from typing import Optional

from torch import nn

from .transformer_ad import TransformeraDModel, TransformeraDModelOutput



class   lowercase_       (	nn.Module						):



							def __init__(		self ,							lowercase_ = 16 ,							lowercase_ = 88 ,							lowercase_ = None ,							lowercase_ = 1 ,							lowercase_ = 0.0 ,							lowercase_ = 32 ,							lowercase_ = None ,							lowercase_ = False ,							lowercase_ = None ,							lowercase_ = None ,							lowercase_ = "geglu" ,							lowercase_ = None ,							):
													super().__init__()
													_snake_case		:	Optional[Any]							=       nn.ModuleList(
													    [
													        TransformeraDModel(
													            num_attention_heads=lowerCAmelCase_ ,							attention_head_dim=lowerCAmelCase_ ,							in_channels=lowerCAmelCase_ ,							num_layers=lowerCAmelCase_ ,							dropout=lowerCAmelCase_ ,							norm_num_groups=lowerCAmelCase_ ,							cross_attention_dim=lowerCAmelCase_ ,							attention_bias=lowerCAmelCase_ ,							sample_size=lowerCAmelCase_ ,							num_vector_embeds=lowerCAmelCase_ ,							activation_fn=lowerCAmelCase_ ,							num_embeds_ada_norm=lowerCAmelCase_ ,							)
													        for _ in range(2							)
													    ]							)

													# Variables that can be set by a pipeline:

													# The ratio of transformer1 to transformer2's output states to be combined during inference
													_snake_case		:	Union[str, Any]							=       0.5

													# The shape of `encoder_hidden_states` is expected to be
													# `(batch_size, condition_lengths[0]+condition_lengths[1], num_features)`
													_snake_case		:	List[str]							=       [77, 257]

													# Which transformer to use to encode which condition.
													# E.g. `(1, 0)` means that we'll use `transformers[1](conditions[0])` and `transformers[0](conditions[1])`
													_snake_case		:	Tuple							=       [1, 0]



							def 			UpperCamelCase			(		self ,							lowercase_ ,							lowercase_ ,							lowercase_=None ,							lowercase_=None ,							lowercase_=None ,							lowercase_ = True ,							):
													_snake_case		:	Dict							=       hidden_states

													_snake_case		:	Optional[Any]							=       []
													_snake_case		:	Dict							=       0
													# attention_mask is not used yet
													for i in range(2							):
																			# for each of the two transformers, pass the corresponding condition tokens
																			_snake_case		:	List[Any]							=       encoder_hidden_states[:, tokens_start : tokens_start + self.condition_lengths[i]]
																			_snake_case		:	int							=       self.transformer_index_for_condition[i]
																			_snake_case		:	Union[str, Any]							=       self.transformers[transformer_index](
																			    lowerCAmelCase_ ,							encoder_hidden_states=lowerCAmelCase_ ,							timestep=lowerCAmelCase_ ,							cross_attention_kwargs=lowerCAmelCase_ ,							return_dict=lowerCAmelCase_ ,							)[0]
																			encoded_states.append(encoded_state - input_states							)
																			tokens_start += self.condition_lengths[i]

													_snake_case		:	str							=       encoded_states[0] * self.mix_ratio + encoded_states[1] * (1 - self.mix_ratio)
													_snake_case		:	str							=       output_states + input_states

													if not return_dict:
																			return (output_states,)

													return TransformeraDModelOutput(sample=lowerCAmelCase_							)







"""simple docstring"""
from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt

def 							snake_case (  A__		):
			UpperCAmelCase_	:					int     	=   int(number**0.5		)
			return number == sq * sq

def 							snake_case (  A__      ,A__      ,A__      ,A__      ,A__      ,A__		):
			UpperCAmelCase_	:					int     	=   x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
			UpperCAmelCase_	:					int     	=   x_den * y_den * z_den
			UpperCAmelCase_	:					int     	=   gcd(A__      ,A__		)
			top //= hcf
			bottom //= hcf
			return top, bottom

def 							snake_case (  A__ = 35		):
			UpperCAmelCase_	:					set     	=   set()
			UpperCAmelCase_	:					int
			UpperCAmelCase_	:					Fraction     	=   Fraction(0		)
			UpperCAmelCase_	:					tuple[int, int]

			for x_num in range(1      ,order + 1		):
						for x_den in range(x_num + 1      ,order + 1		):
									for y_num in range(1      ,order + 1		):
												for y_den in range(y_num + 1      ,order + 1		):
															# n=1
															UpperCAmelCase_	:					Optional[int]     	=   x_num * y_den + x_den * y_num
															UpperCAmelCase_	:					List[Any]     	=   x_den * y_den
															UpperCAmelCase_	:					Tuple     	=   gcd(A__      ,A__		)
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		UpperCAmelCase_	:					int     	=   add_three(
																		    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																		unique_s.add(A__		)

															# n=2
															UpperCAmelCase_	:					Optional[Any]     	=   (
															    x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
															)
															UpperCAmelCase_	:					Dict     	=   x_den * x_den * y_den * y_den
															if is_sq(A__		) and is_sq(A__		):
																		UpperCAmelCase_	:					int     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					Any     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					str     	=   gcd(A__      ,A__		)
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					UpperCAmelCase_	:					Tuple     	=   add_three(
																					    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																					unique_s.add(A__		)

                    # n=-1
															UpperCAmelCase_	:					Optional[int]     	=   x_num * y_num
															UpperCAmelCase_	:					Dict     	=   x_den * y_num + x_num * y_den
															UpperCAmelCase_	:					Union[str, Any]     	=   gcd(A__      ,A__		)
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		UpperCAmelCase_	:					List[Any]     	=   add_three(
																		    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																		unique_s.add(A__		)

															# n=2
															UpperCAmelCase_	:					Optional[Any]     	=   x_num * x_num * y_num * y_num
															UpperCAmelCase_	:					Dict     	=   (
															    x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
															)
															if is_sq(A__		) and is_sq(A__		):
																		UpperCAmelCase_	:					str     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					int     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					Optional[Any]     	=   gcd(A__      ,A__		)
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					UpperCAmelCase_	:					Optional[int]     	=   add_three(
																					    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																					unique_s.add(A__		)

			for num, den in unique_s:
						total += Fraction(A__      ,A__		)

			return total.denominator + total.numerator


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



