An unbalanced BST can be converted to a balanced BST in following 2-steps.

1:- Convert the tree to sorted circular doubly linked list.  
http://www.leetcode.com/2010/11/convert-binary-search-tree-bst-to.html
    The left children points to previous element and right children points 
to next element.  ->  O( N )
2:- Now convert the doubly linked list into tree recursively.   ->O(N)    
http://www.geeksforgeeks.org/archives/17063

Return the root of the new tree formed.--

Navin Kumar Gupta
Final Year,B.Tech(Hons.)
Computer Science & Engg.
National Institute of Technology,Jamshedpur
Mobile - (+91)8285303045

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