Arimaa Forum - Print Page


    
      
        Arimaa Forum
        (http://arimaa.com/arimaa/forum/cgi/YaBB.cgi)
      

        Arimaa >> General Discussion >> Endgame Study 3, Three Steps is Best
        
(Message started by: jdb on Nov 25^th, 2006, 1:29pm)

Title: Endgame Study 3, Three Steps is Best
Post by jdb on Nov 25^th, 2006, 1:29pm

Using the tournament ruleset, who wins the following position and in how many moves?

1w Rg2 Ef4
1b ee4 rg7
2w pass

The planning window is located at
http://arimaa.com/arimaa/games/planGame.cgi

Title: Re: Endgame Study 3, Three Steps is Best
Post by chessandgo on Nov 25^th, 2006, 2:44pm

this one is tough ...
given the title of the problem, I'd say silver plays e to g5 and wins, but ...
as for how many moves, I have noooooo idea ... I bet 6 or 7 ;)

Title: Re: Endgame Study 3, Three Steps is Best
Post by chessandgo on Nov 25^th, 2006, 3:10pm

ah well, it doesn't seem to work ... my bad.

Title: Re: Endgame Study 3, Three Steps is Best
Post by Fritzlein on Nov 25^th, 2006, 3:16pm

I should be careful after missing the point of the previous study, but it seems to me that Silver has a safe and straightforward win after 1b ee4s ee3s ee2e rg7e. Gold is tied to the defense of his lone rabbit, and thus can't undertake anything. Silver's plan is to flip the Gold rabbit to the center, where it can eventually be forked between c3 and f3. If the Gold elephant moves to the center to prevent this, then the silver h-rabbit advances and decides the game.

Gold's only attempt at active defense appears to be 2w Ef4e Eg4s Rg2e Rh2n, but then 2b ef2e eg2e eh2w Rh3s followed by the same plan for Silver.

My solution, however, doesn't touch the theme of "Three Steps is Best", so maybe it isn't a solution, or maybe there is a faster solution with a three-step key, such as chessandgo's suggestion.

Title: Re: Endgame Study 3, Three Steps is Best
Post by chessandgo on Nov 25^th, 2006, 3:31pm

indeed Karl, your move looks good. I don't understand the title either :)

Title: Re: Endgame Study 3, Three Steps is Best
Post by jdb on Nov 25^th, 2006, 5:32pm

Quote:

Gold's only attempt at active defense appears to be 2w Ef4e Eg4s Rg2e Rh2n, but then 2b ef2e eg2e eh2w Rh3s followed by the same plan for Silver.

2w Ef4e Eg4s Rg2e Eg3s

Title: Re: Endgame Study 3, Three Steps is Best
Post by Fritzlein on Nov 25^th, 2006, 6:50pm

on 11/25/06 at 17:32:46, jdb wrote:

2w Ef4e Eg4s Rg2e Eg3s

Oops, back to the drawing board. JDB, are these positions computer-generated, or just computer-checked, or are they entirely due to your own imagination?

Title: Re: Endgame Study 3, Three Steps is Best
Post by RonWeasley on Nov 26^th, 2006, 8:34am

I think I see silver in 5.

The first move is ee4n rg7w rf7w.

This is the only move I can find where silver wins.

Title: Re: Endgame Study 3, Three Steps is Best
Post by jdb on Nov 27^th, 2006, 8:44am

Quote:

The first move is ee4n rg7w rf7w.

This is the only move I can find where silver wins.

You are correct.