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GATE | GATE-IT-2004 | Question 58
Consider a list of recursive algorithms and a list of recurrence relations as shown below. Each recurrence relation corresponds to exactly one algorithm and is used to derive the time complexity of the algorithm.
| Recursive Algorithm | Recurrence Relation | ||
|---|---|---|---|
| P. | Binary search | I. | T(n) = T(n-k) + T(k) + cn |
| Q. | Merge sort | II. | T(n) = 2T(n-1) + 1 |
| R. | Quick sort | III. | T(n) = 2T(n/2) + cn |
| S. | Tower of Hanoi | IV. | T(n) = T(n/2) + 1 |
(A)
P-II, Q-III, R-IV, S-I
(B)
P-IV, Q-III, R-I, S-II
(C)
P-III, Q-II, R-IV, S-I
(D)
P-IV, Q-II, R-I, S-III
Answer
Please comment below if you find anything wrong in the above post
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