Highest voted questions in Programming and DS

+100 votes

8 answers

1

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 (16.3k points) | 13k views

+93 votes

14 answers

2

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 (41.9k points) | 13.8k views

+76 votes

2 answers

3

GATE2014-2-11
Suppose $n$ and $p$ are unsigned int variables in a C program. We wish to set p to $^nC_3$. If $n$ is large, which one of the following statements is most likely to set p correctly? $p = n * (n-1) * (n-2) / 6;$ $p = n * (n-1) / 2 * (n-2) / 3;$ $p = n * (n-1) / 3 * (n-2) / 2;$ $p = n * (n-1) * (n-2) / 6.0;$

asked Sep 28, 2014 in Programming by jothee Veteran (106k points) | 5.1k views

+74 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 $S$. ... else x:= 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 (7.2k points) | 10.2k views

+71 votes

5 answers

5

GATE2015-1-35
What is the output of the following C code? Assume that the address of $x$ is $2000$ (in decimal) and an integer requires four bytes of memory. int main () { unsigned int x [4] [3] = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}, {10, 11, 12}}; printf ("%u, %u, %u", x + 3, *(x + 3), *(x + 2) + 3); } $2036, 2036, 2036$ $2012, 4, 2204$ $2036, 10, 10$ $2012, 4, 6$

asked Feb 13, 2015 in Programming by makhdoom ghaya Boss (30.9k points) | 8.5k views

+65 votes

6 answers

6

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 (106k points) | 10.8k views

+64 votes

5 answers

7

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 (52.2k points) | 11.9k views

+62 votes

7 answers

8

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); } void main() ... 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 (119k points) | 8.9k views

+57 votes

3 answers

9

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) of such ... 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 (52.2k points) | 7.2k views

+55 votes

9 answers

10

GATE2014-1-12
Consider a rooted n node binary tree represented using pointers. The best upper bound on the time required to determine the number of subtrees having exactly $4$ nodes is $O(n^a\log^bn)$. Then the value of $a+10b$ is __________.

asked Sep 26, 2014 in DS by jothee Veteran (106k points) | 6.8k views

+54 votes

7 answers

11

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 $ ... worst-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 (52.2k points) | 9.3k views

+53 votes

8 answers

12

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 (7.1k points) | 8.9k views

+53 votes

7 answers

13

GATE2006-IT-49
Which one of the choices given below would be printed when the following program is executed ? #include <stdio.h> struct test { int i; char *c; }st[] = {5, "become", 4, "better", 6, "jungle", 8, "ancestor", 7, "brother"}; ... $\text{etter, u, 6, ungle}$ $\text{cetter, k, 6, jungle}$ $\text{etter, u, 8, ncestor}$

asked Nov 1, 2014 in Programming by Ishrat Jahan Boss (16.3k points) | 7k views

+50 votes

6 answers

14

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 + bar( ... 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 (432k points) | 8.8k views

+50 votes

5 answers

15

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 (41.9k points) | 7.1k views

+50 votes

6 answers

16

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 list in ... 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 (41.9k points) | 11k views

+50 votes

6 answers

17

GATE2006-49
An implementation of a queue $Q$, using two stacks $S1$ and $S2$, is given below: void insert (Q, x) { push (S1, x); } void delete (Q) { if (stack-empty(S2)) then if (stack-empty(S1)) then { print( Q is empty ); return; } else while (!(stack-empty(S1))){ x=pop(S1); push(S2 ... $2m\leq y\leq 2n $ $ 2m\leq x<2n $ and $2m\leq y\leq n+m $ $ 2m\leq x<2n $ and $2m\leq y\leq 2n $

asked Sep 26, 2014 in DS by Rucha Shelke Active (3.3k points) | 7.1k views

+48 votes

5 answers

18

GATE2006-IT-50
Which one of the choices given below would be printed when the following program is executed? #include <stdio.h> void swap (int *x, int *y) { static int *temp; temp = x; x = y; y = temp; } void printab () { static int i, a = -3, b = -6; i = 0; while (i <= 4) { if ((i++)%2 == 1) continue; ... $a = 12, b = 9$ $a = 3, b = 6$ $a = 3, b = 6$ $a = 6, b = 3$ $a = 15, b = 12$

asked Nov 1, 2014 in Programming by Ishrat Jahan Boss (16.3k points) | 6.1k views

+47 votes

9 answers

19

GATE2010-53
A hash table of length $10$ uses open addressing with hash function $h(k) = k \: mod \: 10$, and linear probing. After inserting $6$ ... 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 (106k points) | 7k views

+46 votes

8 answers

20

GATE2015-2-31
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 consists of ... $1$) to be shifted, to remove $1$ from the given Young tableau is _____.

asked Feb 12, 2015 in DS by jothee Veteran (106k points) | 3.9k views

+46 votes

4 answers

21

GATE2003-6
Let $T(n)$ be the number of different binary search trees on $n$ distinct elements. Then $T(n) = \sum_{k=1}^{n} T(k-1)T(x)$, where $x$ is $n-k+1$ $n-k$ $n-k-1$ $n-k-2$

asked Sep 16, 2014 in DS by Kathleen Veteran (52.2k points) | 5.3k views

+46 votes

5 answers

22

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 (17.5k points) | 8.9k views

+45 votes

9 answers

23

GATE2003-64
Let S be a stack of size $n \geq1$. Starting with the empty stack, suppose we push the first n natural numbers in sequence, and then perform $n$ pop operations. Assume that Push and Pop operations take $X$ seconds each, and $Y$ seconds elapse between the end of one such stack operation ... from S. The average stack-life of an element of this stack is $n(X+Y)$ $3Y+2X$ $n(X+Y)-X$ $Y+2X$

asked Sep 17, 2014 in DS by Kathleen Veteran (52.2k points) | 7.2k views

+44 votes

1 answer

24

GATE2015-3-48
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); case 3: printf("\n%d", i+k); default: printf("\n%d", i+k); } } return 0; } The number of times printf statement is executed is _______.

asked Feb 16, 2015 in Programming by jothee Veteran (106k points) | 6.1k views

+44 votes

2 answers

25

GATE2005-IT-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 $f(S)$? $6$ $4$ $3$ $2$

asked Nov 3, 2014 in DS by Ishrat Jahan Boss (16.3k points) | 4.8k views

+43 votes

3 answers

26

GATE2008-IT-51
Consider the C program given below. What does it print? #include <stdio.h> int main () { int i, j; int a [8] = {1, 2, 3, 4, 5, 6, 7, 8}; for(i = 0; i < 3; i++) { a[i] = a[i] + 1; i++; } i--; for (j = 7; j > 4; j--) { int i = j/2; a[i] = a[i] - 1; } printf ("%d, %d", i, a[i]); } $2, 3$ $2, 4$ $3, 2$ $3, 3$

asked Oct 29, 2014 in Programming by Ishrat Jahan Boss (16.3k points) | 3.8k views

+42 votes

6 answers

27

GATE2015-1-33
Consider the following pseudo code, where $x$ and $y$ are positive integers. begin q := 0 r := x while r ≥ y do begin r := r - y q := q + 1 end end The post condition that needs to be satisfied after the program terminates is $\{ r = qx + y \wedge r < y\}$ $\{ x = qy + r \wedge r < y\}$ $\{ y = qx + r \wedge 0 < r < y\}$ $\{ q + 1 < r - y \wedge y > 0\}$

asked Feb 13, 2015 in Programming by makhdoom ghaya Boss (30.9k points) | 3.9k views

+42 votes

11 answers

28

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 $n \times n$ ... 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 (52.2k points) | 7k views

+42 votes

3 answers

29

GATE2007-47
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: $\Theta(\log_2n)$ $\Theta(\log_2\log_2n)$ $\Theta(n)$ $\Theta(n\log_2n)$

asked Sep 22, 2014 in DS by Kathleen Veteran (52.2k points) | 5.2k views

+41 votes

9 answers

30

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 (1.6k points) | 9.3k views

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

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