

from __future__ import annotations
def 		UpperCamelCase_(    snake_case__:						Tuple						,					snake_case__:						Optional[Any]     ) ->				Tuple:
 UpperCAmelCase__           =       0
 UpperCAmelCase__           =       len(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(snake_case__						,					snake_case__     )
 return sorted_list
def 		UpperCamelCase_(    snake_case__:						int						,					snake_case__:						Tuple     ) ->				List[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 		UpperCamelCase_(    snake_case__:						str     ) ->				List[str]:
 UpperCAmelCase__           =       len(snake_case__     )
 if length <= 1:
  return list_ad
 UpperCAmelCase__           =       length // 2
 return merge(sortlist_ad(list_ad[:middle]     )						,					sortlist_ad(list_ad[middle:]     )     )
def 		UpperCamelCase_(    snake_case__:						list[int]     ) ->				list[int]:

 if len(snake_case__     ) <= 1:
  return collection
 UpperCAmelCase__           =       []
 UpperCAmelCase__           =       False
 for i in range(0						,					len(snake_case__     )						,					2     ):
  if i == len(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(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(snake_case__						,					snake_case__     )
 UpperCAmelCase__           =       False
 for i in range(len(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 :]						,					snake_case__     )
  else:
   UpperCAmelCase__           =       result[: i + 1] + binary_search_insertion(result[i + 1 :]						,					snake_case__     )

 return result


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






from collections import OrderedDict
from dataclasses import fields
from typing import Any, Tuple

import numpy as np

from .import_utils import is_torch_available
def 		UpperCamelCase_(    snake_case__:						Optional[int]     ) ->				Tuple:
 if is_torch_available():
  import torch

  if isinstance(snake_case__						,					torch.Tensor     ):
   return True

 return isinstance(snake_case__						,					np.ndarray     )







class 					lowercase		( _UpperCamelCase      ):



 '''simple docstring'''


 def 						UpperCamelCase__							(self				)				->      int:






  """simple docstring"""





  UpperCAmelCase__           =       fields(self				)

  # Safety and consistency checks
  if not len(__a				):
   raise ValueError(F"{self.__class__.__name__} has no fields."				)

  UpperCAmelCase__           =       getattr(self , class_fields[0].name				)
  UpperCAmelCase__           =       all(getattr(self , field.name				) is None for field in class_fields[1:]				)

  if other_fields_are_none and isinstance(__a , __a				):
   for key, value in first_field.items():
    UpperCAmelCase__           =       value
  else:
   for field in class_fields:
    UpperCAmelCase__           =       getattr(self , field.name				)
    if v is not None:
     UpperCAmelCase__           =       v




 def __delitem__(self , *__a , **__a				)				->      Optional[int]:






  """simple docstring"""





  raise Exception(F"You cannot use ``__delitem__`` on a {self.__class__.__name__} instance."				)




 def 						UpperCamelCase__							(self , *__a , **__a				)				->      str:






  """simple docstring"""





  raise Exception(F"You cannot use ``setdefault`` on a {self.__class__.__name__} instance."				)




 def 						UpperCamelCase__							(self , *__a , **__a				)				->      Optional[int]:






  """simple docstring"""





  raise Exception(F"You cannot use ``pop`` on a {self.__class__.__name__} instance."				)




 def 						UpperCamelCase__							(self , *__a , **__a				)				->      Tuple:






  """simple docstring"""





  raise Exception(F"You cannot use ``update`` on a {self.__class__.__name__} instance."				)




 def __getitem__(self , __a				)				->      Tuple:






  """simple docstring"""





  if isinstance(__a , __a				):
   UpperCAmelCase__           =       dict(self.items()				)
   return inner_dict[k]
  else:
   return self.to_tuple()[k]




 def __setattr__(self , __a , __a				)				->      Any:






  """simple docstring"""





  if name in self.keys() and value is not None:
   # Don't call self.__setitem__ to avoid recursion errors
   super().__setitem__(__a , __a				)
  super().__setattr__(__a , __a				)




 def __setitem__(self , __a , __a				)				->      Union[str, Any]:






  """simple docstring"""





  super().__setitem__(__a , __a				)
  # Don't call self.__setattr__ to avoid recursion errors
  super().__setattr__(__a , __a				)




 def 						UpperCamelCase__							(self				)				->      Tuple[Any]:






  """simple docstring"""





  return tuple(self[k] for k in self.keys()				)



