


from __future__ import annotations

def       _a	(					SCREAMING_SNAKE_CASE						:					List[str]     ,			SCREAMING_SNAKE_CASE						:					Tuple  ):







 """simple docstring"""



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

def       _a	(					SCREAMING_SNAKE_CASE						:					Optional[int]     ,			SCREAMING_SNAKE_CASE						:					Optional[int]  ):







 """simple docstring"""



 UpperCamelCase__       :     int 							= []
 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       _a	(					SCREAMING_SNAKE_CASE						:					List[str]  ):







 """simple docstring"""



 UpperCamelCase__       :     Optional[int] 							= len(_a  )
 if length <= 1:
  return list_ad
 UpperCamelCase__       :     str 							= length // 2
 return merge(sortlist_ad(list_ad[:middle]  )     ,			sortlist_ad(list_ad[middle:]  )  )

def       _a	(					SCREAMING_SNAKE_CASE						:					list[int]  ):







 """simple docstring"""



 if len(_a  ) <= 1:
  return collection
 UpperCamelCase__       :     List[Any] 							= []
 UpperCamelCase__       :     List[Any] 							= False
 for i in range(0     ,			len(_a  )     ,			2  ):
  if i == len(_a  ) - 1:
   UpperCamelCase__       :     int 							= 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__       :     Optional[Any] 							= 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__       :     Any 							= collection[-1]
  UpperCamelCase__       :     int 							= binary_search_insertion(_a     ,			_a  )
 UpperCamelCase__       :     str 							= False
 for i in range(len(_a  ) - 1  ):
  if result[i] == collection[-1] and has_last_odd_item:
   UpperCamelCase__       :     Tuple 							= True
  UpperCamelCase__       :     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__       :     int 							= result[: i + 2] + binary_search_insertion(result[i + 2 :]     ,			_a  )
  else:
   UpperCamelCase__       :     str 							= result[: i + 1] + binary_search_insertion(result[i + 1 :]     ,			_a  )

 return result


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




'''simple docstring'''





from collections import Counter
from functools import total_ordering

from data_structures.heap.heap import Heap



@total_ordering
class 			lowerCAmelCase__ :



  '''simple docstring'''






  def __init__(self	:			Tuple						,			lowerCAmelCase_	:			str						,			lowerCAmelCase_	:			int     ) ->							None:
        snake_case_    							=				word
        snake_case_    							=				count

  def __eq__(self	:			List[Any]						,			lowerCAmelCase_	:			object     ) ->							bool:
        if not isinstance(lowerCAmelCase_						,			lowerCAmelCase_     ):
              return NotImplemented
        return self.count == other.count


  def __lt__(self	:			Tuple						,			lowerCAmelCase_	:			object     ) ->							bool:
        if not isinstance(lowerCAmelCase_						,			lowerCAmelCase_     ):
              return NotImplemented
        return self.count < other.count

def 	snake_case_							(				_a  :				list[str]			,       _a  :				int      ):
      snake_case_    							=				Heap()
      snake_case_    							=				Counter(_a      )
      heap.build_max_heap(
          [WordCount(_a			,       _a      ) for word, count in count_by_word.items()]      )
      return [heap.extract_max().word for _ in range(min(_a			,       len(_a      )      )      )]


if __name__ == "__main__":
     import doctest

     doctest.testmod()

