1
GATE CSE 1996
+2
-0.6
The recurrence relation
T(1) = 2
T(n) = 3T(n/4) + n
has the solution, T(n) equals to
A
O(n)
B
O(log n)
C
O(n^3/4)
D
None of the above
2
GATE CSE 1994
+2
-0.6
The recurrence relation that arises in relation with the complexity of binary search is:
A
$$T(n) = 2T\left(\frac{n}{2}\right)+k, \text{ k is a constant }$$
B
$$T(n) = T\left(\frac{n}{2}\right)+k, \text{ k is a constant }$$
C
$$T(n) = T\left(\frac{n}{2}\right)+\log n$$
D
$$T(n) = T\left(\frac{n}{2}\right)+n$$
3
GATE CSE 1992
Subjective
+2
-0
Assume that the last element of the set is used as partition element in Quicksort. If n distinct elements from the set [1…n] are to be sorted, give an input for which Quicksort takes maximum time.
4
GATE CSE 1987
+2
-0.6
Let P be a quicksort program to sort numbers in ascending order. Let t1 and t2 be the time taken by the program for the inputs [1 2 3 4] and [5 4 3 2 1], respectively. Which of the following holds?
A
t1 = t2
B
t1 > t2
C
t1 < t2
D
t1= t2 + 5 log 5
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization
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