





"""simple docstring"""




def    _SCREAMING_SNAKE_CASE	(			_lowercase		:					str = 100_0000      )				->Optional[int]:






	'''simple docstring'''






	a   :	Optional[int]			=       limit + 1
	a   :	Dict			=       [0] * limit
	for first_term in range(1					, _lowercase      ):
		for n in range(_lowercase					, _lowercase					, _lowercase      ):
			a   :	List[str]			=       first_term + n / first_term
			if common_difference % 4:  # d must be divisble by 4
				continue
			else:
				common_difference /= 4
				if (
				    first_term > common_difference
				    and first_term < 4 * common_difference
				):  # since x,y,z are positive integers
					frequency[n] += 1  # so z>0 and a>d ,also 4d<a

	a   :	Optional[Any]			=       sum(1 for x in frequency[1:limit] if x == 10      )

	return count


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









"""simple docstring"""




import unittest

from diffusers.pipelines.pipeline_utils import is_safetensors_compatible


class  __UpperCamelCase       (		unittest.TestCase		):






							def 					__a     (     self   )			->				Optional[Any]:
								a   :	Optional[int]			=       [
								    "safety_checker/pytorch_model.bin",
								    "safety_checker/model.safetensors",
								    "vae/diffusion_pytorch_model.bin",
								    "vae/diffusion_pytorch_model.safetensors",
								    "text_encoder/pytorch_model.bin",
								    "text_encoder/model.safetensors",
								    "unet/diffusion_pytorch_model.bin",
								    "unet/diffusion_pytorch_model.safetensors",
								]
								self.assertTrue(is_safetensors_compatible(lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				Optional[Any]:
								a   :	str			=       [
								    "unet/diffusion_pytorch_model.bin",
								    "unet/diffusion_pytorch_model.safetensors",
								]
								self.assertTrue(is_safetensors_compatible(lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				Dict:
								a   :	List[str]			=       [
								    "safety_checker/pytorch_model.bin",
								    "safety_checker/model.safetensors",
								    "vae/diffusion_pytorch_model.bin",
								    "vae/diffusion_pytorch_model.safetensors",
								    "text_encoder/pytorch_model.bin",
								    "text_encoder/model.safetensors",
								    "unet/diffusion_pytorch_model.bin",
								    # Removed: 'unet/diffusion_pytorch_model.safetensors',
								]
								self.assertFalse(is_safetensors_compatible(lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				List[Any]:
								a   :	Optional[Any]			=       [
								    "text_encoder/pytorch_model.bin",
								    "text_encoder/model.safetensors",
								]
								self.assertTrue(is_safetensors_compatible(lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				Tuple:
								a   :	Tuple			=       [
								    "safety_checker/pytorch_model.bin",
								    "safety_checker/model.safetensors",
								    "vae/diffusion_pytorch_model.bin",
								    "vae/diffusion_pytorch_model.safetensors",
								    "text_encoder/pytorch_model.bin",
								    # Removed: 'text_encoder/model.safetensors',
								    "unet/diffusion_pytorch_model.bin",
								    "unet/diffusion_pytorch_model.safetensors",
								]
								self.assertFalse(is_safetensors_compatible(lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				Dict:
								a   :	Dict			=       [
								    "safety_checker/pytorch_model.fp16.bin",
								    "safety_checker/model.fp16.safetensors",
								    "vae/diffusion_pytorch_model.fp16.bin",
								    "vae/diffusion_pytorch_model.fp16.safetensors",
								    "text_encoder/pytorch_model.fp16.bin",
								    "text_encoder/model.fp16.safetensors",
								    "unet/diffusion_pytorch_model.fp16.bin",
								    "unet/diffusion_pytorch_model.fp16.safetensors",
								]
								a   :	Dict			=       "fp16"
								self.assertTrue(is_safetensors_compatible(lowerCAmelCase__   ,      variant=lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				List[str]:
								a   :	List[Any]			=       [
								    "unet/diffusion_pytorch_model.fp16.bin",
								    "unet/diffusion_pytorch_model.fp16.safetensors",
								]
								a   :	Any			=       "fp16"
								self.assertTrue(is_safetensors_compatible(lowerCAmelCase__   ,      variant=lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				int:
								# pass variant but use the non-variant filenames
								a   :	int			=       [
								    "unet/diffusion_pytorch_model.bin",
								    "unet/diffusion_pytorch_model.safetensors",
								]
								a   :	Tuple			=       "fp16"
								self.assertTrue(is_safetensors_compatible(lowerCAmelCase__   ,      variant=lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				str:
								a   :	str			=       [
								    "safety_checker/pytorch_model.fp16.bin",
								    "safety_checker/model.fp16.safetensors",
								    "vae/diffusion_pytorch_model.fp16.bin",
								    "vae/diffusion_pytorch_model.fp16.safetensors",
								    "text_encoder/pytorch_model.fp16.bin",
								    "text_encoder/model.fp16.safetensors",
								    "unet/diffusion_pytorch_model.fp16.bin",
								    # Removed: 'unet/diffusion_pytorch_model.fp16.safetensors',
								]
								a   :	Any			=       "fp16"
								self.assertFalse(is_safetensors_compatible(lowerCAmelCase__   ,      variant=lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				str:
								a   :	Union[str, Any]			=       [
								    "text_encoder/pytorch_model.fp16.bin",
								    "text_encoder/model.fp16.safetensors",
								]
								a   :	str			=       "fp16"
								self.assertTrue(is_safetensors_compatible(lowerCAmelCase__   ,      variant=lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				List[str]:
								# pass variant but use the non-variant filenames
								a   :	Optional[int]			=       [
								    "text_encoder/pytorch_model.bin",
								    "text_encoder/model.safetensors",
								]
								a   :	str			=       "fp16"
								self.assertTrue(is_safetensors_compatible(lowerCAmelCase__   ,      variant=lowerCAmelCase__   )   )






							def 					__a     (     self   )			->				Optional[Any]:
								a   :	Any			=       [
								    "safety_checker/pytorch_model.fp16.bin",
								    "safety_checker/model.fp16.safetensors",
								    "vae/diffusion_pytorch_model.fp16.bin",
								    "vae/diffusion_pytorch_model.fp16.safetensors",
								    "text_encoder/pytorch_model.fp16.bin",
								    # 'text_encoder/model.fp16.safetensors',
								    "unet/diffusion_pytorch_model.fp16.bin",
								    "unet/diffusion_pytorch_model.fp16.safetensors",
								]
								a   :	Optional[int]			=       "fp16"
								self.assertFalse(is_safetensors_compatible(lowerCAmelCase__   ,      variant=lowerCAmelCase__   )   )


