给定一个二叉树,检查它是否是镜像对称的
https://leetcode-cn.com/problems/symmetric-tree/
二叉树 [1,2,2,3,4,4,3]
是对称的。
1
/
2 2
/ \ /
3 4 4 3
[1,2,2,null,3,null,3]
则不是镜像对称的:
1
/
2 2
\
3 3
Java解法
package sj.shimmer.algorithm.m3_2021;
import java.util.ArrayList;
import java.util.List;
import sj.shimmer.algorithm.TreeNode;
/**
* Created by SJ on 2021/3/17.
*/
class D51 {
public static void main(String[] args) {
System.out.println(isSymmetric(TreeNode.getInstance(new Integer[]{1,2,2,3,4,4,3})));
System.out.println(isSymmetric(TreeNode.getInstance(new Integer[]{1,2,2,null,3,null,3})));
}
public static boolean isSymmetric(TreeNode root) {
List<TreeNode> treeNodeList = new ArrayList<>();
if (root != null) {
treeNodeList.add(root.left);
treeNodeList.add(root.right);
return check(treeNodeList);
}else {
return true;
}
}
public static boolean check(List<TreeNode> treeNodeList) {
//转换为List数组
List<TreeNode> temp = new ArrayList<>();
int size = treeNodeList.size();
boolean isEmpty = true;
for (int i = 0; i < size; i++) {
//第index层的父层 数量为index个;所以比较 index/2前后是否一致
if (i>size/2){//已对比完成,直接加入
if (treeNodeList.get(i)==null) {
temp.add(null);
temp.add(null);
}else {
isEmpty = false;
temp.add(treeNodeList.get(i).left);
temp.add(treeNodeList.get(i).right);
}
continue;
}
if (treeNodeList.get(i) == null) {
if (treeNodeList.get(size-1-i)==null){
temp.add(null);
temp.add(null);
}else{
return false;
}
} else {
if (treeNodeList.get(size - 1 - i) == null||treeNodeList.get(i).val != treeNodeList.get(size - 1 - i).val) {
return false;
}
isEmpty = false;
temp.add(treeNodeList.get(i).left);
temp.add(treeNodeList.get(i).right);
}
}
if (isEmpty) {
return true;
}
return check(temp);
}
}
官方解
https://leetcode-cn.com/problems/symmetric-tree/solution/dui-cheng-er-cha-shu-by-leetcode-solution/
-
递归
- 时间复杂度: O(n)
- 空间复杂度: O(n)
-
迭代
- 时间复杂度: O(n)
- 空间复杂度: O(n)