I thought is might be fun to fill out a bracket by simulating the tournament using old results. Specifically, I want to know the value of P(n,m), the probability that an n seed defeats an m seed, where n and m both lie in between 1 and 16.
I know that P(1,16) = 1, and it will make sense to take P(n,n) = 1/2. Certain games have never been played in the tournament (e.g. P(15,16) is undefined) so I may as well take P(n,m) = 1/2 in each of these instances as well. I don’t know if n < m always implies P(n,m) >= 1/2. I’d like to know the historical value of P(n,m) whenever it is defined.
Tournament results are obviously available online, but I don’t feel like keying in a bunch of data. Mostly because it will be a pain in the neck and I am doing this for fun, but also because I will probably make a few mistakes that way. Are there databases of tournament results out there that I could use to quickly look up the results of all n vs. m matchups in the history of the 64-team tournament?