Flip Equivalent Binary Trees
Explore how to verify if two binary trees are flip equivalent by recursively swapping child subtrees in Rust. Understand base conditions, recursive checks, and complexity measures to solve this problem effectively.
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Description
Let’s start by defining what a flip operation for a binary tree is. We can define it as:
“Choosing any node and swapping the right and left child subtrees.”
A binary tree, T, is flip equivalent to another binary tree, S, if we can make T equal to S after some number of flip operations.
Given the roots of two binary trees, root1 and root2, you have to find out whether the trees are flip equivalent to each other or not. The flip_equiv function should return true if the binary trees are equivalent. Otherwise, it will return false.
Example
Let’s look at the example below:
Do it yourself!
Solution
We implement the flip_equiv function using recursion. Like any recursive function, we start by defining the base conditions. We have two base conditions:
-
If
root1orroot2is null, they are equivalent if and only if they are bothNone. -
If
root1androot2have different values, they aren’t equivalent.
Lastly, we move on to the ...