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add: BinaryTreeSymmetry
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java/Trees/BinaryTreeSymmetry.java

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import DS.TreeNode;
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/*
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// Definition of TreeNode:
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class TreeNode {
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public int val;
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public TreeNode left;
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public TreeNode right;
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public TreeNode(int val) {
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this.val = val;
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}
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}
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*/
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public class BinaryTreeSymmetry {
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public boolean binaryTreeSymmetry(TreeNode root) {
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if (root == null) {
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return true;
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}
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return compareTrees(root.left, root.right);
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}
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private boolean compareTrees(TreeNode node1, TreeNode node2) {
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// Base case: if both nodes are null, they're symmetric.
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if (node1 == null && node2 == null) {
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return true;
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}
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// If one node is null and the other isn't, they aren't symmetric.
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if (node1 == null || node2 == null) {
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return false;
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}
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// If the values of the current nodes don't match, trees aren't symmetric.
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if (node1.val != node2.val) {
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return false;
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}
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// Compare the 'node1's left subtree with 'node2's right subtree. If these
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// aren't symmetric, the whole tree is not symmetric.
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if (!compareTrees(node1.left, node2.right)) {
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return false;
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}
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// Compare the 'node1's right subtree with 'node2's left subtree.
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return compareTrees(node1.right, node2.left);
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}
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}

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