



'''simple docstring'''


from __future__ import annotations

from random import random
from typing import Generic, TypeVar

_lowerCamelCase      :			Any       =      TypeVar("KT")
_lowerCamelCase      :			List[Any]       =      TypeVar("VT")

class 					SCREAMING_SNAKE_CASE					(    Generic[KT, VT]						):






    """simple docstring"""





    def __init__(    self :   Optional[Any]    ,		UpperCamelCase__ :   Dict = "root"    ,		UpperCamelCase__ :   Dict = None					):


       """simple docstring"""







       UpperCamelCase      							=    key
       UpperCamelCase      							=    value
       UpperCamelCase      							=    []






    def __repr__(    self :   int					):


       """simple docstring"""







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






    @property
    def 					A			(    self :   List[str]					):


       """simple docstring"""







       return len(self.forward					)

class 					SCREAMING_SNAKE_CASE					(    Generic[KT, VT]						):






    """simple docstring"""





    def __init__(    self :   str    ,		UpperCamelCase__ :   Tuple = 0.5    ,		UpperCamelCase__ :   Dict = 1_6					):


       """simple docstring"""







       UpperCamelCase      							=    Node[KT, VT]()
       UpperCamelCase      							=    0
       UpperCamelCase      							=    p
       UpperCamelCase      							=    max_level






    def __str__(    self :   Union[str, Any]					):


       """simple docstring"""







       UpperCamelCase      							=    list(self					)

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

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

       UpperCamelCase      							=    self.head
       UpperCamelCase      							=    []

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

       while len(node.forward					) != 0:
          UpperCamelCase      							=    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      							=    node.forward

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






    def __iter__(    self :   List[Any]					):


       """simple docstring"""







       UpperCamelCase      							=    self.head

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






    def 					A			(    self :   str					):


       """simple docstring"""







       UpperCamelCase      							=    1
       while random() < self.p and level < self.max_level:
          level += 1

       return level






    def 					A			(    self :   List[Any]    ,		UpperCamelCase__ :   Optional[int]					):


       """simple docstring"""







       UpperCamelCase      							=    []

       UpperCamelCase      							=    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      							=    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 :   int    ,		UpperCamelCase__ :   List[str]					):


       """simple docstring"""







       UpperCamelCase							, UpperCamelCase      							=    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      							=    node.forward[i]
                else:
                   UpperCamelCase      							=    update_node.forward[:i]






    def 					A			(    self :   Optional[int]    ,		UpperCamelCase__ :   Union[str, Any]    ,		UpperCamelCase__ :   Union[str, Any]					):


       """simple docstring"""







       UpperCamelCase							, UpperCamelCase      							=    self._locate_node(UpperCamelCase__					)
       if node is not None:
          UpperCamelCase      							=    value
       else:
          UpperCamelCase      							=    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      							=    level

          UpperCamelCase      							=    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      							=    new_node






    def 					A			(    self :   Any    ,		UpperCamelCase__ :   List[Any]					):


       """simple docstring"""







       UpperCamelCase							, UpperCamelCase      							=    self._locate_node(UpperCamelCase__					)

       if node is not None:
          return node.value

       return None







def 							__lowerCamelCase							(  )			->      Any:






   """simple docstring"""
   UpperCamelCase      							=    SkipList()
   skip_list.insert('Key1'       ,		3       )
   skip_list.insert('Key2'       ,		12       )
   skip_list.insert('Key3'       ,		41       )
   skip_list.insert('Key4'       ,		-19       )

   UpperCamelCase      							=    skip_list.head
   UpperCamelCase      							=    {}
   while node.level != 0:
      UpperCamelCase      							=    node.forward[0]
      UpperCamelCase      							=    node.value

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







def 							__lowerCamelCase							(  )			->      Optional[int]:






   """simple docstring"""
   UpperCamelCase      							=    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      							=    skip_list.head
   UpperCamelCase      							=    {}
   while node.level != 0:
      UpperCamelCase      							=    node.forward[0]
      UpperCamelCase      							=    node.value

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







def 							__lowerCamelCase							(  )			->      Union[str, Any]:






   """simple docstring"""
   UpperCamelCase      							=    SkipList()
   assert skip_list.find('Some key'       ) is None







def 							__lowerCamelCase							(  )			->      Optional[Any]:






   """simple docstring"""
   UpperCamelCase      							=    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[int]:






   """simple docstring"""
   UpperCamelCase      							=    SkipList()
   skip_list.delete('Some key'       )

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







def 							__lowerCamelCase							(  )			->      List[str]:






   """simple docstring"""
   UpperCamelCase      							=    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							(  )			->      int:






   """simple docstring"""
   UpperCamelCase      							=    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							(  )			->      str:






   """simple docstring"""
   UpperCamelCase      							=    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(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 							__lowerCamelCase							(  )			->      int:






   """simple docstring"""






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

   UpperCamelCase      							=    SkipList()
   for i in range(10       ):
      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(-12       ,		-12       )
   skip_list.insert(77       ,		77       )
   assert is_sorted(list(A__       )       )







def 							__lowerCamelCase							(  )			->      Union[str, Any]:






   """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							(  )			->      Tuple:






   """simple docstring"""
   UpperCamelCase      							=    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()



import unittest

import numpy as np
import torch

from diffusers import PNDMPipeline, PNDMScheduler, UNetaDModel
from diffusers.utils.testing_utils import enable_full_determinism, require_torch, slow, torch_device


enable_full_determinism()







class 							lowerCAmelCase__   ( unittest.TestCase						):

						@property
						def 			A_					(      self					)       ->   int:


								'''simple docstring'''

								torch.manual_seed(0					)
								_UpperCamelCase         =						UNetaDModel(
								    block_out_channels=(32, 64)							,				layers_per_block=2							,				sample_size=32							,				in_channels=3							,				out_channels=3							,				down_block_types=("""DownBlock2D""", """AttnDownBlock2D""")							,				up_block_types=("""AttnUpBlock2D""", """UpBlock2D""")							,				)
								return model







						def 			A_					(      self					)       ->   Any:


								'''simple docstring'''

								_UpperCamelCase         =						self.dummy_uncond_unet
								_UpperCamelCase         =						PNDMScheduler()

								_UpperCamelCase         =						PNDMPipeline(unet=a							,				scheduler=a					)
								pndm.to(a					)
								pndm.set_progress_bar_config(disable=a					)

								_UpperCamelCase         =						torch.manual_seed(0					)
								_UpperCamelCase         =						pndm(generator=a							,				num_inference_steps=20							,				output_type="""numpy"""					).images

								_UpperCamelCase         =						torch.manual_seed(0					)
								_UpperCamelCase         =						pndm(generator=a							,				num_inference_steps=20							,				output_type="""numpy"""							,				return_dict=a					)[0]

								_UpperCamelCase         =						image[0, -3:, -3:, -1]
								_UpperCamelCase         =						image_from_tuple[0, -3:, -3:, -1]

								assert image.shape == (1, 32, 32, 3)
								_UpperCamelCase         =						np.array([1.0, 1.0, 0.0, 1.0, 0.0, 1.0, 0.0, 0.0, 0.0]					)

								assert np.abs(image_slice.flatten() - expected_slice					).max() < 1e-2
								assert np.abs(image_from_tuple_slice.flatten() - expected_slice					).max() < 1e-2







@slow
@require_torch
class 							lowerCAmelCase__   ( unittest.TestCase						):

						def 			A_					(      self					)       ->   Optional[Any]:


								'''simple docstring'''

								_UpperCamelCase         =						"""google/ddpm-cifar10-32"""

								_UpperCamelCase         =						UNetaDModel.from_pretrained(a					)
								_UpperCamelCase         =						PNDMScheduler()

								_UpperCamelCase         =						PNDMPipeline(unet=a							,				scheduler=a					)
								pndm.to(a					)
								pndm.set_progress_bar_config(disable=a					)
								_UpperCamelCase         =						torch.manual_seed(0					)
								_UpperCamelCase         =						pndm(generator=a							,				output_type="""numpy"""					).images

								_UpperCamelCase         =						image[0, -3:, -3:, -1]

								assert image.shape == (1, 32, 32, 3)
								_UpperCamelCase         =						np.array([0.1564, 0.1_4645, 0.1406, 0.1_4715, 0.1_2425, 0.1_4045, 0.1_3115, 0.1_2175, 0.125]					)

								assert np.abs(image_slice.flatten() - expected_slice					).max() < 1e-2



