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Programming in C.
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The maximum number of nodes on level i of a binary tree
Level of a node is distance from root to that node. For example, level of root is 1 and levels of left and right children of root is 2. The maximum number of nodes on level i of a binary tree is In the following answers, the operator '^' indicates power a) 2^i-1 b)2^i c)2^i+1 d)2^(i+1/2)
Akanksha Kesarwani
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in
DS
Jan 16, 2016
by
Akanksha Kesarwani
101k
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binary-tree
data-structures
168
votes
17
answers
2
GATE CSE 2016 Set 2 | Question: 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 $0$.
Akash Kanase
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in
DS
Feb 12, 2016
by
Akash Kanase
49.4k
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gatecse-2016-set2
data-structures
binary-search-tree
normal
numerical-answers
172
votes
13
answers
3
GATE IT 2007 | Question: 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 $60$? $35$ $64$ $128$ $5040$
Ishrat Jahan
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in
DS
Oct 29, 2014
by
Ishrat Jahan
38.8k
views
gateit-2007
data-structures
binary-search-tree
normal
39
votes
5
answers
4
GATE CSE 2009 | Question: 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 $0$. $2$ $3$ $4$ $5$
Kathleen
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DS
Sep 22, 2014
by
Kathleen
43.2k
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gatecse-2009
data-structures
binary-search-tree
normal
isrodec2017
avl-tree
129
votes
6
answers
5
GATE CSE 2008 | Question: 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 ... $\Theta(\log n)$ $\Theta(n)$ $\Theta(n\log n)$ None of the above, as the tree cannot be uniquely determined
Kathleen
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DS
Sep 12, 2014
by
Kathleen
38.5k
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gatecse-2008
data-structures
binary-search-tree
normal
1
vote
3
answers
6
Linked List implementation of Queue
Which of the following is true about linked list implementation of queue? (a) In push operation, if new nodes are inserted at the beginning of linked list, then in pop operation, nodes must be removed from end. (b) In push operation, if new nodes are ... (1) TC answer should be (b) But If we are allowed to use doubly linked list then answer should be C only ryt?
Shubhanshu
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in
Programming in C
Jun 10, 2017
by
Shubhanshu
54.1k
views
linked-list
data-structures
queue
86
votes
7
answers
7
GATE CSE 2017 Set 1 | Question: 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); ... and not as shown. compiles successfully but execution may result in dangling pointer. compiles successfully but execution may result in memory leak.
Arjun
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in
Programming in C
Feb 14, 2017
by
Arjun
35.0k
views
gatecse-2017-set1
programming-in-c
programming
pointers
67
votes
14
answers
8
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 _______
gatecse
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DS
Feb 14, 2018
by
gatecse
38.6k
views
gatecse-2018
binary-heap
numerical-answers
combinatory
2-marks
37
votes
11
answers
9
GATE CSE 2021 Set 2 | Question: 10
Consider the following $\text{ANSI C}$ program. #include <stdio.h> int main() { int arr[4][5]; int i, j; for (i=0; i<4; i++) { for (j=0; j<5; j++) { arr[i][j] = 10 * i + j; } } printf(“%d”, *(arr[1]+9)); return 0; } What is the output of the above program? $14$ $20$ $24$ $30$
Arjun
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in
Programming in C
Feb 18, 2021
by
Arjun
29.8k
views
gatecse-2021-set2
programming-in-c
array
output
1-mark
49
votes
7
answers
10
GATE CSE 1995 | Question: 2.21
The postfix expression for the infix expression $A+B*(C+D)/F+D*E$ is: $AB + CD + *F/D +E*$ $ABCD + *F/DE* ++$ $A * B + CD/F *DE ++$ $A + *BCD/F* DE ++$
Kathleen
asked
in
DS
Oct 8, 2014
by
Kathleen
38.0k
views
gate1995
data-structures
stack
easy
79
votes
10
answers
11
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 $\Theta (n \log n)$ $\Theta (n)$ $\Theta(\log n)$ $\Theta(1)$
Disha
asked
in
DS
Sep 19, 2014
by
Disha
31.6k
views
gatecse-2003
data-structures
binary-heap
69
votes
13
answers
12
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 _______
Madhav
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in
Programming in C
Feb 14, 2017
by
Madhav
27.4k
views
gatecse-2017-set2
programming-in-c
numerical-answers
array
pointers
143
votes
12
answers
13
GATE CSE 2016 Set 1 | Question: 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 ... = Pop(S); Enqueue (Q, x); end end The maximum possible number of iterations of the while loop in the algorithm is _______.
Sandeep Singh
asked
in
DS
Feb 12, 2016
by
Sandeep Singh
34.4k
views
gatecse-2016-set1
data-structures
queue
difficult
numerical-answers
72
votes
4
answers
14
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
Kathleen
asked
in
Programming in C
Sep 16, 2014
by
Kathleen
29.8k
views
gatecse-2003
programming
programming-in-c
easy
pointers
118
votes
8
answers
15
GATE CSE 2014 Set 3 | Question: 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 ______.
go_editor
asked
in
DS
Sep 28, 2014
by
go_editor
31.1k
views
gatecse-2014-set3
data-structures
binary-search-tree
numerical-answers
normal
103
votes
11
answers
16
GATE CSE 2004 | Question: 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 $g(x)$ ... time complexity of the program is? $\Theta (n)$ $\Theta (n \log n)$ $\Theta(n^2)$ $\Theta (n^2\log n)$
Kathleen
asked
in
DS
Sep 18, 2014
by
Kathleen
31.1k
views
gatecse-2004
binary-search-tree
normal
data-structures
48
votes
9
answers
17
GATE CSE 2011 | Question: 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? $0$ $1$ $n!$ $\frac{1} {n+1} .^{2n}C_n$
go_editor
asked
in
DS
Sep 29, 2014
by
go_editor
31.4k
views
gatecse-2011
binary-tree
normal
88
votes
8
answers
18
GATE CSE 2006 | Question: 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 ... and $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 $
Rucha Shelke
asked
in
DS
Sep 26, 2014
by
Rucha Shelke
32.6k
views
gatecse-2006
data-structures
queue
stack
normal
45
votes
8
answers
19
GATE CSE 1998 | Question: 2.14
Let $A$ be a two dimensional array declared as follows: A: array [1 …. 10] [1 ….. 15] of integer; Assuming that each integer takes one memory location, the array is stored in row-major order and the first element of the array is stored at location $100$, what is the address of the element $A[i][j]$? $15i+j+84$ $15j+i+84$ $10i+j+89$ $10j+i+89$
Kathleen
asked
in
DS
Sep 25, 2014
by
Kathleen
29.5k
views
gate1998
data-structures
array
easy
35
votes
5
answers
20
GATE CSE 2002 | Question: 2.9
The number of leaf nodes in a rooted tree of n nodes, with each node having $0$ or $3$ children is: $\frac{n}{2}$ $\frac{(n-1)}{3}$ $\frac{(n-1)}{2}$ $\frac{(2n+1)}{3}$
Kathleen
asked
in
DS
Sep 15, 2014
by
Kathleen
30.8k
views
gatecse-2002
data-structures
tree
normal
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