For a binary tree T, we can define a flip operation as follows: choose any node, and swap the left and right child subtrees.

A binary tree X is flip equivalent to a binary tree Y if and only if we can make X equal to Y after some number of flip operations.

Given the roots of two binary trees root1 and root2, return true if the two trees are flip equivelent or false otherwise.

Example 1: Flipped Trees Diagram

ex1

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Input: root1 = [1,2,3,4,5,6,null,null,null,7,8], root2 = [1,3,2,null,6,4,5,null,null,null,null,8,7]
Output: true
Explanation: We flipped at nodes with values 1, 3, and 5.

Example 2:

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Input: root1 = [], root2 = []
Output: true

Example 3:

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Input: root1 = [], root2 = [1]
Output: false

Example 4:

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Input: root1 = [0,null,1], root2 = []
Output: false

Example 5:

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Input: root1 = [0,null,1], root2 = [0,1]
Output: true

Constraints:

  • The number of nodes in each tree is in the range [0, 100].
  • Each tree will have unique node values in the range [0, 99].

Solution:

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/**
 * 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 flipEquiv(TreeNode root1, TreeNode root2) {
        if (root1 == null && root2 == null) {
            return true;
        }
        if (root1 != null && root2 == null) {
            return false;
        }
        if (root1 == null && root2 != null) {
            return false;
        }
        if (root1.val != root2.val) {
            return false;
        }
        // 2 eq 3 and 3 eq 2 || 2 eq 2 and 3 eq 3
       return (flipEquiv(root1.left, root2.left) && flipEquiv(root1.right, root2.right)) || (flipEquiv(root1.left, root2.right) && flipEquiv(root1.right, root2.left));
    }
}