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Symmetric Tree

Explore how to verify if a binary tree is symmetric by applying breadth-first search traversal. Understand the concept of a mirror tree and implement solutions using JavaScript to build problem-solving skills in tree algorithms.

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
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7

Try it yourself

Implement your solution in main.js in the following coding playground. We have provided a useful code template in the other file that you may build on to solve this problem.

JavaScript
usercode > main.js
// Definition of a binary tree node
// class TreeNode {
// constructor(data) {
// this.data = data;
// this.left = null;
// this.right = null;
// }
// }
import {TreeNode} from './ds_v1/BinaryTree.js';
import Queue from "./queue.js"
function isSymmetric(root) {
// Replace this placeholder return statement with your code
return false;
}
export { isSymmetric };
Symmetric Tree