
"""simple docstring"""





from typing import Any, Dict, List, Optional, Tuple, Union

import torch
from torch import nn
from torch.utils.data import DistributedSampler, RandomSampler

from transformers import PreTrainedModel, Trainer, logging
from transformers.integrations import is_fairscale_available
from transformers.models.fsmt.configuration_fsmt import FSMTConfig
from transformers.optimization import (
    Adafactor,
    AdamW,
    get_constant_schedule,
    get_constant_schedule_with_warmup,
    get_cosine_schedule_with_warmup,
    get_cosine_with_hard_restarts_schedule_with_warmup,
    get_linear_schedule_with_warmup,
    get_polynomial_decay_schedule_with_warmup,
)
from transformers.trainer_pt_utils import get_tpu_sampler
from transformers.training_args import ParallelMode
from transformers.utils import is_torch_tpu_available


if is_fairscale_available():
							from fairscale.optim import OSS


__magic_name__       =			logging.get_logger(__name__)

__magic_name__       =			{
    "linear": get_linear_schedule_with_warmup,
    "cosine": get_cosine_schedule_with_warmup,
    "cosine_w_restarts": get_cosine_with_hard_restarts_schedule_with_warmup,
    "polynomial": get_polynomial_decay_schedule_with_warmup,
    "constant": get_constant_schedule,
    "constant_w_warmup": get_constant_schedule_with_warmup,
}
class 						SCREAMING_SNAKE_CASE_ (						__a ):




		"""simple docstring"""





		def __init__(     self							,  lowerCAmelCase__=None							,  lowerCAmelCase__=None							,  *lowerCAmelCase__							,  **lowerCAmelCase__):
				super().__init__(*lowerCAmelCase__							,  **lowerCAmelCase__)

				if config is None:
						assert isinstance(self.model							,  lowerCAmelCase__), (
						    "If no `config` is passed the model to be trained has to be of type `PreTrainedModel`, but is"
						    f" {self.model.__class__}"
						)
						__SCREAMING_SNAKE_CASE            = self.model.config
				else:
						__SCREAMING_SNAKE_CASE            = config

				__SCREAMING_SNAKE_CASE            = data_args
				__SCREAMING_SNAKE_CASE            = self.config.tgt_vocab_size if isinstance(self.config							,  lowerCAmelCase__) else self.config.vocab_size

				if self.args.label_smoothing != 0 or (self.data_args is not None and self.data_args.ignore_pad_token_for_loss):
						assert self.config.pad_token_id is not None, (
						    "Make sure that `config.pad_token_id` is correcly defined when ignoring `pad_token` for loss"
						    " calculation or doing label smoothing."
						)

				if self.config.pad_token_id is None and self.config.eos_token_id is not None:
						logger.warning(
						    f"The `config.pad_token_id` is `None`. Using `config.eos_token_id` = {self.config.eos_token_id} for"
						    """ padding..""")

				if self.args.label_smoothing == 0:
						__SCREAMING_SNAKE_CASE            = torch.nn.CrossEntropyLoss(ignore_index=self.config.pad_token_id)
				else:
						# dynamically import label_smoothed_nll_loss
						from utils import label_smoothed_nll_loss

						__SCREAMING_SNAKE_CASE            = label_smoothed_nll_loss




		def 	snake_case_     (     self							,  lowerCAmelCase__):
				if self.optimizer is None:
						__SCREAMING_SNAKE_CASE            = ["""bias""", """LayerNorm.weight"""]
						__SCREAMING_SNAKE_CASE            = [
						    {
						        """params""": [p for n, p in self.model.named_parameters() if not any(nd in n for nd in no_decay)],
						        """weight_decay""": self.args.weight_decay,
						    },
						    {
						        """params""": [p for n, p in self.model.named_parameters() if any(nd in n for nd in no_decay)],
						        """weight_decay""": 0.0,
						    },
						]
						__SCREAMING_SNAKE_CASE            = Adafactor if self.args.adafactor else AdamW
						if self.args.adafactor:
								__SCREAMING_SNAKE_CASE            = Adafactor
								__SCREAMING_SNAKE_CASE            = {"""scale_parameter""": False, """relative_step""": False}
						else:
								__SCREAMING_SNAKE_CASE            = AdamW
								__SCREAMING_SNAKE_CASE            = {
								    """betas""": (self.args.adam_betaa, self.args.adam_betaa),
								    """eps""": self.args.adam_epsilon,
								}
						__SCREAMING_SNAKE_CASE            = self.args.learning_rate
						if self.sharded_ddp:
								__SCREAMING_SNAKE_CASE            = OSS(
								    params=lowerCAmelCase__							,  optim=lowerCAmelCase__							,  **lowerCAmelCase__							,  )
						else:
								__SCREAMING_SNAKE_CASE            = optimizer_cls(lowerCAmelCase__							,  **lowerCAmelCase__)

				if self.lr_scheduler is None:
						__SCREAMING_SNAKE_CASE            = self._get_lr_scheduler(lowerCAmelCase__)
				else:  # ignoring --lr_scheduler
						logger.warning("""scheduler is passed to `Seq2SeqTrainer`, `--lr_scheduler` arg is ignored.""")




		def 	snake_case_     (     self							,  lowerCAmelCase__):
				__SCREAMING_SNAKE_CASE            = arg_to_scheduler[self.args.lr_scheduler]
				if self.args.lr_scheduler == "constant":
						__SCREAMING_SNAKE_CASE            = schedule_func(self.optimizer)
				elif self.args.lr_scheduler == "constant_w_warmup":
						__SCREAMING_SNAKE_CASE            = schedule_func(self.optimizer							,  num_warmup_steps=self.args.warmup_steps)
				else:
						__SCREAMING_SNAKE_CASE            = schedule_func(
						    self.optimizer							,  num_warmup_steps=self.args.warmup_steps							,  num_training_steps=lowerCAmelCase__)
				return scheduler




		def 	snake_case_     (     self):
				if isinstance(self.train_dataset							,  torch.utils.data.IterableDataset):
						return None
				elif is_torch_tpu_available():
						return get_tpu_sampler(self.train_dataset)
				else:
						if self.args.sortish_sampler:
								self.train_dataset.make_sortish_sampler(
								    self.args.per_device_train_batch_size							,  distributed=(self.args.parallel_mode == ParallelMode.DISTRIBUTED)							,  )

						return (
						    RandomSampler(self.train_dataset)
						    if self.args.local_rank == -1
						    else DistributedSampler(self.train_dataset)
						)




		def 	snake_case_     (     self							,  lowerCAmelCase__							,  lowerCAmelCase__							,  lowerCAmelCase__):
				if self.args.label_smoothing == 0:
						if self.data_args is not None and self.data_args.ignore_pad_token_for_loss:
								# force training to ignore pad token
								__SCREAMING_SNAKE_CASE            = model(**lowerCAmelCase__							,  use_cache=lowerCAmelCase__)[0]
								__SCREAMING_SNAKE_CASE            = self.loss_fn(logits.view(-1							,  logits.shape[-1])							,  labels.view(-1))
						else:
								# compute usual loss via models
								__SCREAMING_SNAKE_CASE       ,__SCREAMING_SNAKE_CASE            = model(**lowerCAmelCase__							,  labels=lowerCAmelCase__							,  use_cache=lowerCAmelCase__)[:2]
				else:
						# compute label smoothed loss
						__SCREAMING_SNAKE_CASE            = model(**lowerCAmelCase__							,  use_cache=lowerCAmelCase__)[0]
						__SCREAMING_SNAKE_CASE            = torch.nn.functional.log_softmax(lowerCAmelCase__							,  dim=-1)
						__SCREAMING_SNAKE_CASE       ,__SCREAMING_SNAKE_CASE            = self.loss_fn(lowerCAmelCase__							,  lowerCAmelCase__							,  self.args.label_smoothing							,  ignore_index=self.config.pad_token_id)
				return loss, logits




		def 	snake_case_     (     self							,  lowerCAmelCase__							,  lowerCAmelCase__):
				__SCREAMING_SNAKE_CASE            = inputs.pop("""labels""")
				__SCREAMING_SNAKE_CASE       ,__SCREAMING_SNAKE_CASE            = self._compute_loss(lowerCAmelCase__							,  lowerCAmelCase__							,  lowerCAmelCase__)
				return loss




		def 	snake_case_     (     self							,  lowerCAmelCase__							,  lowerCAmelCase__							,  lowerCAmelCase__							,  lowerCAmelCase__ = None							,  ):
				__SCREAMING_SNAKE_CASE            = self._prepare_inputs(lowerCAmelCase__)

				__SCREAMING_SNAKE_CASE            = {
				    """max_length""": self.data_args.val_max_target_length
				    if self.data_args is not None
				    else self.config.max_length,
				    """num_beams""": self.data_args.eval_beams if self.data_args is not None else self.config.num_beams,
				}

				if self.args.predict_with_generate and not self.args.prediction_loss_only:
						__SCREAMING_SNAKE_CASE            = self.model.generate(
						    inputs["""input_ids"""]							,  attention_mask=inputs["""attention_mask"""]							,  **lowerCAmelCase__							,  )
						# in case the batch is shorter than max length, the output should be padded
						if generated_tokens.shape[-1] < gen_kwargs["max_length"]:
								__SCREAMING_SNAKE_CASE            = self._pad_tensors_to_max_len(lowerCAmelCase__							,  gen_kwargs["""max_length"""])

				__SCREAMING_SNAKE_CASE            = inputs.pop("""labels""")
				with torch.no_grad():
						# compute loss on predict data
						__SCREAMING_SNAKE_CASE       ,__SCREAMING_SNAKE_CASE            = self._compute_loss(lowerCAmelCase__							,  lowerCAmelCase__							,  lowerCAmelCase__)

				__SCREAMING_SNAKE_CASE            = loss.mean().detach()
				if self.args.prediction_loss_only:
						return (loss, None, None)

				__SCREAMING_SNAKE_CASE            = generated_tokens if self.args.predict_with_generate else logits

				if labels.shape[-1] < gen_kwargs["max_length"]:
						__SCREAMING_SNAKE_CASE            = self._pad_tensors_to_max_len(lowerCAmelCase__							,  gen_kwargs["""max_length"""])

				return (loss, logits, labels)




		def 	snake_case_     (     self							,  lowerCAmelCase__							,  lowerCAmelCase__):
				# If PAD token is not defined at least EOS token has to be defined
				__SCREAMING_SNAKE_CASE            = self.config.pad_token_id if self.config.pad_token_id is not None else self.config.eos_token_id

				if pad_token_id is None:
						raise ValueError(
						    """Make sure that either `config.pad_token_id` or `config.eos_token_id` is defined if tensor has to be"""
						    f" padded to `max_length`={max_length}")

				__SCREAMING_SNAKE_CASE            = pad_token_id * torch.ones(
				    (tensor.shape[0], max_length)							,  dtype=tensor.dtype							,  device=tensor.device)
				__SCREAMING_SNAKE_CASE            = tensor
				return padded_tensor






"""simple docstring"""





from math import isqrt, loga



def 						_lowerCAmelCase				(				UpperCamelCase_				):
		__SCREAMING_SNAKE_CASE            = [True] * max_number
		for i in range(2  ,				isqrt(max_number - 1				) + 1				):
				if is_prime[i]:
						for j in range(i**2  ,				UpperCamelCase_  ,				UpperCamelCase_				):
								__SCREAMING_SNAKE_CASE            = False

		return [i for i in range(2  ,				UpperCamelCase_				) if is_prime[i]]



def 						_lowerCAmelCase				(				UpperCamelCase_ = 80_0800  ,				UpperCamelCase_ = 80_0800				):
		__SCREAMING_SNAKE_CASE            = degree * loga(UpperCamelCase_				)
		__SCREAMING_SNAKE_CASE            = int(UpperCamelCase_				)
		__SCREAMING_SNAKE_CASE            = calculate_prime_numbers(UpperCamelCase_				)

		__SCREAMING_SNAKE_CASE            = 0
		__SCREAMING_SNAKE_CASE            = 0
		__SCREAMING_SNAKE_CASE            = len(UpperCamelCase_				) - 1
		while left < right:
				while (
				    prime_numbers[right] * loga(prime_numbers[left]				)
				    + prime_numbers[left] * loga(prime_numbers[right]				)
				    > upper_bound
				):
						right -= 1
				hybrid_integers_count += right - left
				left += 1

		return hybrid_integers_count


if __name__ == "__main__":
							print(F"""{solution() = }""")




