1,问题简述
给定一棵二叉搜索树,请找出其中第k大的节点。
2,示例
示例 1:
输入: root = [3,1,4,null,2], k = 1
3
/ \
1 4
\
2
输出: 4
示例 2:
输入: root = [5,3,6,2,4,null,null,1], k = 3
5
/ \
3 6
/ \
2 4
/
1
输出: 4
限制:
1 ≤ k ≤ 二叉搜索树元素个数
3,题解思路
迭代,时间复杂度高,目前先实现,后续在用深度优先遍历的方式解决
4,题解程序
import java.util.*;
public class KthLargestTest2 {
public static void main(String[] args) {
TreeNode t1 = new TreeNode(5);
TreeNode t2 = new TreeNode(3);
TreeNode t3 = new TreeNode(6);
TreeNode t4 = new TreeNode(2);
TreeNode t5 = new TreeNode(4);
TreeNode t6 = new TreeNode(1);
t1.left = t2;
t1.right = t3;
t2.left = t4;
t2.right = t5;
t4.left = t6;
int k = 3;
int kthLargest = kthLargest(t1, k);
System.out.println("kthLargest = " + kthLargest);
KthLargestTest2 test2 = new KthLargestTest2();
int kthLargest2 = test2.kthLargest2(t1, k);
System.out.println("kthLargest2 = " + kthLargest2);
}
public static int kthLargest(TreeNode root, int k) {
if (root == null) {
return -1;
}
if (root.left == null && root.right == null) {
return root.val;
}
Queue<TreeNode> queue = new LinkedList<>();
queue.add(root);
List<Integer> list = new ArrayList<>();
while (!queue.isEmpty()) {
int size = queue.size();
for (int i = 0; i < size; i++) {
TreeNode node = queue.poll();
list.add(node.val);
if (node.left != null) {
queue.add(node.left);
}
if (node.right != null) {
queue.add(node.right);
}
}
}
Collections.sort(list, Comparator.reverseOrder());
return list.get(k - 1);
}
int res;
int k;
public int kthLargest2(TreeNode root, int k) {
this.k = k;
dfs(root);
return res;
}
private void dfs(TreeNode root) {
if (root == null) {
return;
}
dfs(root.right);
if (k == 0) {
return;
}
if (--k == 0) {
res = root.val;
}
dfs(root.left);
}
}
5,题解程序图片版
6,总结
现在输出的内容都是之前写的,但是没有整理成一篇篇文章,这里就想着慢慢把之前的题都整理成一套,目前在输出几十篇,我也不知道什么时候能输出完成,慢慢输出吧,帮助自己的同时,能帮助到需要的人是再好不过了。