ALLInterview.com :: Home Page            
 Advertise your Business Here     
Browse  |   Placement Papers  |   Company  |   Code Snippets  |   Certifications  |   Visa Questions
Post Question  |   Post Answer  |   My Panel  |   Search  |   Articles  |   Topics  |   ERRORS new
   Refer this Site  Refer This Site to Your Friends  Site Map  Bookmark this Site  Set it as your HomePage  Contact Us     Login  |  Sign Up                      
Google
   
 
Categories >> Software >> Operating Systems >> Data Structures
 
 


 

 
 Windows interview questions  Windows Interview Questions (339)
 Linux interview questions  Linux Interview Questions (451)
 Unix interview questions  Unix Interview Questions (455)
 Solaris interview questions  Solaris Interview Questions (781)
 RTOS interview questions  RTOS Interview Questions (43)
 Bulnex interview questions  Bulnex Interview Questions (4)
 Operating Systems General Concepts interview questions  Operating Systems General Concepts Interview Questions (261)
 Data Structures interview questions  Data Structures Interview Questions (67)
 Operating Systems AllOther interview questions  Operating Systems AllOther Interview Questions (48)
Question
What is the maximum total number of nodes in a tree that has
N levels? Note that the root is level (zero)
 Question Submitted By :: Data-Structures
I also faced this Question!!     Answer Posted By  
 
Answer
# 1
2^(N+1)-1..

if N=0; it is 2-1=1,1 is the max no of node in the tree
if N=1; it is 4-1=3, 3 is the max no of nodes in the tree
if N=2; it is 8-1=7, 7 is the max

and it goes like that...........
 
Is This Answer Correct ?    97 Yes 5 No
Salmiya Thilsath.a
 
Answer
# 2
(2 pow n)-1,if root level is one and (2 pow n+1)-1, if root
level is zero.
 
Is This Answer Correct ?    24 Yes 9 No
Asharani K P
 
 
 
Answer
# 3
(2^(N+1))-1
Suppose level is 2 then total number of nodes will be
1 root
2 left of root and right of root
2 left and right of left of root
2 left and right of right of root
so total nodes are 1+2+2+2=7

by formula (2^(2+1))-1
8-1=7
 
Is This Answer Correct ?    21 Yes 8 No
Gaurav Gupta
 
Answer
# 4
2^(N+1)-1 
Is This Answer Correct ?    18 Yes 6 No
Deba
 
Answer
# 5
2^N -1 
Is This Answer Correct ?    12 Yes 6 No
Gopala Krishnan
 
Answer
# 6
Infinite

In a tree a node can have any number of nodes independent
of the levels.
 
Is This Answer Correct ?    8 Yes 3 No
S. Sadagopan
 
Answer
# 7
if tree is binary tree then maximum no.of node is 2^(N+1)-1 
Is This Answer Correct ?    4 Yes 0 No
Bipin From Utkal University Mc
 
Answer
# 8
to be more generic this kind of problem is best solved
recursivly.

To point out that 2 ^ N AND 3 ^ N are both wrong,
here's a few examples: (the exponet is the amount of levels)
2^0 = 1, correct
2^1 = 2, incorrect, should be 3
2^2 = 4, incorrect, should be 7

And a tree with three children
3^0 = 1, correct
3^1 = 3, incorrect, should be 4
3^2 = 9, incorrect, should be 13

Looking at that I'm sure you can see the pattern.
Let
C = "Number of Possible Children"
N = Levels

N
Σ C^N
j=0

or in C++ code
int NodeCount(int C, int N)
{
if (N < 0) return 0
return NodeCount(C, N-1) + C^N
}
 
Is This Answer Correct ?    7 Yes 4 No
Hex
 
Answer
# 9
If root is at level 0 then :
Case 0:
When level is 1 max nodes is 1
Case 1:
When level is 1 then max would be 3.
Case 2:
When level is 2 then max nodes would be 7

So formula would be 2^(n+1) -1

2^(0+1)-1=1
2^(1+1)-1=3
2^(2+1)-1=7
 
Is This Answer Correct ?    5 Yes 3 No
Vaishali Naidu
 
Answer
# 10
2^(N+1)-1 
Is This Answer Correct ?    1 Yes 0 No
Saurabh
 

 
 
 
Other Data Structures Interview Questions
 
  Question Asked @ Answers
 
Which data structure is needed to convert infix notations to post fix notations? Fidelity 20
what is a complexity of linear search,binery search? ABB 8
What is binary tree? BMC 13
How will inorder, preorder and postorder traversals print the elements of a tree?   11
Write programs for Bubble Sort, Quick sort Cognizent 15
how to find the number of possible tree in the given tree. Wipro 12
No. of possible ordered trees with n nodes ? Please give formula (if any).   1
how to search an element in sorted linked list with time complexity is O(log n). Wipro 3
What does abstract data type means? TCS 23
Convert the following infix expression to post fix notation ((a+2)*(b+4)) -1   9
How can one find a cycle in the linked list? IF found how to recognize the cycle and delete that cycle? Citrix 12
In which data structure, elements can be added or removed at either end, but not in the middle? Wipro 41
 
For more Data Structures Interview Questions Click Here 
 
 
 
 
 


   
Copyright Policy  |  Terms of Service  |  Articles  |  Site Map  |  RSS Site Map  |  Contact Us
   
Copyright 2013  ALLInterview.com.  All Rights Reserved.

ALLInterview.com   ::  KalAajKal.com