



import sys

snake_case__					:     Optional[int]    		=   (
    """73167176531330624919225119674426574742355349194934"""
    """96983520312774506326239578318016984801869478851843"""
    """85861560789112949495459501737958331952853208805511"""
    """12540698747158523863050715693290963295227443043557"""
    """66896648950445244523161731856403098711121722383113"""
    """62229893423380308135336276614282806444486645238749"""
    """30358907296290491560440772390713810515859307960866"""
    """70172427121883998797908792274921901699720888093776"""
    """65727333001053367881220235421809751254540594752243"""
    """52584907711670556013604839586446706324415722155397"""
    """53697817977846174064955149290862569321978468622482"""
    """83972241375657056057490261407972968652414535100474"""
    """82166370484403199890008895243450658541227588666881"""
    """16427171479924442928230863465674813919123162824586"""
    """17866458359124566529476545682848912883142607690042"""
    """24219022671055626321111109370544217506941658960408"""
    """07198403850962455444362981230987879927244284909188"""
    """84580156166097919133875499200524063689912560717606"""
    """05886116467109405077541002256983155200055935729725"""
    """71636269561882670428252483600823257530420752963450"""
)



def    snake_case_				(    _SCREAMING_SNAKE_CASE   ):
	__lowercase		       =			1
	for digit in s:
		product *= int(_SCREAMING_SNAKE_CASE   )
	return product



def    snake_case_				(    _SCREAMING_SNAKE_CASE = N   ):
	__lowercase		       =			-sys.maxsize - 1
	__lowercase		       =			n[:1_3]
	__lowercase		       =			1_3
	while cur_index < len(_SCREAMING_SNAKE_CASE   ) - 1_3:
		if int(n[cur_index]   ) >= int(substr[0]   ):
			__lowercase		       =			substr[1:] + n[cur_index]
			cur_index += 1
		else:
			__lowercase		       =			max(_SCREAMING_SNAKE_CASE  ,	str_eval(_SCREAMING_SNAKE_CASE   )   )
			__lowercase		       =			n[cur_index : cur_index + 1_3]
			cur_index += 1_3
	return largest_product


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








import tempfile

import numpy as np
import torch
from transformers import AutoTokenizer, TaEncoderModel

from diffusers import DDPMScheduler, UNetaDConditionModel
from diffusers.models.attention_processor import AttnAddedKVProcessor
from diffusers.pipelines.deepfloyd_if import IFWatermarker
from diffusers.utils.testing_utils import torch_device

from ..test_pipelines_common import to_np

class   _A   :


						'''simple docstring'''





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






							'''simple docstring'''



							torch.manual_seed(0	)
							__lowercase		       =			TaEncoderModel.from_pretrained("hf-internal-testing/tiny-random-t5"	)

							torch.manual_seed(0	)
							__lowercase		       =			AutoTokenizer.from_pretrained("hf-internal-testing/tiny-random-t5"	)

							torch.manual_seed(0	)
							__lowercase		       =			UNetaDConditionModel(
							    sample_size=32							,      layers_per_block=1							,      block_out_channels=[32, 64]							,      down_block_types=[
							        "ResnetDownsampleBlock2D",
							        "SimpleCrossAttnDownBlock2D",
							    ]							,      mid_block_type="UNetMidBlock2DSimpleCrossAttn"							,      up_block_types=["SimpleCrossAttnUpBlock2D", "ResnetUpsampleBlock2D"]							,      in_channels=3							,      out_channels=6							,      cross_attention_dim=32							,      encoder_hid_dim=32							,      attention_head_dim=8							,      addition_embed_type="text"							,      addition_embed_type_num_heads=2							,      cross_attention_norm="group_norm"							,      resnet_time_scale_shift="scale_shift"							,      act_fn="gelu"							,      )
							unet.set_attn_processor(AttnAddedKVProcessor()	)  # For reproducibility tests

							torch.manual_seed(0	)
							__lowercase		       =			DDPMScheduler(
							    num_train_timesteps=1_000							,      beta_schedule="squaredcos_cap_v2"							,      beta_start=0.0001							,      beta_end=0.02							,      thresholding=lowerCamelCase							,      dynamic_thresholding_ratio=0.95							,      sample_max_value=1.0							,      prediction_type="epsilon"							,      variance_type="learned_range"							,      )

							torch.manual_seed(0	)
							__lowercase		       =			IFWatermarker()

							return {
							    "text_encoder": text_encoder,
							    "tokenizer": tokenizer,
							    "unet": unet,
							    "scheduler": scheduler,
							    "watermarker": watermarker,
							    "safety_checker": None,
							    "feature_extractor": None,
							}



						def     _snake_case	(	self	:							Tuple	):






							'''simple docstring'''



							torch.manual_seed(0	)
							__lowercase		       =			TaEncoderModel.from_pretrained("hf-internal-testing/tiny-random-t5"	)

							torch.manual_seed(0	)
							__lowercase		       =			AutoTokenizer.from_pretrained("hf-internal-testing/tiny-random-t5"	)

							torch.manual_seed(0	)
							__lowercase		       =			UNetaDConditionModel(
							    sample_size=32							,      layers_per_block=[1, 2]							,      block_out_channels=[32, 64]							,      down_block_types=[
							        "ResnetDownsampleBlock2D",
							        "SimpleCrossAttnDownBlock2D",
							    ]							,      mid_block_type="UNetMidBlock2DSimpleCrossAttn"							,      up_block_types=["SimpleCrossAttnUpBlock2D", "ResnetUpsampleBlock2D"]							,      in_channels=6							,      out_channels=6							,      cross_attention_dim=32							,      encoder_hid_dim=32							,      attention_head_dim=8							,      addition_embed_type="text"							,      addition_embed_type_num_heads=2							,      cross_attention_norm="group_norm"							,      resnet_time_scale_shift="scale_shift"							,      act_fn="gelu"							,      class_embed_type="timestep"							,      mid_block_scale_factor=1.414							,      time_embedding_act_fn="gelu"							,      time_embedding_dim=32							,      )
							unet.set_attn_processor(AttnAddedKVProcessor()	)  # For reproducibility tests

							torch.manual_seed(0	)
							__lowercase		       =			DDPMScheduler(
							    num_train_timesteps=1_000							,      beta_schedule="squaredcos_cap_v2"							,      beta_start=0.0001							,      beta_end=0.02							,      thresholding=lowerCamelCase							,      dynamic_thresholding_ratio=0.95							,      sample_max_value=1.0							,      prediction_type="epsilon"							,      variance_type="learned_range"							,      )

							torch.manual_seed(0	)
							__lowercase		       =			DDPMScheduler(
							    num_train_timesteps=1_000							,      beta_schedule="squaredcos_cap_v2"							,      beta_start=0.0001							,      beta_end=0.02							,      )

							torch.manual_seed(0	)
							__lowercase		       =			IFWatermarker()

							return {
							    "text_encoder": text_encoder,
							    "tokenizer": tokenizer,
							    "unet": unet,
							    "scheduler": scheduler,
							    "image_noising_scheduler": image_noising_scheduler,
							    "watermarker": watermarker,
							    "safety_checker": None,
							    "feature_extractor": None,
							}



						def     _snake_case	(	self	:							str	):






							'''simple docstring'''



							__lowercase		       =			self.get_dummy_components()
							__lowercase		       =			self.pipeline_class(**lowerCamelCase	)
							pipe.to(lowerCamelCase	)
							pipe.set_progress_bar_config(disable=lowerCamelCase	)

							__lowercase		       =			self.get_dummy_inputs(lowerCamelCase	)

							__lowercase		       =			inputs["prompt"]
							__lowercase		       =			inputs["generator"]
							__lowercase		       =			inputs["num_inference_steps"]
							__lowercase		       =			inputs["output_type"]

							if "image" in inputs:
								__lowercase		       =			inputs["image"]
							else:
								__lowercase		       =			None

							if "mask_image" in inputs:
								__lowercase		       =			inputs["mask_image"]
							else:
								__lowercase		       =			None

							if "original_image" in inputs:
								__lowercase		       =			inputs["original_image"]
							else:
								__lowercase		       =			None

							__lowercase       ,    __lowercase		       =			pipe.encode_prompt(lowerCamelCase	)

							# inputs with prompt converted to embeddings
							__lowercase		       =			{
							    "prompt_embeds": prompt_embeds,
							    "negative_prompt_embeds": negative_prompt_embeds,
							    "generator": generator,
							    "num_inference_steps": num_inference_steps,
							    "output_type": output_type,
							}

							if image is not None:
								__lowercase		       =			image

							if mask_image is not None:
								__lowercase		       =			mask_image

							if original_image is not None:
								__lowercase		       =			original_image

							# set all optional components to None
							for optional_component in pipe._optional_components:
								setattr(lowerCamelCase							,      lowerCamelCase							,      lowerCamelCase	)

							__lowercase		       =			pipe(**lowerCamelCase	)[0]

							with tempfile.TemporaryDirectory() as tmpdir:
								pipe.save_pretrained(lowerCamelCase	)
								__lowercase		       =			self.pipeline_class.from_pretrained(lowerCamelCase	)
								pipe_loaded.to(lowerCamelCase	)
								pipe_loaded.set_progress_bar_config(disable=lowerCamelCase	)

							pipe_loaded.unet.set_attn_processor(AttnAddedKVProcessor()	)  # For reproducibility tests

							for optional_component in pipe._optional_components:
								self.assertTrue(
								    getattr(lowerCamelCase							,      lowerCamelCase	) is None							,      f"""`{optional_component}` did not stay set to None after loading."""							,      )

							__lowercase		       =			self.get_dummy_inputs(lowerCamelCase	)

							__lowercase		       =			inputs["generator"]
							__lowercase		       =			inputs["num_inference_steps"]
							__lowercase		       =			inputs["output_type"]

							# inputs with prompt converted to embeddings
							__lowercase		       =			{
							    "prompt_embeds": prompt_embeds,
							    "negative_prompt_embeds": negative_prompt_embeds,
							    "generator": generator,
							    "num_inference_steps": num_inference_steps,
							    "output_type": output_type,
							}

							if image is not None:
								__lowercase		       =			image

							if mask_image is not None:
								__lowercase		       =			mask_image

							if original_image is not None:
								__lowercase		       =			original_image

							__lowercase		       =			pipe_loaded(**lowerCamelCase	)[0]

							__lowercase		       =			np.abs(to_np(lowerCamelCase	) - to_np(lowerCamelCase	)	).max()
							self.assertLess(lowerCamelCase							,      1e-4	)



						def     _snake_case	(	self	:							Optional[Any]	):






							'''simple docstring'''



							__lowercase		       =			self.get_dummy_components()
							__lowercase		       =			self.pipeline_class(**lowerCamelCase	)
							pipe.to(lowerCamelCase	)
							pipe.set_progress_bar_config(disable=lowerCamelCase	)

							__lowercase		       =			self.get_dummy_inputs(lowerCamelCase	)
							__lowercase		       =			pipe(**lowerCamelCase	)[0]

							with tempfile.TemporaryDirectory() as tmpdir:
								pipe.save_pretrained(lowerCamelCase	)
								__lowercase		       =			self.pipeline_class.from_pretrained(lowerCamelCase	)
								pipe_loaded.to(lowerCamelCase	)
								pipe_loaded.set_progress_bar_config(disable=lowerCamelCase	)

							pipe_loaded.unet.set_attn_processor(AttnAddedKVProcessor()	)  # For reproducibility tests

							__lowercase		       =			self.get_dummy_inputs(lowerCamelCase	)
							__lowercase		       =			pipe_loaded(**lowerCamelCase	)[0]

							__lowercase		       =			np.abs(to_np(lowerCamelCase	) - to_np(lowerCamelCase	)	).max()
							self.assertLess(lowerCamelCase							,      1e-4	)



