1
GATE CSE 2021 Set 1
+2
-0.67

Consider the following statements.

S1 : The sequence of procedure calls corresponds to a preorder traversal of the activation tree.

S2 : The sequence of procedure returns corresponds to a postorder traversal of the activation tree.

Which one of the following options is correct?

A
S1 is true and S2 is true
B
S1 is false and S2 is true
C
S1 is false and S2 is false
D
S1 is true and S2 is false
2
GATE CSE 2020
+2
-0.67
In a balanced binary search tree with n elements, what is the worst case time complexity of reporting all elements in range [a, b]? Assume that the number of reported elements is k.
A
$$\Theta \left( {\log n} \right)$$
B
$$\Theta \left( {\log n + k} \right)$$
C
$$\Theta \left( {k\log n} \right)$$
D
$$\Theta \left( {n\log k} \right)$$
3
GATE CSE 2020
Numerical
+2
-0.67
Consider the array representation of a binary min-heap containing 1023 elements. The minimum number of comparisons required to find the maximum in the heap is _______.
4
GATE CSE 2019
Numerical
+2
-0.67
Let T be a full binary tree with 8 leaves. (A full binary tree has every level full). Suppose two leaves a and b of T are chosen uniformly and independently at random. The expected value of the distance between a and b in T (i.e., the number of edges in the unique path between a and b) is (rounded off to 2 decimal places) _____.
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