






def 		_a					(   a				:list			,							a				:int			,							a				:int				)							->    None:
 if right <= left:
  return
 a							=   a							=   left
 a							=   right
 a							=   sorting[left]
 while i <= b:
  if sorting[i] < pivot:
   a						,  a							=   sorting[i], sorting[a]
   a += 1
   i += 1
  elif sorting[i] > pivot:
   a						,  a							=   sorting[i], sorting[b]
   b -= 1
  else:
   i += 1
 quick_sort_apartition(a			,							a			,							a - 1				)
 quick_sort_apartition(a			,							b + 1			,							a				)
def 		_a					(   a				:list			,							a				:int			,							a				:int				)							->    None:
 if left < right:
  a							=   lomuto_partition(a			,							a			,							a				)
  quick_sort_lomuto_partition(a			,							a			,							pivot_index - 1				)
  quick_sort_lomuto_partition(a			,							pivot_index + 1			,							a				)
def 		_a					(   a				:list			,							a				:int			,							a				:int				)							->    int:
 a							=   sorting[right]
 a							=   left
 for i in range(a			,							a				):
  if sorting[i] < pivot:
   a						,  a							=   sorting[i], sorting[store_index]
   store_index += 1
 a						,  a							=   sorting[store_index], sorting[right]
 return store_index
def 		_a					(   a				:list				)							->    list:
 if len(a				) <= 1:
  return sorting
 return (
     three_way_radix_quicksort([i for i in sorting if i < sorting[0]]				)
     + [i for i in sorting if i == sorting[0]]
     + three_way_radix_quicksort([i for i in sorting if i > sorting[0]]				)
 )


if __name__ == "__main__":
    import doctest

    doctest.testmod(verbose=True)

    UpperCAmelCase__            =	input("Enter numbers separated by a comma:\n").strip()
    UpperCAmelCase__            =	[int(item) for item in user_input.split(",")]
    quick_sort_apartition(unsorted, 0, len(unsorted) - 1)
    print(unsorted)










def 		_a					(   a				:int				)							->    int:
 if not isinstance(a			,							a				):
  raise TypeError('''recursive_lucas_number accepts only integer arguments.'''				)
 if n_th_number == 0:
  return 2
 if n_th_number == 1:
  return 1

 return recursive_lucas_number(n_th_number - 1				) + recursive_lucas_number(
     n_th_number - 2				)
def 		_a					(   a				:int				)							->    int:
 if not isinstance(a			,							a				):
  raise TypeError('''dynamic_lucas_number accepts only integer arguments.'''				)
 a						,  a							=   2, 1
 for _ in range(a				):
  a						,  a							=   b, a + b
 return a


if __name__ == "__main__":
     from doctest import testmod

     testmod()
     UpperCAmelCase__            =	int(input("Enter the number of terms in lucas series:\n").strip())
     print("Using recursive function to calculate lucas series:")
     print(" ".join(str(recursive_lucas_number(i)) for i in range(n)))
     print("\nUsing dynamic function to calculate lucas series:")
     print(" ".join(str(dynamic_lucas_number(i)) for i in range(n)))


