



from __future__ import annotations

from random import random
from typing import Generic, TypeVar

UpperCAmelCase__     = TypeVar("KT")
UpperCAmelCase__     = TypeVar("VT")







class     __lowerCAmelCase					(    Generic[KT, VT]		):



			def __init__(		self     :						Optional[int]				,	A     :						KT | str = "root"				,	A     :						VT | None = None)     ->					str:



						"""simple docstring"""






						_UpperCAmelCase	 =     key
						_UpperCAmelCase	 =     value
						_UpperCAmelCase	 =     []



			def __repr__(		self     :						Optional[int])     ->					str:



						"""simple docstring"""






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



			@property
			def 					_lowerCamelCase (		self     :						str)     ->					int:



						"""simple docstring"""






						return len(self.forward)







class     __lowerCAmelCase					(    Generic[KT, VT]		):



			def __init__(		self     :						Dict				,	A     :						float = 0.5				,	A     :						int = 16)     ->					List[Any]:



						"""simple docstring"""






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



			def __str__(		self     :						Optional[Any])     ->					str:



						"""simple docstring"""






						_UpperCAmelCase	 =     list(self)

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

						_UpperCAmelCase	 =     max((len(str(A)) for item in items)				,	default=4)
						_UpperCAmelCase	 =     max(A				,	4) + 4

						_UpperCAmelCase	 =     self.head
						_UpperCAmelCase	 =     []

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

						while len(node.forward) != 0:
									_UpperCAmelCase	 =     node.forward[0]

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

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



			def __iter__(		self     :						List[Any])     ->					Optional[int]:



						"""simple docstring"""






						_UpperCAmelCase	 =     self.head

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



			def 					_lowerCamelCase (		self     :						str)     ->					int:



						"""simple docstring"""






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

						return level



			def 					_lowerCamelCase (		self     :						List[str]				,	A     :						str)     ->					tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:



						"""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(A)

						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     :						List[str]				,	A     :						KT)     ->					List[Any]:



						"""simple docstring"""






						_UpperCAmelCase ,  _UpperCAmelCase	 =     self._locate_node(A)

						if node is not None:
									for i, update_node in enumerate(A):
												# 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 					_lowerCamelCase (		self     :						List[Any]				,	A     :						KT				,	A     :						VT)     ->					int:



						"""simple docstring"""






						_UpperCAmelCase ,  _UpperCAmelCase	 =     self._locate_node(A)
						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				,	A):
															update_vector.append(self.head)
												_UpperCAmelCase	 =     level

									_UpperCAmelCase	 =     Node(A				,	A)

									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(A)
												else:
															_UpperCAmelCase	 =     new_node



			def 					_lowerCamelCase (		self     :						List[Any]				,	A     :						VT)     ->					VT | None:



						"""simple docstring"""






						_UpperCAmelCase ,  _UpperCAmelCase	 =     self._locate_node(A)

						if node is not None:
									return node.value

						return None





def 							A			(  )       ->				List[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(_UpperCAmelCase					) == 4
			assert all_values["Key1"] == 3
			assert all_values["Key2"] == 12
			assert all_values["Key3"] == 41
			assert all_values["Key4"] == -19





def 							A			(  )       ->				List[str]:







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





def 							A			(  )       ->				Dict:







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





def 							A			(  )       ->				List[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 							A			(  )       ->				int:







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

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





def 							A			(  )       ->				Dict:







			'''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 							A			(  )       ->				Tuple:







			'''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 							A			(  )       ->				int:







			'''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(_UpperCAmelCase       :     Optional[Any]					):
						yield node.key
						for forward_node in node.forward:
									yield from traverse_keys(_UpperCAmelCase					)

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





def 							A			(  )       ->				List[Any]:







			'''simple docstring'''
			def is_sorted(_UpperCAmelCase       :     Union[str, Any]					):
						return all(next_item >= item for item, next_item in zip(_UpperCAmelCase							,     lst[1:]					)					)

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





def 							A			(  )       ->				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 							A			(  )       ->				List[str]:







			'''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(_UpperCAmelCase					)


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			main()





import logging
from pathlib import Path

import numpy as np
import pytorch_lightning as pl
import torch
from pytorch_lightning.callbacks import EarlyStopping, ModelCheckpoint
from pytorch_lightning.utilities import rank_zero_only
from utils_rag import save_json





def 							A			(  _UpperCAmelCase       :     List[Any]					)       ->				int:







			'''simple docstring'''
			_UpperCAmelCase	 =     filter(lambda _UpperCAmelCase					: p.requires_grad							,     model.parameters()					)
			_UpperCAmelCase	 =     sum([np.prod(p.size()					) for p in model_parameters]					)
			return params


UpperCAmelCase__     = logging.getLogger(__name__)





def 							A			(  _UpperCAmelCase       :     List[Any]							,     _UpperCAmelCase       :     Union[str, Any]					)       ->				Any:







			'''simple docstring'''
			if metric == "rouge2":
						_UpperCAmelCase	 =     '{val_avg_rouge2:.4f}-{step_count}'
			elif metric == "bleu":
						_UpperCAmelCase	 =     '{val_avg_bleu:.4f}-{step_count}'
			elif metric == "em":
						_UpperCAmelCase	 =     '{val_avg_em:.4f}-{step_count}'
			elif metric == "loss":
						_UpperCAmelCase	 =     '{val_avg_loss:.4f}-{step_count}'
			else:
						raise NotImplementedError(
						    F"seq2seq callbacks only support rouge2 and bleu, got {metric}, You can make your own by adding to this"
						    ' function.'					)

			_UpperCAmelCase	 =     ModelCheckpoint(
			    dirpath=_UpperCAmelCase							,     filename=_UpperCAmelCase							,     monitor=F"val_{metric}"							,     mode='max'							,     save_top_k=1							,     every_n_epochs=1							,     )

			return checkpoint_callback





def 							A			(  _UpperCAmelCase       :     Any							,     _UpperCAmelCase       :     int					)       ->				str:







			'''simple docstring'''
			return EarlyStopping(
			    monitor=F"val_{metric}"							,     mode='min' if 'loss' in metric else 'max'							,     patience=_UpperCAmelCase							,     verbose=_UpperCAmelCase							,     )







class     __lowerCAmelCase					(    pl.Callback		):



			def 					_lowerCamelCase (		self     :						Optional[int]				,	A     :						List[Any]				,	A     :						int)     ->					Dict:



						"""simple docstring"""






						_UpperCAmelCase	 =     {F"lr_group_{i}": param['lr'] for i, param in enumerate(pl_module.trainer.optimizers[0].param_groups)}
						pl_module.logger.log_metrics(A)



			@rank_zero_only
			def 					_lowerCamelCase (		self     :						Optional[Any]				,	A     :						pl.Trainer				,	A     :						pl.LightningModule				,	A     :						str				,	A     :						int=True)     ->					None:



						"""simple docstring"""






						logger.info(F"***** {type_path} results at step {trainer.global_step:05d} *****")
						_UpperCAmelCase	 =     trainer.callback_metrics
						trainer.logger.log_metrics({k: v for k, v in metrics.items() if k not in ['log', 'progress_bar', 'preds']})
						# Log results
						_UpperCAmelCase	 =     Path(pl_module.hparams.output_dir)
						if type_path == "test":
									_UpperCAmelCase	 =     od / 'test_results.txt'
									_UpperCAmelCase	 =     od / 'test_generations.txt'
						else:
									# this never gets hit. I prefer not to save intermediate generations, and results are in metrics.json
									# If people want this it will be easy enough to add back.
									_UpperCAmelCase	 =     od / F"{type_path}_results/{trainer.global_step:05d}.txt"
									_UpperCAmelCase	 =     od / F"{type_path}_generations/{trainer.global_step:05d}.txt"
									results_file.parent.mkdir(exist_ok=A)
									generations_file.parent.mkdir(exist_ok=A)
						with open(A				,	'a+') as writer:
									for key in sorted(A):
												if key in ["log", "progress_bar", "preds"]:
															continue
												_UpperCAmelCase	 =     metrics[key]
												if isinstance(A				,	torch.Tensor):
															_UpperCAmelCase	 =     val.item()
												_UpperCAmelCase	 =     F"{key}: {val:.6f}\n"
												writer.write(A)

						if not save_generations:
									return

						if "preds" in metrics:
									_UpperCAmelCase	 =     '\n'.join(metrics['preds'])
									generations_file.open('w+').write(A)



			@rank_zero_only
			def 					_lowerCamelCase (		self     :						str				,	A     :						Optional[int]				,	A     :						List[str])     ->					Optional[Any]:



						"""simple docstring"""






						try:
									_UpperCAmelCase	 =     pl_module.model.model.num_parameters()
						except AttributeError:
									_UpperCAmelCase	 =     pl_module.model.num_parameters()

						_UpperCAmelCase	 =     count_trainable_parameters(A)
						# mp stands for million parameters
						trainer.logger.log_metrics({'n_params': npars, 'mp': npars / 1E6, 'grad_mp': n_trainable_pars / 1E6})



			@rank_zero_only
			def 					_lowerCamelCase (		self     :						Dict				,	A     :						pl.Trainer				,	A     :						pl.LightningModule)     ->					int:



						"""simple docstring"""






						save_json(pl_module.metrics				,	pl_module.metrics_save_path)
						return self._write_logs(A				,	A				,	'test')



			@rank_zero_only
			def 					_lowerCamelCase (		self     :						Tuple				,	A     :						pl.Trainer				,	A     :						str)     ->					Dict:



						"""simple docstring"""






						save_json(pl_module.metrics				,	pl_module.metrics_save_path)
						# Uncommenting this will save val generations
						# return self._write_logs(trainer, pl_module, "valid")
