Highest voted questions in Programming and DS / GATE Overflow for GATE CSE

81 votes

9 answers

21

GATE CSE 2013 | Question: 44
Consider the following operation along with Enqueue and Dequeue operations on queues, where $k$ is a global parameter. MultiDequeue(Q){ m = k while (Q is not empty) and (m > 0) { Dequeue(Q) m = m – 1 } } What is the worst case time complexity of a sequence of $n$ queue operations on an initially empty queue? $Θ(n)$ $Θ(n + k)$ $Θ(nk)$ $Θ(n^2)$

Consider the following operation along with Enqueue and Dequeue operations on queues, where $k$ is a global parameter.MultiDequeue(Q){ m = k while (Q is not empty) and (m...

gatecse

31.3k views

gatecse asked Aug 7, 2014

79 votes

10 answers

22

GATE CSE 2003 | Question: 23
In a min-heap with $n$ elements with the smallest element at the root, the $7^{th}$ smallest element can be found in time $\Theta (n \log n)$ $\Theta (n)$ $\Theta(\log n)$ $\Theta(1)$

In a min-heap with $n$ elements with the smallest element at the root, the $7^{th}$ smallest element can be found in time$\Theta (n \log n)$$\Theta (n)$$\Theta(\log n)$$\...

Disha

32.0k views

Disha asked Sep 19, 2014

78 votes

4 answers

23

GATE CSE 2006 | Question: 57
Consider this C code to swap two integers and these five statements: the code void swap (int *px, int *py) { *px = *px - *py; *py = *px + *py; *px = *py - *px; } S1: will generate a compilation error S2: may generate a ... procedure correctly for some but not all valid input pointers S5: may add or subtract integers and pointers S1 S2 and S3 S2 and S4 S2 and S5

Consider this C code to swap two integers and these five statements: the codevoid swap (int *px, int *py) { *px = *px - *py; *py = *px + *py; *px = *py - *px; }S1...

Rucha Shelke

21.0k views

Rucha Shelke asked Sep 26, 2014

77 votes

1 answer

24

GATE CSE 2015 Set 3 | Question: 48
Consider the following C program: #include<stdio.h> int main() { int i, j, k = 0; j=2 * 3 / 4 + 2.0 / 5 + 8 / 5; k-=--j; for (i=0; i<5; i++) { switch(i+k) { case 1: case 2: printf("\n%d", i+k); ... : printf("\n%d", i+k); default: printf("\n%d", i+k); } } return 0; } The number of times printf statement is executed is _______.

Consider the following C program:#include<stdio.h int main() { int i, j, k = 0; j=2 * 3 / 4 + 2.0 / 5 + 8 / 5; k-= j; for (i=0; i<5; i++) { switch(i+k) { case 1: case 2: ...

go_editor

22.5k views

go_editor asked Feb 16, 2015

76 votes

5 answers

25

GATE CSE 2007 | Question: 47
Consider the process of inserting an element into a $Max \: Heap$, where the $Max \: Heap$ is represented by an $array$. Suppose we perform a binary search on the path from the new leaf to the root to find the position for the newly inserted element, the number of $comparisons$ performed is: $\Theta(\log_2n)$ $\Theta(\log_2\log_2n)$ $\Theta(n)$ $\Theta(n\log_2n)$

Consider the process of inserting an element into a $Max \: Heap$, where the $Max \: Heap$ is represented by an $array$. Suppose we perform a binary search on the path fr...

Kathleen

19.5k views

Kathleen asked Sep 21, 2014

75 votes

11 answers

26

GATE CSE 1994 | Question: 1.11
In a compact single dimensional array representation for lower triangular matrices (i.e all the elements above the diagonal are zero) of size $n \times n$, non-zero elements, (i.e elements of lower triangle) of each row are stored one after another, starting from the first row, the index of the ... is: $i+j$ $i+j-1$ $(j-1)+\frac{i(i-1)}{2}$ $i+\frac{j(j-1)}{2}$

In a compact single dimensional array representation for lower triangular matrices (i.e all the elements above the diagonal are zero) of size $n \times n$, non-zero eleme...

Kathleen

28.2k views

Kathleen asked Oct 4, 2014

74 votes

6 answers

27

GATE IT 2006 | Question: 51
Which one of the choices given below would be printed when the following program is executed? #include <stdio.h> int a1[] = {6, 7, 8, 18, 34, 67}; int a2[] = {23, 56, 28, 29}; int a3[] = {-12, 27, -31}; int *x[] = {a1, a2, a3}; void print(int *a[]) { printf("%d," ... (x); } $8, -12, 7, 23, 8$ $8, 8, 7, 23, 7$ $-12, -12, 27, -31, 23$ $-12, -12, 27, -31, 56$

Which one of the choices given below would be printed when the following program is executed? #include <stdio.h int a1[] = {6, 7, 8, 18, 34, 67}; int a2[] = {23, 5...

Ishrat Jahan

12.9k views

Ishrat Jahan asked Oct 31, 2014

73 votes

10 answers

28

GATE CSE 2010 | Question: 53
A hash table of length $10$ uses open addressing with hash function $h(k) = k \: \mod \: 10$, and linear probing. After inserting $6$ ... of the key values using the same hash function and linear probing will result in the hash table shown above? $10$ $20$ $30$ $40$

A hash table of length $10$ uses open addressing with hash function $h(k) = k \: \mod \: 10$, and linear probing. After inserting $6$ values into an empty hash table, the...

go_editor

27.3k views

go_editor asked Apr 21, 2016

73 votes

5 answers

29

GATE CSE 2016 Set 2 | Question: 34
A complete binary min-heap is made by including each integer in $[1, 1023]$ exactly once. The depth of a node in the heap is the length of the path from the root of the heap to that node. Thus, the root is at depth $0$. The maximum depth at which integer $9$ can appear is _________.

A complete binary min-heap is made by including each integer in $[1, 1023]$ exactly once. The depth of a node in the heap is the length of the path from the root of the h...

Akash Kanase

25.9k views

Akash Kanase asked Feb 12, 2016

73 votes

2 answers

30

GATE CSE 2013 | Question: 42
What is the return value of $f(p,p)$, if the value of $p$ is initialized to $5$ before the call? Note that the first parameter is passed by reference, whereas the second parameter is passed by value. int f (int &x, int c) { c = c - 1; if (c==0) return 1; x = x + 1; return f(x,c) * x; }

What is the return value of $f(p,p)$, if the value of $p$ is initialized to $5$ before the call? Note that the first parameter is passed by reference, whereas the second ...

gatecse

21.2k views

gatecse asked Aug 7, 2014

72 votes

4 answers

31

GATE CSE 2015 Set 2 | Question: 33
Which one of the following hash functions on integers will distribute keys most uniformly over $10$ buckets numbered $0$ to $9$ for $i$ ranging from $0$ to $2020$? $h(i) = i^2 \text{mod } 10$ $h(i) = i^3 \text{mod } 10$ $h(i) = (11 \ast i^2) \text{mod } 10$ $h(i) = (12 \ast i^2) \text{mod } 10$

Which one of the following hash functions on integers will distribute keys most uniformly over $10$ buckets numbered $0$ to $9$ for $i$ ranging from $0$ to $2020$?$h(i) ...

go_editor

17.0k views

go_editor asked Feb 12, 2015

72 votes

9 answers

32

GATE CSE 2015 Set 2 | Question: 31
A Young tableau is a $2D$ array of integers increasing from left to right and from top to bottom. Any unfilled entries are marked with $\infty$, and hence there cannot be any entry to the right of, or below a $\infty$. The following Young tableau ... The minimum number of entries (other than $1$) to be shifted, to remove $1$ from the given Young tableau is _____.

A Young tableau is a $2D$ array of integers increasing from left to right and from top to bottom. Any unfilled entries are marked with $\infty$, and hence there cannot be...

go_editor

13.2k views

go_editor asked Feb 12, 2015

72 votes

4 answers

33

GATE CSE 2003 | Question: 2
Assume the following C variable declaration: int *A[10], B[10][10]; Of the following expressions: $A[2]$ $A[2][3]$ $B[1]$ $B[2][3]$ which will not give compile-time errors if used as left hand sides of assignment statements in a C program? I, II, and IV only II, III, and IV only II and IV only IV only

Assume the following C variable declaration:int *A[10], B[10][10];Of the following expressions:$A $$A [3]$$B $$B [3]$which will not give compile-time errors if used as le...

Kathleen

30.1k views

Kathleen asked Sep 16, 2014

71 votes

9 answers

34

GATE CSE 2019 | Question: 46
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 $T$ (ie., the number of edges in the unique path between $a$ and $b$) is (rounded off to $2$ decimal places) _________.

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 ...

Arjun

30.7k views

Arjun asked Feb 7, 2019

70 votes

13 answers

35

GATE CSE 2017 Set 2 | Question: 55
Consider the following C program. #include<stdio.h> #include<string.h> int main() { char* c="GATECSIT2017"; char* p=c; printf("%d", (int)strlen(c+2[p]-6[p]-1)); return 0; } The output of the program is _______

Consider the following C program.#include<stdio.h #include<string.h int main() { char* c="GATECSIT2017"; char* p=c; printf("%d", (int)strlen(c+2[p]-6[p]-1)); return 0; }T...

Madhav

27.9k views

Madhav asked Feb 14, 2017

68 votes

5 answers

36

GATE CSE 2017 Set 1 | Question: 55
The output of executing the following C program is _______________ . #include<stdio.h> int total(int v) { static int count = 0; while(v) { count += v&1; v >>= 1; } return count; } void main() { static int x=0; int i=5; for(; i>0; i--) { x = x + total(i); } printf("%d\n", x); }

The output of executing the following C program is _______________ .#include<stdio.h int total(int v) { static int count = 0; while(v) { count += v&1; v >>= 1; } return c...

srestha

22.4k views

srestha asked Feb 14, 2017

67 votes

14 answers

37

GATE CSE 2018 | Question: 46
The number of possible min-heaps containing each value from $\{1,2,3,4,5,6,7\}$ exactly once is _______

The number of possible min-heaps containing each value from $\{1,2,3,4,5,6,7\}$ exactly once is _______

gatecse

39.1k views

gatecse asked Feb 14, 2018

67 votes

2 answers

38

GATE IT 2005 | Question: 13
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 $f(S)$? $6$ $4$ $3$ $2$

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...

Ishrat Jahan

17.5k views

Ishrat Jahan asked Nov 3, 2014

67 votes

4 answers

39

GATE CSE 2006 | Question: 13
A scheme for storing binary trees in an array $X$ is as follows. Indexing of $X$ starts at $1$ instead of $0$. the root is stored at $X[1]$. For a node stored at $X[i]$, the left child, if any, is stored in $X[2i]$ and the right child, if any, in $X[2i+1]$. To be able to store any binary tree on n vertices the minimum size of $X$ should be $\log_2 n$ $n$ $2n+1$ $2^n-1$

A scheme for storing binary trees in an array $X$ is as follows. Indexing of $X$ starts at $1$ instead of $0$. the root is stored at $X $. For a node stored at $X[i]$, th...

Rucha Shelke

17.2k views

Rucha Shelke asked Sep 17, 2014

65 votes

9 answers

40

GATE CSE 2016 Set 1 | Question: 38
Consider the weighted undirected graph with $4$ vertices, where the weight of edge $\{i,j\}$ is given by the entry $W_{ij}$ in the matrix $W$ ... integer value of $x$, for which at least one shortest path between some pair of vertices will contain the edge with weight $x$ is ___________.

Consider the weighted undirected graph with $4$ vertices, where the weight of edge $\{i,j\}$ is given by the entry $W_{ij}$ in the matrix $W$. W=$\begin{bmatrix} 0&2 &8 &...

Sandeep Singh

24.0k views

Sandeep Singh asked Feb 12, 2016

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