Algorithms

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Finding the Internal Path Length (not work/school related) Posted by cnsr on 2 Feb 2004 at 8:39 PM
The question was: Write a recursive program that computes the internal path length of a binary tree in time proportional to the number of nodes in the tree.

I have the program, but I'm not sure if it meets the criteria.
int GetInternalPathLength (link root, int curLevel = 0)
{ 
     // Check if this node is external. If it is, 
     // don't count its level as part of the IPL. 
     if (root -> leftChild == NULL && root -> rightChild == NULL) 
     { 
          return 0; 
     } 

     // Add this node's level and the IPL of it's  
     // subtrees to the TOTAL IPL. 
     return curLevel + 
            GetInternalPathLength (root -> leftChild, curLevel + 1) + 
            GetInternalPathLength (root -> rightChild, curLevel + 1);
}

Is this proportional to N?

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Re: Finding the Internal Path Length (not work/school related) Posted by athomas on 29 Mar 2004 at 1:05 PM
Hi,

well, i think it is correct.
Cheers.
Alex


: The question was: Write a recursive program that computes the internal path length of a binary tree in time proportional to the number of nodes in the tree.
:
: I have the program, but I'm not sure if it meets the criteria.
:
: int GetInternalPathLength (link root, int curLevel = 0)
: { 
:      // Check if this node is external. If it is, 
:      // don't count its level as part of the IPL. 
:      if (root -> leftChild == NULL && root -> rightChild == NULL) 
:      { 
:           return 0; 
:      } 
: 
:      // Add this node's level and the IPL of it's  
:      // subtrees to the TOTAL IPL. 
:      return curLevel + 
:             GetInternalPathLength (root -> leftChild, curLevel + 1) + 
:             GetInternalPathLength (root -> rightChild, curLevel + 1);
: }
: 

: Is this proportional to N?
:
:




 

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