1
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
The usual $$\Theta ({n^2})$$ implementation of Insertion Sort to sort an array uses linear search to identify the position where an element is to be inserted into the already sorted part of the array. If, instead, we use binary search to identify the position, the worst case running time will
A
remain $$\Theta ({n^2})$$
B
become $$\Theta (n{(\log \,n)^2})$$
C
become $$\Theta (n\log \,n)$$
D
become $$\Theta (n)$$
2
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
In a heap with n elements with the smallest element at the root, the 7th smallest element can be found in time
A
$$\Theta (n \log n)$$
B
$$\Theta (n)$$
C
$$\Theta(\log n)$$
D
$$\Theta(1)$$
3
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
Assume that the SLR parser for a grammar G has n1 states and the LALR parser for G has n2 states. The relationship between n1 and n2 is
A
n1 is necessarily less than n2
B
n1 is necessarily equal to n2
C
n1 is necessarily greater than n2
D
None of the above
4
GATE CSE 2003
MCQ (Single Correct Answer)
+2
-0.6

Consider the grammar shown below.

$$\eqalign{ & S \to CC \cr & C \to cC\,|\,d \cr} $$

This grammar is

A
LL(1)
B
SLR(1) but not LL(1)
C
LALR(1) but not SLR(1)
D
LR(1) but not LALR(1)