1
GATE CSE 1994
+2
-0.6
Which one of the following statements is false?
A
Optimal binary search tree construction can be performed efficiently using dynamic programming.
B
Breadth-first search cannot be used to find connected components of a graph
C
Given the prefix and postfix walks over a binary tree, the binary tree cannot be uniquely constructed.
D
Depth-first search can be used to find connected components of a graph.
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 1994
+1
-0.3
Generation of intermediate code based on an abstract machine model is useful in compilers because
A
it makes implementation of lexical analysis and syntax analysis easier
B
syntax-directed translations can be written for intermediate code generation
C
it enhances the portability of the front end of the compiler
D
it is not possible to generate code for real machines directly from high level language programs
4
GATE CSE 1994
+2
-0.6
In a compact single dimensional array representation for lower triangular matrices (i.e all the elements above the diagonal are zero) of size n $$\times$$ n, non-zero elements (i.e., elements of the lower triangle) of each row are stored one after another, starting from the first row, the index of the (i, j)th element of the lower triangular matrix in this new representation is
A
i + j
B
i + j - 1
C
$$(j - 1) + i{{(i - 1)} \over 2}$$
D
$$i + {{j(j - 1)} \over 2}$$
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