



import json
import sys
import tempfile
import unittest
from pathlib import Path

import transformers
from transformers import (
    CONFIG_MAPPING,
    IMAGE_PROCESSOR_MAPPING,
    AutoConfig,
    AutoImageProcessor,
    CLIPConfig,
    CLIPImageProcessor,
)
from transformers.testing_utils import DUMMY_UNKNOWN_IDENTIFIER


sys.path.append(str(Path(__file__).parent.parent.parent.parent / '''utils'''))

from test_module.custom_configuration import CustomConfig  # noqa E402
from test_module.custom_image_processing import CustomImageProcessor  # noqa E402



class 				__snake_case						(     unittest.TestCase						):




							def    UpperCAmelCase__			(       self     :       int):
									lowerCAmelCase_			:     int									= 0




							def    UpperCAmelCase__			(       self     :       int):
									lowerCAmelCase_			:     Optional[Any]									= AutoImageProcessor.from_pretrained('''openai/clip-vit-base-patch32''')
									self.assertIsInstance(A_				,				A_)




							def    UpperCAmelCase__			(       self     :       Any):
									with tempfile.TemporaryDirectory() as tmpdirname:
											lowerCAmelCase_			:     List[Any]									= Path(A_) / '''preprocessor_config.json'''
											lowerCAmelCase_			:     List[str]									= Path(A_) / '''config.json'''
											json.dump(
											    {'''image_processor_type''': '''CLIPImageProcessor''', '''processor_class''': '''CLIPProcessor'''}				,				open(A_				,				'''w''')				,				)
											json.dump({'''model_type''': '''clip'''}				,				open(A_				,				'''w'''))

											lowerCAmelCase_			:     List[str]									= AutoImageProcessor.from_pretrained(A_)
											self.assertIsInstance(A_				,				A_)




							def    UpperCAmelCase__			(       self     :       Optional[int]):
									# Ensure we can load the image processor from the feature extractor config
									with tempfile.TemporaryDirectory() as tmpdirname:
											lowerCAmelCase_			:     List[str]									= Path(A_) / '''preprocessor_config.json'''
											lowerCAmelCase_			:     Optional[Any]									= Path(A_) / '''config.json'''
											json.dump(
											    {'''feature_extractor_type''': '''CLIPFeatureExtractor''', '''processor_class''': '''CLIPProcessor'''}				,				open(A_				,				'''w''')				,				)
											json.dump({'''model_type''': '''clip'''}				,				open(A_				,				'''w'''))

											lowerCAmelCase_			:     Optional[Any]									= AutoImageProcessor.from_pretrained(A_)
											self.assertIsInstance(A_				,				A_)




							def    UpperCAmelCase__			(       self     :       str):
									with tempfile.TemporaryDirectory() as tmpdirname:
											lowerCAmelCase_			:     Tuple									= CLIPConfig()

											# Create a dummy config file with image_proceesor_type
											lowerCAmelCase_			:     List[str]									= Path(A_) / '''preprocessor_config.json'''
											lowerCAmelCase_			:     Dict									= Path(A_) / '''config.json'''
											json.dump(
											    {'''image_processor_type''': '''CLIPImageProcessor''', '''processor_class''': '''CLIPProcessor'''}				,				open(A_				,				'''w''')				,				)
											json.dump({'''model_type''': '''clip'''}				,				open(A_				,				'''w'''))

											# remove image_processor_type to make sure config.json alone is enough to load image processor locally
											lowerCAmelCase_			:     List[Any]									= AutoImageProcessor.from_pretrained(A_).to_dict()

											config_dict.pop('''image_processor_type''')
											lowerCAmelCase_			:     int									= CLIPImageProcessor(**A_)

											# save in new folder
											model_config.save_pretrained(A_)
											config.save_pretrained(A_)

											lowerCAmelCase_			:     int									= AutoImageProcessor.from_pretrained(A_)

											# make sure private variable is not incorrectly saved
											lowerCAmelCase_			:     Any									= json.loads(config.to_json_string())
											self.assertTrue('''_processor_class''' not in dict_as_saved)

									self.assertIsInstance(A_				,				A_)




							def    UpperCAmelCase__			(       self     :       Union[str, Any]):
									with tempfile.TemporaryDirectory() as tmpdirname:
											lowerCAmelCase_			:     Dict									= Path(A_) / '''preprocessor_config.json'''
											json.dump(
											    {'''image_processor_type''': '''CLIPImageProcessor''', '''processor_class''': '''CLIPProcessor'''}				,				open(A_				,				'''w''')				,				)

											lowerCAmelCase_			:     int									= AutoImageProcessor.from_pretrained(A_)
											self.assertIsInstance(A_				,				A_)




							def    UpperCAmelCase__			(       self     :       Tuple):
									with self.assertRaisesRegex(
									    A_				,				'''clip-base is not a local folder and is not a valid model identifier'''):
											lowerCAmelCase_			:     List[Any]									= AutoImageProcessor.from_pretrained('''clip-base''')




							def    UpperCAmelCase__			(       self     :       Union[str, Any]):
									with self.assertRaisesRegex(
									    A_				,				r'''aaaaaa is not a valid git identifier \(branch name, tag name or commit id\)'''):
											lowerCAmelCase_			:     Optional[Any]									= AutoImageProcessor.from_pretrained(A_				,				revision='''aaaaaa''')




							def    UpperCAmelCase__			(       self     :       List[str]):
									with self.assertRaisesRegex(
									    A_				,				'''hf-internal-testing/config-no-model does not appear to have a file named preprocessor_config.json.'''				,				):
											lowerCAmelCase_			:     Tuple									= AutoImageProcessor.from_pretrained('''hf-internal-testing/config-no-model''')




							def    UpperCAmelCase__			(       self     :       str):
									# If remote code is not set, we will time out when asking whether to load the model.
									with self.assertRaises(A_):
											lowerCAmelCase_			:     Optional[int]									= AutoImageProcessor.from_pretrained('''hf-internal-testing/test_dynamic_image_processor''')
									# If remote code is disabled, we can't load this config.
									with self.assertRaises(A_):
											lowerCAmelCase_			:     List[str]									= AutoImageProcessor.from_pretrained(
											    '''hf-internal-testing/test_dynamic_image_processor'''				,				trust_remote_code=A_)

									lowerCAmelCase_			:     List[Any]									= AutoImageProcessor.from_pretrained(
									    '''hf-internal-testing/test_dynamic_image_processor'''				,				trust_remote_code=A_)
									self.assertEqual(image_processor.__class__.__name__				,				'''NewImageProcessor''')

									# Test image processor can be reloaded.
									with tempfile.TemporaryDirectory() as tmp_dir:
											image_processor.save_pretrained(A_)
											lowerCAmelCase_			:     List[str]									= AutoImageProcessor.from_pretrained(A_				,				trust_remote_code=A_)
									self.assertEqual(reloaded_image_processor.__class__.__name__				,				'''NewImageProcessor''')




							def    UpperCAmelCase__			(       self     :       List[Any]):
									try:
											AutoConfig.register('''custom'''				,				A_)
											AutoImageProcessor.register(A_				,				A_)
											# Trying to register something existing in the Transformers library will raise an error
											with self.assertRaises(A_):
													AutoImageProcessor.register(A_				,				A_)

											with tempfile.TemporaryDirectory() as tmpdirname:
													lowerCAmelCase_			:     List[Any]									= Path(A_) / '''preprocessor_config.json'''
													lowerCAmelCase_			:     Union[str, Any]									= Path(A_) / '''config.json'''
													json.dump(
													    {'''feature_extractor_type''': '''CLIPFeatureExtractor''', '''processor_class''': '''CLIPProcessor'''}				,				open(A_				,				'''w''')				,				)
													json.dump({'''model_type''': '''clip'''}				,				open(A_				,				'''w'''))

													lowerCAmelCase_			:     Tuple									= CustomImageProcessor.from_pretrained(A_)

											# Now that the config is registered, it can be used as any other config with the auto-API
											with tempfile.TemporaryDirectory() as tmp_dir:
													image_processor.save_pretrained(A_)
													lowerCAmelCase_			:     Any									= AutoImageProcessor.from_pretrained(A_)
													self.assertIsInstance(A_				,				A_)

									finally:
											if "custom" in CONFIG_MAPPING._extra_content:
													del CONFIG_MAPPING._extra_content["custom"]
											if CustomConfig in IMAGE_PROCESSOR_MAPPING._extra_content:
													del IMAGE_PROCESSOR_MAPPING._extra_content[CustomConfig]







							def    UpperCAmelCase__			(       self     :       str):



									class 				__snake_case						(     UpperCamelCase_						):
																_a			      = True

									try:
											AutoConfig.register('''custom'''				,				A_)
											AutoImageProcessor.register(A_				,				A_)
											# If remote code is not set, the default is to use local
											lowerCAmelCase_			:     Optional[Any]									= AutoImageProcessor.from_pretrained('''hf-internal-testing/test_dynamic_image_processor''')
											self.assertEqual(image_processor.__class__.__name__				,				'''NewImageProcessor''')
											self.assertTrue(image_processor.is_local)

											# If remote code is disabled, we load the local one.
											lowerCAmelCase_			:     Union[str, Any]									= AutoImageProcessor.from_pretrained(
											    '''hf-internal-testing/test_dynamic_image_processor'''				,				trust_remote_code=A_)
											self.assertEqual(image_processor.__class__.__name__				,				'''NewImageProcessor''')
											self.assertTrue(image_processor.is_local)

											# If remote is enabled, we load from the Hub
											lowerCAmelCase_			:     List[str]									= AutoImageProcessor.from_pretrained(
											    '''hf-internal-testing/test_dynamic_image_processor'''				,				trust_remote_code=A_)
											self.assertEqual(image_processor.__class__.__name__				,				'''NewImageProcessor''')
											self.assertTrue(not hasattr(A_				,				'''is_local'''))

									finally:
											if "custom" in CONFIG_MAPPING._extra_content:
													del CONFIG_MAPPING._extra_content["custom"]
											if CustomConfig in IMAGE_PROCESSOR_MAPPING._extra_content:
													del IMAGE_PROCESSOR_MAPPING._extra_content[CustomConfig]










'''simple docstring'''




from math import ceil, sqrt


def 				lowerCAmelCase_   (	_lowerCamelCase:   int = 1_00_00_00					):
		__SCREAMING_SNAKE_CASE       :		Union[str, Any]           =		0

		for outer_width in range(3       ,      (limit // 4) + 2					):
				if outer_width**2 > limit:
						__SCREAMING_SNAKE_CASE       :		Union[str, Any]           =		max(ceil(sqrt(outer_width**2 - limit					)					)       ,      1					)
				else:
						__SCREAMING_SNAKE_CASE       :		Union[str, Any]           =		1
				if (outer_width - hole_width_lower_bound) % 2:
						hole_width_lower_bound += 1

				answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

		return answer


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