




'''simple docstring'''






from __future__ import annotations

def      __lowerCAmelCase   (       snake_case__		):
			__UpperCamelCase :     Optional[int]										=  [0] * max_one

			for i in range(0   , snake_case__		):
						__UpperCamelCase :     List[str]										=  i

			for i in range(2   , snake_case__		):
						if totients[i] == i:
									for j in range(snake_case__   , snake_case__   , snake_case__		):
												totients[j] -= totients[j] // i

			return totients

def      __lowerCAmelCase   (       snake_case__   , snake_case__		):
			return sorted(str(snake_case__		)		) == sorted(str(snake_case__		)		)

def      __lowerCAmelCase   (       snake_case__ = 10_000_000		):
			__UpperCamelCase :     Optional[int]										=  1  # i
			__UpperCamelCase :     Union[str, Any]										=  0  # φ(i)
			__UpperCamelCase :     int										=  get_totients(max_n + 1		)

			for i in range(2   , max_n + 1		):
						__UpperCamelCase :     Any										=  totients[i]

						if i * min_denominator < min_numerator * t and has_same_digits(snake_case__   , snake_case__		):
									__UpperCamelCase :     int										=  i
									__UpperCamelCase :     Dict										=  t

			return min_numerator


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









'''simple docstring'''






import inspect
import unittest
import warnings
from typing import List

from transformers import EfficientFormerConfig
from transformers.models.auto import get_values
from transformers.testing_utils import require_torch, require_vision, slow, torch_device
from transformers.utils import cached_property, is_torch_available, is_vision_available

from ...test_configuration_common import ConfigTester
from ...test_modeling_common import ModelTesterMixin, floats_tensor, ids_tensor
from ...test_pipeline_mixin import PipelineTesterMixin


if is_torch_available():
				import torch

				from transformers import (
				    MODEL_FOR_IMAGE_CLASSIFICATION_MAPPING,
				    MODEL_MAPPING,
				    EfficientFormerForImageClassification,
				    EfficientFormerForImageClassificationWithTeacher,
				    EfficientFormerModel,
				)
				from transformers.models.efficientformer.modeling_efficientformer import (
				    EFFICIENTFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
				)


if is_vision_available():
				from PIL import Image

				from transformers import EfficientFormerImageProcessor



class    A						:




				'''simple docstring'''





				def __init__(self					,    _UpperCAmelCase					,    _UpperCAmelCase = 1_3					,    _UpperCAmelCase = 6_4					,    _UpperCAmelCase = 2					,    _UpperCAmelCase = 3					,    _UpperCAmelCase = 3					,    _UpperCAmelCase = True					,    _UpperCAmelCase = True					,    _UpperCAmelCase = 1_2_8					,    _UpperCAmelCase=[1_6, 3_2, 6_4, 1_2_8]					,    _UpperCAmelCase = 7					,    _UpperCAmelCase = 4					,    _UpperCAmelCase = 3_7					,    _UpperCAmelCase = "gelu"					,    _UpperCAmelCase = 0.1					,    _UpperCAmelCase = 0.1					,    _UpperCAmelCase = 1_0					,    _UpperCAmelCase = 0.02					,    _UpperCAmelCase = 2					,    _UpperCAmelCase = 1					,    _UpperCAmelCase = 1_2_8					,    _UpperCAmelCase = [2, 2, 2, 2]					,    _UpperCAmelCase = 2					,    _UpperCAmelCase = 2					,    )      ->			Tuple:
							__UpperCamelCase :     int										=  parent
							__UpperCamelCase :     List[str]										=  batch_size
							__UpperCamelCase :     str										=  image_size
							__UpperCamelCase :     Dict										=  patch_size
							__UpperCamelCase :     List[Any]										=  num_channels
							__UpperCamelCase :     int										=  is_training
							__UpperCamelCase :     List[Any]										=  use_labels
							__UpperCamelCase :     List[str]										=  hidden_size
							__UpperCamelCase :     Any										=  num_hidden_layers
							__UpperCamelCase :     List[str]										=  num_attention_heads
							__UpperCamelCase :     List[Any]										=  intermediate_size
							__UpperCamelCase :     Union[str, Any]										=  hidden_act
							__UpperCamelCase :     Optional[Any]										=  hidden_dropout_prob
							__UpperCamelCase :     str										=  attention_probs_dropout_prob
							__UpperCamelCase :     Optional[Any]										=  type_sequence_label_size
							__UpperCamelCase :     List[str]										=  initializer_range
							__UpperCamelCase :     Tuple										=  encoder_stride
							__UpperCamelCase :     Optional[int]										=  num_attention_outputs
							__UpperCamelCase :     Tuple										=  embed_dim
							__UpperCamelCase :     List[Any]										=  embed_dim + 1
							__UpperCamelCase :     Optional[int]										=  resolution
							__UpperCamelCase :     Dict										=  depths
							__UpperCamelCase :     List[str]										=  hidden_sizes
							__UpperCamelCase :     Tuple										=  dim
							__UpperCamelCase :     List[str]										=  mlp_expansion_ratio
				def 			a_			(self     )      ->			str:
							__UpperCamelCase :     int										=  floats_tensor([self.batch_size, self.num_channels, self.image_size, self.image_size]     )

							__UpperCamelCase :     int										=  None
							if self.use_labels:
										__UpperCamelCase :     List[str]										=  ids_tensor([self.batch_size]					,    self.type_sequence_label_size     )

							__UpperCamelCase :     Union[str, Any]										=  self.get_config()
							return config, pixel_values, labels
				def 			a_			(self     )      ->			Optional[Any]:
							return EfficientFormerConfig(
							    image_size=self.image_size					,    patch_size=self.patch_size					,    num_channels=self.num_channels					,    hidden_size=self.hidden_size					,    num_hidden_layers=self.num_hidden_layers					,    num_attention_heads=self.num_attention_heads					,    intermediate_size=self.intermediate_size					,    hidden_act=self.hidden_act					,    hidden_dropout_prob=self.hidden_dropout_prob					,    attention_probs_dropout_prob=self.attention_probs_dropout_prob					,    is_decoder=_UpperCAmelCase					,    initializer_range=self.initializer_range					,    encoder_stride=self.encoder_stride					,    resolution=self.resolution					,    depths=self.depths					,    hidden_sizes=self.hidden_sizes					,    dim=self.dim					,    mlp_expansion_ratio=self.mlp_expansion_ratio					,    )
				def 			a_			(self					,    _UpperCAmelCase					,    _UpperCAmelCase					,    _UpperCAmelCase     )      ->			Any:
							__UpperCamelCase :     Dict										=  EfficientFormerModel(config=_UpperCAmelCase     )
							model.to(_UpperCAmelCase     )
							model.eval()
							__UpperCamelCase :     Optional[Any]										=  model(_UpperCAmelCase     )
							self.parent.assertEqual(result.last_hidden_state.shape					,    (self.batch_size, self.seq_length, self.hidden_size)     )
				def 			a_			(self					,    _UpperCAmelCase					,    _UpperCAmelCase					,    _UpperCAmelCase     )      ->			str:
							__UpperCamelCase :     Dict										=  self.type_sequence_label_size
							__UpperCamelCase :     Dict										=  EfficientFormerForImageClassification(_UpperCAmelCase     )
							model.to(_UpperCAmelCase     )
							model.eval()
							__UpperCamelCase :     int										=  model(_UpperCAmelCase					,    labels=_UpperCAmelCase     )
							self.parent.assertEqual(result.logits.shape					,    (self.batch_size, self.type_sequence_label_size)     )

							# test greyscale images
							__UpperCamelCase :     Any										=  1
							__UpperCamelCase :     Optional[Any]										=  EfficientFormerForImageClassification(_UpperCAmelCase     )
							model.to(_UpperCAmelCase     )
							model.eval()

							__UpperCamelCase :     str										=  floats_tensor([self.batch_size, 1, self.image_size, self.image_size]     )
							__UpperCamelCase :     List[str]										=  model(_UpperCAmelCase     )
							self.parent.assertEqual(result.logits.shape					,    (self.batch_size, self.type_sequence_label_size)     )





				def 			a_			(self     )      ->			Tuple:
							__UpperCamelCase :     Tuple										=  self.prepare_config_and_inputs()
							(
							    (
							    __UpperCamelCase
							)						,   (
							    __UpperCamelCase
							)						,   (
							    __UpperCamelCase
							)						,   
							) :     Tuple										=  config_and_inputs
							__UpperCamelCase :     Dict										=  {"pixel_values": pixel_values}
							return config, inputs_dict







@require_torch
class    A						(					SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				unittest.TestCase						):




				'''simple docstring'''





				A       =							(
				    (
				        EfficientFormerModel,
				        EfficientFormerForImageClassificationWithTeacher,
				        EfficientFormerForImageClassification,
				    )
				    if is_torch_available()
				    else ()
				)
				A       =							(
				    {
				        "feature-extraction": EfficientFormerModel,
				        "image-classification": (
				            EfficientFormerForImageClassification,
				            EfficientFormerForImageClassificationWithTeacher,
				        ),
				    }
				    if is_torch_available()
				    else {}
				)
				A       =							False

				A       =							False
				A       =							False
				A       =							False
				def 			a_			(self     )      ->			Optional[int]:
							__UpperCamelCase :     Any										=  EfficientFormerModelTester(self     )
							__UpperCamelCase :     List[str]										=  ConfigTester(
							    self					,    config_class=_UpperCAmelCase					,    has_text_modality=_UpperCAmelCase					,    hidden_size=3_7     )
				def 			a_			(self     )      ->			Dict:
							self.config_tester.run_common_tests()
				@unittest.skip(reason="EfficientFormer does not use inputs_embeds"     )
				def 			a_			(self     )      ->			List[str]:
							pass
				@unittest.skip(reason="EfficientFormer does not support input and output embeddings"     )
				def 			a_			(self     )      ->			List[str]:
							pass
				def 			a_			(self     )      ->			Union[str, Any]:
							__UpperCamelCase						,   __UpperCamelCase :     List[str]										=  self.model_tester.prepare_config_and_inputs_for_common()

							for model_class in self.all_model_classes:
										__UpperCamelCase :     Union[str, Any]										=  model_class(_UpperCAmelCase     )
										__UpperCamelCase :     Any										=  inspect.signature(model.forward     )
										# signature.parameters is an OrderedDict => so arg_names order is deterministic
										__UpperCamelCase :     int										=  [*signature.parameters.keys()]

										__UpperCamelCase :     Optional[Any]										=  ["pixel_values"]
										self.assertListEqual(arg_names[:1]					,    _UpperCAmelCase     )
				def 			a_			(self     )      ->			str:
							def check_hidden_states_output(_UpperCAmelCase					,    _UpperCAmelCase					,    _UpperCAmelCase     ):
										__UpperCamelCase :     str										=  model_class(_UpperCAmelCase     )
										model.to(_UpperCAmelCase     )
										model.eval()

										with torch.no_grad():
													__UpperCamelCase :     Union[str, Any]										=  model(**self._prepare_for_class(_UpperCAmelCase					,    _UpperCAmelCase     )     )

										__UpperCamelCase :     List[str]										=  outputs.encoder_hidden_states if config.is_encoder_decoder else outputs.hidden_states

										__UpperCamelCase :     Union[str, Any]										=  getattr(
										    self.model_tester					,    "expected_num_hidden_layers"					,    self.model_tester.num_hidden_layers + 1     )
										self.assertEqual(len(_UpperCAmelCase     )					,    _UpperCAmelCase     )

										if hasattr(self.model_tester					,    "encoder_seq_length"     ):
													__UpperCamelCase :     Dict										=  self.model_tester.encoder_seq_length
													if hasattr(self.model_tester					,    "chunk_length"     ) and self.model_tester.chunk_length > 1:
																__UpperCamelCase :     Optional[int]										=  seq_length * self.model_tester.chunk_length
										else:
													__UpperCamelCase :     int										=  self.model_tester.seq_length

										self.assertListEqual(
										    list(hidden_states[-1].shape[-2:]     )					,    [seq_length, self.model_tester.hidden_size]					,    )

										if config.is_encoder_decoder:
													__UpperCamelCase :     str										=  outputs.decoder_hidden_states

													self.assertIsInstance(_UpperCAmelCase					,    (list, tuple)     )
													self.assertEqual(len(_UpperCAmelCase     )					,    _UpperCAmelCase     )
													__UpperCamelCase :     Optional[int]										=  getattr(self.model_tester					,    "seq_length"					,    _UpperCAmelCase     )
													__UpperCamelCase :     Dict										=  getattr(self.model_tester					,    "decoder_seq_length"					,    _UpperCAmelCase     )

													self.assertListEqual(
													    list(hidden_states[-1].shape[-2:]     )					,    [decoder_seq_length, self.model_tester.hidden_size]					,    )

							__UpperCamelCase						,   __UpperCamelCase :     Optional[Any]										=  self.model_tester.prepare_config_and_inputs_for_common()

							for model_class in self.all_model_classes:
										__UpperCamelCase :     Dict										=  True
										check_hidden_states_output(_UpperCAmelCase					,    _UpperCAmelCase					,    _UpperCAmelCase     )

										# check that output_hidden_states also work using config
										del inputs_dict["output_hidden_states"]
										__UpperCamelCase :     int										=  True

										check_hidden_states_output(_UpperCAmelCase					,    _UpperCAmelCase					,    _UpperCAmelCase     )
				def 			a_			(self					,    _UpperCAmelCase					,    _UpperCAmelCase					,    _UpperCAmelCase=False     )      ->			int:
							__UpperCamelCase :     Optional[Any]										=  super()._prepare_for_class(_UpperCAmelCase					,    _UpperCAmelCase					,    return_labels=_UpperCAmelCase     )

							if return_labels:
										if model_class.__name__ == "EfficientFormerForImageClassificationWithTeacher":
													del inputs_dict["labels"]

							return inputs_dict
				def 			a_			(self     )      ->			List[str]:
							__UpperCamelCase :     List[str]										=  self.model_tester.prepare_config_and_inputs()
							self.model_tester.create_and_check_model(*_UpperCAmelCase     )
				@unittest.skip(reason="EfficientFormer does not implement masked image modeling yet"     )
				def 			a_			(self     )      ->			Dict:
							__UpperCamelCase :     str										=  self.model_tester.prepare_config_and_inputs()
							self.model_tester.create_and_check_for_masked_image_modeling(*_UpperCAmelCase     )
				def 			a_			(self     )      ->			Any:
							__UpperCamelCase :     Any										=  self.model_tester.prepare_config_and_inputs()
							self.model_tester.create_and_check_for_image_classification(*_UpperCAmelCase     )
				def 			a_			(self     )      ->			Any:
							if not self.model_tester.is_training:
										return

							__UpperCamelCase						,   __UpperCamelCase :     List[str]										=  self.model_tester.prepare_config_and_inputs_for_common()
							__UpperCamelCase :     List[Any]										=  True

							for model_class in self.all_model_classes:
										# EfficientFormerForImageClassificationWithTeacher supports inference-only
										if (
										    model_class in get_values(_UpperCAmelCase     )
										    or model_class.__name__ == "EfficientFormerForImageClassificationWithTeacher"
										):
													continue
										__UpperCamelCase :     List[str]										=  model_class(_UpperCAmelCase     )
										model.to(_UpperCAmelCase     )
										model.train()
										__UpperCamelCase :     Optional[Any]										=  self._prepare_for_class(_UpperCAmelCase					,    _UpperCAmelCase					,    return_labels=_UpperCAmelCase     )
										__UpperCamelCase :     str										=  model(**_UpperCAmelCase     ).loss
										loss.backward()
				def 			a_			(self     )      ->			Tuple:
							__UpperCamelCase						,   __UpperCamelCase :     Optional[Any]										=  self.model_tester.prepare_config_and_inputs_for_common()

							__UpperCamelCase :     List[Any]										=  [
							    {"title": "multi_label_classification", "num_labels": 2, "dtype": torch.float},
							    {"title": "single_label_classification", "num_labels": 1, "dtype": torch.long},
							    {"title": "regression", "num_labels": 1, "dtype": torch.float},
							]

							for model_class in self.all_model_classes:
										if (
										    model_class
										    not in [
										        *get_values(_UpperCAmelCase     ),
										    ]
										    or model_class.__name__ == "EfficientFormerForImageClassificationWithTeacher"
										):
													continue

										for problem_type in problem_types:
													with self.subTest(msg=f"Testing {model_class} with {problem_type['title']}"     ):
																__UpperCamelCase :     List[str]										=  problem_type["title"]
																__UpperCamelCase :     Dict										=  problem_type["num_labels"]

																__UpperCamelCase :     Optional[Any]										=  model_class(_UpperCAmelCase     )
																model.to(_UpperCAmelCase     )
																model.train()

																__UpperCamelCase :     Optional[Any]										=  self._prepare_for_class(_UpperCAmelCase					,    _UpperCAmelCase					,    return_labels=_UpperCAmelCase     )

																if problem_type["num_labels"] > 1:
																			__UpperCamelCase :     Optional[int]										=  inputs["labels"].unsqueeze(1     ).repeat(1					,    problem_type["num_labels"]     )

																__UpperCamelCase :     Tuple										=  inputs["labels"].to(problem_type["dtype"]     )

																# This tests that we do not trigger the warning form PyTorch "Using a target size that is different
																# to the input size. This will likely lead to incorrect results due to broadcasting. Please ensure
																# they have the same size." which is a symptom something in wrong for the regression problem.
																# See https://github.com/huggingface/transformers/issues/11780
																with warnings.catch_warnings(record=_UpperCAmelCase     ) as warning_list:
																			__UpperCamelCase :     Union[str, Any]										=  model(**_UpperCAmelCase     ).loss
																for w in warning_list:
																			if "Using a target size that is different to the input size" in str(w.message     ):
																						raise ValueError(
																						    f"Something is going wrong in the regression problem: intercepted {w.message}"     )

																loss.backward()
				@slow
				def 			a_			(self     )      ->			Optional[int]:
							for model_name in EFFICIENTFORMER_PRETRAINED_MODEL_ARCHIVE_LIST[:1]:
										__UpperCamelCase :     Tuple										=  EfficientFormerModel.from_pretrained(_UpperCAmelCase     )
										self.assertIsNotNone(_UpperCAmelCase     )





				def 			a_			(self     )      ->			Tuple:
							__UpperCamelCase						,   __UpperCamelCase :     Optional[Any]										=  self.model_tester.prepare_config_and_inputs_for_common()
							__UpperCamelCase :     Optional[int]										=  True

							__UpperCamelCase :     Union[str, Any]										=  getattr(self.model_tester					,    "seq_length"					,    _UpperCAmelCase     )
							__UpperCamelCase :     int										=  getattr(self.model_tester					,    "encoder_seq_length"					,    _UpperCAmelCase     )
							__UpperCamelCase :     List[Any]										=  getattr(self.model_tester					,    "key_length"					,    _UpperCAmelCase     )
							__UpperCamelCase :     Dict										=  getattr(self.model_tester					,    "chunk_length"					,    _UpperCAmelCase     )

							if chunk_length is not None and hasattr(self.model_tester					,    "num_hashes"     ):
										__UpperCamelCase :     Union[str, Any]										=  encoder_seq_length * self.model_tester.num_hashes

							for model_class in self.all_model_classes:
										__UpperCamelCase :     Dict										=  True
										__UpperCamelCase :     Tuple										=  False
										__UpperCamelCase :     Optional[Any]										=  True
										__UpperCamelCase :     Optional[Any]										=  model_class(_UpperCAmelCase     )
										model.to(_UpperCAmelCase     )
										model.eval()
										with torch.no_grad():
													__UpperCamelCase :     Dict										=  model(**self._prepare_for_class(_UpperCAmelCase					,    _UpperCAmelCase     )     )
										__UpperCamelCase :     str										=  outputs.encoder_attentions if config.is_encoder_decoder else outputs.attentions
										self.assertEqual(len(_UpperCAmelCase     )					,    self.model_tester.num_attention_outputs     )

										# check that output_attentions also work using config
										del inputs_dict["output_attentions"]
										__UpperCamelCase :     List[str]										=  True
										__UpperCamelCase :     Optional[int]										=  model_class(_UpperCAmelCase     )
										model.to(_UpperCAmelCase     )
										model.eval()
										with torch.no_grad():
													__UpperCamelCase :     str										=  model(**self._prepare_for_class(_UpperCAmelCase					,    _UpperCAmelCase     )     )
										__UpperCamelCase :     List[Any]										=  outputs.encoder_attentions if config.is_encoder_decoder else outputs.attentions
										self.assertEqual(len(_UpperCAmelCase     )					,    self.model_tester.num_attention_outputs     )

										if chunk_length is not None:
													self.assertListEqual(
													    list(attentions[0].shape[-4:]     )					,    [self.model_tester.num_attention_heads, encoder_seq_length, chunk_length, encoder_key_length]					,    )
										else:
													self.assertListEqual(
													    list(attentions[0].shape[-3:]     )					,    [self.model_tester.num_attention_heads, encoder_seq_length, encoder_key_length]					,    )







def      __lowerCAmelCase   (       ):
			__UpperCamelCase :     Any										=  Image.open("./tests/fixtures/tests_samples/COCO/000000039769.png"		)
			return image




@require_torch
@require_vision
class    A						(					unittest.TestCase						):




				'''simple docstring'''





				@cached_property
				def 			a_			(self     )      ->			Optional[Any]:
							return (
							    EfficientFormerImageProcessor.from_pretrained("snap-research/efficientformer-l1-300"     )
							    if is_vision_available()
							    else None
							)
				@slow
				def 			a_			(self     )      ->			Optional[Any]:
							__UpperCamelCase :     str										=  EfficientFormerForImageClassification.from_pretrained("snap-research/efficientformer-l1-300"     ).to(
							    _UpperCAmelCase     )

							__UpperCamelCase :     Optional[int]										=  self.default_image_processor
							__UpperCamelCase :     Optional[Any]										=  prepare_img()
							__UpperCamelCase :     Any										=  image_processor(images=_UpperCAmelCase					,    return_tensors="pt"     ).to(_UpperCAmelCase     )

							# forward pass
							with torch.no_grad():
										__UpperCamelCase :     Optional[Any]										=  model(**_UpperCAmelCase     )

							# verify the logits
							__UpperCamelCase :     Tuple										=  (1, 1_0_0_0)
							self.assertEqual(outputs.logits.shape					,    _UpperCAmelCase     )

							__UpperCamelCase :     Optional[int]										=  torch.tensor([-0.0_555, 0.4_825, -0.0_852]     ).to(_UpperCAmelCase     )
							self.assertTrue(torch.allclose(outputs.logits[0][:3]					,    _UpperCAmelCase					,    atol=1E-4     )     )





				@slow
				def 			a_			(self     )      ->			List[Any]:
							__UpperCamelCase :     Optional[int]										=  EfficientFormerForImageClassificationWithTeacher.from_pretrained(
							    "snap-research/efficientformer-l1-300"     ).to(_UpperCAmelCase     )

							__UpperCamelCase :     str										=  self.default_image_processor
							__UpperCamelCase :     List[str]										=  prepare_img()
							__UpperCamelCase :     List[Any]										=  image_processor(images=_UpperCAmelCase					,    return_tensors="pt"     ).to(_UpperCAmelCase     )

							# forward pass
							with torch.no_grad():
										__UpperCamelCase :     str										=  model(**_UpperCAmelCase     )

							# verify the logits
							__UpperCamelCase :     int										=  (1, 1_0_0_0)
							self.assertEqual(outputs.logits.shape					,    _UpperCAmelCase     )

							__UpperCamelCase :     int										=  torch.tensor([-0.1_312, 0.4_353, -1.0_499]     ).to(_UpperCAmelCase     )
							self.assertTrue(torch.allclose(outputs.logits[0][:3]					,    _UpperCAmelCase					,    atol=1E-4     )     )



