Sam has closed his piano and gone to bed ... now we can talk about the real stuff of life ... love, liberty and games such as Janus, Capablanca Random, Embassy Chess & the odd mention of other 10x8 variants is welcome too
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Juan, the endings you mentioned would have to be some of the most treacherous possible! I could always write a program to solve the endings and report the results back so I would know how long the win would take from any position. I could then make this database avaialbe for everyone.
The problem is: the construction time is long and I would need to use about 4 computers to solve these endings.
My partner and I already generated large databases for the game of checkers. We have every solution for any endgame involving 8 pieces. That is roughly 111 billion positions!
We also have "distance to win" information for the 19 billion seven piece endings. This takes up 7 gigabytes on your hard drive in its compressed form!
So, just to let you know, I know how to solve endgames via retrograde analysis. Before we do something like A+P vs. R, we need to solve all of the endings such as:
A vs. R
AQ vs. R
AC vs. R
AA vs. R
AB vs. R
AN vs. R
Why? Because a pawn could promote to ANY one of those pieces, and we need to know the result of ALL of the conversion information before we can solve the pawn ending!
For this reason, it becomes a big task, but I am up for the challenge.
:-) It would certainly be interesting to see the results of such a database! The K+A+P vs K+R and K+R+P vs K+R certainly would be a very interesting test of the Archbishop versus Rook. I hadn't really intended for you to go to _that_ much work, though! I will go out on a limb and re-state my hypothesis that the Archbishop and Rook would be approximately equal in an endgame. So, if you do create such a database, I want to be one of the first to be told of the results! :-) :-)
By the way, thank you so very much for taking the time to contribute your pioneering knowledge of Gothic Chess. I, for one, appreciate it very much!