二叉搜索树中第K小的元素 🌟🌟🌟中等

课后作业

问题描述

原文链接:230. 二叉搜索树中第K小的元素

给定一个二叉搜索树的根节点 root ,和一个整数 k ,请你设计一个算法查找其中第 k 个最小元素(从 1 开始计数)。

示例 1:

img

输入:root = [3,1,4,null,2], k = 1
输出:1

示例 2:

img

输入:root = [5,3,6,2,4,null,null,1], k = 3
输出:3

提示:

  • 树中的节点数为 n
  • 1 <= k <= n <= 104
  • 0 <= Node.val <= 104

代码实现

Java

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    int k = 0;
    int target = 0;
    public int kthSmallest(TreeNode root, int k) {
        this.k = k;
        dfs(root);
        return target;
    }

    void dfs(TreeNode root){
        if(root == null || k <= 0){
            return;
        }
        dfs(root.left);
        if(k == 1){
            target = root.val;
            k--;
            return;
        }
        k--;
        dfs(root.right);

    }
}

Python

# Definition for a binary tree node.
# class TreeNode(object):
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution(object):
    def kthSmallest(self, root, k):
        """
        :type root: TreeNode
        :type k: int
        :rtype: int
        """
        self.k = k
        self.target = None
        self.dfs(root)
        return self.target

    def dfs(self, root):
        if not root or self.k <= 0:
            return
        self.dfs(root.left)
        if self.k == 1:
            self.target = root.val
            self.k -= 1
            return
        self.k -= 1
        self.dfs(root.right)

C++

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    int k;
    int target;
    int kthSmallest(TreeNode* root, int k) {
        this->k = k;
        dfs(root);
        return target;
    }

    void dfs(TreeNode* root){
        if(!root || k <= 0){
            return;
        }
        dfs(root->left);
        if(k == 1){
            target = root->val;
            k--;
            return;
        }
        k--;
        dfs(root->right);
    }
};

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