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Question

Why the below pseudo code where x is a value, wt is weight factor and t is root node can’t insert?
WeightBalanceTreeNode insert(int x, int wt, WeightBalanceTreeNode k) :
 
           if (k == null)
                k = new WeightBalanceTreeNode(x, wt, null, null)
           else if (x < t.element) :
 
                k.left = insert (x, wt, k.left)
                if (k.left.weight < k.weight)
                    k = rotateWithRightChild (k)
 
            else if (x > t.element) :
 
                k.right = insert (x, wt, k.right)
                if (k.right.weight < k.weight)
                    k = rotateWithLeftChild (k)

a.

when x>t. element Rotate-with-left-child should take place and vice versa

b.

the logic is incorrect

c.

the condition for rotating children is wrong

d.

insertion cannot be performed in weight balanced trees

Answer: (a).when x>t. element Rotate-with-left-child should take place and vice versa

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Q. Why the below pseudo code where x is a value, wt is weight factor and t is root node can’t insert?

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