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See also Alybadix 2002 solving examples
Program: Alybadix AP.EXE,
vers. 2001
Computer: Athlon AMD XP (1700+) 1466 MHz,
1 GB (1024 MB) 266 MHz DDR RAM
Diagrams: Figbadix (built-in in AP.EXE),
set FB41
Notation: Fide (KDTLSP)
Examples of accelerating options:
Q2 Quick mode -
each white move is a check or 2#-threat
w++ Each white move is
check
f2
Black King has max 2 flight squares
x3 Black
has max 3 movable men after each white move
y5 Black
has max 5 moves after each white move
yy5 Black has max
5 moves from black's second move up
y0 Black
king only can move
K= King participates
in mating/stalemating
m
Moving men and possible promotions for one or more moves given (* = any)
wP-L White promotes to Bishop only
wC-T White cannot capture a black rook
Sq-e4 Mating must happen on the square
e4
Sq-E Mating must happen
on board's any edge square
v15 Variation
search depth up to 15 plies only
For long direct mates options w++/Q/f are generally the
best, for long selfmates options x/y/f.
Contents:
1. Direct mates
2. Selfmates
3. Helpmates
4. Seriesmates
5. Stalemates
6. Fairies
1.1
Accelerating options Q2/f1 used below. Solving time: 2,5 sec.
This problem is sound (C+, complete test without accelerating options:
45 min 24 sec)
Wolfgang Bär
I. Pr. "DDR-30" 1979
#10 (9+13) |
1.Ld3-b5 Sd8-c6 2.Lb5-e2 Sc6-d8
3.Kf6xe5 Sd8-c6+ 4.Ke5-f6 Sc6-d8 5.Le2-b5 Sd8-c6 6.Lb5-d3 Sc6-d8 7.Lh4xg3 f5-f4 8.Lg3-e1+ Tc1xe1 9. b3-b4+ Ka5-a4 10.Ld3xc2 # 7. - Sh3-f4 8.Lg3-e1+ Tc1xe1 9. b3-b4+ Ka5-a4 10.Ld3xc2 # Time(h:m:s): 00:00:02,48 White: Kf6 Ld3 Lh4 Sa6 Sd6 Pb2 Pb3 Pc5 Pg7
|
1.2
Options:
After each white move black rook f8 only is able to move (b1).
Variation search depth 15 plies (v15). This is proper for decreasing
the number of the variations.
Kay Soltsien
II. Pr. "Die Schwalbe" 1959
#21 (7+3) |
1.Th1-h7 Tf8-g8 2.Kg1-h1
Tg8-e8 3.Kh1-h2 Te8-f8 4. f2-f3 Tf8-e8 5.Kh2-h3 Te8-f8 6. g2-g3 Tf8-g8 7. g3-g4 Tg8-f8 8. f3-f4 Tf8-e8 9.Kh3-h4 Te8-f8 10. b2-b3 Tf8-g8 11. g4-g5 Tg8-f8 12. f4-f5 Tf8-e8 13.Kh4-h5 Te8-f8 14. b3-b4 Tf8-g8 15. g5-g6 Tg8-f8 16. f5-f6 Tf8-e8 17.Kh5-h6 Te8-f8 18. b4-b5 Tf8-g8 19. g6-g7 Tg8-e8 20.Th7-h8 Te8-f8 21. g7xf8D# Time(h:m:s): 00:01:56,06 White: Kg1 Th1 Pa7 Pb2 Pb6 Pf2 Pg2 |
1.3 a)
Options:
y1 (black has one move only after each white move).
wP-L (white promotes to Bishop only).
This problem is cooked in 14 moves.
See 1.3 b)!
Jan Hartong
"Problem" 1952
#21 (7+14) |
1.Kg4-h3 e5-e4
2.La1-f6 e7xf6 3. e6-e7 f6-f5 4. e7-e8L f5-f4 5.Kh3-h4 Kg1-h2 6.Kh4-g4+ Kh2-g1 7.Le8-h5 Kg1-h2 8.Lh5-g6+ Kh2-g1 9.Lg6-h7 Kg1-h2 10.Lh7xe4+ Kh2-g1 11.Le4-h7 Kg1-h2 12.Lh7-d3+ Kh2-g1 13.Ld3-a6 b7xa6 14. b6-b7 a6-a5 15. b7-b8L a5-a4 16.Lb8xf4 a4-a3 17.Lf4-h6 Kg1-h2 18.Lh6-g5+ Kh2-g1 19.Lg5-h4 Kg1-h2 20.Lh4xg3+ Kh2-g1 21.Lg3-h2 # Time(h:m:s): 00:00:24,28 Kg4 Td1 Th8 La1 Pa2 Pb6 Pe6 |
1.3 b)
Option: y2 (black has max 2 moves only after each white move).
Jan Hartong
"Problem" 1952
#14 (7+14) |
1. a2-a4 e5-e4
2.La1-f6 e7xf6 3. a4-a5 f6-f5+ 4.Kg4-h5 f5-f4 5. e6-e7 Kg1-h2 6.Kh5-g4+ Kh2-g1 7. a5-a6 b7xa6 8. e7-e8D a6-a5 9. b6-b7 a5-a4 10. b7-b8D a4-a3 11.Db8xf4 a3-a2 12.De8-h5 a2-a1D 13.Dh5-h2+ g3xh2 14.Df4xh2 # Time(h:m:s): 00:01:38,32 Kg4 Td1 Th8 La1 Pa2 Pb6 Pe6 |
1.4
Dualfree test (4 dualfree variations found). After black
2. move the position is the same as at the beginning!!!
Ing. Nenad Petrovic
I n. "Problem" 1959
(C+)
#8 (7+12) |
1.Ld3? Th1+ 2.Lb1 O-O-O! 3.???
1.Db3-b7! Ta8-d8 2.Db7-b3
Td8-a8 Time(h:m:s): 00:01:40,84 White: Ka1 Db3 Lb1 Sg5 Pa2 Pb2 Pd6 |
1.5
Dualfree test.
P-A.C. writes: "Composed on 8-5-1993, verified in 1997
thanks to Ilkka Blom, published in Europe-Echecs in 1998."
The problem has 960 dualfree variations, but with help of dualfree
test and v1-option only one dualfree variation is searched!
Options:
f0 (black king cannot move)
v1 (variation search depth = 1 ply)
Pierre-Antoine Cathignol
Europe-Echecs, 1998
#39 (5+10) White: Kb1 Sh2 Pa2 Pa4 Pb3 |
1.Sh2-g4 Le5-d4 2.Sg4-h6
Ld4-b6 3.Sh6-f5 Lb6-c5 4.Sf5-h4 Lc5-d4 5.Sh4-g2 Ld4-f2 6.Sg2-f4 Lf2-d4 7.Sf4-d3 Ld4-c3 8.Sd3-c5 Lc3-d4 9.Sc5-e4 Ld4-e3 10.Se4-g3 h7-h6 11.Sg3-f5 Le3-c5 12.Sf5-h4 Lc5-d4 13.Sh4-g2 Ld4-f2 14.Sg2-f4 Lf2-d4 15.Sf4-d3 Ld4-c3 16.Sd3-c5 Lc3-d4 17.Sc5-e4 Ld4-e3 18.Se4-g3 h6-h5 19.Sg3xh5 Le3-h6 20.Sh5-g3 Lh6-e3 21.Sg3-f5 Le3-c5 22.Sf5-h4 Lc5-d4 23.Sh4-g2 Ld4-f2 24.Sg2-f4 Lf2-d4 25.Sf4-d3 Ld4-c3 26.Sd3-c5 Lc3-e5 27.Sc5-e6 Le5-c3 28.Se6-d8 Lc3-d4 29.Sd8-c6 Ld4-b6 30.Sc6xe7 Lb6-e3 31.Se7-f5 Le3-c5 32.Sf5-g3 Lc5-d6 33.Sg3-e4 Ld6-f4 34.Se4-c5 Lf4-e5 35.Sc5-e6 Le5-c3 36.Se6-d8 Lc3-d4 37.Sd8-b7 Ld4-e5 38.Sb7xa5 Le5-d6 39.Sa5-c4 # Time(h:m:s): 00:00:32,14 Dualfree
1 variations (1/1) |
2.1 a)
D/T/L/S-promotions, castling and enpassant in the same problem!
Unfortunately, like most (old) long selfmates, also this problem is
cooked in 12 moves - see 2.1 b).
Options:
Pd7, Td2 uncapturable (bu2)
Black has max 2 moves (y2)
Moving men (m): f7D * e7T * c7 * b7L * f1 * e1 * h7S * h7 * e7 * f1
Oscar E. Burger
Chess Pie III, 1936
S#13 (16+5) |
1. f7-f8D+ Tb8xf8
2. e7xf8T+ Kh8-g7 3.Sc7-e8+ Kg7-h6 4. b7xa8L Kh6-g5 5.Lf1-h3 Kg5-h6 6. O-O Kh6-g5 7. h7-h8S Kg5-h6 8.Sh8-g6 Kh6-g5 9.Tf8-h8 d7xe6 10.Lh3-f5 e6xf5 11.Te4-g4+ f5xg4 12. h2-h4+ g4xh3ep 13.La8-h1 h3-h2 # Time(h:m:s): 00:00:08,12 White: Ke1 Dc1 Te4 Th1 Ld6 Lf1 Sc7 Sf6 Pb7
|
2.1 b)
Extra solution (short cook) for 2.1 a).
Options:
Pd7, Td2 uncapturable (bu2)
Black has max 1 move (y1)
Oscar E. Burger
Chess Pie III, 1936
S#12 (16+5) |
1. f7-f8D+ Tb8xf8 2.
e7xf8T+ Kh8-g7 3.Te4-g4+ Kg7-h6 4. b7xa8L d7xe6 5.Sc7-d5 e6xd5 6.Tg4-g2 d5-d4 7.La8-e4 d4-d3 8.Sf6-g8+ Kh6xh5 9.Le4-f3+ Kh5-h4 10.Dc1-c4+ Kh4-h3 11.Tg2-g4+ Td2-g2 12.Lf3-d1 d3-d2 # Time(h:m:s): 00:04:40,12 White: Ke1 Dc1 Te4 Th1 Ld6 Lf1 Sc7 Sf6 Pb7
|
2.2
This selfmate problem is sound ( C+, two variations).
Testing time 4,18 sec (yy1), 39 min (complete test).
Option yy1 (black has max 1 move from black's second move up).
Petko Petkov
Schach 1986, 3. Pr.
S#8 (13+5) |
1.Td8-b8 c4-c3 2. d7-d8L+
Ke7-e8 3.Ld8-c7+ Ke8-e7 4.Lc7-d6+ Ke7xe6 5.Ld6xc5+ Ke6-d5 6.Da7-d7+ Kd5-c4 7.Dd7-e6+ Kc4-d3 8.Lf2-e3 c3-c2 # 1. - e4-e3 2. d7-d8S+ Ke7-e8 3.Sd8-b7+ Ke8-e7 4.Sb7-d6+ Ke7xe6 5.Sd6xc4+ Ke6-d5 6.Da7xc5+ Kd5-e4 7.Sc4-d6+ Ke4-d3 8.Lf2-g1 e3-e2 # Time(h:m:s): 00:00:04,18 White: Kd1 Da7 Tc6 Td8 Lf2 Sf7 Pd7 Pe5 Pe6 Pg2 Pg3
Pg4 Pg7 |
3.1
Helpmate in 10 moves. Complete test.
Gabor Cseh
The Problemist, 1997
1st Prize
(C+)
H#10 (8+11) |
1. h7-h6 d7-d8D 2. h6-h5 Dd8-d5
3.Sg2xh4+ Dd5-g2+ 4.Sh4xg2 e7-e8L 5. h5-h4 Le8-c6 6.Sg2-f4+ Lc6-g2 7.Sf4-d5 b5-b6 8.Sd5-c7 b6-b7 9.Sc7xa8 b7xa8D 10.Lh3xg2+ Da8xg2 # Time(h:m:s): 00:00:00,11 White: Kf1 Sa8 Pb5 Pd2 Pd7 Pe5 Pe7 Ph4 |
4.1
Serieshelpmate, complete test using the intelligent
mode.
C. Jonsson
Ideal-mate review, 53/1994
(C+)
SH#16 (3+5) |
1. f2-f1L Lf1-e2 3.Le2-d1
e3-e2 5. e2-e1D De1xe6 7.De6-a2 e7-e5 9. e5-e4 e4-e3 11. e3-e2 e2-e1T 13.Te1-e4 Te4-a4 15.Sc2-b4 Ld1-b3 16.Sc7-b5 # Time(h:m:s): 00:00:02,36 White: Kc1 Sc7 Pe6
|
4.2
Serieshelpmate. The improved Intelligent mode 2001
is very quick
in this genre. Complete (100%, C+) test!
George Sphicas
Sp. Pr. "The Problemist" 1985
(C+)
SH#54 (15+6) |
1. g5-g4 g4xf3 3.Kh5-g4
h6-h5 5. h5-h4 Kg4-h5 7.Kh5-h6 Kh6-g7 9.Kg7xg8 Kg8-f7 11.Kf7-e8 Ke8-d7 13.Kd7xc6 Kc6xd6 15.Kd6-d7 Kd7-e8 17.Ke8-f7 Kf7-g7 19.Kg7-h6 Kh6-h5 21.Kh5-g4 Kg4-g3 23.Kg3xh2 Kh2xh3 25.Kh3-g2 h4-h3 27. h3-h2 h2-h1S 29.Sh1-g3 Sg3xf5 31.Sf5-g3 f6-f5 33. f5xe4 e4xd3 35. d3xc2 c2-c1L 37.Lc1xb2 Lb2xa3 39.La3-c1 a4-a3 41. a3-a2 a2-a1T 43.Ta1xa5 Ta5-h5 45. a6-a5 a5-a4 47. a4-a3 a3-a2 49. a2-a1D Da1-h8 51.Lc1-e3 Le3-g1 53.Th5-h1 Dh8-h2 54.Sg6-f4 # Time(h:m:s): 00:04:20,79 |
White: Ke1 Df3 Tc6 Th2 Ld6 Lg8 Sg6 Sh3 Pa3 Pa5 Pb2 Pc2 Pd3 Pe4 Pf5
Black: Kh5 Pa4 Pa6 Pf6 Pg5 Ph6
4.3
Edge/Corner mate is impossible since black
Bishop on black square is needed for this!
Option: Sq-M (Middle mate)
Jacob Mintz
Ideal-Mate Review, 1989
(C+)
SH#27 (2+6) |
1.Kh4-g4 h5-h4 3. h4-h3
h3-h2 5. h2-h1L Lh1-e4 7.Le4-g6 Kg4-f5 9.Kf5-f6 Lg6-f7 11.Lf7-g8 Kf6-f7 13.Sd5-f6 d6-d5 15. d5-d4 d4-d3 17. d3-d2 d2-d1D 19.Dd1-d6 Dd6-e7 21. d7-d5 d5-d4 23. d4-d3 d3-d2 25. d2-d1T Td1-d8 27.Td8-f8 Lh7-g6 # Time(h:m:s): 00:00:10,49 White: Kh6 Lh7 |
5.1
Example of Doublemaximummer (MaxMax) - white and black must
make their geometrically longest moves. Many enpassant moves!
Theodor Steudel & Dr Hans Staudte
2. e. E. "Die Schwalbe" 1966
(C+)
=21 MaxMax (10+9) |
1.Sf4-e2 Ta1-h1
2.Se2-c3 Th1-a1 3.Sc3-b1 Ta1xa4 4.Sb1-c3 Ta4-h4 5.Sc3-e2 Th4-a4 6.Se2-f4 Ta4xf4 7.Ke3xf4 a7-a5 8. b5xa6 b7-b5 9. c5xb6 c7-c5 10. d5xc6 d7-d5 11. e5xd6 e7-e5+ 12. f5xe6 f7-f5 13. g5xf6 g7-g5+ 14. h5xg6 Kb8-c8 15.Kf4-g5 Kc8-d8 16.Kg5-h6 Kd8-e8 17.Kh6-g7 Ke8-d8 18.Kg7-f8 Kd8-c8 19.Kf8-e7 Kc8-b8 20.Ke7-d8 Kb8-a8 21.Kd8-c7 = Time(h:m:s): 00:00:11,43 White: Ke3 Sf4 Pa4 Pb5 Pc5 Pd5 Pe5 Pf5 Pg5
Ph5 |
6.1
Two fairy pieces. Flamingo is the same as (1:6)-Leaper.
Ludvig Zagler
Problem Kiste, no. 4110
(C+)
|
1.Kh8-g7 Fd8-c2 2.Kg7-f6
Fc2-b8 3.Kf6-e5 Ga8-h8 4.Ke5-d4 Fb8-h7 5.Kd4-c3 Gh8-h1 6.Kc3-b2 Fh7-g1 7.Kb2-a1 Kd1-c2 # Time(h:m:s): 00:00:00,93 White: Kd1 Fd8 Ga8 |
6.2
Several fairy pieces. Dualfree test done.
J. Brügge
1. Pr., Die Schwalbe, 1982
(C+)
#2 (9+18) |
1.Sg5-e4 Th3-c3 2.Lc8xb7 #
Th4xe4 2.Lc8xb7 # Lh1xe4 2.Ga1-b4 # Lh2-d6 2.Lc8xb7 # Cf5xe8 2.Ga1-b4 # Cf5-c4 2.Ga1-b4 # Lf8xd8 2.Ga1-b4 # Nb2-d6 2.Se8-c7 # Nb2-d3 2.Ga1-b3 # Ng8-e7 2.Lc8xb7 # Ng8-c6 2.Lc8xb7 # Ng8-a5 2.Ga1-b4 # Time(h:m:s): 00:00:00,05 |
White: Ka8 Lc8 Se8 Sg5 Sh5 Ca2 Cb8 Ga1 Gd8
Black: Ka6 Th3 Th4 Lh1 Lh2 Pb5 Pb6 Pb7 Cf5 Ge1 Gc2 Gd2 Gf7 Hf6 Lf8
Nb2 Ng8 Zh7
Camel a2,b8,f5, Gnu a1,e1, Grasshopper c2,d2,d8,f7, TL-hunter f6, Lion
f8, Nightrider b2,g8, Zebra h7
6.3
Orphan gets its power from opponent's
attacking men (also orphans).
Jean-Marc Loustau & Denis Blondel
3e Pr. "Probleemblad" 1985
(C+)
#2 (11+8) |
1.Tg2-h2 f2-f1D 2.Of3xc3 #
f2-f1T 2.Oc7xc3 # f2-f1L 2.Sb4-c6 # f2-f1S 2.Sa3-c2 # f2-f1O 2.Th2-d2 # Time(h:m:s): 00:00:00,11 White: Ka4 Tg2 Sa3 Sb4 Oa6 Oc7 Od6 Oe6 Of3 Og3 Oh3
Orphan a6,c3,c7,c8,d6,e4,e6,f3,f7,g3,g4,h3
|
6.4
Special board. Promoting of the white pawns not allowed. Therefore Blocks
used
instead of Edge-Blocks (see next example)! Block is unmovable
and uncapturable.
T.R. Dawson
Bolton Football Field, 1911
"Revolver practice"
(C+)
#21 (8+30) |
1.Sh1-g3 Ka3-b3 2.Tg1-h1
Kb3-a3 3.Sf3-g1 Ka3-b3 4.Tf2-f3 Kb3-a3 5.Le3-f2 Ka3-b3 6.Tf3-e3 Kb3-a3 7.Sg1-f3 Ka3-b3 8.Th1-g1 Kb3-a3 9.Sg3-h1 Ka3-b3 10.Lf2-g3 Kb3-a3 11.Sh1-f2 Ka3-b3 12.Tg1-h1 Kb3-a3 13.Sf3-g1 Ka3-b3 14.Te3-f3 Kb3-a3 15.Kd3-e3 Ka3-b3 16.Sf2-d3 Kb3-a3 17.Ke3-f2 Ka3-b3 18.Tf3-e3 Kb3-a3 19.Kf2-f3 Ka3-b3 20.Sd3-f2 Kb3-a3 21.Te3xc3 # Time(h:m:s): 00:00:00,05
|
White: Kd3 Tf2 Tg1 Le3 Sf3 Sh1 Pg2 Ph2
Black: Ka3 Lc3 Ba1 Ba2 Ba4 Ba5 Bb1 Bb2 Bb4 Bb5 Bc1
Bc2 Bc4 Bc5 Bd1 Bd2 Bd4 Bd5 Be1 Be2 Be4 Be5 Bf1 Bf4 Bf5 Bg4 Bg5 Bh3 Bh4 Bh5
Block a1,a2,a4,a5,b1,b2,b4,b5,c1,c2,c4,c5,d1,d2,d4,d5,e1,e2,e4,e5,f1,f4,f5,g4,g5,h3,h4,h5
| 6.5 a) Board size 4 x 4 squares. If possible settle the board 8-symmetrically on the 8x8 board as in a), since Alybadix solves then quicker, if the position tree is in use (less symmetrical positions => less moves)! |
6.5 b) With help of the fairy 'piece' Edge-Block it is easy to design boards of different size and shape so that moves work correctly (pawn row 2, promotions, circe-reborns). |
Ilkka Blom
4 x 4 board example
#10
(2+51)
#10
(22+3)
a)
1. e4-e6D Sd5-f4 2.De6-c4 Sc3-e4
3.Dc4-d4 Se4-c5 4.Dd4xc5 Sf4-d3
5.Dc5-d5+ Kf3-e3 6.Kc6-d6 Ke3-f4
7.Dd5-c4+ Kf4-e3 8.Kd6-e6 Ke3-f3
9.Ke6-f5 Sd3-c5 10.Dc4-f4 #
Time(h:m:s): 00:00:00,77
Selected 1/88 variations (1/88)
Moves(All/W/B): 108096/76321/31775
Test: No-Try/No Setplay/Dual variations
/Tree 1-0-32436 (990 MB)
Fairybadix-Matebadix-4
White: Kc6 Pe4
Black: Kf3 Sc3 Sd5 Ea1 Ea2 Ea3 Ea4 Ea5 Ea6 Ea7 Ea8
Eb1 Eb2 Eb3 Eb4 Eb5 Eb6 Eb7 Eb8 Ec1 Ec2 Ec7 Ec8 Ed1 Ed2
Ed7 Ed8 Ee1 Ee2 Ee7 Ee8 Ef1 Ef2 Ef7 Ef8 Eg1 Eg2 Eg3 Eg4 Eg5 Eg6 Eg7 Eg8
Eh1 Eh2 Eh3 Eh4 Eh5 Eh6 Eh7 Eh8
Edge-Block a1,a2,a3,a4,a5,a6,a7,a8,b1,b2,b3,b4,b5,b6,b7,b8,c1,c2,c7,c8,d1,d2,d7,d8,e1,e2,e7,e8,f1,f2,f7,f8,g1,g2,g3,g4,g5,g6,g7,g8
h1,h2,h3,h4,h5,h6,h7,h8
6.6
Seriesselfmate, neutral pieces, circe.
Krasimir Gandev & Venelin Alaikov
"Mat" 1982
(C+)
SS#10 Circe (2+1+4) |
1.Ka4xa3(nPa7) 2. a7-a8L
3.La8xc6(nPc7) 4. c7-c8L 5.Lc8-e6 6.Le6xd5(nPd7) 7. d7-d8L 8.Ld8xf6(nPf7) 9.Lf6-g7 10. f7-f8L+ Kc5-b6 # / Lf8xg7(nLc1)# Time(h:m:s): 00:02:28,14 White: Ka4 Pd2 |
6.7
Helpcheck (h+), doublemaximummer, grasshoppers.
Ilkka Blom
Problem Kiste, 126/4982
(C+)
H+24 MaxMax (2+2) |
1.Gg3-e5 Gf4-d6
2.Ge5-c7 Gd6-b8 3.Gc7-a7 Gb8-b6 4.Ga7-c5 Gb6-d4 5.Gc5-e3 Gd4-f2 6.Ge3-g1 Kb7-c8 7.Gg1-e3 Gf2-d4 8.Ge3-c5 Gd4-b6 9.Gc5-a7 Kc8-d7 10.Ga7-e7 Kd7-c6 11.Kh1-g2 Gb6-d6 12.Ge7-c5 Gd6-b4 13.Gc5-a3 Kc6-d7 14.Ga3-c5 Gb4-d6 15.Gc5-e7 Gd6-f8 16.Ge7-c7 Kd7-e6 17.Kg2-f1 Ke6-d5 18.Kf1-e2 Kd5-e4 19.Ke2-d1 Ke4-d3 20.Kd1-c1 Kd3-c4 21.Gc7-c3 Kc4-d5 22.Kc1-b2 Kd5-e6 23.Gc3-a1 Ke6-f7 24.Ga1-c3 Gf8-f6 + Time(h:m:s): 00:00:00,55 White: Kb7 Gf4 Black: Kh1 Gg3 |
More examples will be added later!
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