1
GATE CSE 2020
MCQ (More than One Correct Answer)
+1
-0.33
What is the worst case time complexity of inserting n elements into an empty linked list, if the linked list needs to be maintained in sorted order?
A
$$\Theta \left( {{n^2}} \right)$$
B
$$\Theta \left( n \right)$$
C
$$\Theta \left( {nlogn} \right)$$
D
$$\Theta \left( 1 \right)$$
2
GATE CSE 2020
Numerical
+1
-0.33
Consider a double hashing scheme in which the primary hash function is
h1(k)=k mod 23, and the secondary hash function is h2(k)=1+(k mod 19).
Assume that the table size is 23. Then the address returned by probe 1 in the probe sequence (assume that the probe sequence begins at probe 0) for key value k=90 is _______.
Your input ____
3
GATE CSE 2020
Numerical
+1
-0.33
Consider the following C program.

#include < stdio.h >
int main () {
    int a [4] [5] = {{1, 2, 3, 4, 5},
                           {6, 7, 8, 9, 10},
                           {11, 12, 13, 14, 15},
                           {16, 17, 18, 19, 20}};
    printf (“%d\n”, *(*(a+**a+2) +3));
    return (0);
}


The output of the program is _______.
Your input ____
4
GATE CSE 2020
MCQ (Single Correct Answer)
+2
-0.67
Let G = (V, E) be a directed, weighted graph with weight function w: E $$ \to $$ R. For some function f: V $$ \to $$ R, for each edge (u, v) $$ \in $$ E, define w'(u, v) as w(u, v) + f(u) - f(v).

Which one of the options completes the following sentence so that it is TRUE?
“The shortest paths in G under w are shortest paths under w’ too, _______”.
A
for every f : V $$ \to $$ R
B
if and only if $$\forall u \in V$$, f(u) is positive
C
if and only if $$\forall u \in V$$, f(u) is negative
D
f and only if f(u) is the distance from s to u in the graph obtained by adding a new vertex s to G and edges of zero weight from s to every vertex of G
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