


'''simple docstring'''




import math


def    UpperCAmelCase_  (       A		,	A = 0		,	A = 0      ):
   '''simple docstring'''





   _a					:  int						=  end or len(A      )
   for i in range(A		,	A      ):
      _a					:  Optional[int]						=  i
      _a					:  Optional[int]						=  array[i]
      while temp_index != start and temp_index_value < array[temp_index - 1]:
         _a					:  str						=  array[temp_index - 1]
         temp_index -= 1
      _a					:  Union[str, Any]						=  temp_index_value
   return array


def    UpperCAmelCase_  (       A		,	A		,	A      ):  # Max Heap
   '''simple docstring'''





   _a					:  Optional[Any]						=  index
   _a					:  str						=  2 * index + 1  # Left Node
   _a					:  List[str]						=  2 * index + 2  # Right Node

   if left_index < heap_size and array[largest] < array[left_index]:
      _a					:  str						=  left_index

   if right_index < heap_size and array[largest] < array[right_index]:
      _a					:  Union[str, Any]						=  right_index

   if largest != index:
      _a		,						_a					:  Union[str, Any]						=  array[largest], array[index]
      heapify(A		,	A		,	A      )


def    UpperCAmelCase_  (       A      ):
   '''simple docstring'''





   _a					:  Optional[Any]						=  len(A      )

   for i in range(n // 2		,	-1		,	-1      ):
      heapify(A		,	A		,	A      )

   for i in range(n - 1		,	0		,	-1      ):
      _a		,						_a					:  int						=  array[0], array[i]
      heapify(A		,	0		,	A      )

   return array


def    UpperCAmelCase_  (       A		,	A		,	A		,	A      ):
   '''simple docstring'''





   if (array[first_index] > array[middle_index]) != (
       array[first_index] > array[last_index]
   ):
      return array[first_index]
   elif (array[middle_index] > array[first_index]) != (
       array[middle_index] > array[last_index]
   ):
      return array[middle_index]
   else:
      return array[last_index]


def    UpperCAmelCase_  (       A		,	A		,	A		,	A      ):
   '''simple docstring'''





   _a					:  str						=  low
   _a					:  Tuple						=  high
   while True:
      while array[i] < pivot:
         i += 1
      j -= 1
      while pivot < array[j]:
         j -= 1
      if i >= j:
         return i
      _a		,						_a					:  List[Any]						=  array[j], array[i]
      i += 1


def    UpperCAmelCase_  (       A      ):
   '''simple docstring'''





   if len(A      ) == 0:
      return array
   _a					:  Union[str, Any]						=  2 * math.ceil(math.loga(len(A      )      )      )
   _a					:  Dict						=  1_6
   return intro_sort(A		,	0		,	len(A      )		,	A		,	A      )


def    UpperCAmelCase_  (       A		,	A		,	A		,	A		,	A      ):
   '''simple docstring'''





   while end - start > size_threshold:
      if max_depth == 0:
         return heap_sort(A      )
      max_depth -= 1
      _a					:  str						=  median_of_a(A		,	A		,	start + ((end - start) // 2) + 1		,	end - 1      )
      _a					:  List[str]						=  partition(A		,	A		,	A		,	A      )
      intro_sort(A		,	A		,	A		,	A		,	A      )
      _a					:  Tuple						=  p
   return insertion_sort(A		,	A		,	A      )


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 UpperCAmelCase_      :		List[str]          =		input("Enter numbers separated by a comma : ").strip()
 UpperCAmelCase_      :		Optional[Any]          =		[float(item) for item in user_input.split(",")]
 print(sort(unsorted))






'''simple docstring'''




from ..utils import DummyObject, requires_backends







class 					a			(				metaclass=snake_case__  ):
 '''simple docstring'''




 __lowerCAmelCase						: Union[str, Any]							  =		["""note_seq"""]




 def __init__(    self		,      *lowerCamelCase_		,      **lowerCamelCase_      )      ->    int:
    requires_backends(self		,      ['note_seq']      )




 @classmethod
 def   __UpperCamelCase   (    cls		,      *lowerCamelCase_		,      **lowerCamelCase_      )      ->    Union[str, Any]:
    requires_backends(cls		,      ['note_seq']      )




 @classmethod
 def   __UpperCamelCase   (    cls		,      *lowerCamelCase_		,      **lowerCamelCase_      )      ->    List[str]:
    requires_backends(cls		,      ['note_seq']      )


