1. 翻转二叉树

题目如下:
img_14.png
img_15.png

题解:
仔细观察发现,就是每个节点进行left和right进行对调。这里可以使用递归
代码如下:

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/**
* 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 TreeNode invertTree(TreeNode root) {
//开始进行左右节点对调()当前
if (root == null) return null;

TreeNode node = root.left;
root.left = root.right;
root.right = node;

invertTree(root.left);
invertTree(root.right);

return root;
}
}

2. 对称二叉树

题目如下:
img_16.png
img_17.png

题解:
对称二叉树比较的是当前根节点的子节点是否相同,之后就是根节点的两个子节点(假设A,B),只有A和B相等了才会比较A和B的节点
之后就是比较A的left和B的right节点是否相同,A的right和B的left节点是否相同,这三个条件要同时满足。所以代码如下:

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/**
* 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 boolean isSymmetric(TreeNode root) {
if(root==null) return false;
return is(root.left,root.right);
}

Boolean is(TreeNode left,TreeNode right){
if (left == null && right == null) return true;
if (left == null || right == null) return false;

is(left.right,right.left);
is(left.left,right.left);

return left.val == right.val
&& is(left.right, right.left)
&& is(left.left, right.right);
}
}

3. 二叉树的直径

题目:
img_18.png
img_19.png

题解:
这个题目求最大直径(可以不过节点),就是求比较每个当前节点和全局节点的直径大小。
这里的递归是从下到上的。

代码:

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/**
* 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 maxLong = 0;
public int diameterOfBinaryTree(TreeNode root) {
if (root == null) return 0;
dep(root);
return maxLong;
}

int dep(TreeNode root){
//边界条件
if(root == null) return 0;

int left = dep(root.left);
int right = dep(root.right);

// 当前最大直径和全局最大直径进行比较
maxLong = Math.max(maxLong,left+right);

// 当前节点到父节点的距离
return Math.max(left,right)+1;
}
}