1
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider the following C - function:
double foo(int n){
 int i;
 double sum;
 if(n == 0) return 1.0;
 sum = 0.0;
 for (i = 0; i < n; i++){
  sum += foo(i);
 }
 return sum;
}
The space complexity of the above function is:
A
O(1)
B
O(n)
C
O(n!)
D
O(nn)
2
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
A Priority-Queue is implemented as a Max-Heap. Initially, it has 5 elements. The level-order traversal of the heap is given below:
10, 8, 5, 3, 2
Two new elements '1' and '7' are inserted in the heap in that order, The level order traversal of the heap after the insertion of the elements is:
A
10, 8, 7, 5, 3, 2, 1
B
10, 8, 7, 2, 3, 1, 5
C
10, 8, 7, 1, 2, 3, 5
D
10, 8, 7, 3, 2, 1, 5
3
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6

Consider the following expression grammar. The seman­tic rules for expression calculation are stated next to each grammar production.

$$\eqalign{ & E \to number\,\,\,\,\,E.val = number.val \cr & \,\,\,\,\,\,\,\,\,\,\,|E\,\,' + '\,\,E\,\,\,\,\,\,{E^{\left( 1 \right)}}.val = {E^{\left( 2 \right)}}.val + {E^{\left( 3 \right)}}.val \cr & \,\,\,\,\,\,\,\,\,\,\,|\,E\,\,' \times '\,\,E\,\,\,\,\,\,\,{E^{\left( 1 \right)}}.val = {E^{\left( 2 \right)}}.val \times {E^{\left( 3 \right)}}.val \cr} $$

The above grammar and the semantic rules are fed to a yacc tool (which is an LALR (1) parser generator) for parsing and evaluating arithmetic expressions. Which one of the following is true about the action of yacc for the given grammar?

A
It detects recursion and eliminates recursion
B
It detects reduce-reduce conflict, and resolves
C
It detects shift-reduce conflict, and resolves the conflict in favor of a shift over a reduce action
D
It detects shift-reduce conflict, and resolves the conflict in favor of a reduce over a shift action
4
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6

Consider the grammar

$$E \to E + n\,|\,E \times n\,|\,n$$

For a sentence n + n × n, the handles in the right-sentential form of the reduction are

A
n, E + n and E + n × n
B
n, E + n and E + E × n
C
n, n + n and n + n × n
D
n, E + n and E × n