1
GATE CSE 2011
MCQ (Single Correct Answer)
+2
-0.6
We are given a set of n distinct elements and an unlabeled binary tree with n nodes. In how many ways can we populate the tree with the given set so that it becomes a binary search tree?
A
0
B
1
C
n!
D
(1/n+1) * 2nCn
2
GATE CSE 2009
MCQ (Single Correct Answer)
+2
-0.6
What is the maximum height of any AVL-tree with 7 nodes? Assume that the height of a tree with a single node is 0.
A
2
B
3
C
4
D
5
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
You are given the postorder traversal, P, of a binary search tree on the n elements 1, 2,..........., n. You have to determine the unique binary search tree that has P as its postorder traversal. What is the time complexity of the most efficient algorithm for doing this?
A
O(Logn)
B
O(n)
C
O(nLogn)
D
none of the above, as the tree cannot be uniquely determined.
4
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
How many distinct BSTs can be constructed with 3 distinct keys?
A
4
B
5
C
6
D
9
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