The conversation between human and AI assistant.
How do I prove the relationship between nodes n, and height h of a FuII Binary Tree is 2h =(n+l) /2?
I think so. But how do we use that to prove the equation?
Good question. We can start by using the equation we assumed earlier: 2h = (n+1)/2. If we substitute 2h for n in the equation for 2n + 1, we get:
2(h+1) = (2n+1+1)/2
Simplifying this equation, we get:
2(h+1) = (n+2)/2
Which is the same as:
2(h+1) = [(n+1)+1]/2
And we know that the equation is true for h+1. This completes the proof.