0%

Leetcode 104 Maximum Depth Of Binary Tree

Given a binary tree, find its maximum depth.

The maximum depth is the number of nodes along the longest path from the root node down to the farthest leaf node.

Note: A leaf is a node with no children.

Example:

Given binary tree [3,9,20,null,null,15,7],

1
2
3
4
5
  3
/ \
9 20
/ \
15 7

return its depth = 3.

1 递归

直接递归非常简单

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
/**
* 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 {
public int maxDepth(TreeNode root) {
return root == null ? 0 : Math.max(maxDepth(root.left) + 1, maxDepth(root.right) + 1);
}
}

2 BFS

每一次将一层的节点(非空)加入队列, 看看一共加入了多少次.

比递归稍慢.

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
/**
* 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 {
public int maxDepth(TreeNode root) {
Queue<TreeNode> q = new LinkedList<>();
if(root == null)
return 0;
q.offer(root);
int depth = 0;
while(!q.isEmpty())
{
int size = q.size();
while(size != 0)
{
TreeNode tmp = q.poll();
if(tmp.left != null)
q.offer(tmp.left);
if(tmp.right != null)
q.offer(tmp.right);
--size;
}
++depth;
}
return depth;
}
}