





def 					A__	(       SCREAMING_SNAKE_CASE_ = 1_0_0_0		)   ->     int:
		lowerCamelCase   : Union[str, Any]								=1, 1
		lowerCamelCase   : int								=[]
		for i in range(1							,       n + 1		):
				lowerCamelCase   : int								=prev_numerator + 2 * prev_denominator
				lowerCamelCase   : Any								=prev_numerator + prev_denominator
				if len(str(SCREAMING_SNAKE_CASE_		)		) > len(str(SCREAMING_SNAKE_CASE_		)		):
						result.append(SCREAMING_SNAKE_CASE_		)
				lowerCamelCase   : Union[str, Any]								=numerator
				lowerCamelCase   : List[str]								=denominator

		return len(SCREAMING_SNAKE_CASE_		)


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








from pathlib import Path
from typing import List

from transformers import is_torch_available, is_vision_available
from transformers.testing_utils import get_tests_dir, is_tool_test
from transformers.tools.agent_types import AGENT_TYPE_MAPPING, AgentAudio, AgentImage, AgentText


if is_torch_available():
				import torch

if is_vision_available():
				from PIL import Image


snake_case_							=			['''text''', '''image''', '''audio''']


def 					A__	(       SCREAMING_SNAKE_CASE_		)   ->     List[str]:
		lowerCamelCase   : Union[str, Any]								=[]

		for input_type in input_types:
				if input_type == "text":
						inputs.append('''Text input'''		)
				elif input_type == "image":
						inputs.append(
						    Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO'''		)		) / '''000000039769.png'''		).resize((5_1_2, 5_1_2)		)		)
				elif input_type == "audio":
						inputs.append(torch.ones(3_0_0_0		)		)
				elif isinstance(SCREAMING_SNAKE_CASE_							,       SCREAMING_SNAKE_CASE_		):
						inputs.append(create_inputs(SCREAMING_SNAKE_CASE_		)		)
				else:
						raise ValueError(F"Invalid type requested: {input_type}"		)

		return inputs


def 					A__	(       SCREAMING_SNAKE_CASE_		)   ->     Optional[int]:
		lowerCamelCase   : str								=[]

		for output in outputs:
				if isinstance(SCREAMING_SNAKE_CASE_							,       (str, AgentText)		):
						output_types.append('''text'''		)
				elif isinstance(SCREAMING_SNAKE_CASE_							,       (Image.Image, AgentImage)		):
						output_types.append('''image'''		)
				elif isinstance(SCREAMING_SNAKE_CASE_							,       (torch.Tensor, AgentAudio)		):
						output_types.append('''audio'''		)
				else:
						raise ValueError(F"Invalid output: {output}"		)

		return output_types



@is_tool_test
class        snake_case_		:







		def 			__lowercase   (		self   )				->   Tuple:
				self.assertTrue(hasattr(self.tool			,     '''inputs'''   )   )
				self.assertTrue(hasattr(self.tool			,     '''outputs'''   )   )

				lowerCamelCase   : List[Any]								=self.tool.inputs
				for _input in inputs:
						if isinstance(_input			,     __lowercase   ):
								for __input in _input:
										self.assertTrue(__input in authorized_types   )
						else:
								self.assertTrue(_input in authorized_types   )

				lowerCamelCase   : List[Any]								=self.tool.outputs
				for _output in outputs:
						self.assertTrue(_output in authorized_types   )







		def 			__lowercase   (		self   )				->   Any:
				lowerCamelCase   : Dict								=create_inputs(self.tool.inputs   )
				lowerCamelCase   : Any								=self.tool(*__lowercase   )

				# There is a single output
				if len(self.tool.outputs   ) == 1:
						lowerCamelCase   : Union[str, Any]								=[outputs]

				self.assertListEqual(output_types(__lowercase   )			,     self.tool.outputs   )







		def 			__lowercase   (		self   )				->   Any:
				self.assertTrue(hasattr(self.tool			,     '''description'''   )   )
				self.assertTrue(hasattr(self.tool			,     '''default_checkpoint'''   )   )
				self.assertTrue(self.tool.description.startswith('''This is a tool that'''   )   )







		def 			__lowercase   (		self   )				->   Any:
				lowerCamelCase   : Dict								=create_inputs(self.tool.inputs   )
				lowerCamelCase   : Dict								=self.tool(*__lowercase   )

				if not isinstance(__lowercase			,     __lowercase   ):
						lowerCamelCase   : int								=[outputs]

				self.assertEqual(len(__lowercase   )			,     len(self.tool.outputs   )   )

				for output, output_type in zip(__lowercase			,     self.tool.outputs   ):
						lowerCamelCase   : Any								=AGENT_TYPE_MAPPING[output_type]
						self.assertTrue(isinstance(__lowercase			,     __lowercase   )   )







		def 			__lowercase   (		self   )				->   List[str]:
				lowerCamelCase   : Optional[Any]								=create_inputs(self.tool.inputs   )

				lowerCamelCase   : str								=[]

				for _input, input_type in zip(__lowercase			,     self.tool.inputs   ):
						if isinstance(__lowercase			,     __lowercase   ):
								_inputs.append([AGENT_TYPE_MAPPING[_input_type](_input   ) for _input_type in input_type]   )
						else:
								_inputs.append(AGENT_TYPE_MAPPING[input_type](_input   )   )

        # Should not raise an error
				lowerCamelCase   : Union[str, Any]								=self.tool(*__lowercase   )

				if not isinstance(__lowercase			,     __lowercase   ):
						lowerCamelCase   : int								=[outputs]

				self.assertEqual(len(__lowercase   )			,     len(self.tool.outputs   )   )

