1
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
A program takes as input a balanced binary search tree with n leaf nodes and computes the value of a function g(x) for each node x. If the cost of computing g(x) is min{ no. of leaf-nodes in left-subtree of x, no. of leaf-nodes in right-subtree of x } then the worst-case time complexity of the program is
A
$$\Theta (n)$$
B
$$\Theta (n \log n)$$
C
$$\Theta(n^2)$$
D
$$\Theta (n^2\log n)$$
2
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
A single array A[1..MAXSIZE] is used to implement two stacks, The two stacks grow from opposite ends of the array. Variables top1 and top2 (top1 < top2) point to the location of the topmost element in each of the stacks, If the space is to be used efficiently, the condition for "stack full" is
A
(top 1 = MAXSIZE/2) AND (top 2 = MAXSIZE/2 + 1)
B
top 1 + top 2 = MAXSIZE
C
(top 1 = MAXSIZE/2) or (top 2 = MAXSIZE)
D
top 1 = top 2 - 1
3
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Assume that the operators +, -, ×, are left associative and ^ is right associative. The order of precedence (from highest to lowest) is ^, ×, +, -. The postfix expression corresponding to the infix expression a + b×c-d^e^f is
A
abc×+def^^-
B
abc×+de^f^-
C
ab+c×d-e^f^
D
- + a×bc^^def
4
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
Let P be a singly linked list, Let Q be the pointer to an intermediate node x in the list.What is the worst-case time complexity of the best known algorithm to delete the node x from the list?
A
O(n)
B
O(log2n)
C
O(log n)
D
O(1)