union[str, Any]							= []

    _UpperCamelCase:     Dict							= node.forward.copy()
    lines.append(f"""[{node.key}]""".ljust(UpperCAmelCase_		,  '''-'''							) + '''* ''' * len(UpperCAmelCase_							)							)
    lines.append(''' ''' * label_size + '''| ''' * len(UpperCAmelCase_							)							)

    while len(node.forward							) != 0:
     _UpperCamelCase:     str							= 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_							)							)
     _UpperCamelCase:     Tuple							= node.forward

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



   def __iter__(	self					:  Dict							):



    """simple docstring"""



    _UpperCamelCase:     Optional[Any]							= self.head

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



   def   lowerCAmelCase						(	self					:  Any							):



    """simple docstring"""



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

    return level



   def   lowerCAmelCase						(	self					:  Tuple		,  _lowercase					:  str							):



    """simple docstring"""



    _UpperCamelCase:     Dict							= []

    _UpperCamelCase:     List[str]							= 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:     Dict							= 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   lowerCAmelCase						(	self					:  str		,  _lowercase					:  KT							):



    """simple docstring"""



    _UpperCamelCase:     Optional[Any]							= 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:
        _UpperCamelCase:     int							= node.forward[i]
       else:
        _UpperCamelCase:     Any							= update_node.forward[:i]



   def   lowerCAmelCase						(	self					:  Union[str, Any]		,  _lowercase					:  KT		,  _lowercase					:  VT							):



    """simple docstring"""



    _UpperCamelCase:     Optional[Any]							= self._locate_node(UpperCAmelCase_							)
    if node is not None:
     _UpperCamelCase:     Optional[int]							= value
    else:
     _UpperCamelCase:     Tuple							= 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							)
      _UpperCamelCase:     Union[str, Any]							= level

     _UpperCamelCase:     List[str]							= 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:
       _UpperCamelCase:     Tuple							= new_node



   def   lowerCAmelCase						(	self					:  Union[str, Any]		,  _lowercase					:  VT							):



    """simple docstring"""



    _UpperCamelCase:     Optional[Any]							= self._locate_node(UpperCAmelCase_							)

    if node is not None:
     return node.value

    return None




def       lowerCAmelCase_     (		)    ->				int:







 '''simple docstring'''
 _UpperCamelCase:     Optional[Any]							= SkipList()
 skip_list.insert('''Key1'''  ,					3		)
 skip_list.insert('''Key2'''  ,					12		)
 skip_list.insert('''Key3'''  ,					41		)
 skip_list.insert('''Key4'''  ,					-19		)

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

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




def       lowerCAmelCase_     (		)    ->				List[Any]:







 '''simple docstring'''
 _UpperCamelCase:     Optional[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		)

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

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




def       lowerCAmelCase_     (		)    ->				Optional[int]:







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




def       lowerCAmelCase_     (		)    ->				List[str]:







 '''simple docstring'''
 _UpperCamelCase:     str							= 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       lowerCAmelCase_     (		)    ->				Optional[Any]:







 '''simple docstring'''
 _UpperCamelCase:     List[str]							= SkipList()
 skip_list.delete('''Some key'''		)

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




def       lowerCAmelCase_     (		)    ->				Optional[int]:







 '''simple docstring'''
 _UpperCamelCase:     Tuple							= 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       lowerCAmelCase_     (		)    ->				str:







 '''simple docstring'''
 _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       lowerCAmelCase_     (		)    ->				Any:







 '''simple docstring'''
 _UpperCamelCase:     Optional[Any]							= 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(lowercase:							List[str]		):
  yield node.key
  for forward_node in node.forward:
   yield from traverse_keys(lowerCamelCase_		)

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




def       lowerCAmelCase_     (		)    ->				List[str]:







 '''simple docstring'''
 def is_sorted(lowercase:							Optional[Any]		):
  return all(next_item >= item for item, next_item in zip(lowerCamelCase_  ,					lst[1:]		)		)

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




def       lowerCAmelCase_     (		)    ->				Optional[int]:







 '''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       lowerCAmelCase_     (		)    ->				Any:







 '''simple docstring'''
 _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(lowerCamelCase_		)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()
import pytest

from datasets.splits import SplitDict, SplitInfo
from datasets.utils.py_utils import asdict




@pytest.mark.parametrize(
    '''split_dict'''  ,					[
        SplitDict(),
        SplitDict({'''train''': SplitInfo(name='''train'''  ,					num_bytes=1_337  ,					num_examples=42  ,					dataset_name='''my_dataset'''		)}		),
        SplitDict({'''train''': SplitInfo(name='''train'''  ,					num_bytes=1_337  ,					num_examples=42		)}		),
        SplitDict({'''train''': SplitInfo()}		),
    ]  ,					)
def       lowerCAmelCase_     (		lowercase:							SplitDict		)    ->				List[str]:







 '''simple docstring'''
 _UpperCamelCase:     List[str]							= split_dict._to_yaml_list()
 assert len(lowercase		) == len(lowercase		)
 _UpperCamelCase:     Tuple							= SplitDict._from_yaml_list(lowercase		)
 for split_name, split_info in split_dict.items():
  # dataset_name field is deprecated, and is therefore not part of the YAML dump
  _UpperCamelCase:     Optional[Any]							= None
  # the split name of split_dict takes over the name of the split info object
  _UpperCamelCase:     Any							= split_name
 assert split_dict == reloaded





@pytest.mark.parametrize(
    '''split_info'''  ,					[SplitInfo(), SplitInfo(dataset_name=lowercase		), SplitInfo(dataset_name='''my_dataset'''		)]		)
def       lowerCAmelCase_     (		lowercase:							str		)    ->				Tuple:







 '''simple docstring'''
 # For backward compatibility, we need asdict(split_dict) to return split info dictrionaries with the "dataset_name"
 # field even if it's deprecated. This way old versionso of `datasets` can still reload dataset_infos.json files
 _UpperCamelCase:     Optional[Any]							= asdict(SplitDict({'''train''': split_info}		)		)
 assert "dataset_name" in split_dict_asdict["train"]
 assert split_dict_asdict["train"]["dataset_name"] == split_info.dataset_name