


"""simple docstring"""







def  a__      (    SCREAMING_SNAKE_CASE   :   list[list]    ):


  '''simple docstring'''







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


  '''simple docstring'''







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


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     lowerCAmelCase__				    =       [
         [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 				SCREAMING_SNAKE_CASE__    (		unittest.TestCase    ):
       """simple docstring"""


       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					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(snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					Dict								=							[
             "unet/diffusion_pytorch_model.bin",
             "unet/diffusion_pytorch_model.safetensors",
         ]
         self.assertTrue(is_safetensors_compatible(snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					Optional[Any]								=							[
             "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(snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					List[str]								=							[
             "text_encoder/pytorch_model.bin",
             "text_encoder/model.safetensors",
         ]
         self.assertTrue(is_safetensors_compatible(snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					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(snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					List[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",
         ]
         lowerCAmelCase					:					Union[str, Any]								=							"fp16"
         self.assertTrue(is_safetensors_compatible(snake_case__		,					variant=snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					Optional[int]								=							[
             "unet/diffusion_pytorch_model.fp16.bin",
             "unet/diffusion_pytorch_model.fp16.safetensors",
         ]
         lowerCAmelCase					:					Tuple								=							"fp16"
         self.assertTrue(is_safetensors_compatible(snake_case__		,					variant=snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					List[Any]								=							[
             "unet/diffusion_pytorch_model.bin",
             "unet/diffusion_pytorch_model.safetensors",
         ]
         lowerCAmelCase					:					Union[str, Any]								=							"fp16"
         self.assertTrue(is_safetensors_compatible(snake_case__		,					variant=snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					List[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",
             # Removed: 'unet/diffusion_pytorch_model.fp16.safetensors',
         ]
         lowerCAmelCase					:					Dict								=							"fp16"
         self.assertFalse(is_safetensors_compatible(snake_case__		,					variant=snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					str								=							[
             "text_encoder/pytorch_model.fp16.bin",
             "text_encoder/model.fp16.safetensors",
         ]
         lowerCAmelCase					:					int								=							"fp16"
         self.assertTrue(is_safetensors_compatible(snake_case__		,					variant=snake_case__						)						)

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					str								=							[
             "text_encoder/pytorch_model.bin",
             "text_encoder/model.safetensors",
         ]
         lowerCAmelCase					:					Tuple								=							"fp16"
         self.assertTrue(is_safetensors_compatible(snake_case__		,					variant=snake_case__						)						)







       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					int								=							[
             "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",
         ]
         lowerCAmelCase					:					List[Any]								=							"fp16"
         self.assertFalse(is_safetensors_compatible(snake_case__		,					variant=snake_case__						)						)





