"""simple docstring"""



from __future__ import annotations

from random import random
from typing import Generic, TypeVar

SCREAMING_SNAKE_CASE__:Any			=	TypeVar("""KT""")
SCREAMING_SNAKE_CASE__:str			=	TypeVar("""VT""")






class 				snake_case__     (   Generic[KT, VT]   ):


 def __init__(				self  ,						lowerCamelCase = "root"  ,						lowerCamelCase = None		):
        __a     				=  key
        __a     				=  value
        __a     				=  []


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






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






class 				snake_case__     (   Generic[KT, VT]   ):


 def __init__(				self  ,						lowerCamelCase = 0.5  ,						lowerCamelCase = 16		):
        __a     				=  Node[KT, VT]()
        __a     				=  0
        __a     				=  p
        __a     				=  max_level


 def __str__(				self		):
        __a     				=  list(self		)

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

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

        __a     				=  self.head
        __a     				=  []

        __a     				=  node.forward.copy()
        lines.append(F"[{node.key}]".ljust(UpperCamelCase__  ,						"-"		) + "* " * len(UpperCamelCase__		)		)
        lines.append(" " * label_size + "| " * len(UpperCamelCase__		)		)

        while len(node.forward		) != 0:
               __a     				=  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__		)		)
               __a     				=  node.forward

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


 def __iter__(				self		):
        __a     				=  self.head

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


 def 		a__ (				self		):
        __a     				=  1
        while random() < self.p and level < self.max_level:
               level += 1

        return level


 def 		a__ (				self  ,						lowerCamelCase		):
        __a     				=  []

        __a     				=  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     				=  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 		a__ (				self  ,						lowerCamelCase		):
        __a     				=  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:
                                    __a     				=  node.forward[i]
                             else:
                                    __a     				=  update_node.forward[:i]


 def 		a__ (				self  ,						lowerCamelCase  ,						lowerCamelCase		):
        __a     				=  self._locate_node(UpperCamelCase__		)
        if node is not None:
               __a     				=  value
        else:
               __a     				=  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		)
                      __a     				=  level

               __a     				=  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:
                             __a     				=  new_node






 def 		a__ (				self  ,						lowerCamelCase		):
        __a     				=  self._locate_node(UpperCamelCase__		)

        if node is not None:
               return node.value

        return None



def 					_lowerCamelCase(					):
       __a     				=  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     				=  skip_list.head
       __a     				=  {}
       while node.level != 0:
              __a     				=  node.forward[0]
              __a     				=  node.value

       assert len(SCREAMING_SNAKE_CASE__							) == 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 					_lowerCamelCase(					):
       __a     				=  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     				=  skip_list.head
       __a     				=  {}
       while node.level != 0:
              __a     				=  node.forward[0]
              __a     				=  node.value

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



def 					_lowerCamelCase(					):
       __a     				=  SkipList()
       assert skip_list.find("Some key"							) is None



def 					_lowerCamelCase(					):
       __a     				=  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 					_lowerCamelCase(					):
       __a     				=  SkipList()
       skip_list.delete("Some key"							)

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



def 					_lowerCamelCase(					):
       __a     				=  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 					_lowerCamelCase(					):
       __a     				=  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 					_lowerCamelCase(					):
       __a     				=  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(SCREAMING_SNAKE_CASE__							)

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



def 					_lowerCamelCase(					):


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

       __a     				=  SkipList()
       for i in range(1_0							):
              skip_list.insert(SCREAMING_SNAKE_CASE__ ,  SCREAMING_SNAKE_CASE__							)
       assert is_sorted(list(SCREAMING_SNAKE_CASE__							)							)
       skip_list.delete(5							)
       skip_list.delete(8							)
       skip_list.delete(2							)
       assert is_sorted(list(SCREAMING_SNAKE_CASE__							)							)
       skip_list.insert(-1_2 ,  -1_2							)
       skip_list.insert(7_7 ,  7_7							)
       assert is_sorted(list(SCREAMING_SNAKE_CASE__							)							)



def 					_lowerCamelCase(					):


       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 					_lowerCamelCase(					):
       __a     				=  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(SCREAMING_SNAKE_CASE__							)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   main()

"""simple docstring"""



import contextlib
from multiprocessing import Pool, RLock

from tqdm.auto import tqdm

from ..utils import experimental, logging


SCREAMING_SNAKE_CASE__:Union[str, Any]			=	logging.get_logger(__name__)






class 				snake_case__     :
 _snake_case   :			List[str]           =		None



@experimental
def 					_lowerCamelCase(					a ,  a ,  a ,  a ,  a ,  a ,  a							):
       if ParallelBackendConfig.backend_name is None:
              return _map_with_multiprocessing_pool(
                  a ,  a ,  a ,  a ,  a ,  a ,  a							)

       return _map_with_joblib(a ,  a ,  a ,  a ,  a ,  a ,  a							)



def 					_lowerCamelCase(					a ,  a ,  a ,  a ,  a ,  a ,  a							):
       __a     				=  num_proc if num_proc <= len(a							) else len(a							)
       __a     				=  []  # We organize the splits ourselve (contiguous splits)
       for index in range(a							):
              __a     				=  len(a							) // num_proc
              __a     				=  len(a							) % num_proc
              __a     				=  div * index + min(a ,  a							)
              __a     				=  start + div + (1 if index < mod else 0)
              split_kwds.append((function, iterable[start:end], types, index, disable_tqdm, desc)							)

       if len(a							) != sum(len(i[1]							) for i in split_kwds							):
              raise ValueError(
                  F"Error dividing inputs iterable among processes. "
                  F"Total number of objects {len(a							)}, "
                  F"length: {sum(len(i[1]							) for i in split_kwds							)}"							)

       logger.info(
           F"Spawning {num_proc} processes for {len(a							)} objects in slices of {[len(i[1]							) for i in split_kwds]}"							)
       __a				, __a     				=  None, None
       if not disable_tqdm:
              __a				, __a     				=  (RLock(),), tqdm.set_lock
       with Pool(a ,  initargs=a ,  initializer=a							) as pool:
              __a     				=  pool.map(a ,  a							)
       logger.info(F"Finished {num_proc} processes"							)
       __a     				=  [obj for proc_res in mapped for obj in proc_res]
       logger.info(F"Unpacked {len(a							)} objects"							)

       return mapped



def 					_lowerCamelCase(					a ,  a ,  a ,  a ,  a ,  a ,  a							):
       # progress bar is not yet supported for _map_with_joblib, because tqdm couldn't accurately be applied to joblib,
       # and it requires monkey-patching joblib internal classes which is subject to change
       import joblib

       with joblib.parallel_backend(ParallelBackendConfig.backend_name ,  n_jobs=a							):
              return joblib.Parallel()(
                  joblib.delayed(a							)((function, obj, types, None, True, None)							) for obj in iterable							)




@experimental
@contextlib.contextmanager
def 					_lowerCamelCase(					a							):
       __a     				=  backend_name

       if backend_name == "spark":
              from joblibspark import register_spark

              register_spark()

              # TODO: call create_cache_and_write_probe if "download" in steps
              # TODO: raise NotImplementedError when Dataset.map etc is called

       try:
              yield
       finally:
              __a     				=  None
