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: next() and hasNext() should run in average O(1) time and uses O(h) memory, where h is the height of the tree.

Credits:
Special thanks to @ts for adding this problem and creating all test cases.

 

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SOLUTION 1:

使用inorder traversal把tree转化为arraylist.

 递归

 1 /**
 2  * Definition for binary tree
 3  * public class TreeNode {
 4  *     int val;
 5  *     TreeNode left;
 6  *     TreeNode right;
 7  *     TreeNode(int x) { val = x; }
 8  * }
 9  */
10 
11 public class BSTIterator {
12     ArrayList<TreeNode> list;
13     int index;
14 
15     public BSTIterator(TreeNode root) {
16         list = new ArrayList<TreeNode>();
17         iterator(root, list);
18         
19         index = 0;
20     }
21     
22     // solution 1: recursion.
23     public void dfs (TreeNode root, ArrayList<TreeNode> ret) {
24         if (root == null) {
25             return;
26         }
27         
28         //Use inorder traversal.
29         dfs(root.left, ret);
30         ret.add(root);
31         dfs(root.right, ret);
32     }
33     
34    
35     /** @return whether we have a next smallest number */
36     public boolean hasNext() {
37         if (index < list.size()) {
38             return true;
39         }
40         
41         return false;
42     }
43 
44     /** @return the next smallest number */
45     public int next() {
46         return list.get(index++).val;
47     }
48 }
49 
50 /**
51  * Your BSTIterator will be called like this:
52  * BSTIterator i = new BSTIterator(root);
53  * while (i.hasNext()) v[f()] = i.next();
54  */
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