Question

What will be the time complexity of delete operation if all the candidates are evenly spaced so that each bin has constant no. of candidates? (m = number of bins intersecting candidate intersects)

(a) O(1)

(b) O(m)

(c) O(m^2)

(d) O(log m)

This interesting question is from Trees topic in chapter Trees of Data Structures & Algorithms I

I had been asked this question in my homework.

Answer 1

Right option is (b) O(m)

The best I can explain: The process of deletion becomes faster in a case when the number of candidates are equally distributed among the bins. In such a case the query operation becomes O(m). It is practically slower than insertion in this case.