





from __future__ import annotations







def  lowerCAmelCase__(		lowercase    :      Optional[int]				,       lowercase    :      List[str]			)	->      str:
  __snake_case				:			Optional[int]            =    0
  __snake_case				:			Any            =    len(lowercase			) - 1
  while left <= right:
    __snake_case				:			Tuple            =    (left + right) // 2
    if left == right:
      if sorted_list[middle] < item:
        __snake_case				:			Tuple            =    middle + 1
      break
    elif sorted_list[middle] < item:
      __snake_case				:			int            =    middle + 1
    else:
      __snake_case				:			Dict            =    middle - 1
  sorted_list.insert(lowercase				,       lowercase			)
  return sorted_list







def  lowerCAmelCase__(		lowercase    :      Any				,       lowercase    :      Optional[int]			)	->      List[Any]:
  __snake_case				:			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__(		lowercase    :      Optional[int]			)	->      Optional[Any]:
  __snake_case				:			int            =    len(lowercase			)
  if length <= 1:
    return list_ad
  __snake_case				:			List[Any]            =    length // 2
  return merge(sortlist_ad(list_ad[:middle]			)				,       sortlist_ad(list_ad[middle:]			)			)







def  lowerCAmelCase__(		lowercase    :      list[int]			)	->      list[int]:

  if len(lowercase			) <= 1:
    return collection
  __snake_case				:			List[str]            =    []
  __snake_case				:			List[str]            =    False
  for i in range(0				,       len(lowercase			)				,       2			):
    if i == len(lowercase			) - 1:
      __snake_case				:			Tuple            =    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]]			)
  __snake_case				:			List[Any]            =    sortlist_ad(lowercase			)
  __snake_case				:			str            =    [i[0] for i in sorted_list_ad]
  result.append(sorted_list_ad[-1][1]			)
  if has_last_odd_item:
    __snake_case				:			Optional[Any]            =    collection[-1]
    __snake_case				:			Tuple            =    binary_search_insertion(lowercase				,       lowercase			)
  __snake_case				:			Dict            =    False
  for i in range(len(lowercase			) - 1			):
    if result[i] == collection[-1] and has_last_odd_item:
      __snake_case				:			int            =    True
    __snake_case				:			Tuple            =    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:
      __snake_case				:			List[str]            =    result[: i + 2] + binary_search_insertion(result[i + 2 :]				,       lowercase			)
    else:
      __snake_case				:			List[Any]            =    result[: i + 1] + binary_search_insertion(result[i + 1 :]				,       lowercase			)

  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))








def  lowerCAmelCase__(		lowercase    :      int = 10**6			)	->      int:

  if n <= 0:
    raise ValueError("Please enter an integer greater than 0"			)

  __snake_case				:			List[Any]            =    list(range(n + 1			)			)
  for number in range(2				,       n + 1			):
    if phi[number] == number:
      phi[number] -= 1
      for multiple in range(number * 2				,       n + 1				,       lowercase			):
        __snake_case				:			Optional[int]            =    (phi[multiple] // number) * (number - 1)

  __snake_case				:			List[Any]            =    1
  for number in range(1				,       n + 1			):
    if (answer / phi[answer]) < (number / phi[number]):
      __snake_case				:			List[str]            =    number

  return answer


if __name__ == "__main__":
     print(solution())

