

'''simple docstring'''




from __future__ import annotations


def  lowerCamelCase__						(  SCREAMING_SNAKE_CASE :				Optional[Any]    ,				SCREAMING_SNAKE_CASE :				Tuple  ):
  UpperCAmelCase  							=		0
  UpperCAmelCase  							=		len(SCREAMING_SNAKE_CASE  ) - 1
  while left <= right:
    UpperCAmelCase  							=		(left + right) // 2
    if left == right:
      if sorted_list[middle] < item:
        UpperCAmelCase  							=		middle + 1
      break
    elif sorted_list[middle] < item:
      UpperCAmelCase  							=		middle + 1
    else:
      UpperCAmelCase  							=		middle - 1
  sorted_list.insert(SCREAMING_SNAKE_CASE    ,				SCREAMING_SNAKE_CASE  )
  return sorted_list


def  lowerCamelCase__						(  SCREAMING_SNAKE_CASE :				str    ,				SCREAMING_SNAKE_CASE :				Any  ):
  UpperCAmelCase  							=		[]
  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__						(  SCREAMING_SNAKE_CASE :				Dict  ):
  UpperCAmelCase  							=		len(SCREAMING_SNAKE_CASE  )
  if length <= 1:
    return list_ad
  UpperCAmelCase  							=		length // 2
  return merge(sortlist_ad(list_ad[:middle]  )    ,				sortlist_ad(list_ad[middle:]  )  )


def  lowerCamelCase__						(  SCREAMING_SNAKE_CASE :				list[int]  ):

  if len(SCREAMING_SNAKE_CASE  ) <= 1:
    return collection
  UpperCAmelCase  							=		[]
  UpperCAmelCase  							=		False
  for i in range(0    ,				len(SCREAMING_SNAKE_CASE  )    ,				2  ):
    if i == len(SCREAMING_SNAKE_CASE  ) - 1:
      UpperCAmelCase  							=		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  							=		sortlist_ad(SCREAMING_SNAKE_CASE  )
  UpperCAmelCase  							=		[i[0] for i in sorted_list_ad]
  result.append(sorted_list_ad[-1][1]  )
  if has_last_odd_item:
    UpperCAmelCase  							=		collection[-1]
    UpperCAmelCase  							=		binary_search_insertion(SCREAMING_SNAKE_CASE    ,				SCREAMING_SNAKE_CASE  )
  UpperCAmelCase  							=		False
  for i in range(len(SCREAMING_SNAKE_CASE  ) - 1  ):
    if result[i] == collection[-1] and has_last_odd_item:
      UpperCAmelCase  							=		True
    UpperCAmelCase  							=		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  							=		result[: i + 2] + binary_search_insertion(result[i + 2 :]    ,				SCREAMING_SNAKE_CASE  )
    else:
      UpperCAmelCase  							=		result[: i + 1] + binary_search_insertion(result[i + 1 :]    ,				SCREAMING_SNAKE_CASE  )

  return result


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





'''simple docstring'''




from typing import TypeVar

from .arrow_dataset import Dataset, _split_by_node_map_style_dataset
from .iterable_dataset import IterableDataset, _split_by_node_iterable_dataset


_a			:	Optional[int]								=  TypeVar('DatasetType', Dataset, IterableDataset)


def  lowerCamelCase__						(  SCREAMING_SNAKE_CASE :				DatasetType    ,				SCREAMING_SNAKE_CASE :				int    ,				SCREAMING_SNAKE_CASE :				int  ):
  if isinstance(SCREAMING_SNAKE_CASE    ,				SCREAMING_SNAKE_CASE  ):
    return _split_by_node_map_style_dataset(SCREAMING_SNAKE_CASE    ,				rank=SCREAMING_SNAKE_CASE    ,				world_size=SCREAMING_SNAKE_CASE  )
  else:
    return _split_by_node_iterable_dataset(SCREAMING_SNAKE_CASE    ,				rank=SCREAMING_SNAKE_CASE    ,				world_size=SCREAMING_SNAKE_CASE  )


