Internal Path Length

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zulfi100

Joined Jun 7, 2012
628
Hi,
I am reading a book, i am attaching its text again. Its providing a formula for calculating the internal path length :

[tex]\sum(i-1)l_i[/tex]
Above is book formula in Latex
[tex]T_S=44kHz[/tex]
Above is the example of Latex given in Tutorial
(Sorry Latex not working)
I mean
Summation(i-1) li
but i am not able to find the internal path length correctly using the attached BST.
I cant verify the internal path Length for level 3 (note root is at level 1) using the formula:

Summation (i-1) li where li is the number of nodes on level I, root is at level 1.

For level 1:

Summation (1-1) *1 = 0 (correct)

For level 2:

Summation[(1-1) * 1 + (2-1) *2] = 2 (correct)

For level 3:

Summation [(1-1) * 1 +{ (2-1) *2} + {(3-1) * 4}] = 10 (Not correct, it should be six from figure)

Somebody please guide me.

Zulfi.
 

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Last edited:

WBahn

Joined Mar 31, 2012
24,970
It's very hard to figure out what you are asking. What does T_S = 44 kHz have to do with any of this?

How do you figure that it should be six?

How many nodes are there in a tree of height 3? What is the path length from the root to each of those nodes? What is the sum of all of those path lengths?
 
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