time complexity - Worst Case number of rotations for BST to AVL algorithm? -


i have basic algorithm below , know worst case input bst 1 has degenerated linked list inserts 1 side.

how compute worst case complexity in terms of number of rotations bst avl conversion algorithm? 

if tree right heavy {   if tree's right subtree left heavy   {      perform double left rotation    }   else   {      perform single left rotation   } } else if tree left heavy {   if tree's left subtree right heavy   {      perform double right rotation   }   else   {      perform single right rotation   } }

if single , double rotations take constant time o(1) worst-case input on size n going perform single (or double depending on if input linked list left-sided or right-sided) on nodes. be:

o(1) + o(1) + ... + o(1) # n times worst case

that makes algorithm o(n) worst case.


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