1
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
The minimum number of comparisons required to determine if an integer appears more than n/2 times in a sorted array of n integers is
A
$$\Theta \,(n)$$
B
$$\Theta \,({\log ^*}n)$$
C
$$\Theta \,({\log\,}n)$$
D
$$\Theta \,(1)$$
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
You are given the post order traversal, P, of a binary search tree on the n element, 1,2,....,n. You have to determine the unique binary search tree that has P as its post order traversal. What is the time complexity of the most efficient algorithm for doing this?
A
$$\Theta \,(\log n)$$
B
$$\Theta \,(n)$$
C
$$\Theta \,(n\log n)$$
D
None of the above, as the tree cannot be uniquely determined.
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider the following functions: F(n) = 2n
G(n) = n!
H(n) = nlogn
Which of the following statements about the asymptotic behaviour of f(n), g(n), and h(n) is true?
A
f(n) = O (g(n)); g(n) = O(h(n))
B
f(n) = $$\Omega$$ (g(n)); g(n) = O(h(n))
C
g(n) = O (f(n)); h(n) = O(f(n))
D
h(n) = O (f(n)); g(n) = $$\Omega$$ (f(n))
4
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
Which of the following describes a handle (as applicable to LR-parsing) appropriately?
A
It is the position in a sentential form where the next shift or reduce operation will occur
B
It is non-terminal whose production will be used for reduction in the next step
C
It is a production that may be used for reduction in a future step along with a position in the sentential form where the next shift or reduce operation will occur
D
It is the production p that will be used for reduction in the next step along with a position in the sentential form where the right hand side of the production may be found
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