Flip Equivalent Binary Trees

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 equivalent or false otherwise.

Example 1
          1                     1
        /   \                 /   \
       2     3               3     2
      / \   /                 \   / \
     4   5  6                 6 4   5
        / \                      / \
       7   8                    8   7
Inputroot1 = [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]
Outputtrue
We flipped at nodes with values 1, 3, and 5.
Example 2
null        null
Inputroot1 = [], root2 = []
Outputtrue
Both trees are empty, so they are flip equivalent.

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].

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