Author Topic: 3-Piece Musketeer Chess Endgame Tablebases Solved  (Read 369 times)

GothicChessInventor

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3-Piece Musketeer Chess Endgame Tablebases Solved
« on: January 12, 2018, 08:34:50 pm »
I solved the complete set for every position involving King + Piece vs. Piece for the game of Musketeer Chess.

This includes:

KNIGHT, BISHOP, ROOK, QUEEN, HAWK, UNICORN, LEOPARD, ELEPHANT, CANNON, FORTRESS, SPIDER, ARCHBISHOP, CHANCELLOR and DRAGON.

I need volunteers to "sign up" to test playing against the tablebase to make sure they are correct. There is no need to test the Knight, Bishop, and Unicorn tablebases. The Unicorn has only mate-in-1 positions that cannot be forced. Other than those exceptions, those 3 databases contain all draws.

I need one volunteer for each piece type, and each side to move.

If playing the winning side, the program will announce the winning distance. If you win faster, the tablebases are incorrect. If the program defends longer, you made a non-optimal move.
If playing the losing side, if you lose in more moves than the program predicted, that means the tablesbases are incorrect. If the program beats you faster, you made a non-optimal move.

I'll give $100 to the person with the best score, graded against the tablebases, if the tablebases indeed are correct.

I will seek volunteers until they are correct. I am pretty sure they are, but you never know.

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GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #1 on: January 12, 2018, 08:39:54 pm »
I'll post images of the longest wins and longest losses. I am in the process of data mining for them.

Asher Hurowitz

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #2 on: January 12, 2018, 10:16:05 pm »
I volunteer
Indeed it is certain that Chess Variants make me happy.

My Youtube Channel on Chess Variants
https://www.youtube.com/channel/UCb-lm6a8XZo0eqAhfR4QWOg

My Lecture at Yale University, aged 13
https://www.youtube.com/watch?v=smDO2Dpx5tg

My Youtube Channel on Rubik's Cube
Search"Polyhedral Paradise"

GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #3 on: January 13, 2018, 01:29:02 am »
Code: [Select]
The 3-piece endgame: King + Knight vs. King has no wins for white to move.

The 3-piece endgame: King + Knight vs. King has no wins for black to move.

The 3-piece endgame: King + Knight vs. King has no losses when it is white to move.

The 3-piece endgame: King + Knight vs. King has no losses when it is black to move.

The 3-piece endgame: King + Bishop vs. King has no wins for white to move.

The 3-piece endgame: King + Bishop vs. King has no wins for black to move.

The 3-piece endgame: King + Bishop vs. King has no losses when it is white to move.

The 3-piece endgame: King + Bishop vs. King has no losses when it is black to move.


8  . R . . . . . .
7  . . . . . . . .
6  . . k . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . K

   a b c d e f g h

The 3-piece endgame: King + Rook vs. King has a win in 031-ply (016 moves for white) with white to move.

The 3-piece endgame: King + Rook vs. King has no wins for black to move.

The 3-piece endgame: King + Rook vs. King has no losses when it is white to move.


8  . . . . . . . .
7  . k . . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . R . .
2  . . . . . . . .
1  . . . . . . . K

   a b c d e f g h

The 3-piece endgame: King + Rook vs. King has a loss in 032-ply (016 moves for black) with black to move.


8  . . . . . . . .
7  . . . . . . . .
6  . . . k . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . Q .
1  . . . . . . . K

   a b c d e f g h

The 3-piece endgame: King + Queen vs. King has a win in 019-ply (010 moves for white) with white to move.

The 3-piece endgame: King + Queen vs. King has no wins for black to move.

The 3-piece endgame: King + Queen vs. King has no losses when it is white to move.


8  . . . . . . . .
7  . . k . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . Q .
1  . . . . . . . K

   a b c d e f g h

The 3-piece endgame: King + Queen vs. King has a loss in 020-ply (010 moves for black) with black to move.


8  K . k . . . . .
7  . . . . . . . .
6  . H . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Hawk vs. King has a win in 055-ply (028 moves for white) with white to move.

The 3-piece endgame: King + Hawk vs. King has no wins for black to move.

The 3-piece endgame: King + Hawk vs. King has no losses when it is white to move.


8  K . k . . . . .
7  . H . . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Hawk vs. King has a loss in 056-ply (028 moves for black) with black to move.

The 3-piece endgame: King + Unicorn vs. King has no wins for white to move.

The 3-piece endgame: King + Unicorn vs. King has no wins for black to move.

The 3-piece endgame: King + Unicorn vs. King has no losses when it is white to move.

The 3-piece endgame: King + Unicorn vs. King has no losses when it is black to move.


8  K . k . . . . L
7  . . . . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Leopard vs. King has a win in 033-ply (017 moves for white) with white to move.

The 3-piece endgame: King + Leopard vs. King has no wins for black to move.

The 3-piece endgame: King + Leopard vs. King has no losses when it is white to move.


8  L . k . . . . K
7  . . . . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Leopard vs. King has a loss in 034-ply (017 moves for black) with black to move.


8  E K . . . . . .
7  . . . k . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Elephant vs. King has a win in 025-ply (013 moves for white) with white to move.

The 3-piece endgame: King + Elephant vs. King has no wins for black to move.

The 3-piece endgame: King + Elephant vs. King has no losses when it is white to move.


8  E K . k . . . .
7  . . . . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Elephant vs. King has a loss in 026-ply (013 moves for black) with black to move.


8  K O . . . . . .
7  . . . . . . . .
6  . . k . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Cannon vs. King has a win in 029-ply (015 moves for white) with white to move.

The 3-piece endgame: King + Cannon vs. King has no wins for black to move.

The 3-piece endgame: King + Cannon vs. King has no losses when it is white to move.


8  K O . . . . . .
7  . . . k . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Cannon vs. King has a loss in 030-ply (015 moves for black) with black to move.


8  K . . . . . F .
7  . . . . . . . .
6  . k . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Fortress vs. King has a win in 029-ply (015 moves for white) with white to move.

The 3-piece endgame: King + Fortress vs. King has no wins for black to move.

The 3-piece endgame: King + Fortress vs. King has no losses when it is white to move.


8  F . . . . . . K
7  . . k . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Fortress vs. King has a loss in 030-ply (015 moves for black) with black to move.


8  S . . . . . . K
7  . . . k . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Spider vs. King has a win in 021-ply (011 moves for white) with white to move.

The 3-piece endgame: King + Spider vs. King has no wins for black to move.

The 3-piece endgame: King + Spider vs. King has no losses when it is white to move.


8  . . k . . . S .
7  . . . . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  K . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Spider vs. King has a loss in 022-ply (011 moves for black) with black to move.


8  K . . . . A . .
7  . . k . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Archbishop vs. King has a win in 033-ply (017 moves for white) with white to move.

The 3-piece endgame: King + Archbishop vs. King has no wins for black to move.

The 3-piece endgame: King + Archbishop vs. King has no losses when it is white to move.


8  K . k . . A . .
7  . . . . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Archbishop vs. King has a loss in 034-ply (017 moves for black) with black to move.


8  . . . . . . . .
7  . . k . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . C . . . . . K

   a b c d e f g h

The 3-piece endgame: King + Chancellor vs. King has a win in 021-ply (011 moves for white) with white to move.

The 3-piece endgame: King + Chancellor vs. King has no wins for black to move.

The 3-piece endgame: King + Chancellor vs. King has no losses when it is white to move.


8  . . k . . . . .
7  . . . . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . C . . . . . K

   a b c d e f g h

The 3-piece endgame: King + Chancellor vs. King has a loss in 022-ply (011 moves for black) with black to move.


8  . . . . . . . .
7  . . k . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . K .
3  . . . . . . . D
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Dragon vs. King has a win in 007-ply (004 moves for white) with white to move.

The 3-piece endgame: King + Dragon vs. King has no wins for black to move.

The 3-piece endgame: King + Dragon vs. King has no losses when it is white to move.


8  . k . . . . . .
7  . . . . . . . .
6  . . . . . . . .
5  . . . . . . . .
4  . . . . . . K .
3  . . . . . . . D
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

The 3-piece endgame: King + Dragon vs. King has a loss in 008-ply (004 moves for black) with black to move.


GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #4 on: January 13, 2018, 01:34:58 am »
So the post above shows the results from data mining my databases. You have to look hard for the lower-case "k" to see where the Black King is.

The Unicorn results showed "Mate in 1" positions during the solve. But the results show no wins for white to move. That can mean I have a counter that got blown out somewhere in my reporting code, or the white to move and mate in 1 needed to be constructed, and black cannot be forced into the position (possibly because the side had to have been in check when it was white to move). I will investigate.

GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #5 on: January 13, 2018, 01:39:05 am »
Code: [Select]
8  K . . . . . F .
7  . . . . . . . .
6  . k . . . . . .
5  . . . . . . . .
4  . . . . . . . .
3  . . . . . . . .
2  . . . . . . . .
1  . . . . . . . .

   a b c d e f g h

Ha I just noticed this. I had better not solve the endgame of Fortress + Unicorn vs. Chancellor + King.

GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #6 on: January 13, 2018, 03:30:16 am »

Hawk endgame composed by John Vehre.
Solution by Planchet program (using Distance to Win tablebases, by Ed Trice)


White to move and mate in 16.

1. Hd4 Ke7 2. Ke5 Kf7 3. Hd2! Kg6 4. Ke6 Kh5 5. Kf5 Kh4 6. Hg5 Kh3 7. Kf4 Kh4 8. He7! Kh5 9. Kf5 Kh6 10. He5 Kh7 11. Kf6 Kg8 12. He8 Kh7 13. He6 Kh8 14. Kf7 Kh7 15. Hh3 Kh8 16. Hh5 mate

GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #7 on: January 13, 2018, 03:03:20 pm »
I volunteer

Thanks Asher. Here is the first position to test:



White to move and win in 55-ply. This is a checkmate in 28 moves.

If you win in less than 28 moves, we know the tablebases have an error in them.
If you take longer than 28 moves, we know you made a non-optimal move and the computer was able to defend longer.

Your move.

ebinola

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #8 on: January 15, 2018, 03:30:43 pm »
I'm willing to volunteer. I've been doing some writing for musketeer chess, and I think getting my hands dirty with some of these EGTBs (in particular LE+K vs. K FO+K vs. K) is just what I need.
Chess player, amateur writer and on the side shitposter extraordinaire.

GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #9 on: January 15, 2018, 05:06:23 pm »
I'm willing to volunteer. I've been doing some writing for musketeer chess, and I think getting my hands dirty with some of these EGTBs (in particular LE+K vs. K FO+K vs. K) is just what I need.

Well I only have the 3-piece set solved so far. I wanted to verify they are working before trying the 4-piece set or generating the pawn Tablebase.

So pick a side for the position above, white or black. If white, post your move, I'll reply with mine. If you want a diagram posted after my reply, say so each time.

ebinola

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #10 on: January 16, 2018, 12:40:09 pm »
Whoops, I meant LE+K vs. K or FO+K vs. K (LE being the leopard and FO the fortress). I'd most like to take a crack at LE+K vs. K as Black, I haven't been able to give mate with king and leopard OTB but I'd like to see how it's done!

If you want me to play for the position above, I'll be Black as well. I'll follow OTB.
« Last Edit: January 16, 2018, 12:43:18 pm by ebinola »
Chess player, amateur writer and on the side shitposter extraordinaire.

GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #11 on: January 16, 2018, 02:09:15 pm »
Whoops, I meant LE+K vs. K or FO+K vs. K (LE being the leopard and FO the fortress). I'd most like to take a crack at LE+K vs. K as Black, I haven't been able to give mate with king and leopard OTB but I'd like to see how it's done!

If you want me to play for the position above, I'll be Black as well. I'll follow OTB.


The longest win for King + Leopard vs. King is shown above (provided my data are correct).
White to move and mate in 17 (win in 33-ply)



Planchet plays 1. Lf7

« Last Edit: January 16, 2018, 02:15:55 pm by GothicChessInventor »

GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #12 on: January 16, 2018, 02:15:11 pm »

1. Ka7 Black to move.

Planchet announces black loses in 54-ply = 27 moves.

GothicChessInventor

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Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
« Reply #13 on: January 16, 2018, 02:28:00 pm »
If you want to watch the play, or play live against the tablebases, download the TeamViewer app at TeamViewer.com

During the free registration process, make sure you select "Personal Use Only" if you want the free version.

The login ID for my computer is: 392895346
The password is: WatchPlanchet

This will connect you to my 4.6 GHz Intel i7-5960X with 8 CPU cores and 128 GB of RAM (and all my stuff on that computer).

If you login, say hello, and identify yourself. You'll see several copies of my Musketeer Chess program running.

ebinola

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Chess player, amateur writer and on the side shitposter extraordinaire.