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        Arimaa >> General Discussion >> Endgame Puzzle 10
        
(Message started by: jdb on Apr 17th, 2011, 1:24pm)
Title: Endgame Puzzle 10
Post by jdb on Apr 17th, 2011, 1:24pm
Silver to play and win

1w Ra4 Dh4 Ca5
1b cb5 rd7
2w pass

http://109.74.204.218/arimaa/plan_js/plan_js.html

http://arimaa.com/arimaa/games/planGame.cgi
Title: Re: Endgame Puzzle 10
Post by Fritzlein on Apr 17th, 2011, 5:16pm
What a brain burner!  It looks ridiculously hopeless for Silver, as Gold seems to crush every attempt, but after half an hour, I think I finally have it:
2s rd7s rd6s rd5s cb5e
3g Dh4w Dg4w Df4w De4s (the only move to stop 3s cc5e rd4s rd3s rd2s)
3s rd4w rc4w cc5w
4g De3w Dd3s Dd2w Dc2w (the only move to stop 4s rb4s rb3w ra3s ra2s)
4s rb4e rc4e rd4e re4e
5g Db2e Dc2e Dd2e De2e (the only move to stop 5s rf4e rg4s rg3s rg2s)
5s rf4w re4w rd4w rc4w
6g Df2w De2w Dd2w Dc2w
6s rb4e rc4e rd4e re4e
7g Db2e Dc2e Dd2e De2e
7s rf4w re4w rd4w rc4w
and the only Gold 7g that stops goal would be three-fold repetition, so Silver wins on 8s.
Thanks, jdb!
Title: Re: Endgame Puzzle 10
Post by Hippo on Apr 17th, 2011, 6:12pm
Wow, nice motive. JDB@ was it generated by hand or was it taken from endgame tables?
Title: Re: Endgame Puzzle 10
Post by robinz on Apr 18th, 2011, 5:17am
I agree that it looks hopeless, and haven't yet found anything that works. It's soooo tempting to look at Fritzlein's solution, but I will try to resist for a while...
Title: Re: Endgame Puzzle 10
Post by jdb on Apr 18th, 2011, 8:20am

on 04/17/11 at 18:12:04, Hippo wrote:
Wow, nice motive. JDB@ was it generated by hand or was it taken from endgame tables?


All these puzzle are from endgame tables. I just look for interesting positions.

A summary of the tablebases is available at:

http://arimaa.com/arimaa/mwiki/index.php/Tablebase_Data
Title: Re: Endgame Puzzle 10
Post by Hippo on Apr 18th, 2011, 9:45am

on 04/18/11 at 08:20:53, jdb wrote:
All these puzzle are from endgame tables. I just look for interesting positions.

A summary of the tablebases is available at:

http://arimaa.com/arimaa/mwiki/index.php/Tablebase_Data


I was asking just because incorporating 3 times repetition to endgame tables needs nontrivial trick.
BTW: I have not solved that puzzle ... I have looked to Fritzlein's solution.
Title: Re: Endgame Puzzle 10
Post by ginrunner on Apr 18th, 2011, 11:47am
I didn't stand a chance on this one. I just looked at Fritz did. I would have never guessed that.
Title: Re: Endgame Puzzle 10
Post by Hippo on Jun 6th, 2011, 2:07am
I have tried bot_Hippo on this one. It took 37s to solve it.
Title: Re: Endgame Puzzle 10
Post by Tuks on Jun 6th, 2011, 3:45am
nice solution, got it in about five minutes...i'll check it against fritz's

wait, where is fritz's?

i think there are actually a few solutions, but they are after a set of forced moves
Title: Re: Endgame Puzzle 10
Post by Hippo on Jun 6th, 2011, 6:30am

on 06/06/11 at 03:45:24, Tuks wrote:
nice solution, got it in about five minutes...i'll check it against fritz's

wait, where is fritz's?

i think there are actually a few solutions, but they are after a set of forced moves

See puzzle 11 for sollution not based on repetition.
Title: Re: Endgame Puzzle 10
Post by Hippo on Jun 6th, 2011, 11:51am

on 06/06/11 at 02:07:09, Hippo wrote:
I have tried bot_Hippo on this one. It took 37s to solve it.

Hmmm, it solves the puzzles rather quickly, but the answers are sometimes wrong ... back to debugging.


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