





from __future__ import annotations



def 							lowerCAmelCase_				(    A_  ,A_):
    UpperCamelCase__:					List[str]												=      0
    UpperCamelCase__:					Optional[int]												=      len(A_) - 1
    while left <= right:
        UpperCamelCase__:					List[str]												=      (left + right) // 2
        if left == right:
            if sorted_list[middle] < item:
                UpperCamelCase__:					Optional[Any]												=      middle + 1
            break
        elif sorted_list[middle] < item:
            UpperCamelCase__:					Any												=      middle + 1
        else:
            UpperCamelCase__:					List[Any]												=      middle - 1
    sorted_list.insert(A_  ,A_)
    return sorted_list



def 							lowerCAmelCase_				(    A_  ,A_):
    UpperCamelCase__:					List[str]												=      []
    while left and right:
        if left[0][0] < right[0][0]:
            result.append(left.pop(0))
        else:
            result.append(right.pop(0))
    return result + left + right



def 							lowerCAmelCase_				(    A_):
    UpperCamelCase__:					Any												=      len(A_)
    if length <= 1:
        return list_ad
    UpperCamelCase__:					Optional[Any]												=      length // 2
    return merge(sortlist_ad(list_ad[:middle])  ,sortlist_ad(list_ad[middle:]))



def 							lowerCAmelCase_				(    A_):

    if len(A_) <= 1:
        return collection
    UpperCamelCase__:					Tuple												=      []
    UpperCamelCase__:					Tuple												=      False
    for i in range(0  ,len(A_)  ,2):
        if i == len(A_) - 1:
            UpperCamelCase__:					Any												=      True
        else:
            if collection[i] < collection[i + 1]:
                two_paired_list.append([collection[i], collection[i + 1]])
            else:
                two_paired_list.append([collection[i + 1], collection[i]])
    UpperCamelCase__:					str												=      sortlist_ad(A_)
    UpperCamelCase__:					Tuple												=      [i[0] for i in sorted_list_ad]
    result.append(sorted_list_ad[-1][1])
    if has_last_odd_item:
        UpperCamelCase__:					int												=      collection[-1]
        UpperCamelCase__:					Union[str, Any]												=      binary_search_insertion(A_  ,A_)
    UpperCamelCase__:					int												=      False
    for i in range(len(A_) - 1):
        if result[i] == collection[-1] and has_last_odd_item:
            UpperCamelCase__:					List[str]												=      True
        UpperCamelCase__:					Union[str, Any]												=      sorted_list_ad[i][1]
        # If last_odd_item is inserted before the item's index,
        # you should forward index one more.
        if is_last_odd_item_inserted_before_this_index:
            UpperCamelCase__:					Optional[int]												=      result[: i + 2] + binary_search_insertion(result[i + 2 :]  ,A_)
        else:
            UpperCamelCase__:					Union[str, Any]												=      result[: i + 1] + binary_search_insertion(result[i + 1 :]  ,A_)

    return result


if __name__ == "__main__":
   A__:  str       					=					input('''Enter numbers separated by a comma:\n''').strip()
   A__:  Dict       					=					[int(item) for item in user_input.split(''',''')]
   print(merge_insertion_sort(unsorted))








import inspect

from diffusers.utils import is_flax_available
from diffusers.utils.testing_utils import require_flax


if is_flax_available():
   import jax




@require_flax
class    _a  :

      """simple docstring"""


      def 	UpperCAmelCase_   (						self:	int			):
          '''simple docstring'''


          UpperCamelCase__							,				UpperCamelCase__:					Optional[int]												=      self.prepare_init_args_and_inputs_for_common()

          UpperCamelCase__:					Tuple												=      self.model_class(**__lowerCamelCase			)
          UpperCamelCase__:					Union[str, Any]												=      model.init(inputs_dict["prng_key"]					,  inputs_dict["sample"]			)
          jax.lax.stop_gradient(__lowerCamelCase			)

          UpperCamelCase__:					int												=      model.apply(__lowerCamelCase					,  inputs_dict["sample"]			)

          if isinstance(__lowerCamelCase					,  __lowerCamelCase			):
              UpperCamelCase__:					str												=      output.sample

          self.assertIsNotNone(__lowerCamelCase			)
          UpperCamelCase__:					Union[str, Any]												=      inputs_dict["sample"].shape
          self.assertEqual(output.shape					,  __lowerCamelCase					,  "Input and output shapes do not match"			)






      def 	UpperCAmelCase_   (						self:	Union[str, Any]			):
          '''simple docstring'''


          UpperCamelCase__							,				UpperCamelCase__:					List[str]												=      self.prepare_init_args_and_inputs_for_common()

          UpperCamelCase__:					List[Any]												=      16
          UpperCamelCase__:					int												=      (16, 32)

          UpperCamelCase__:					Tuple												=      self.model_class(**__lowerCamelCase			)
          UpperCamelCase__:					Union[str, Any]												=      model.init(inputs_dict["prng_key"]					,  inputs_dict["sample"]			)
          jax.lax.stop_gradient(__lowerCamelCase			)

          UpperCamelCase__:					Union[str, Any]												=      model.apply(__lowerCamelCase					,  inputs_dict["sample"]			)

          if isinstance(__lowerCamelCase					,  __lowerCamelCase			):
              UpperCamelCase__:					Dict												=      output.sample

          self.assertIsNotNone(__lowerCamelCase			)
          UpperCamelCase__:					Optional[Any]												=      inputs_dict["sample"].shape
          self.assertEqual(output.shape					,  __lowerCamelCase					,  "Input and output shapes do not match"			)






      def 	UpperCAmelCase_   (						self:	Tuple			):
          '''simple docstring'''


          UpperCamelCase__:					List[str]												=      "kwargs" in inspect.signature(self.model_class.__init__			).parameters
          UpperCamelCase__:					Any												=      len(self.model_class._deprecated_kwargs			) > 0

          if has_kwarg_in_model_class and not has_deprecated_kwarg:
              raise ValueError(
                  F"{self.model_class} has `**kwargs` in its __init__ method but has not defined any deprecated kwargs"
                  " under the `_deprecated_kwargs` class attribute. Make sure to either remove `**kwargs` if there are"
                  " no deprecated arguments or add the deprecated argument with `_deprecated_kwargs ="
                  " [<deprecated_argument>]`"			)

          if not has_kwarg_in_model_class and has_deprecated_kwarg:
              raise ValueError(
                  F"{self.model_class} doesn't have `**kwargs` in its __init__ method but has defined deprecated kwargs"
                  " under the `_deprecated_kwargs` class attribute. Make sure to either add the `**kwargs` argument to"
                  F" {self.model_class}.__init__ if there are deprecated arguments or remove the deprecated argument"
                  " from `_deprecated_kwargs = [<deprecated_argument>]`"			)

