Problem

Given a Binary Search Tree (BST), convert it to a Greater Tree such that every key of the original BST is changed to the original key plus sum of all keys greater than the original key in BST.

Example:

Input: The root of a Binary Search Tree like this:

          5
        /   \
       2     13

Output: The root of a Greater Tree like this:

         18
        /   \
      20     13

Solution - Recursion

class Solution {
    int sum = 0;
    public TreeNode convertBST(TreeNode root) {
        if (root == null) return null;
        convertBST(root.right);
        root.val += sum;
        sum = root.val;
        convertBST(root.left);
        return root;
    }
}

Solution - Iteration

class Solution {
    public TreeNode convertBST(TreeNode root) {
        if (root == null) return null;
        int sum = 0;
        Deque<TreeNode> stack = new ArrayDeque<>();
        TreeNode cur = root;
        while (cur != null || !stack.isEmpty()) {
            while (cur != null) {
                stack.push(cur);
                cur = cur.right;
            }
            cur = stack.pop();
            cur.val += sum;
            sum = cur.val;
            cur = cur.left;
        }
        return root;
    }
}

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