101.Symmetric Tree

本文介绍了一种检查二叉树是否为中心对称的方法,通过递归比较左子树和右子树的节点,判断树是否为自身的镜像。提供了Python代码实现,并附有示例说明。

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

Note:
Bonus points if you could solve it both recursively and iteratively.

class Solution:
    def isSymmetric(self, root):
        """
        :type root: TreeNode
        :rtype: bool
        """
        def com(left,right):
            if left is None and right is None:
                return True
            if left is None or right is None:
                return False
            if left.val!=right.val:
                return False
            return com(left.left,right.right) and com(left.right,right.left)
        if not root:
            return True
        return com(root.left,root.right)

转载于:https://www.cnblogs.com/bernieloveslife/p/9760423.html

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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