Hot questions in Programming & DS

+68 votes

12 answers

1

GATE2016-2-40
The number of ways in which the numbers $1, 2, 3, 4, 5, 6, 7$ can be inserted in an empty binary search tree, such that the resulting tree has height $6$, is _________. Note: The height of a tree with a single node is $0$.

asked Feb 12, 2016 in DS by Akash Kanase Boss (42.8k points) | 8.2k views

+3 votes

1 answer

2

what is the difference between type conversion and type casting in c ?

asked May 10, 2016 in Programming by Vivek Jain Junior (819 points) | 15.7k views

+67 votes

5 answers

3

GATE2007-IT-29
When searching for the key value $60$ in a binary search tree, nodes containing the key values $10, 20, 40, 50, 70, 80, 90$ are traversed, not necessarily in the order given. How many different orders are possible in which these key values can occur on the search path from the root to the node containing the value $60$? $35$ $64$ $128$ $5040$

asked Oct 30, 2014 in DS by Ishrat Jahan Boss (19.1k points) | 7k views

+57 votes

9 answers

4

GATE2016-1-41
Let $Q$ denote a queue containing sixteen numbers and $S$ be an empty stack. $Head(Q)$ returns the element at the head of the queue $Q$ without removing it from $Q$. Similarly $Top(S)$ returns the element at the top of $S$ without removing it from $S$. Consider ... Pop(S); Enqueue (Q, x); end end The maximum possible number of iterations of the while loop in the algorithm is _______.

asked Feb 12, 2016 in DS by Sandeep Singh Loyal (7.8k points) | 6.2k views

+23 votes

8 answers

5

GATE2017-2-55
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 _______

asked Feb 14, 2017 in Programming by Madhav Active (2k points) | 5.7k views

+45 votes

5 answers

6

GATE2008-46
You are given the postorder traversal, $P$, of a binary search tree on the $n$ elements $1, 2, \dots, n$. 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? $\Theta(\log n)$ $\Theta(n)$ $\Theta(n\log n)$ None of the above, as the tree cannot be uniquely determined

asked Sep 12, 2014 in DS by Kathleen Veteran (59.5k points) | 7.4k views

+25 votes

4 answers

7

GATE2017-1-36
Consider the C functions foo and bar given below: int foo(int val) { int x=0; while(val > 0) { x = x + foo(val--); } return val; } int bar(int val) { int x = 0; while(val > 0) { x= x + ... (3)$ will result in: Return of $6$ and $6$ respectively. Infinite loop and abnormal termination respectively. Abnormal termination and infinite loop respectively. Both terminating abnormally.

asked Feb 14, 2017 in Programming by Arjun Veteran (357k points) | 4.7k views

+27 votes

3 answers

8

GATE2017-1-55
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); }

asked Feb 14, 2017 in Programming by srestha Veteran (95.9k points) | 4.4k views

+41 votes

7 answers

9

GATE2017-1-08
Consider the C code fragment given below. typedef struct node { int data; node* next; } node; void join(node* m, node* n) { node* p = n; while(p->next != NULL) { p = p->next; } p->next = m; } Assuming that m and n point to valid NULL- ... or append list m to the end of list n. cause a null pointer dereference for all inputs. append list n to the end of list m for all inputs.

asked Feb 14, 2017 in DS by khushtak Loyal (7.7k points) | 5.7k views

+14 votes

3 answers

10

Find address of element in 3d array
A is an array $[2.....6, 2.....8, 2.......10]$ of elements. The starting location is $500$. The location of an element $A(5, 5, 5)$ using column major order is __________.

asked Dec 4, 2015 in DS by shikharV Active (4.2k points) | 7.9k views

+40 votes

5 answers

11

GATE2016-2-34
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 _________.

asked Feb 12, 2016 in DS by Akash Kanase Boss (42.8k points) | 4.1k views

+38 votes

6 answers

12

GATE2016-2-15
$N$ items are stored in a sorted doubly linked list. For a delete operation, a pointer is provided to the record to be deleted. For a decrease-key operation, a pointer is provided to the record on which the operation is to be performed. An algorithm performs the following operations on the ... operations put together? $O(\log^{2} N)$ $O(N)$ $O(N^{2})$ $\Theta\left(N^{2}\log N\right)$

asked Feb 12, 2016 in DS by Akash Kanase Boss (42.8k points) | 6.4k views

+31 votes

6 answers

13

GATE2010-53
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 table is shown as below $0$ $1$ $2$ $42$ $3$ $23$ $4$ $34$ $5$ $52$ $6$ ... sequences of the key values using the same hash function and linear probing will result in the hash table shown above? $10$ $20$ $30$ $40$

asked Apr 21, 2016 in DS by jothee Veteran (101k points) | 4.2k views

+20 votes

10 answers

14

GATE2017-1-35
Consider the following two functions. void fun1(int n) { if(n == 0) return; printf("%d", n); fun2(n - 2); printf("%d", n); } void fun2(int n) { if(n == 0) return; printf("%d", n); fun1(++n); printf("%d", n); } The output printed when $\text{fun1}(5)$ is called is $53423122233445$ $53423120112233$ $53423122132435$ $53423120213243$

asked Feb 14, 2017 in Programming by Arjun Veteran (357k points) | 3.5k views

+15 votes

7 answers

15

GATE2017-2-13
A circular queue has been implemented using a singly linked list where each node consists of a value and a single pointer pointing to the next node. We maintain exactly two external pointers FRONT and REAR pointing to the front node and the rear node of the queue, respectively. Which of ... node points to the front node. (I) only. (II) only. Both (I) and (II). Neither (I) nor (II).

asked Feb 14, 2017 in DS by Madhav Active (2k points) | 6k views

+29 votes

5 answers

16

GATE2003-23
In a min-heap with $n$ elements with the smallest element at the root, the $7^{th}$ smallest element can be found in time $\Theta (n \log n)$ $\Theta (n)$ $\Theta(\log n)$ $\Theta(1)$

asked Sep 19, 2014 in DS by Disha (121 points) | 5.9k views

+17 votes

2 answers

17

GATE2009-37,ISRO-DEC2017-55
What is the maximum height of any AVL-tree with $7$ nodes? Assume that the height of a tree with a single node is $0$. $2$ $3$ $4$ $5$

asked Sep 22, 2014 in DS by Kathleen Veteran (59.5k points) | 6.4k views

+48 votes

8 answers

18

GATE2014-3-39
Suppose we have a balanced binary search tree $T$ holding $n$ numbers. We are given two numbers $L$ and $H$ and wish to sum up all the numbers in $T$ that lie between $L$ and $H$. Suppose there are $m$ such numbers in $T$. If the tightest upper bound on the time to compute the sum is $O(n^a\log^bn+m^c\log^dn)$, the value of $a+10b+100c+1000d$ is ______.

asked Sep 28, 2014 in DS by jothee Veteran (101k points) | 6.3k views

+21 votes

10 answers

19

GATE2016-1-35
What will be the output of the following $C$ program? void count (int n) { static int d=1; printf ("%d",n); printf ("%d",d); d++; if (n>1) count (n-1); printf ("%d",d); } void main(){ count (3); } $3 \ 1 \ 2 \ 2 \ 1 \ 3 \ 4 \ 4 \ 4$ $3 \ 1 \ 2 \ 1 \ 1 \ 1 \ 2 \ 2 \ 2$ $3 \ 1 \ 2 \ 2 \ 1 \ 3 \ 4$ $3 \ 1 \ 2 \ 1 \ 1 \ 1 \ 2$

asked Feb 12, 2016 in Programming by Sandeep Singh Loyal (7.8k points) | 3.7k views

+18 votes

9 answers

20

GATE2017-1-6
Let $T$ be a binary search tree with $15$ nodes. The minimum and maximum possible heights of $T$ are: Note: The height of a tree with a single node is $0$. $4$ and $15$ respectively. $3$ and $14$ respectively. $4$ and $14$ respectively. $3$ and $15$ respectively.

asked Feb 14, 2017 in DS by Arjun Veteran (357k points) | 3k views

+44 votes

3 answers

21

GATE2002-2.12
A weight-balanced tree is a binary tree in which for each node, the number of nodes in the left sub tree is at least half and at most twice the number of nodes in the right sub tree. The maximum possible height (number of nodes on the path from the root to the furthest leaf) ... described by which of the following? $\log_2 n$ $\log_{\frac{4}{3}} n$ $\log_3 n$ $\log_{\frac{3}{2}} n$

asked Sep 16, 2014 in DS by Kathleen Veteran (59.5k points) | 4.3k views

+27 votes

7 answers

22

GATE2011-29
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? $0$ $1$ $n!$ $\frac{1} {n+1} .^{2n}C_n$

asked Sep 29, 2014 in DS by jothee Veteran (101k points) | 4.5k views

+21 votes

5 answers

23

GATE2017-1-13
Consider the following C code: #include<stdio.h> int *assignval (int *x, int val) { *x = val; return x; } void main () { int *x = malloc(sizeof(int)); if (NULL == x) return; x = assignval (x,0); if (x) { x = ... made as $x == NULL$ and not as shown. compiles successfully but execution may result in dangling pointer. compiles successfully but execution may result in memory leak.

asked Feb 14, 2017 in Programming by Arjun Veteran (357k points) | 4.4k views

+31 votes

9 answers

24

GATE1994-1.11
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 ... new representation is: $i+j$ $i+j-1$ $(j-1)+\frac{i(i-1)}{2}$ $i+\frac{j(j-1)}{2}$

asked Oct 4, 2014 in DS by Kathleen Veteran (59.5k points) | 4.2k views

+25 votes

6 answers

25

GATE2016-1-38
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 $W$. W=$\begin{bmatrix} 0&2 &8 &5 \\ 2&0 &5 &8 \\ 8&5 &0 ... possible integer value of $x$, for which at least one shortest path between some pair of vertices will contain the edge with weight $x$ is ___________.

asked Feb 12, 2016 in DS by Sandeep Singh Loyal (7.8k points) | 5.6k views

+43 votes

5 answers

26

GATE2017-1-53
Consider the following C program. #include<stdio.h> #include<string.h> void printlength(char *s, char *t) { unsigned int c=0; int len = ((strlen(s) - strlen(t)) > c) ? strlen(s) : strlen(t); printf("%d\n", len); } ... $strlen$ is defined in $string.h$ as returning a value of type $size\_t$, which is an unsigned int. The output of the program is __________ .

asked Feb 14, 2017 in Programming by srestha Veteran (95.9k points) | 5.7k views

+8 votes

2 answers

27

GATE2018-32
Consider the following C code. Assume that unsigned long int type length is $64$ bits. unsigned long int fun(unsigned long int n) { unsigned long int i, j=0, sum = 0; for( i=n; i>1; i=i/2) j++; for( ; j>1; j=j/2) sum++; return sum; } The value returned when we call fun with the input $2^{40}$ is: $4$ $5$ $6$ $40$

asked Feb 14 in Programming by gatecse Boss (18.1k points) | 2k views

+12 votes

7 answers

28

GATE2017-2-54
Consider the following C program. #include<stdio.h> int main () { int m=10; int n, n1; n=++m; n1=m++; n--; --n1; n-=n1; printf(“%d”, n); return 0; } The output of the program is ______

asked Feb 14, 2017 in Programming by Madhav Active (2k points) | 2.1k views

+36 votes

4 answers

29

GATE2013-44
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? $Θ(n)$ $Θ(n + k)$ $Θ(nk)$ $Θ(n^2)$

asked Aug 7, 2014 in DS by gatecse Boss (18.1k points) | 5.8k views

+40 votes

6 answers

30

GATE2004-85
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: $$\Large \min \left ( \substack{\text{number of leaf-nodes}\\\text{in left-subtree of $x$}}\;,\; \ ... -case time complexity of the program is? $\Theta (n)$ $\Theta (n \log n)$ $\Theta(n^2)$ $\Theta (n^2\log n)$

asked Sep 19, 2014 in DS by Kathleen Veteran (59.5k points) | 5.6k views

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