Implement an iterator over a binary search tree (BST). Your iterator will be initialized with the root node of a BST.
Calling 
next() will return the next smallest number in the BST.
Note: 
Code (Java):next() and hasNext() should run in average O(1) time and uses O(h) memory, where h is the height of the tree./**
 * Definition for binary tree
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class BSTIterator {
    private TreeNode p;
    private Stack<TreeNode> stack = new Stack<TreeNode>();
    public BSTIterator(TreeNode root) {
        this.p = root;
    }
    /** @return whether we have a next smallest number */
    public boolean hasNext() {
        return !stack.isEmpty() || p != null;
    }
    /** @return the next smallest number */
    public int next() {
        while (p != null) {
            stack.push(p);
            p = p.left;
        }
        
        TreeNode curr = stack.pop();
        p = curr.right;
        
        return curr.val;
    }
}
/**
 * Your BSTIterator will be called like this:
 * BSTIterator i = new BSTIterator(root);
 * while (i.hasNext()) v[f()] = i.next();
 */
Update on 5/20/19:
/**
 * Definition of TreeNode:
 * public class TreeNode {
 *     public int val;
 *     public TreeNode left, right;
 *     public TreeNode(int val) {
 *         this.val = val;
 *         this.left = this.right = null;
 *     }
 * }
 * Example of iterate a tree:
 * BSTIterator iterator = new BSTIterator(root);
 * while (iterator.hasNext()) {
 *    TreeNode node = iterator.next();
 *    do something for node
 * } 
 */
public class BSTIterator {
    private Stack<TreeNode> stack;
    private TreeNode p;
    /*
    * @param root: The root of binary tree.
    */public BSTIterator(TreeNode root) {
        // do intialization if necessary
        this.p = root;
        stack = new Stack<>();
        
        while (p != null) {
            stack.push(p);
            p = p.left;
        }
    }
    /*
     * @return: True if there has next node, or false
     */
    public boolean hasNext() {
        // write your code here
        return !stack.isEmpty();
    }
    /*
     * @return: return next node
     */
    public TreeNode next() {
        // write your code here
        TreeNode ans = stack.pop();
        p = ans.right;
        
        while (p != null) {
            stack.push(p);
            p = p.left;
        }
        
        return ans;
    }
}
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