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#Post#: 149--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: ebinola Date: January 20, 2018, 11:59 am
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4. ...Kf5
I'm not so sure where this is going but here goes nothing.
#Post#: 156--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: GothicChessInventor Date: January 20, 2018, 9:00 pm
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[attachimg=1]
1. Lf7 Kd7
2. Kb7 Ke7
3. Le5 Ke6
4. Lc4 Kf5
5. Kc6
Mate in 13.
You're playing it as it should be defended.
#Post#: 174--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: ebinola Date: January 22, 2018, 3:03 pm
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5. ...Ke4
#Post#: 177--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: GothicChessInventor Date: January 22, 2018, 4:42 pm
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1. Lf7 Kd7
2. Kb7 Ke7
3. Le5 Ke6
4. Lc4 Kf5
5. Kc6 Ke4
6. Kc5
[attachimg=1]
Mate in 12
#Post#: 180--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: ebinola Date: January 22, 2018, 5:17 pm
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6. ...Kf4
#Post#: 182--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: GothicChessInventor Date: January 22, 2018, 6:51 pm
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1. Lf7 Kd7
2. Kb7 Ke7
3. Le5 Ke6
4. Lc4 Kf5
5. Kc6 Ke4
6. Kc5 Kf4
7. Kd4
Mate in 11
[attachimg=1]
#Post#: 186--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: HGMuller Date: January 23, 2018, 4:34 am
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I don't know if this is helpful, but I have a primitive EGT
generator that can do 3- and 4-men EGT on arbitrary boards,
which I use to determine which fairy pieces have mating
potential. It prints the DTM statistics of the end-game. I let
it run on some of the Musketeer KXK end-games:
[font=courier]Cannon:
mated mate
King captures 69384
mates 1752 ( 0.00 sec)
in-1 3564 9360 ( 0.01 sec)
in-2 11280 15064 ( 0.03 sec)
in-3 18592 30388 ( 0.05 sec)
in-4 34552 32112 ( 0.09 sec)
in-5 41032 36048 ( 0.11 sec)
in-6 46660 32284 ( 0.16 sec)
in-7 34932 22216 ( 0.17 sec)
in-8 8676 3064 ( 0.19 sec)
in-9 388 64 ( 0.19 sec)
in-10 0 0 ( 0.19 sec)
won: 249984 (100.0%)
lost: 201428 ( 80.6%)
avg: 5.1 moves
Hawk:
mated mate
King captures 58920
mates 16 ( 0.01 sec)
in-1 8 104 ( 0.01 sec)
in-2 64 88 ( 0.01 sec)
in-3 48 456 ( 0.01 sec)
in-4 400 504 ( 0.01 sec)
in-5 368 1824 ( 0.03 sec)
in-6 740 1800 ( 0.03 sec)
in-7 508 2532 ( 0.03 sec)
in-8 984 2076 ( 0.03 sec)
in-9 932 3048 ( 0.03 sec)
in-10 1004 2224 ( 0.05 sec)
in-11 720 2460 ( 0.05 sec)
in-12 816 2248 ( 0.05 sec)
in-13 1656 2584 ( 0.05 sec)
in-14 2804 4132 ( 0.06 sec)
in-15 3432 5804 ( 0.06 sec)
in-16 4436 6668 ( 0.08 sec)
in-17 5608 8196 ( 0.08 sec)
in-18 9460 10284 ( 0.09 sec)
in-19 8008 15180 ( 0.11 sec)
in-20 10792 11952 ( 0.13 sec)
in-21 16248 15952 ( 0.14 sec)
in-22 23676 22932 ( 0.16 sec)
in-23 28688 25796 ( 0.19 sec)
in-24 34720 21480 ( 0.22 sec)
in-25 26236 13024 ( 0.23 sec)
in-26 13976 5880 ( 0.25 sec)
in-27 4852 1712 ( 0.25 sec)
in-28 448 124 ( 0.27 sec)
in-29 0 0 ( 0.27 sec)
won: 249984 (100.0%)
lost: 201648 ( 80.7%)
avg: 21.8 moves
Elephant:
mated mate
King captures 68076
mates 124 ( 0.00 sec)
in-1 260 580 ( 0.01 sec)
in-2 568 1136 ( 0.01 sec)
in-3 776 2496 ( 0.01 sec)
in-4 1920 3192 ( 0.01 sec)
in-5 3708 6268 ( 0.03 sec)
in-6 7692 9644 ( 0.03 sec)
in-7 14604 16620 ( 0.06 sec)
in-8 25016 25784 ( 0.09 sec)
in-9 37796 35868 ( 0.13 sec)
in-10 47620 42068 ( 0.16 sec)
in-11 43736 30688 ( 0.19 sec)
in-12 16764 7472 ( 0.20 sec)
in-13 400 92 ( 0.20 sec)
in-14 0 0 ( 0.20 sec)
won: 249984 (100.0%)
lost: 200984 ( 80.4%)
avg: 9.4 moves[/font]
#Post#: 192--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: musketeerchess Date: January 23, 2018, 11:48 am
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[quote author=HGMuller link=topic=20.msg186#msg186
date=1516703686]
I don't know if this is helpful, but I have a primitive EGT
generator that can do 3- and 4-men EGT on arbitrary boards,
which I use to determine which fairy pieces have mating
potential. It prints the DTM statistics of the end-game. I let
it run on some of the Musketeer KXK end-games:
[font=courier]Cannon:
mated mate
King captures 69384
mates 1752 ( 0.00 sec)
in-1 3564 9360 ( 0.01 sec)
in-2 11280 15064 ( 0.03 sec)
in-3 18592 30388 ( 0.05 sec)
in-4 34552 32112 ( 0.09 sec)
in-5 41032 36048 ( 0.11 sec)
in-6 46660 32284 ( 0.16 sec)
in-7 34932 22216 ( 0.17 sec)
in-8 8676 3064 ( 0.19 sec)
in-9 388 64 ( 0.19 sec)
in-10 0 0 ( 0.19 sec)
won: 249984 (100.0%)
lost: 201428 ( 80.6%)
avg: 5.1 moves
Hawk:
mated mate
King captures 58920
mates 16 ( 0.01 sec)
in-1 8 104 ( 0.01 sec)
in-2 64 88 ( 0.01 sec)
in-3 48 456 ( 0.01 sec)
in-4 400 504 ( 0.01 sec)
in-5 368 1824 ( 0.03 sec)
in-6 740 1800 ( 0.03 sec)
in-7 508 2532 ( 0.03 sec)
in-8 984 2076 ( 0.03 sec)
in-9 932 3048 ( 0.03 sec)
in-10 1004 2224 ( 0.05 sec)
in-11 720 2460 ( 0.05 sec)
in-12 816 2248 ( 0.05 sec)
in-13 1656 2584 ( 0.05 sec)
in-14 2804 4132 ( 0.06 sec)
in-15 3432 5804 ( 0.06 sec)
in-16 4436 6668 ( 0.08 sec)
in-17 5608 8196 ( 0.08 sec)
in-18 9460 10284 ( 0.09 sec)
in-19 8008 15180 ( 0.11 sec)
in-20 10792 11952 ( 0.13 sec)
in-21 16248 15952 ( 0.14 sec)
in-22 23676 22932 ( 0.16 sec)
in-23 28688 25796 ( 0.19 sec)
in-24 34720 21480 ( 0.22 sec)
in-25 26236 13024 ( 0.23 sec)
in-26 13976 5880 ( 0.25 sec)
in-27 4852 1712 ( 0.25 sec)
in-28 448 124 ( 0.27 sec)
in-29 0 0 ( 0.27 sec)
won: 249984 (100.0%)
lost: 201648 ( 80.7%)
avg: 21.8 moves
Elephant:
mated mate
King captures 68076
mates 124 ( 0.00 sec)
in-1 260 580 ( 0.01 sec)
in-2 568 1136 ( 0.01 sec)
in-3 776 2496 ( 0.01 sec)
in-4 1920 3192 ( 0.01 sec)
in-5 3708 6268 ( 0.03 sec)
in-6 7692 9644 ( 0.03 sec)
in-7 14604 16620 ( 0.06 sec)
in-8 25016 25784 ( 0.09 sec)
in-9 37796 35868 ( 0.13 sec)
in-10 47620 42068 ( 0.16 sec)
in-11 43736 30688 ( 0.19 sec)
in-12 16764 7472 ( 0.20 sec)
in-13 400 92 ( 0.20 sec)
in-14 0 0 ( 0.20 sec)
won: 249984 (100.0%)
lost: 200984 ( 80.4%)
avg: 9.4 moves[/font]
[/quote]
Interesting
#Post#: 196--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: GothicChessInventor Date: January 23, 2018, 2:15 pm
---------------------------------------------------------
[quote author=HGMuller link=topic=20.msg186#msg186
date=1516703686]
I don't know if this is helpful, but I have a primitive EGT
generator that can do 3- and 4-men EGT on arbitrary boards,
which I use to determine which fairy pieces have mating
potential. It prints the DTM statistics of the end-game.
[/quote]
Hey H.G., nice to chat with you again!
Here's my list with summary information. Maybe we can compare
each database entry and verify each others' data? This will be
very helpful. I can give you access to my tablebases and the
indexing function, then you can literally compare entry per
entry and make sure we both have the same result.
For Cannon I have a mate in 15, which differs from your data.
Our Hawk data both showcase mates in 28, so that's good.
Our elephant data both showcase mates in 13, so that's good too.
[code]
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.
[/code]
#Post#: 225--------------------------------------------------
Re: 3-Piece Musketeer Chess Endgame Tablebases Solved
By: ebinola Date: January 24, 2018, 3:41 pm
---------------------------------------------------------
7. ...Kf5
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