Idea of Proof
use banking metaphor.
- You will give me O( log n) dollars per dictionary operation
- I will either save it or use it to pay for the rotations I do.
- If I do a Splay operation that consists of d basic steps, I will pay you d dollars.
- My only source of money is what you give me.
- If I can show that I never fail to pay you for the operations, then we can argue that the total cost of m operations is O( m log n)