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Programming in C.
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Previous GATE
+76
votes
13
answers
1
GATE2016240
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
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by
Akash Kanase
Boss
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41k
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11.4k
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gate20162
datastructure
binarysearchtree
normal
numericalanswers
+77
votes
6
answers
2
GATE2007IT29
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)

10.5k
views
gate2007it
datastructure
binarysearchtree
normal
+62
votes
9
answers
3
GATE2016141
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
(
7.1k
points)

8.4k
views
gate20161
datastructure
queues
difficult
numericalanswers
+18
votes
8
answers
4
GATE2017213
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
(
1.6k
points)

7.6k
views
gate20172
datastructure
queues
+32
votes
5
answers
5
GATE2017136
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
(
413k
points)

7.1k
views
gate20171
programminginc
programming
normal
+31
votes
7
answers
6
GATE2016138
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 $W$ ... 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
(
7.1k
points)

7.3k
views
gate20161
datastructure
graphs
normal
numericalanswers
+54
votes
5
answers
7
GATE200846
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
(
52.1k
points)

9.9k
views
gate2008
datastructure
binarysearchtree
normal
+29
votes
8
answers
8
GATE2017255
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)

7.9k
views
gate20172
programminginc
numericalanswers
+46
votes
7
answers
9
GATE200485
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 leafnodes}\\\text{in leftsubtree of $ ... worstcase 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
(
52.1k
points)

7.6k
views
gate2004
binarysearchtree
normal
datastructure
+3
votes
1
answer
10
what is the difference between type conversion and type casting in c ?
asked
May 10, 2016
in
Programming
by
Vivek Jain
Junior
(
771
points)

16k
views
+6
votes
6
answers
11
GATE201946
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) _________.
asked
Feb 7
in
DS
by
Arjun
Veteran
(
413k
points)

4.8k
views
gate2019
numericalanswers
datastructure
binarytree
+56
votes
3
answers
12
GATE2015135
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
(
29.5k
points)

7.1k
views
gate20151
programming
programminginc
normal
+38
votes
8
answers
13
GATE201053
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
(
97.1k
points)

5.9k
views
datastructure
hashing
normal
gate2010
+38
votes
11
answers
14
GATE19941.11
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: $i+j$ $i+j1$ $(j1)+\frac{i(i1)}{2}$ $i+\frac{j(j1)}{2}$
asked
Oct 4, 2014
in
DS
by
Kathleen
Veteran
(
52.1k
points)

5.8k
views
gate1994
datastructure
arrays
normal
+38
votes
5
answers
15
GATE201344
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
(
16.1k
points)

7.4k
views
gate2013
datastructure
algorithms
normal
queues
+42
votes
6
answers
16
GATE2016215
$N$ 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 decreasekey 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
(
41k
points)

9k
views
gate20162
datastructure
linkedlists
timecomplexity
normal
+30
votes
3
answers
17
GATE2017155
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
(
112k
points)

6k
views
gate20171
programming
programminginc
normal
numericalanswers
+32
votes
4
answers
18
GATE2016110
A queue is implemented using an array such that ENQUEUE and DEQUEUE operations are performed efficiently. Which one of the following statements is CORRECT ($n$ refers to the number of items in the queue) ? Both operations can be performed in $O(1)$ time. At most ... for both operations will be $\Omega (n)$. Worst case time complexity for both operations will be $\Omega (\log n)$
asked
Feb 12, 2016
in
DS
by
Sandeep Singh
Loyal
(
7.1k
points)

6.6k
views
gate20161
datastructure
queues
normal
+24
votes
4
answers
19
GATE19891vii, ISRO201514
A hash table with ten buckets with one slot per bucket is shown in the following figure. The symbols $S1$ to $S7$ initially entered using a hashing function with linear probing. The maximum number of comparisons needed in searching an item that is not present is $4$ $5$ $6$ $3$
asked
Jun 1, 2015
in
DS
by
Anu
Loyal
(
5.6k
points)

6.4k
views
hashing
isro2015
gate1989
datastructure
normal
+13
votes
4
answers
20
GATE20183
A queue is implemented using a noncircular singly linked list. The queue has a head pointer and a tail pointer, as shown in the figure. Let $n$ denote the number of nodes in the queue. Let 'enqueue' be implemented by inserting a new node at the head, and 'dequeue' be implemented by deletion ... $\Theta(1), \Theta(1)$ $\Theta(1), \Theta(n)$ $\Theta(n), \Theta(1)$ $\Theta(n), \Theta(n)$
asked
Feb 14, 2018
in
DS
by
gatecse
Boss
(
16.1k
points)

3.3k
views
gate2018
algorithms
datastructure
queues
normal
linkedlists
+25
votes
11
answers
21
GATE2007IT28
Consider a hash function that distributes keys uniformly. The hash table size is $20$. After hashing of how many keys will the probability that any new key hashed collides with an existing one exceed $0.5$. $5$ $6$ $7$ $10$
asked
Oct 30, 2014
in
DS
by
Ishrat Jahan
Boss
(
16.3k
points)

5.5k
views
gate2007it
datastructure
hashing
probability
normal
+47
votes
7
answers
22
GATE2017108
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
(
6.8k
points)

7.4k
views
gate20171
datastructure
linkedlists
normal
+18
votes
3
answers
23
GATE200937,ISRODEC201755
What is the maximum height of any AVLtree 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
(
52.1k
points)

7.1k
views
gate2009
datastructure
binarysearchtree
normal
isrodec2017
+43
votes
6
answers
24
GATE200649
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 (stackempty(S2)) then if (stackempty(S1)) then { print( Q is empty ); return; } else while (!(stackempty(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)

6k
views
gate2006
datastructure
queues
stack
normal
+41
votes
5
answers
25
GATE2016234
A complete binary minheap 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
(
41k
points)

5.8k
views
gate20162
datastructure
heap
normal
numericalanswers
+58
votes
8
answers
26
GATE2014339
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
(
97.1k
points)

8.7k
views
gate20143
datastructure
binarysearchtree
numericalanswers
normal
+26
votes
7
answers
27
GATE200436
A circularly linked list is used to represent a Queue. A single variable $p$ is used to access the Queue. To which node should $p$ point such that both the operations $\text{enQueue}$ and $\text{deQueue}$ can be performed in constant time? rear node front node not possible with a single pointer node next to front
asked
Sep 19, 2014
in
DS
by
Kathleen
Veteran
(
52.1k
points)

5.7k
views
gate2004
datastructure
linkedlists
normal
+6
votes
5
answers
28
GATE201927
Consider the following C program: #include <stdio.h> int r() { static int num=7; return num; } int main() { for (r();r();r()) printf(“%d”,r()); return 0; } Which one of the following values will be displayed on execution of the programs? $41$ $52$ $63$ $630$
asked
Feb 7
in
Programming
by
Arjun
Veteran
(
413k
points)

3.1k
views
gate2019
programminginc
programming
+28
votes
8
answers
29
GATE2014241
Suppose a stack implementation supports an instruction $REVERSE$, which reverses the order of elements on the stack, in addition to the $PUSH$ and $POP$ instructions. Which one of the following statements is TRUE (with respect to this modified stack)? A ... $ENQUEUE$ and $DEQUEUE$ take a single instruction each.
asked
Sep 28, 2014
in
DS
by
jothee
Veteran
(
97.1k
points)

5.6k
views
gate20142
datastructure
stack
easy
+34
votes
5
answers
30
GATE200323
In a minheap 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
(
81
points)

7.9k
views
gate2003
datastructure
heap
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