对称二叉树 🌟🌟🌟简单

课后作业

问题描述

原文链接:101. 对称二叉树

给你一个二叉树的根节点 root , 检查它是否轴对称。

示例 1:

img

输入:root = [1,2,2,3,4,4,3]
输出:true

示例 2:

img

输入:root = [1,2,2,null,3,null,3]
输出:false

提示:

  • 树中节点数目在范围 [1, 1000]
  • -100 <= Node.val <= 100

代码实现

Java

/**
 * 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 || (root.left == null && root.right == null)){
            return true;
        }
        return f(root.left, root.right);
    }

    // 判断 A 和 B 是否互为镜像二叉树
    boolean f(TreeNode A, TreeNode B){
        if(A == null && B == null){
            return true;
        }
        // 一个为 null 一个不为 null
        if(A == null || B == null){
            return false;
        }

        if(A.val != B.val){
            return false;
        }

        return f(A.left, B.right) && f(A.right, B.left);
    }
}

Python

# Definition for a binary tree node.
# class TreeNode(object):
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution(object):
    def isSymmetric(self, root):
        """
        :type root: TreeNode
        :rtype: bool
        """
        if not root or (not root.left and not root.right):
            return True

        return self.f(root.left, root.right)

    # 判断 A 和 B 是否互为镜像二叉树
    def f(self, A, B):
        if not A and not B:
            return True
        # 一个为 None 一个不为 None
        if not A or not B:
            return False

        if A.val != B.val:
            return False

        return self.f(A.left, B.right) and self.f(A.right, B.left)

C++

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    bool isSymmetric(TreeNode* root) {
        if (!root || (!root->left && !root->right)){
            return true;
        }

        return f(root->left, root->right);
    }

    // 判断 A 和 B 是否互为镜像二叉树
    bool f(TreeNode* A, TreeNode* B){
        if (!A && !B){
            return true;
        }
        // 一个为 nullptr 一个不为 nullptr
        if (!A || !B){
            return false;
        }

        if (A->val != B->val){
            return false;
        }

        return f(A->left, B->right) && f(A->right, B->left);
    }
};

Go

/**
 * Definition for a binary tree node.
 * type TreeNode struct {
 *     Val int
 *     Left *TreeNode
 *     Right *TreeNode
 * }
 */
func isSymmetric(root *TreeNode) bool {
    if root == nil || (root.Left == nil && root.Right == nil){
        return true
    }

    return f(root.Left, root.Right)
}

// 判断 A 和 B 是否互为镜像二叉树
func f(A, B *TreeNode) bool {
    if A == nil && B == nil{
        return true
    }
    // 一个为 nil 一个不为 nil
    if A == nil || B == nil{
        return false
    }

    if A.Val != B.Val{
        return false
    }

    return f(A.Left, B.Right) && f(A.Right, B.Left)
}

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