What is the time complexity for searching k+1 auxiliary trees?

Category: QuestionsWhat is the time complexity for searching k+1 auxiliary trees?
Editor">Editor Staff asked 4 weeks ago

What is the time complexity for searching k+1 auxiliary trees?
 
(a) k+2 O (log (log n))
 
(b) k+1 O (log n)
 
(c) K+2 O (log n)
 
(d) k+1 O (log (log n))
 
I’d like to ask this question from Binary Trees topic in division Binary Trees of Data Structures & Algorithms I
 
I had been asked this question in an interview for internship.

1 Answers
Editor">Editor Staff answered 4 weeks ago

The correct option is (d) k+1 O (log (log n))
 
The best I can explain: Since each search operation in the auxiliary tree takes O (log (log n)) time as auxiliary tree size is bounded by the height of the reference tree that is log n. So for k+1 auxiliary trees, total search time is k+1 O (log (log n)).