230. Kth Smallest Element in a BST.md

230. Kth Smallest Element in a BST

Question

Given a binary search tree, write a function kthSmallest to find the kth smallest element in it.

Note: You may assume k is always valid, 1 ≤ k ≤ BST's total elements.

Example 1:

Input: root = [3,1,4,null,2], k = 1
   3
  / \
 1   4
  \
   2
Output: 1

Example 2:

Input: root = [5,3,6,2,4,null,null,1], k = 3
       5
      / \
     3   6
    / \
   2   4
  /
 1
Output: 3

Thinking:

• Method 1：Inorder traversal

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public int kthSmallest(TreeNode root, int k) {
        if(root == null) return -1;
        List<Integer> result = new ArrayList<>();
        inorder(root, result, k);
        return result.get(k - 1);
    }
    private void inorder(TreeNode root, List<Integer> result, int k){
        if(root == null) return;
        inorder(root.left, result, k);
        result.add(root.val);
        if(result.size() == k) return;
        inorder(root.right, result, k);
    }
}

二刷

1. The method of this question is to add all numbers into the list by inorder traversal.
2. I added another quit point for recursive so it will significantly increase the efficiency.

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public int kthSmallest(TreeNode root, int k) {
        List<Integer> result = new LinkedList<>();
        inorder(result, root, k);
        return result.get(k - 1);
    }
    private void inorder(List<Integer> result, TreeNode node, int k){
        if(node == null || result.size() >= k){
            return;
        }
        inorder(result, node.left, k);
        result.add(node.val);
        inorder(result, node.right, k);
    }
}

Third Time

• Method 1: BST

   /**
    * Definition for a binary tree node.
    * public class TreeNode {
    *     int val;
    *     TreeNode left;
    *     TreeNode right;
    *     TreeNode(int x) { val = x; }
    * }
    */
   class Solution {
   	private List<Integer> res;
   	public int kthSmallest(TreeNode root, int k) {
   		this.res = new ArrayList<>();
   		dfs(root, k);
   		return this.res.get(k - 1);
   	}
   	private void dfs(TreeNode node, int k){
   		if(node == null || res.size() > k) return;
   		dfs(node.left, k);
   		this.res.add(node.val);
   		dfs(node.right, k);
   	}
   }