

from __future__ import annotations

from random import random





class 					__UpperCAmelCase     :



   def __init__(							self							:     str,		__A							:     int | None = None						):
     UpperCAmelCase       :							int  = value
     UpperCAmelCase       :							Any  = random()
     UpperCAmelCase       :							Node | None  = None
     UpperCAmelCase       :							Node | None  = None



   def __repr__(							self							:     Tuple						):
     from pprint import pformat

     if self.left is None and self.right is None:
       return F'''\'{self.value}: {self.prior:.5}\''''
     else:
       return pformat(
           {F'''{self.value}: {self.prior:.5}''': (self.left, self.right)},		indent=1						)





   def __str__(							self							:     Dict						):
     UpperCAmelCase       :							Dict  = str(self.value						) + ''' '''
     UpperCAmelCase       :							Dict  = str(self.left or ''''''						)
     UpperCAmelCase       :							List[str]  = str(self.right or ''''''						)
     return value + left + right






def 			a__     (		UpperCAmelCase							:			Optional[Any]				, UpperCAmelCase							:			List[str]			)  ->						tuple[Node | None, Node | None]:
  if root is None:  # None tree is split into 2 Nones
    return None, None
  elif root.value is None:
    return None, None
  else:
    if value < root.value:
      UpperCAmelCase       :							Dict  = split(root.left				, __lowerCamelCase			)
      return left, root
    else:
      UpperCAmelCase       :							Optional[Any]  = split(root.right				, __lowerCamelCase			)
      return root, right

def 			a__     (		UpperCAmelCase							:			str				, UpperCAmelCase							:			str			)  ->						Node | None:
  if (not left) or (not right):  # If one node is None, return the other
    return left or right
  elif left.prior < right.prior:
    UpperCAmelCase       :							Optional[int]  = merge(left.right				, __lowerCamelCase			)
    return left
  else:
    UpperCAmelCase       :							str  = merge(__lowerCamelCase				, right.left			)
    return right

def 			a__     (		UpperCAmelCase							:			Any				, UpperCAmelCase							:			Dict			)  ->						Node | None:
  UpperCAmelCase       :							Union[str, Any]  = Node(__lowerCamelCase			)
  UpperCAmelCase       :							Optional[Any]  = split(__lowerCamelCase				, __lowerCamelCase			)
  return merge(merge(__lowerCamelCase				, __lowerCamelCase			)				, __lowerCamelCase			)

def 			a__     (		UpperCAmelCase							:			Optional[Any]				, UpperCAmelCase							:			Dict			)  ->						Node | None:
  UpperCAmelCase       :							List[str]  = split(__lowerCamelCase				, value - 1			)
  UpperCAmelCase       :							Tuple  = split(__lowerCamelCase				, __lowerCamelCase			)
  return merge(__lowerCamelCase				, __lowerCamelCase			)

def 			a__     (		UpperCAmelCase							:			Union[str, Any]			)  ->						None:
  if not root:  # None
    return
  else:
    inorder(root.left			)
    print(root.value				, end=''','''			)
    inorder(root.right			)

def 			a__     (		UpperCAmelCase							:			Union[str, Any]				, UpperCAmelCase							:			str			)  ->						Node | None:
  for arg in args.split():
    if arg[0] == "+":
      UpperCAmelCase       :							Any  = insert(__lowerCamelCase				, int(arg[1:]			)			)

    elif arg[0] == "-":
      UpperCAmelCase       :							List[Any]  = erase(__lowerCamelCase				, int(arg[1:]			)			)

    else:
      print('''Unknown command'''			)

  return root

def 			a__     (		)  ->						None:
  UpperCAmelCase       :							str  = None
  print(
      '''enter numbers to create a tree, + value to add value into treap, '''
      '''- value to erase all nodes with value. \'q\' to quit. '''			)

  UpperCAmelCase       :							Optional[Any]  = input()
  while args != "q":
    UpperCAmelCase       :							Union[str, Any]  = interact_treap(__lowerCamelCase				, __lowerCamelCase			)
    print(__lowerCamelCase			)
    UpperCAmelCase       :							Optional[Any]  = input()

  print('''good by!'''			)


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     main()










"""simple docstring"""







import os
from argparse import ArgumentParser
from typing import List

import torch.utils.data

from datasets import Dataset, IterableDataset
from datasets.distributed import split_dataset_by_node


lowerCAmelCase_   						=   4
lowerCAmelCase_   						=   3
class        __A       (	A_    ):







		'''simple docstring'''





		pass





def      __UpperCAmelCase      (    __lowerCamelCase	)							->      Dict:
		for shard in shards:
				for i in range(__lowerCamelCase	):
						yield {"i": i, "shard": shard}



def      __UpperCAmelCase      (    )							->      Tuple:
		lowercase__   :    int				=			int(os.environ['''RANK''']	)
		lowercase__   :    str				=			int(os.environ['''WORLD_SIZE''']	)

		lowercase__   :    List[Any]				=			ArgumentParser()
		parser.add_argument('''--streaming'''						,     type=__lowerCamelCase	)
		parser.add_argument('''--local_rank'''						,     type=__lowerCamelCase	)
		parser.add_argument('''--num_workers'''						,     type=__lowerCamelCase						,     default=0	)
		lowercase__   :    int				=			parser.parse_args()
		lowercase__   :    Optional[Any]				=			args.streaming
		lowercase__   :    List[Any]				=			args.num_workers

		lowercase__   :    Optional[Any]				=			{'''shards''': [f"""shard_{shard_idx}""" for shard_idx in range(__lowerCamelCase	)]}
		lowercase__   :    Dict				=			IterableDataset.from_generator(__lowerCamelCase						,     gen_kwargs=__lowerCamelCase	)
		if not streaming:
				lowercase__   :    int				=			Dataset.from_list(list(__lowerCamelCase	)	)

		lowercase__   :    int				=			split_dataset_by_node(__lowerCamelCase						,     rank=__lowerCamelCase						,     world_size=__lowerCamelCase	)
		lowercase__   :    Optional[Any]				=			torch.utils.data.DataLoader(__lowerCamelCase						,     num_workers=__lowerCamelCase	)

		lowercase__   :    Optional[Any]				=			NUM_SHARDS * NUM_ITEMS_PER_SHARD
		lowercase__   :    str				=			full_size // world_size
		expected_local_size += int(rank < (full_size % world_size)	)

		lowercase__   :    str				=			sum(1 for _ in dataloader	)
		if local_size != expected_local_size:
				raise FailedTestError(f"""local_size {local_size} != expected_local_size {expected_local_size}"""	)


if __name__ == "__main__":
							main()
