1
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
A function f defined on stacks of integers satisfies the following properties. f(∅) = 0 and f (push (S, i)) = max (f(S), 0) + i for all stacks S and integers i. If a stack S contains the integers 2, -3, 2, -1, 2 in order from bottom to top, what is f(S)?
A
6
B
4
C
3
D
2
2
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
How many distinct binary search trees can be created out of 4 distinct keys?
A
5
B
14
C
24
D
42
3
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
The numbers 1, 2, ........, n are inserted in a binary search tree in some order. In the resulting tree, the right subtree of the root contains p nodes. The first number to be inserted in the tree must be
A
p
B
p + 1
C
n – p
D
n – p + 1
4
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