





"""simple docstring"""




def    _SCREAMING_SNAKE_CASE	(			_lowercase		:					list[list]      )				->list[list]:






	'''simple docstring'''






	a   :	Union[str, Any]			=       current_set.copy()
	for row_index, row in enumerate(_lowercase      ):
		a   :	Optional[int]			=       row[0]
		for column_index, column in enumerate(_lowercase      ):
			if magnitude == 0:
				a   :	Optional[Any]			=       column
				continue
			a   :	str			=       column / magnitude
    # Subtract to cancel term
	a   :	Union[str, Any]			=       current_set[0]
	a   :	Optional[Any]			=       [first_row]
	a   :	List[Any]			=       current_set[1::]
	for row in current_set:
		a   :	Any			=       []
		# If first term is 0, it is already in form we want, so we preserve it
		if row[0] == 0:
			final_set.append(_lowercase      )
			continue
		for column_index in range(len(_lowercase      )      ):
			temp_row.append(first_row[column_index] - row[column_index]      )
		final_set.append(_lowercase      )
	# Create next recursion iteration set
	if len(final_set[0]      ) != 3:
		a   :	Tuple			=       final_set[0]
		a   :	Any			=       []
		a   :	str			=       []
		for row in final_set[1::]:
			current_first_column.append(row[0]      )
			next_iteration.append(row[1::]      )
		a   :	List[str]			=       simplify(_lowercase      )
		for i in range(len(_lowercase      )      ):
			resultant[i].insert(0					, current_first_column[i]      )
		resultant.insert(0					, _lowercase      )
		a   :	Union[str, Any]			=       resultant
	return final_set






def    _SCREAMING_SNAKE_CASE	(			_lowercase		:					list[list]      )				->list:






	'''simple docstring'''






	if len(_lowercase      ) == 0:
		raise IndexError("solve_simultaneous() requires n lists of length n+1"      )
	a   :	Optional[int]			=       len(_lowercase      ) + 1
	if any(len(_lowercase      ) != _length for item in equations      ):
		raise IndexError("solve_simultaneous() requires n lists of length n+1"      )
	for row in equations:
		if any(not isinstance(_lowercase					, (int, float)      ) for column in row      ):
			raise ValueError("solve_simultaneous() requires lists of integers"      )
	if len(_lowercase      ) == 1:
		return [equations[0][-1] / equations[0][0]]
	a   :	Tuple			=       equations.copy()
	if any(0 in row for row in data_set      ):
		a   :	List[str]			=       data_set.copy()
		a   :	List[str]			=       []
		for row_index, row in enumerate(_lowercase      ):
			if 0 not in row:
				a   :	List[Any]			=       data_set.pop(_lowercase      )
				break
		if not full_row:
			raise ValueError("solve_simultaneous() requires at least 1 full equation"      )
		data_set.insert(0					, _lowercase      )
	a   :	int			=       data_set.copy()
	a   :	List[str]			=       simplify(_lowercase      )
	a   :	Tuple			=       simplified[::-1]
	a   :	list			=       []
	for row in simplified:
		a   :	str			=       row[-1]
		if not solutions:
			if row[-2] == 0:
				solutions.append(0      )
				continue
			solutions.append(current_solution / row[-2]      )
			continue
		a   :	Optional[Any]			=       row.copy()[: len(_lowercase      ) - 1 :]
		while temp_row[0] == 0:
			temp_row.pop(0      )
		if len(_lowercase      ) == 0:
			solutions.append(0      )
			continue
		a   :	Dict			=       temp_row[1::]
		a   :	Union[str, Any]			=       temp_row[::-1]
		for column_index, column in enumerate(_lowercase      ):
			current_solution -= column * solutions[column_index]
		solutions.append(_lowercase      )
	a   :	List[Any]			=       []
	for item in solutions:
		final.append(float(round(_lowercase					, 5      )      )      )
	return final[::-1]


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	a		:				Tuple  			=    [
	    [2, 1, 1, 1, 1, 4],
	    [1, 2, 1, 1, 1, 5],
	    [1, 1, 2, 1, 1, 6],
	    [1, 1, 1, 2, 1, 7],
	    [1, 1, 1, 1, 2, 8],
	]
	print(solve_simultaneous(eq))
	print(solve_simultaneous([[4, 2]]))









"""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__   )   )


