Interested to Buy Any Domain ? << Click Here >> for more details...
What is the maximum total number of nodes in a tree that has
N levels? Note that the root is level (zero)
- 18 Answers
- 52740 Views
- CSC, National Instruments, Sasken, Sybrant Technologies, I also Faced
- E-Mail Answers
Answers were Sorted based on User's Feedback
Answer / salmiya thilsath.a
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 ? | 124 Yes | 8 No |
Answer / asharani k p
(2 pow n)-1,if root level is one and (2 pow n+1)-1, if root
level is zero.
| Is This Answer Correct ? | 26 Yes | 11 No |
Answer / gaurav gupta
(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 ? | 24 Yes | 10 No |
Answer / bipin from utkal university mc
if tree is binary tree then maximum no.of node is 2^(N+1)-1
| Is This Answer Correct ? | 5 Yes | 0 No |
Answer / hex
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 ? | 8 Yes | 4 No |
Answer / vaishali naidu
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 ? | 6 Yes | 3 No |
Answer / s. sadagopan
Infinite
In a tree a node can have any number of nodes independent
of the levels.
| Is This Answer Correct ? | 8 Yes | 6 No |
Which is best book for data structures?
What is the best data structure and algorithm to implement cache?
What is weight balanced tree in data structure?
Which language is best for data structures?
If you do not initialize an array what will happen?
Is there any difference between int[] a and int a[]?
How do you do a mergesort?
Can arraylist contain duplicates?
How helpful is abstract data type of data structures?
Which interfaces are implemented by printerstatereasons?
What do you mean by heap order property?
How to find the duplicate in an array?
Windows 
