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)

Category: QuestionsWhat 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)
Editor">Editor Staff asked 4 weeks ago

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.

1 Answers
Editor">Editor Staff answered 4 weeks ago

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.