


'''simple docstring'''






import math







def 				UpperCamelCase_			(    A__					:   list							,    A__					:   int = 0							,    A__					:   int = 0					):
  '''simple docstring'''





  lowerCAmelCase_			:      Dict			=   end or len(A__					)
  for i in range(A__							,    A__					):
    lowerCAmelCase_			:      Optional[Any]			=   i
    lowerCAmelCase_			:      Optional[int]			=   array[i]
    while temp_index != start and temp_index_value < array[temp_index - 1]:
      lowerCAmelCase_			:      Optional[Any]			=   array[temp_index - 1]
      temp_index -= 1
    lowerCAmelCase_			:      List[Any]			=   temp_index_value
  return array







def 				UpperCamelCase_			(    A__					:   list							,    A__					:   int							,    A__					:   int					):  # Max Heap
  '''simple docstring'''





  lowerCAmelCase_			:      Any			=   index
  lowerCAmelCase_			:      Tuple			=   2 * index + 1  # Left Node
  lowerCAmelCase_			:      List[Any]			=   2 * index + 2  # Right Node

  if left_index < heap_size and array[largest] < array[left_index]:
    lowerCAmelCase_			:      Optional[int]			=   left_index

  if right_index < heap_size and array[largest] < array[right_index]:
    lowerCAmelCase_			:      Union[str, Any]			=   right_index

  if largest != index:
    lowerCAmelCase_,							lowerCAmelCase_			:      List[Any]			=   array[largest], array[index]
    heapify(A__							,    A__							,    A__					)







def 				UpperCamelCase_			(    A__					:   list					):
  '''simple docstring'''





  lowerCAmelCase_			:      str			=   len(A__					)

  for i in range(n // 2							,    -1							,    -1					):
    heapify(A__							,    A__							,    A__					)

  for i in range(n - 1							,    0							,    -1					):
    lowerCAmelCase_,							lowerCAmelCase_			:      Union[str, Any]			=   array[0], array[i]
    heapify(A__							,    0							,    A__					)

  return array







def 				UpperCamelCase_			(    A__					:   list							,    A__					:   int							,    A__					:   int							,    A__					:   int					):
  '''simple docstring'''





  if (array[first_index] > array[middle_index]) != (
      array[first_index] > array[last_index]
  ):
    return array[first_index]
  elif (array[middle_index] > array[first_index]) != (
      array[middle_index] > array[last_index]
  ):
    return array[middle_index]
  else:
    return array[last_index]







def 				UpperCamelCase_			(    A__					:   list							,    A__					:   int							,    A__					:   int							,    A__					:   int					):
  '''simple docstring'''





  lowerCAmelCase_			:      List[Any]			=   low
  lowerCAmelCase_			:      int			=   high
  while True:
    while array[i] < pivot:
      i += 1
    j -= 1
    while pivot < array[j]:
      j -= 1
    if i >= j:
      return i
    lowerCAmelCase_,							lowerCAmelCase_			:      Dict			=   array[j], array[i]
    i += 1







def 				UpperCamelCase_			(    A__					:   list					):
  '''simple docstring'''





  if len(A__					) == 0:
    return array
  lowerCAmelCase_			:      Optional[Any]			=   2 * math.ceil(math.loga(len(A__					)					)					)
  lowerCAmelCase_			:      List[Any]			=   16
  return intro_sort(A__							,    0							,    len(A__					)							,    A__							,    A__					)







def 				UpperCamelCase_			(    A__					:   list							,    A__					:   int							,    A__					:   int							,    A__					:   int							,    A__					:   int					):
  '''simple docstring'''





  while end - start > size_threshold:
    if max_depth == 0:
      return heap_sort(A__					)
    max_depth -= 1
    lowerCAmelCase_			:      Tuple			=   median_of_a(A__							,    A__							,    start + ((end - start) // 2) + 1							,    end - 1					)
    lowerCAmelCase_			:      int			=   partition(A__							,    A__							,    A__							,    A__					)
    intro_sort(A__							,    A__							,    A__							,    A__							,    A__					)
    lowerCAmelCase_			:      List[str]			=   p
  return insertion_sort(A__							,    A__							,    A__					)


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  __A					:  Tuple											=      input("Enter numbers separated by a comma : ").strip()
  __A					:  Dict											=      [float(item) for item in user_input.split(",")]
  print(sort(unsorted))







'''simple docstring'''






from ...configuration_utils import PretrainedConfig
from ...utils import logging


__A					:  List[Any]											=      logging.get_logger(__name__)

__A					:  Optional[Any]											=      {
    "EleutherAI/gpt-neox-20b": "https://huggingface.co/EleutherAI/gpt-neox-20b/resolve/main/config.json",
    # See all GPTNeoX models at https://huggingface.co/models?filter=gpt_neox
}






class    __snake_case       (   _SCREAMING_SNAKE_CASE):







    """simple docstring"""



    lowercase    =					'gpt_neox'

    def __init__(   self    :  Optional[int]    ,						lowerCamelCase    :  Tuple=5_04_32    ,						lowerCamelCase    :  Optional[int]=61_44    ,						lowerCamelCase    :  Tuple=44    ,						lowerCamelCase    :  Any=64    ,						lowerCamelCase    :  List[Any]=2_45_76    ,						lowerCamelCase    :  List[Any]="gelu"    ,						lowerCamelCase    :  Optional[Any]=0.25    ,						lowerCamelCase    :  Any=1_00_00    ,						lowerCamelCase    :  Any=0.0    ,						lowerCamelCase    :  str=0.0    ,						lowerCamelCase    :  Optional[int]=0.1    ,						lowerCamelCase    :  List[Any]=20_48    ,						lowerCamelCase    :  List[Any]=0.02    ,						lowerCamelCase    :  Any=1E-5    ,						lowerCamelCase    :  Dict=True    ,						lowerCamelCase    :  Optional[int]=0    ,						lowerCamelCase    :  List[str]=2    ,						lowerCamelCase    :  Dict=False    ,						lowerCamelCase    :  Tuple=True    ,						lowerCamelCase    :  Optional[int]=None    ,						**lowerCamelCase    :  int    ,						)   ->  Optional[Any]:
      super().__init__(bos_token_id=lowerCamelCase    ,						eos_token_id=lowerCamelCase    ,						**lowerCamelCase		)
      lowerCAmelCase_			:      Tuple			=   vocab_size
      lowerCAmelCase_			:      Union[str, Any]			=   max_position_embeddings
      lowerCAmelCase_			:      Any			=   hidden_size
      lowerCAmelCase_			:      List[Any]			=   num_hidden_layers
      lowerCAmelCase_			:      Optional[int]			=   num_attention_heads
      lowerCAmelCase_			:      str			=   intermediate_size
      lowerCAmelCase_			:      int			=   hidden_act
      lowerCAmelCase_			:      List[Any]			=   rotary_pct
      lowerCAmelCase_			:      Any			=   rotary_emb_base
      lowerCAmelCase_			:      List[str]			=   attention_dropout
      lowerCAmelCase_			:      Union[str, Any]			=   hidden_dropout
      lowerCAmelCase_			:      Tuple			=   classifier_dropout
      lowerCAmelCase_			:      Union[str, Any]			=   initializer_range
      lowerCAmelCase_			:      Any			=   layer_norm_eps
      lowerCAmelCase_			:      str			=   use_cache
      lowerCAmelCase_			:      str			=   tie_word_embeddings
      lowerCAmelCase_			:      str			=   use_parallel_residual
      lowerCAmelCase_			:      Any			=   rope_scaling
      self._rope_scaling_validation()

      if self.hidden_size % self.num_attention_heads != 0:
        raise ValueError(
            """The hidden size is not divisble by the number of attention heads! Make sure to update them!"""		)





    def __lowercase   (   self    :  List[str]		)   ->  List[str]:
      if self.rope_scaling is None:
        return

      if not isinstance(self.rope_scaling    ,						lowerCamelCase		) or len(self.rope_scaling		) != 2:
        raise ValueError(
            """`rope_scaling` must be a dictionary with with two fields, `name` and `factor`, """
            F'got {self.rope_scaling}'		)
      lowerCAmelCase_			:      Optional[Any]			=   self.rope_scaling.get("""type"""    ,						lowerCamelCase		)
      lowerCAmelCase_			:      int			=   self.rope_scaling.get("""factor"""    ,						lowerCamelCase		)
      if rope_scaling_type is None or rope_scaling_type not in ["linear", "dynamic"]:
        raise ValueError(
            F'`rope_scaling`\'s name field must be one of [\'linear\', \'dynamic\'], got {rope_scaling_type}'		)
      if rope_scaling_factor is None or not isinstance(lowerCamelCase    ,						lowerCamelCase		) or rope_scaling_factor <= 1.0:
        raise ValueError(F'`rope_scaling`\'s factor field must be an float > 1, got {rope_scaling_factor}'		)



