I'm trying to re-create this conquerclub (Risk-like) game:
http://conquerclub.barrycarter.info/ONEOFF/7460216.html
In other words, I want to know who owned each territory at each point in time, and how many troops they had on that territory. My primary source of information is the Game Log. Notes:
% It's not in the Game Log, but all territories start w/ 3 troops.
% Since we know the territory owners at the end of the game, and the Game Log mentions all owner changes, determining territory owners at any point in time is easy.
% The challenge is to find the number of troops on a territory at a given time.
% The Game Log gives information on troop deployment, reinforcement, and conquest.
% However, the Game Log is incomplete. Suppose territory X attacks territory Y unsuccessfully, but both territories lose troops in the process. The Game Log will not mention this.
% It's probably not possible (in general) to find the exact number of troops on a territory at a given time, so I'm looking for a range.
% I tried feeding the data to Mathematica as a series of inequalities, but as the manual warns, the computation time increases exponentially with the number of inequalities. Even with a fairly small number of inequalities, it hangs. Plus, I'm not convinced Mathematica is the right tool here.
% Any thoughts? Another example is: http://conquerclub.barrycarter.info/ONEOFF/7562013.html
% I know about http://userscripts.org/scripts/show/83035 but that only tracks \ owners, not number of troops.