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You can augment the BST where each node will store the size of the left sub-tree as well as the size of the right sub-tree. So at each node if N>size(left_sub-tree) traverse the right sub-tree. Otherwise traverse the left sub-tree. If you go to the right sub-tree then you'll have change N to N - size(left_sub-tree) -1 .- prashant91.kr May 01, 2014