101. Symmetric Tree

本文介绍了一种检查二叉树是否为自身镜像(即中心对称)的方法。通过对二叉树进行递归比较左右子树的方式,判断其是否满足对称条件。文章通过具体示例解释了这一过程,并提供了实现代码。

Given a binary tree, check whether it is a mirror of itself (ie, symmetric around its center).

For example, this binary tree [1,2,2,3,4,4,3] is symmetric:

    1
   / \
  2   2
 / \ / \
3  4 4  3

But the following [1,2,2,null,3,null,3] is not:

    1
   / \
  2   2
   \   \
   3    3

思路:这种true or false的问题,第一想到的是递归

不知道一刷是怎么想到层序遍历的。。。。。。


/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    public boolean isSymmetric(TreeNode root) {
        
        if(root == null)
            return true;
        
        return isSymmetric(root.left, root.right);
    }

	private boolean isSymmetric(TreeNode left, TreeNode right) {
		if(left == null && right == null)
        	return true;
        if(left == null)
        	return false;
        if(right == null)
        	return false;
        return left.val == right.val && isSymmetric(left.left, right.right) && isSymmetric(left.right, right.left);
	}
}



2025-09-01 17:23:58 INFO com.putian.datapush.presto.PrestoServiceImpl - cn.hutool.crypto.CryptoException: SecurityException: JCE cannot authenticate the provider BC at cn.hutool.crypto.SecureUtil.createCipher(SecureUtil.java:1034) at cn.hutool.crypto.CipherWrapper.<init>(CipherWrapper.java:39) at cn.hutool.crypto.symmetric.SymmetricCrypto.init(SymmetricCrypto.java:150) at cn.hutool.crypto.symmetric.SymmetricCrypto.<init>(SymmetricCrypto.java:127) at cn.hutool.crypto.symmetric.SymmetricCrypto.<init>(SymmetricCrypto.java:115) at cn.hutool.crypto.symmetric.SymmetricCrypto.<init>(SymmetricCrypto.java:104) at com.putian.common.secure.SecureUtil.sm4Encrypt(SecureUtil.java:1443) at com.putian.datapush.service.PushDataService.executeEncipher(PushDataService.java:452) at com.putian.datapush.service.PushDataService.encipher(PushDataService.java:407) at com.putian.datapush.service.PushDataService.makeUpData(PushDataService.java:360) at com.putian.datapush.service.PushDataService.processInBatches(PushDataService.java:307) at com.putian.PushDataJobStartor.main(PushDataJobStartor.java:35) Caused by: java.lang.SecurityException: JCE cannot authenticate the provider BC at javax.crypto.Cipher.getInstance(Cipher.java:662) at cn.hutool.crypto.SecureUtil.createCipher(SecureUtil.java:1032) ... 11 more Caused by: java.util.jar.JarException: file:/home/dataShared/job/putian-data-pushdata.jar has unsigned entries - cn/hutool/Hutool.class at javax.crypto.JarVerifier.verifySingleJar(JarVerifier.java:510) at javax.crypto.JarVerifier.verifyJars(JarVerifier.java:371) at javax.crypto.JarVerifier.verify(JarVerifier.java:297) at javax.crypto.JceSecurity.verifyProviderJar(JceSecurity.java:164) at javax.crypto.JceSecurity.getVerificationResult(JceSecurity.java:190) at javax.crypto.Cipher.getInstance(Cipher.java:658) ... 12 more 2025-09-01 17:24:02 ERROR com.putian.PushDataJobStartor - 数据推送任务运行失败! cn.hutool.crypto.CryptoException: SecurityException: JCE cannot authenticate the provider BC at cn.hutool.crypto.SecureUtil.createCipher(SecureUtil.java:1034) at cn.hutool.crypto.CipherWrapper.<init>(CipherWrapper.java:39) at cn.hutool.crypto.symmetric.SymmetricCrypto.init(SymmetricCrypto.java:150) at cn.hutool.crypto.symmetric.SymmetricCrypto.<init>(SymmetricCrypto.java:127) at cn.hutool.crypto.symmetric.SymmetricCrypto.<init>(SymmetricCrypto.java:115) at cn.hutool.crypto.symmetric.SymmetricCrypto.<init>(SymmetricCrypto.java:104) at com.putian.common.secure.SecureUtil.sm4Encrypt(SecureUtil.java:1443) at com.putian.datapush.service.PushDataService.executeEncipher(PushDataService.java:452) at com.putian.datapush.service.PushDataService.encipher(PushDataService.java:407) at com.putian.datapush.service.PushDataService.makeUpData(PushDataService.java:360) at com.putian.datapush.service.PushDataService.processInBatches(PushDataService.java:307) at com.putian.PushDataJobStartor.main(PushDataJobStartor.java:35) Caused by: java.lang.SecurityException: JCE cannot authenticate the provider BC at javax.crypto.Cipher.getInstance(Cipher.java:662) at cn.hutool.crypto.SecureUtil.createCipher(SecureUtil.java:1032) 这个问题的解决办法?
09-03
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