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Symmetric Tree

Explore how to identify symmetric binary trees by using breadth-first search traversal. This lesson guides you through recognizing tree structures that mirror around their root and helps build skills in solving such tree problems efficiently.

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Statement

Given the root of a binary tree, check whether it is a symmetric tree. A symmetric tree refers to a tree that is a mirror of itself, i.e., symmetric around its root.

Constraints:

  • The tree contains nodes in the range [1,500][1, 500].
  • −103≤-10^3 \le Node.data ≤103\le 10^3

Examples

Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

Symmetric Tree

1.

What will be the output if the following tree is given as input?

tree = [25, 4, 67, 2, 3, 3, 2]

          __ 25 __ 
         |        |
       _ 4 _    _ 67 _ 
      |     |  |      |
      2     3  3      2
A.

TRUE

B.

FALSE

1 / 3

Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.
1
2
3
4
5
6
7

Try it yourself

Implement your solution in the following coding playground.

Java
usercode > Solution.java
// Definiton of a binary tree node class

// class TreeNode<T> {

//     T data;

//     TreeNode<T> left;

//     TreeNode<T> right;



//     TreeNode(T data) {

//         this.data = data;

//         this.left = null;

//         this.right = null;

//     }

// }



import java.util.*;

import ds_v1.BinaryTree.TreeNode;





public class Solution{

    public static boolean isSymmetric(TreeNode<Integer> root) {

    

    // Replace this placeholder return statement with your code

    

    return false;

  }

}
Symmetric Tree