






import torch
import torch.nn as nn
from transformers.modeling_utils import ModuleUtilsMixin
from transformers.models.ta.modeling_ta import (
    TaBlock,
    TaConfig,
    TaLayerNorm,
)

from ...configuration_utils import ConfigMixin, register_to_config
from ...models import ModelMixin





class __lowerCamelCase				(   snake_case__  , snake_case__  , snake_case__):





	"""simple docstring"""






	@register_to_config
	def __init__(							self ,					UpperCAmelCase ,					UpperCAmelCase ,					UpperCAmelCase ,					UpperCAmelCase ,					UpperCAmelCase ,					UpperCAmelCase ,					UpperCAmelCase ,					UpperCAmelCase ,					UpperCAmelCase ,					UpperCAmelCase = False ,					):
							"""simple docstring"""







							super().__init__()

							_UpperCAmelCase             =    nn.Linear(UpperCAmelCase ,					UpperCAmelCase ,					bias=UpperCAmelCase					)

							_UpperCAmelCase             =    nn.Embedding(UpperCAmelCase ,					UpperCAmelCase					)
							_UpperCAmelCase             =    False

							_UpperCAmelCase             =    nn.Dropout(p=UpperCAmelCase					)

							_UpperCAmelCase             =    TaConfig(
							    d_model=UpperCAmelCase ,					num_heads=UpperCAmelCase ,					d_kv=UpperCAmelCase ,					d_ff=UpperCAmelCase ,					feed_forward_proj=UpperCAmelCase ,					dropout_rate=UpperCAmelCase ,					is_decoder=UpperCAmelCase ,					is_encoder_decoder=UpperCAmelCase ,					)
							_UpperCAmelCase             =    nn.ModuleList()
							for lyr_num in range(UpperCAmelCase					):
													_UpperCAmelCase             =    TaBlock(UpperCAmelCase					)
													self.encoders.append(UpperCAmelCase					)

							_UpperCAmelCase             =    TaLayerNorm(UpperCAmelCase					)
							_UpperCAmelCase             =    nn.Dropout(p=UpperCAmelCase					)

	def  UpperCamelCase					(							self ,					UpperCAmelCase ,					UpperCAmelCase					):
							"""simple docstring"""







							_UpperCAmelCase             =    self.input_proj(UpperCAmelCase					)

							# terminal relative positional encodings
							_UpperCAmelCase             =    encoder_inputs.shape[1]
							_UpperCAmelCase             =    torch.arange(UpperCAmelCase ,					device=encoder_inputs.device					)

							_UpperCAmelCase             =    encoder_inputs_mask.sum(-1					)
							_UpperCAmelCase             =    torch.roll(input_positions.unsqueeze(0					) ,					tuple(seq_lens.tolist()					) ,					dims=0					)
							x += self.position_encoding(UpperCAmelCase					)

							_UpperCAmelCase             =    self.dropout_pre(UpperCAmelCase					)

							# inverted the attention mask
							_UpperCAmelCase             =    encoder_inputs.size()
							_UpperCAmelCase             =    self.get_extended_attention_mask(UpperCAmelCase ,					UpperCAmelCase					)

							for lyr in self.encoders:
													_UpperCAmelCase             =    lyr(UpperCAmelCase ,					UpperCAmelCase					)[0]
							_UpperCAmelCase             =    self.layer_norm(UpperCAmelCase					)

							return self.dropout_post(UpperCAmelCase					), encoder_inputs_mask








from itertools import combinations_with_replacement


def __A					(   __lowerCAmelCase = 100			)->						int:





						"""simple docstring"""



						_UpperCAmelCase             =    [*list(range(1				,	21			)			), 25]
						_UpperCAmelCase             =    [2 * x for x in range(1				,	21			)] + [50]
						_UpperCAmelCase             =    [3 * x for x in range(1				,	21			)]
						_UpperCAmelCase             =    singles + doubles + triples + [0]

						_UpperCAmelCase             =    0
						_UpperCAmelCase             =    42
						_UpperCAmelCase             =    42
						_UpperCAmelCase             =    42
						_UpperCAmelCase             =    42

						for double in doubles:
												for throwa, throwa in combinations_with_replacement(__lowerCAmelCase				,	2			):
																		_UpperCAmelCase             =    double + throwa + throwa
																		if checkout_total < limit:
																								num_checkouts += 1

						return num_checkouts


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