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Old 11-14-2009, 08:00 AM   #1
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Default Pawn Duel

"There are three pieces on the chess board left hand. First turn belongs to white ones. Pawns can go forward or backward. Goal of the game is to let no moves for your opponent."

How can I win in this game [Don't read answer below ;)]? - Pawn Duel online

Last edited by okay; 11-25-2009 at 10:38 AM.
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Old 11-14-2009, 04:17 PM   #2
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Default Re: Pawn Duel

Well, I give up. :)
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Old 11-15-2009, 07:05 AM   #3
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Default Re: Pawn Duel

Let three numbers x-y-z describe the game state by giving the number of spaces between the pawns. For example, at the start of the game the game state is 6-6-6. There are two basic "always win" options the computer player is going for after its moves:

a) n-n-0, where n is any number. (Note that this is the reason to prohibit players from moving past the half-way mark at the beginning of the game; otherwise, the first move would be to collapse a column immediately to bring the game to 6-6-0.) After reaching this state, you merely mirror the opponent's moves.

b) 3-2-1. This is another scenario that you can always win from, because whatever your opponent does, you can create either a 2-2-0 or a 1-1-0 from it.

It is not possible to beat the player that moves first. This appears to be the most "defensive" sequence that the AI will follow when you move first:

Code:
You    AI
6-6-4  6-4-3
6-4-2  5-4-2
5-4-1  5-3-1 (Gotcha!)
3-2-1
This has created one of the simple winning scenarios. The remainder of the game, for completeness:

Code:
3-2-1  2-2-1
2-2-0  2-1-0
1-1-0  1-0-0 
0-0-0
Interesting puzzle. :)
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Old 11-15-2009, 01:53 PM   #4
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Default Re: Pawn Duel

but if AI answers 6-5-4?
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Old 11-15-2009, 04:29 PM   #5
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Default Re: Pawn Duel

Quote:
Originally Posted by okay View Post
but if AI answers 6-5-4?
You respond 5-4-1.
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Old 11-16-2009, 03:46 AM   #6
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Default Re: Pawn Duel

Ah, so true. Sorry for my previous quick question and Thank You for your responses!
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Old 11-16-2009, 03:17 PM   #7
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Default Re: Pawn Duel

Thanks. Now I don't feel so bad about losing every single time. (The game glitched when the sides switched, so I just refreshed the page -- hence, I always played black.) It's basically Tic-Tac-Toe.
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Old 11-16-2009, 03:32 PM   #8
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Default Re: Pawn Duel

I am lol-ing
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