Teeko solver.
/home/gls/a.out -l
Thu Nov 12 15:09:21 1998
-n solutions_max_limit=0, -a solutions_all_limit=0, -m moves_min_limit=0
n Patterns Positions Configurations
0 1 1 1
1 1 25 25
2 2 300 600
3 3 2300 6900
4 6 12650 75900
5 10 53130 531300
6 20 177100 3542000
7 35 480700 16824500
8 70 1081575 75710250
Loading tables...Loaded teeko-play-data
Loaded teeko-drop7-data
Loaded teeko-drop6-data
Loaded teeko-drop5-data
Loaded teeko-drop4-data
Loaded teeko-drop3-data
Loaded teeko-drop2-data
Loaded teeko-drop1-data
Loaded teeko-drop0-data
Tables loaded.
Thu Nov 12 15:10:04 1998
Scores for games are:
0 0 113 0 -108 -116 0 -112
119 0 119 113 0 0 113 0
-118 -118 0 0 -118 -118 0 -116
0 0 0 0 0 -114 0 0
119 0 119 119 0 0 107 0
119 119 119 119 109 0 117 113
0 0 107 0 0 -108 0 0
113 0 115 113 0 0 105 0
-118 -118 0 -108 -118 -118 -114 -118
0 0 93 0 0 -114 0 0
-118 -118 -114 -118 -118 -118 -118 -118
0 -114 0 0 -114 -116 -110 -114
0 0 0 0 0 -110 0 0
109 0 113 101 0 0 0 0
0 -114 0 0 -114 -116 -100 -114
0 0 0 0 0 -114 0 0
117 0 117 117 0 0 111 0
119 115 119 117 113 0 115 115
0 0 109 0 0 -106 0 0
113 0 115 113 0 0 109 0
119 117 119 119 115 109 115 115
119 119 119 119 115 115 117 117
111 0 115 113 0 0 111 0
115 111 117 115 111 0 113 111
0 0 109 0 0 -112 0 0
111 0 113 109 0 0 107 0
0 -112 0 0 -110 -114 0 -112
0 0 101 0 0 -110 0 0
111 0 113 109 0 0 107 0
115 107 115 115 107 0 113 105
0 0 107 0 0 -108 0 0
107 0 113 109 0 0 105 0
Standard versions:
Scores for first move (overall game value is Draw):
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 11111111:
0 0 0 0 0
0 102 106 102 0
0 106 104 106 0
0 102 106 102 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 00111111:
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 00001111:
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 00000011:
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 11000000:
0 0 0 0 0
0 114 114 114 0
0 114 114 114 0
0 114 114 114 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 11110000:
0 0 0 0 0
0 0 0 0 0
0 0 114 0 0
0 0 0 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 11111100:
0 0 0 0 0
0 0 106 0 0
0 106 106 106 0
0 0 106 0 0
0 0 0 0 0
Nonstandard versions:
Scores for first move (overall game value is Draw), 00110000:
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 00001100:
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 00111100:
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 11000011:
0 0 0 0 0
0 92 110 92 0
0 110 110 110 0
0 92 110 92 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 11001100:
0 0 0 0 0
0 0 108 0 0
0 108 108 108 0
0 0 108 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 00110011:
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 11110011:
0 0 0 0 0
0 100 106 100 0
0 106 108 106 0
0 100 106 100 0
0 0 0 0 0
Scores for first move (overall game value is Draw), 11001111:
0 0 0 0 0
0 98 108 98 0
0 108 108 108 0
0 98 108 98 0
0 0 0 0 0
2793 tied-neighbor losers, 0 corner losers
#Sample game, page 53
game
13 Draw
14 Draw
8 Draw
18 Draw
7 Draw
12 !! Draw
3 Draw
9 Draw
8-2 Draw
12-8 Draw
7-1 ?? Red in 7 (best: 7-12 Draw)
8-4 ! Red in 6
13-19 ! Red in 5
14-13 ! Red in 4
19-23 Red in 3
18-17 Red in 2
3-8 Red in 1
4-5 ! Red wins
#Vertical drop trap, page 55
game
13 Draw
14 Draw
8 Draw
9 ?? Black in 3 (best: 18, 23 Draw)
18 ! Black in 2
#Horizontal drop trap, page 56
game
12 Draw
18 Draw
14 Draw
9 ?? Black in 3 (best: 11, 13, 15 Draw)
13 ! Black in 2
#Diagonal drop trap, page 58
game
13 Draw
14 Draw
9 Draw
18 ?? Black in 3 (best: 17 Draw)
17 ! Black in 2
#Vertical drop trap (Red wins), page 60
game
13 Draw
14 Draw
11 Draw
9 Draw
12 ?? Red in 3 (best: 19 Draw)
19 ! Red in 2
#Variation of vertical drop trap (Red wins), page 61
game
21 Draw
19 Draw
17 Draw
14 Draw
13 ?? Red in 3 (best: 16, 22 Draw)
9 !! Red in 2
#Horizontal drop trap (Red wins), page 62
game
14 Draw
19 Draw
9 Draw
17 Draw
4 ?? Red in 3 (best: 8, 10, 13, 15, 18 Draw)
18 ! Red in 2
#Diagonal drop trap (Red wins), page 63
game
14 Draw
13 Draw
15 Draw
7 Draw
20 ?? Red in 3 (best: 9, 10, 19 Draw)
19 !! Red in 2
#Safe drop No. 1, page 65
game
13 Draw
18 Draw
14 Draw
12 Draw
8 Draw
9 !! Draw
3 Draw
19 Draw
#Safe drop No. 2, page 65
game
13 Draw
8 Draw
19 Draw
7 !! Draw
18 Draw
14 !! Draw
16 Draw
17 !! Draw
#Safe drop No. 3, page 65
game
14 Draw
13 Draw
19 Draw
9 Draw
15 Draw
20 !! Draw
18 Draw
17 Draw
#Safe drop No. 4, page 65
game
16 Draw
17 Draw
12 Draw
8 Draw
11 Draw
21 Draw
1 Draw
6 !! Draw
#Safe drop No. 5, page 66
game
19 Draw
18 Draw
14 Draw
9 Draw
15 Draw
20 !! Draw
13 Draw
8 Draw
#Safe drop No. 6, page 66
game
12 Draw
13 Draw
8 Draw
16 Draw
17 Draw
7 Draw
9 Draw
19 Draw
#Safe drop No. 7, page 66
game
12 Draw
17 Draw
13 Draw
14 !! Draw
8 Draw
7 !! Draw
18 Draw
19 Draw
#Safe drop No. 8, page 66
game
19 Draw
13 Draw
18 Draw
17 Draw
23 Draw
24 !! Draw
14 Draw
20 Draw
#Safe drop No. 9, page 66
game
19 Draw
18 Draw
13 Draw
7 !! Draw
14 Draw
12 Draw
24 Draw
9 !! Draw
#Safe drop No. 10, page 66
game
7 Draw
8 Draw
12 Draw
17 Draw
2 Draw
13 Draw
11 Draw
6 !! Draw
#Wurst trap, page 77
game
14 Draw
13 Draw
8 Draw
19 Draw
2 ?? Red in 5 (best: 7, 20, 25 Draw)
#Freezing, page 101
problem: Black on 8 13 18 19; Red on 12 14 23 24; Red to move, Black to win
Initially: Draw
- - - - -
- - @ - -
- O @ O -
- - @ @ -
- - O O -
#Center wedge, page 101
problem: Black on 7 8 13 19; Red on 3 9 11 14; Red to move, Black to win
Initially: Black in 8
- - O - -
- @ @ O -
O - @ O -
- - - @ -
- - - - -
*11- 6! 8- 2 6- 1! 19-18! Black in 4
* 8-12 3- 8 19-18! Black in 4
* 3- 2 12-18 Black in 4
* 19-18 Black in 4
* 3- 4 7-11 Black in 4
* 12-18 Black in 4
* 19-18 Black in 4
* 6- 1 7- 6 Black in 4
* 7-11 Black in 4
* 12-18 Black in 4
* 19-18 Black in 4
* 6- 2 7- 6 Black in 4
* 7-11 Black in 4
* 12-18 Black in 4
* 19-18 Black in 4
* 9- 4 7- 8 Black in 4
* 7-11 Black in 4
* 12-18 Black in 4
* 19-18 Black in 4
* 9- 8 19-18! Black in 4
* 9-10 7-11 Black in 4
* 12-18 Black in 4
* 19-18 Black in 4
* 9- 5 7- 8 Black in 4
* 7-11 Black in 4
* 12-18 Black in 4
* 19-18 Black in 4
* 9-15 7-11 Black in 4
* 12-18 Black in 4
* 19-18 Black in 4
* 14- 8 12-18 Black in 4
* 13-17 Black in 4
* 19-18 Black in 4
* 19-23 Black in 4
#Defensive strategy, page 107
problem: Black on 7 9 12 17; Red on 6 8 13 18; Black to move, Red to win
Initially: Draw
- - - - -
O @ O @ -
- @ O - -
- @ O - -
- - - - -
9-14 Draw
6-2 Draw
7-3 !! Draw
problem: Black on 7 9 12 17; Red on 6 8 13 18; Black to move, Red to win
Initially: Draw
9-3 ?? Red in 13 (best: 9-14, 9-15 Draw)
#Defensive strategy, page 108
problem: Black on 8 12 13 17; Red on 7 9 14 18; Red to move and win
Initially: Draw
- - - - -
- O @ O -
- @ @ O -
- @ O - -
- - - - -
7-3 ?? Black in 3 (best: 7-2, 9-4, 9-10, 9-3, 9-5, 14-19, 14-15, 14-10, 14-20, 18-23 Draw)
*Black in 3
problem: Black on 8 12 13 17; Red on 7 9 14 18; Red to move and win
Initially: Draw
18-23 Draw
#Visualization, page 111
problem: Black on 9 10 13 15; Red on 8 12 17 19; Red to move and win
Initially: Red in 5
- - - - -
- - O @ @
- O @ - @
- O - O -
- - - - -
* 8-14! Red in 4
#Standard Game No. 1, page 118
game
12 Draw
7 Draw
13 Draw
14 !! Draw
17 Draw
18 !! Draw
9 Draw
16 Draw
12-8 Draw
14-10 !! Draw
8-14 Draw
18-19 ?? Black in 3 (best: 7-12, 7-8, 16-12, 18-12 Draw)
17-12 ! Black in 2
10-15 Black in 1
12-8 ! Black wins
#Standard Game No. 2, page 119
game
11 Draw
15 Draw
12 Draw
14 Draw
17 Draw
16 !! Draw
18 Draw
7 !! Draw
17-13 Draw
16-17 !! Draw
13-19 Draw
15-20 Draw
19-24 Draw
7-6 !! Draw
12-13 Draw
17-12 Draw
24-19 ?? Red in 3 (best: 11-7, 13-8, 13-7 Draw)
12-8 ! Red in 2
11-7 Red in 1
6-2 ! Red wins
#Standard Game No. 3, page 120
game
19 Draw
12 Draw
7 ?? Red in 11 (best: 9, 13, 14, 15, 17, 18, 20, 23, 24, 25 Draw)
13 !! Red in 10
14 ! Red in 9
9 ?= Draw (best: 17 Red in 8)
17 Draw
18 Draw
7-8 Draw
9-3 Draw
17-23 Draw
3-9 Draw
23-17 Draw
12-7 Draw
17-11 Draw
18-17 Draw
11-6 Draw
7-12 ?? Black in 3 (best: 7-2, 9-15 Draw)
6-2 Black in 2
12-16 Black in 1
19-20 !! Black wins
#Standard Game No. 4, page 121
game
12 Draw
13 Draw
6 Draw
19 Draw
24 Draw
18 !! Draw
14 !! Draw
8 Draw
24-23 !! Draw
19-15 Draw
12-7 ?? Red in 11 (best: 6-7, 6-2, 14-9 Draw)
15-9 ! Red in 10
7-3 ! Red in 9
18-17 ! Red in 8
3-4 ! Red in 7
8-12 ! Red in 6
23-22 ! Red in 5
9-8 ! Red in 4
6-7 Red in 3
12-18 ! Red in 2
22-23 Red in 1
8-12 ! Red wins
#Standard Game No. 5, page 122
game
17 Draw
18 Draw
13 Draw
9 !! Draw
12 Draw
14 Draw
2 Draw
7 !! Draw
2-8 Draw
9-10 Draw
13-9 Draw
10-4 Draw
8-13 Draw
18-22 !! Draw
12-18 Draw
4-8 Draw
9-15 Draw
14-19 Draw
18-14 Draw
8-12 ?? Black in 5 (best: 7-12 Draw)
15-9 Black in 4
19-15 Black in 3
14-10 ! Black in 2
7-8 Black in 1
10-5 ! Black wins
#Standard Game No. 6, page 123
game
16 Draw
17 Draw
11 Draw
6 Draw
12 Draw
18 Draw
13 Draw
7 Draw
13-8 Draw
17-13 Draw
12-17 !! Draw
6-12 Draw
17-23 ?? Red in 3 (best: 11-6 Draw)
13-17 ! Red in 2
8-13 Red in 1
18-22 ! Red wins
#Standard Game No. 7, page 124
game
17 Draw
13 Draw
12 Draw
7 Draw
16 Draw
11 !! Draw
18 ?? Red in 9 (best: 1, 2, 6, 8, 9, 14, 19, 21, 22, 23 Draw)
19 ! Red in 8
12-6 ! Red in 7
11-12 ! Red in 6
18-14 ! Red in 5
12-18 ! Red in 4
14-20 Red in 3
7-8 Red in 2
20-14 Red in 1
19-23 ! Red wins
#Standard Game No. 8, page 125
game
19 Draw
13 Draw
18 Draw
17 Draw
24 Draw
23 !! Draw
14 ?? Red in 9 (best: 7, 8, 9, 12, 15, 16, 20, 21, 22, 25 Draw)
12 ?= Draw (best: 9 Red in 8)
14-9 !! Draw
13-14 !! Draw
9-13 Draw
12-8 Draw
18-12 Draw
8-7 Draw
24-18 Draw
23-22 ?? Black in 7 (best: 7-2, 7-6, 7-8, 7-1, 7-3, 7-11, 14-15, 17-16, 23-24 Draw)
12-8 ?= Draw (best: 19-23 Black in 6)
22-23 Draw
19-15 Draw
14-9 ?? Black in 3 (best: 7-2, 7-3, 17-12, 23-22, 23-24, 23-19 Draw)
8-14 ! Black in 2
17-12 Black in 1
15-19 ! Black wins
#Standard Game No. 9, page 126
game
9 Draw
13 Draw
19 Draw
14 Draw
12 Draw
18 Draw
15 Draw
8 Draw
15-20 Draw
14-10 Draw
12-7 ?? Red in 7 (best: 12-17, 19-14, 20-15, 20-14, 20-24 Draw)
8-14 ? Red in 12 (best: 10-4 Red in 6)
19-23 ?~ Red in 3 (best: 20-25 Red in 11)
10-15 ! Red in 2
7-12 Red in 1
15-19 ! Red wins
#Standard Game No. 10, page 127
game
19 Draw
14 Draw
13 Draw
7 !! Draw
18 Draw
8 Draw
16 Draw
17 !! Draw
16-12 Draw
8-9 Draw
19-23 Draw
7-8 Draw
12-7 Draw
17-12 Draw
23-19 Draw
14-20 !! Draw
7-11 Draw
12-17 Draw
18-12 Draw
9-14 !! Draw
11-7 Draw
8-2 !! Draw
12-8 Draw
14-18 ?? Black in 5 (best: 17-12, 17-18 Draw)
19-14 ! Black in 4
17-12 Black in 3
13-9 Black in 2
18-13 Black in 1
14-10 ! Black wins
#Standard Game No. 11, page 128
game
19 Draw
13 Draw
18 Draw
17 Draw
9 Draw
14 Draw
11 Draw
12 Draw
19-15 Draw
12-8 Draw
11-12 Draw
17-11 Draw
9-3 Draw
11-7 Draw
3-9 Draw
14-19 Draw
12-6 !! Draw
8-12 Draw
18-17 ?? Red in 3 (best: 9-14, 9-8, 15-14 Draw)
12-18 ? Red in 4 (best: 19-14 Red in 2)
15-20 Red in 3
7-8 ! Red in 2
17-23 Red in 1
8-14 ! Red wins
#Standard Game No. 12, page 129
game
9 Draw
14 Draw
13 Draw
17 !! Draw
8 Draw
18 Draw
6 Draw
7 !! Draw
6-12 Draw
17-23 ?? Black in 11 (best: 7-6, 14-15, 17-22, 17-16, 17-11, 17-21, 18-23, 18-19, 18-22, 18-24 Draw)
12-17 ! Black in 10
14-10 ! Black in 9
8-12 ! Black in 8
23-22 ! Black in 7
9-14 ! Black in 6
7-11 ! Black in 5
13-7 ! Black in 4
11-6 Black in 3
14-8 Black in 2
18-13 Black in 1
8-2 ! Black wins
#Standard Game No. 13, page 130
game
9 Draw
12 Draw
14 Draw
19 !! Draw
2 Draw
6 Draw
20 Draw
8 !! Draw
9-13 Draw
12-18 Draw
20-24 Draw
8-12 Draw
13-8 Draw
19-20 !! Draw
14-13 Draw
20-19 Draw
8-14 Draw
6-11 Draw
24-20 Draw
12-8 !! Draw
20-15 Draw
19-24 Draw
2-7 ?? Red in 11 (best: 2-6, 13-12, 13-7, 13-17, 14-19, 15-20, 15-9, 15-19 Draw)
8-12 ! Red in 10
7-6 ! Red in 9
24-19 ?= Draw (best: 11-17 Red in 8)
13-17 !! Draw
12-13 Draw
6-12 Draw
11-7 Draw
15-20 !! Draw
7-8 Draw
17-23 !! Draw
19-15 Draw
14-9 !! Draw
15-10 Draw
12-7 ?? Red in 7 (best: 12-17, 20-19, 20-14, 23-17, 23-19 Draw)
10-4 ! Red in 6
9-3 Red in 5
8-9 Red in 4
23-17 Red in 3
18-14 ! Red in 2
20-19 Red in 1
4-8 ! Red wins
#Standard Game No. 14, page 131
game
24 Draw
14 Draw
23 Draw
22 !! Draw
18 Draw
19 !! Draw
17 Draw
13 Draw
17-12 Draw
22-17 Draw
23-22 !! Draw
17-11 Draw
22-17 Draw
19-15 ?? Black in 7 (best: 11-7, 13-8, 13-7, 14-15, 14-8, 14-20, 19-23, 19-25 Draw)
24-19 Black in 6
11-16 ! Black in 5
17-11 ! Black in 4
15-20 Black in 3
19-24 ! Black in 2
13-7 Black in 1
11-6 ! Black wins
#Standard Game No. 15, page 132
game
7 Draw
13 Draw
8 Draw
9 Draw
17 Draw
12 Draw
14 Draw
18 Draw
7-2 Draw
9-15 Draw
17-23 Draw
15-19 Draw
23-24 Draw
19-20 !! Draw
24-19 Draw
18-17 Draw
2-3 Draw
20-24 Draw
19-18 Draw
24-23 Draw
8-9 ?? Red in 7 (best: 3-2, 3-7, 3-9, 8-7, 14-9, 14-19, 14-20 Draw)
13-7 ! Red in 6
18-22 ! Red in 5
17-18 ! Red in 4
3-2 Red in 3
7-6 Red in 2
14-19 Red in 1
23-24 ! Red wins
#Standard Game No. 16, page 133
game
13 Draw
19 ?? Black in 13 (best: 8, 12, 14, 18 Draw)
14 ?= Draw (best: 8, 12 Black in 12)
12 !! Draw
9 Draw
8 !! Draw
17 Draw
10 Draw
14-18 Draw
12-16 !! Draw
18-12 Draw
10-14 Draw
9-3 Draw
8-7 Draw
12-8 Draw
14-18 ?? Black in 5 (best: 19-18 Draw)
3-9 Black in 4
16-12 Black in 3
8-4 Black in 2
7-6 Black in 1
4-5 !! Black wins
#Standard Game No. 17, page 134
game
19 Draw
13 Draw
18 Draw
17 Draw
9 Draw
24 Draw
14 Draw
8 Draw
14-10 Draw
8-14 Draw
18-12 Draw
24-18 Draw
10-15 Draw
14-8 Draw
19-23 !! Draw
17-11 Draw
12-7 ?? Red in 3 (best: 9-3, 15-14, 15-19, 23-24, 23-19 Draw)
8-12 ! Red in 2
23-17 Red in 1
18-14 ! Red wins
#Standard Game No. 18, page 135
game
4 Draw
13 Draw
9 Draw
14 Draw
8 Draw
3 !! Draw
12 Draw
1 Draw
12-7 Draw
14-10 !! Draw
8-14 Draw
10-15 Draw
9-8 Draw
13-9 Draw
14-13 Draw
1-6 !! Draw
13-12 Draw
6-11 !! Draw
7-13 Draw
9-14 ?? Black in 13 (best: 11-16, 11-17, 15-10, 15-20, 15-14, 15-19 Draw)
4-9 ! Black in 12
11-7 ? Black in 5 (best: 3-7 Black in 11)
12-17 ? Black in 6 (best: 8-4 Black in 4)
3-4 Black in 5
8-12 ! Black in 4
4-8 Black in 3
12-16 Black in 2
15-20 Black in 1
16-21 !! Black wins
#Standard Game No. 19, page 136
game
16 Draw
13 Draw
17 Draw
14 Draw
12 Draw
11 !! Draw
7 Draw
22 !! Draw
12-8 Draw
11-12 Draw
17-18 !! Draw
22-23 Draw
18-19 ?? Red in 3 (best: 8-9 Draw)
12-18 ?= Draw (best: 23-17 Red in 2)
16-12 Draw
23-17 Draw
19-20 ?? Red in 7 (best: 7-11, 8-9 Draw)
13-19 Red in 6
12-13 Red in 5
19-15 ! Red in 4
8-9 Red in 3
15-10 ! Red in 2
20-24 Red in 1
17-22 ! Red wins
#Standard Game No. 20, page 137
game
13 Draw
23 ?? Black in 13 (best: 8, 12, 14, 18 Draw)
14 ?= Draw (best: 18 Black in 12)
12 !! Draw
19 Draw
18 !! Draw
4 Draw
9 !! Draw
4-8 Draw
12-7 Draw
8-12 Draw
9-15 !! Draw
13-9 Draw
7-8 !! Draw
19-13 Draw
18-17 Draw
9-3 Draw
17-11 Draw
12-17 Draw
15-9 Draw
3-7 Draw
11-12 Draw
7-3 Draw
23-22 Draw
3-4 Draw
22-16 Draw
17-22 Draw
12-7 ?? Black in 3 (best: 8-3, 8-7, 8-2, 9-10, 9-5, 9-15, 12-17, 12-18, 16-11, 16-21, 16-17 Draw)
4-10 ! Black in 2
16-11 Black in 1
13-18 !! Black wins
#Standard Game No. 21, page 138
game
7 Draw
8 Draw
12 Draw
17 Draw
18 Draw
13 Draw
24 Draw
6 !! Draw
7-2 Draw
13-7 Draw
18-13 Draw
17-18 Draw
2-3 Draw
8-14 Draw
3-8 Draw
14-19 Draw
24-23 Draw
19-14 Draw
23-17 Draw
14-19 ?? Black in 7 (best: 6-11 Draw)
8-9 Black in 6
18-22 ?~ Black in 3 (best: 19-24 Black in 5)
9-14 ! Black in 2
6-11 Black in 1
14-18 ! Black wins
#Standard Game No. 22, page 139
game
9 Draw
17 Draw
8 Draw
7 !! Draw
13 Draw
14 !! Draw
12 Draw
18 Draw
9-3 Draw
14-19 Draw
3-2 Draw
17-11 Draw
2-3 Draw
19-14 Draw
13-17 Draw
14-9 Draw
17-16 Draw
9-4 !! Draw
12-13 Draw
7-12 Draw
3-9 Draw
11-17 Draw
16-11 Draw
4-3 Draw
11-7 Draw
18-14 !! Draw
13-18 Draw
17-13 Draw
18-19 Draw
3-4 Draw
19-15 ?? Red in 13 (best: 19-18, 19-23 Draw)
4-10 !! Red in 12
9-4 ? Red in 7 (best: 7-3 Red in 11)
10-9 ! Red in 6
7-11 Red in 5
13-19 ! Red in 4
15-20 Red in 3
12-18 Red in 2
20-24 Red in 1
9-13 ! Red wins
#Standard Game No. 23, page 140
game
19 Draw
13 Draw
18 Draw
17 Draw
24 Draw
23 !! Draw
9 Draw
14 !! Draw
24-20 Draw
23-22 Draw
20-15 Draw
13-12 Draw
9-13 Draw
12-8 Draw
18-12 Draw
8-9 Draw
19-18 Draw
17-11 ?? Black in 9 (best: 9-8, 9-3, 22-23 Draw)
15-19 ! Black in 8
22-17 ? Black in 5 (best: 11-17 Black in 7)
12-7 ! Black in 4
14-20 Black in 3
7-8 ! Black in 2
17-23 Black in 1
8-14 ! Black wins
#Standard Game No. 24, page 141
game
7 Draw
12 Draw
8 Draw
9 Draw
14 Draw
13 Draw
20 Draw
2 !! Draw
20-19 Draw
9-15 Draw
14-9 Draw
13-14 Draw
9-13 Draw
12-18 Draw
8-12 Draw
15-20 Draw
19-23 Draw
14-8 Draw
13-14 !! Draw
18-13 ?? Black in 5 (best: 2-1, 2-6, 8-13, 18-17, 20-15, 20-19 Draw)
23-24 ?= Draw (best: 23-17 Black in 4)
20-19 Draw
14-18 Draw
2-6 !! Draw
18-17 Draw
19-18 Draw
24-23 Draw
18-22 !! Draw
23-18 Draw
8-14 Draw
7-11 Draw
6-7 Draw
11-6 Draw
22-23 Draw
18-22 ?? Red in 7 (best: 6-11, 6-2, 17-16, 18-19, 18-24 Draw)
14-18 !! Red in 6
12-8 ! Red in 5
23-24 Red in 4
8-14 Red in 3
18-19 ! Red in 2
14-20 Red in 1
24-25 ! Red wins
#Standard Game No. 25, page 142
game
16 Draw
11 Draw
17 Draw
18 Draw
12 Draw
13 Draw
22 ?? Red in 17 (best: 1, 2, 3, 6, 7, 8, 14, 19 Draw)
1 ?= Draw (best: 8 Red in 16)
16-21 Draw
11-16 !! Draw
22-23 Draw
16-22 Draw
17-11 Draw
22-17 Draw
23-22 Draw
1-7 Draw
22-16 !! Draw
7-6 !! Draw
11-7 Draw
18-14 Draw
16-11 Draw
6-2 Draw
21-16 Draw
2-6 Draw
7-8 Draw
6-7 Draw
12-18 Draw
14-19 Draw
8-12 Draw
7-8 Draw
11-6 Draw
17-23 Draw
16-17 Draw
8-14 Draw
6-7 !! Draw
23-22 !! Draw
7-8 Draw
22-23 Draw
8-7 Draw
23-22 !! Draw
12-6 Draw
22-23 Draw
17-11 Draw
13-12 !! Draw
7-13 Draw
23-24 Draw
11-17 Draw
14-8 Draw
6-11 Draw
8-2 Draw
11-16 Draw
2-7 Draw
17-23 Draw
24-25 Draw
16-17 Draw
19-14 ?? Black in 5 (best: 7-2, 7-6, 7-8, 7-3, 7-11, 25-20, 25-24 Draw)
13-19 ! Black in 4
25-24 Black in 3
23-22 ! Black in 2
24-23 Black in 1
22-16 ! Black wins
#Standard Game No. 26, page 143
game
19 Draw
7 Draw
13 Draw
8 Draw
14 Draw
18 !! Draw
24 Draw
9 !! Draw
24-23 !! Draw
9-3 Draw
23-17 Draw
7-12 Draw
14-9 Draw
3-4 Draw
19-23 Draw
18-22 Draw
17-16 !! Draw
22-17 Draw
13-7 Draw
17-13 Draw
7-3 Draw
4-10 Draw
9-14 ?? Red in 7 (best: 3-7, 16-17 Draw)
10-9 ! Red in 6
3-7 ! Red in 5
12-17 ! Red in 4
14-10 Red in 3
17-18 ! Red in 2
10-14 Red in 1
9-3 ! Red wins
#Standard Game No. 27, page 144
game
24 Draw
13 Draw
19 Draw
9 Draw
18 Draw
23 !! Draw
17 Draw
20 !! Draw
18-14 Draw
20-15 Draw
24-18 Draw
15-20 !! Draw
14-8 Draw
13-12 !! Draw
19-13 Draw
9-3 ?? Black in 9 (best: 9-4, 9-14, 20-15, 20-25, 20-19, 20-14, 20-24 Draw)
8-9 ! Black in 8
23-22 ! Black in 7
18-14 ! Black in 6
3-4 ! Black in 5
17-18 ! Black in 4
4-8 Black in 3
13-19 ! Black in 2
20-24 Black in 1
9-13 ! Black wins
#Standard Game No. 28, page 145
game
18 Draw
17 Draw
13 Draw
8 !! Draw
14 Draw
19 !! Draw
12 Draw
9 Draw
12-11 Draw
17-12 Draw
11-7 Draw
9-15 Draw
14-9 Draw
19-14 Draw
18-17 Draw
12-6 Draw
7-2 Draw
6-12 Draw
2-3 Draw
15-10 Draw
3-4 Draw
10-5 !! Draw
4-10 Draw
14-18 Draw
10-14 Draw
5-4 Draw
9-10 Draw
18-22 Draw
17-16 !! Draw
22-17 Draw
13-18 Draw
17-22 !! Draw
18-17 Draw
8-13 Draw
14-18 Draw
22-23 Draw
10-14 Draw
23-19 Draw
14-8 Draw
19-14 Draw
8-9 Draw
4-10 Draw
9-15 !! Draw
13-19 Draw
18-13 ?? Red in 5 (best: 15-9, 17-13 Draw)
10-9 ! Red in 4
15-10 Red in 3
12-18 ! Red in 2
17-23 Red in 1
18-24 ! Red wins
#Standard Game No. 29, page 146
game
20 Draw
14 Draw
19 Draw
13 Draw
18 Draw
17 !! Draw
23 Draw
24 !! Draw
23-22 Draw
24-23 Draw
20-15 Draw
23-24 Draw
15-9 Draw
24-20 Draw
19-15 Draw
17-12 Draw
9-8 Draw
12-7 Draw
18-19 Draw
20-24 Draw
22-18 Draw
24-23 Draw
8-12 Draw
23-24 Draw
15-20 Draw
13-17 !! Draw
12-13 Draw
24-23 Draw
20-15 Draw
17-12 Draw
15-9 Draw
12-8 Draw
18-17 Draw
14-18 ?? Black in 5 (best: 7-2, 7-12, 7-6, 7-1, 7-3, 7-11, 8-12, 23-18, 23-22, 23-24 Draw)
19-14 ! Black in 4
8-4 Black in 3
17-12 ! Black in 2
7-8 Black in 1
9-15 ! Black wins
#Standard Game No. 30, page 147
game
12 Draw
13 Draw
11 Draw
7 Draw
17 Draw
16 !! Draw
18 Draw
19 Draw
11-6 Draw
16-22 Draw
17-23 Draw
19-24 !! Draw
23-19 Draw
22-17 Draw
12-8 Draw
7-12 Draw
19-20 Draw
13-14 Draw
20-19 Draw
17-13 Draw
8-7 Draw
24-20 Draw
19-15 !! Draw
12-8 Draw
18-19 Draw
20-24 Draw
19-18 Draw
24-23 Draw
15-20 Draw
8-12 Draw
20-19 ?? Red in 9 (best: 6-11, 7-8, 20-15 Draw)
23-22 ?= Draw (best: 23-17 Red in 8)
18-17 ?? Red in 13 (best: 7-8 Draw)
12-18 ! Red in 12
19-15 ?~ Red in 3 (best: 6-1 Red in 11)
22-23 ! Red in 2
15-19 Red in 1
14-8 ! Red wins
#Problem No. 1, page 151
problem: Black on 7 8 10 19; Red on 9 12 14 18; Red to move and win
Initially: Red in 7
- - - - -
- @ @ O @
- O - O -
- - O @ -
- - - - -
*18-13! 10-15 14-10! Red in 4
* 19-15 13-19! Red in 4
18-13 ! Red in 6
10-15 Red in 5
14-10 ! Red in 4
8-4 Red in 3
10-5 ! Red in 2
19-18 Red in 1
12-17 ! Red wins
problem: Black on 7 8 10 19; Red on 9 12 14 18; Red to move and win
Initially: Red in 7
18-13 ! Red in 6
10-15 Red in 5
14-10 ! Red in 4
19-18 Red in 3
12-17 ! Red in 2
8-4 Red in 1
10-5 ! Red wins
problem: Black on 7 8 10 19; Red on 9 12 14 18; Red to move and win
Initially: Red in 7
18-13 ! Red in 6
19-15 Red in 5
13-19 ! Red in 4
15-20 Red in 3
9-13 Red in 2
10-15 Red in 1
12-18 ! Red wins
problem: Black on 7 8 10 19; Red on 9 12 14 18; Red to move and win
Initially: Red in 7
18-13 ! Red in 6
19-15 Red in 5
13-19 ! Red in 4
15-20 Red in 3
12-18 Red in 2
20-24 Red in 1
9-13 ! Red wins
problem: Black on 7 8 10 19; Red on 9 12 14 18; Red to move and win
Initially: Red in 7
18-13 ! Red in 6
19-15 Red in 5
13-19 ! Red in 4
15-20 Red in 3
12-18 Red in 2
8-13 Red in 1
18-24 ! Red wins
#Problem No. 2, page 151
problem: Black on 9 11 12 18; Red on 7 10 13 20; Red to move and win
Initially: Red in 5
- - - - -
- O - @ O
@ @ O - -
- - @ - O
- - - - -
*10-14! Red in 4
10-14 ! Red in 4
9-8 Red in 3
14-19 ! Red in 2
18-24 Red in 1
20-25 ! Red wins
problem: Black on 9 11 12 18; Red on 7 10 13 20; Red to move and win
Initially: Red in 5
10-14 ! Red in 4
18-19 Red in 3
13-8 ! Red in 2
9-3 Red in 1
7-2 ! Red wins
#Problem No. 3, page 151
problem: Black on 7 9 13 18; Red on 2 15 19 24; Red to move, Black to win
Initially: Black in 6
- O - - -
- @ - @ -
- - @ - O
- - @ O -
- - - O -
* 2- 8! 9-14! Black in 4
2-8 ! Black in 5
9-14 ! Black in 4
8-12 Black in 3
14-8 ! Black in 2
15-9 Black in 1
7-3 ! Black wins
problem: Black on 7 9 13 18; Red on 2 15 19 24; Red to move, Black to win
Initially: Black in 6
2-8 ! Black in 5
9-14 ! Black in 4
24-23 Black in 3
18-12 ! Black in 2
23-17 Black in 1
7-11 ! Black wins
#Problem No. 4, page 151
problem: Black on 1 12 13 18; Red on 6 9 14 23; Black to move and win
Initially: Black in 5
@ - - - -
O - - O -
- @ @ O -
- - @ - -
- - O - -
* 1- 7! Black in 4
1-7 ! Black in 4
23-17 Black in 3
12-8 ! Black in 2
17-12 Black in 1
7-3 ! Black wins
problem: Black on 1 12 13 18; Red on 6 9 14 23; Black to move and win
Initially: Black in 5
1-7 ! Black in 4
23-17 Black in 3
12-8 ! Black in 2
9-3 Black in 1
18-12 ! Black wins
problem: Black on 1 12 13 18; Red on 6 9 14 23; Black to move and win
Initially: Black in 5
1-7 ! Black in 4
9-8 Black in 3
13-17 ! Black in 2
23-22 Black in 1
7-13 ! Black wins
problem: Black on 1 12 13 18; Red on 6 9 14 23; Black to move and win
Initially: Black in 5
1-7 ! Black in 4
9-8 Black in 3
13-17 ! Black in 2
14-13 Black in 1
18-22 ! Black wins
#Problem No. 5, page 151
problem: Black on 7 8 14 18; Red on 13 19 22 23; Black to move and win
Initially: Black in 5
- - - - -
- @ @ - -
- - O @ -
- - @ O -
- O O - -
*14- 9! Black in 4
14-9 ! Black in 4
19-14 Black in 3
18-12 ! Black in 2
22-16 Black in 1
12-6 ! Black wins
problem: Black on 7 8 14 18; Red on 13 19 22 23; Black to move and win
Initially: Black in 5
14-9 ! Black in 4
13-12 Black in 3
18-14 Black in 2
19-15 Black in 1
14-10 Black wins
problem: Black on 7 8 14 18; Red on 13 19 22 23; Black to move and win
Initially: Black in 5
14-9 ! Black in 4
13-17 Black in 3
7-13 Black in 2
19-14 Black in 1
9-3 ! Black wins
#Problem No. 6, page 151
problem: Black on 14 18 19 24; Red on 13 15 17 23; Red to move and win
Initially: Red in 9
- - - - -
- - - - -
- - O @ O
- O @ @ -
- - O @ -
*15- 9! 18-22! 23-18! 14- 8! 18-14! Red in 4
15-9 ! Red in 8
18-22 ! Red in 7
23-18 ! Red in 6
14-8 ! Red in 5
18-14 ! Red in 4
8-4 Red in 3
9-15 Red in 2
22-16 Red in 1
17-12 ! Red wins
problem: Black on 14 18 19 24; Red on 13 15 17 23; Red to move and win
Initially: Red in 9
15-9 ! Red in 8
18-22 ! Red in 7
23-18 ! Red in 6
14-8 ! Red in 5
18-14 ! Red in 4
8-4 Red in 3
17-12 Red in 2
19-15 Red in 1
12-8 ! Red wins
problem: Black on 14 18 19 24; Red on 13 15 17 23; Red to move and win
Initially: Red in 9
15-9 ! Red in 8
18-22 ! Red in 7
23-18 ! Red in 6
14-8 ! Red in 5
18-14 ! Red in 4
8-4 Red in 3
17-12 Red in 2
4-8 Red in 1
9-15 ! Red wins
#Problem No. 7, page 152
problem: Black on 9 13 14 23; Red on 3 7 8 18; Black to move and win
Initially: Black in 5
- - O - -
- O O @ -
- - @ @ -
- - O - -
- - @ - -
*23-17! Black in 4
23-17 ! Black in 4
3-4 Black in 3
17-12 ! Black in 2
18-19 Black in 1
9-15 ! Black wins
#Problem No. 8, page 152
problem: Black on 13 15 17 22; Red on 14 16 18 20; Black to move and win
Initially: Black in 7
- - - - -
- - - - -
- - @ O @
O @ O - O
- @ - - -
*15- 9! 16-21! 9- 8! Black in 4
15-9 ! Black in 6
16-21 ! Black in 5
9-8 ! Black in 4
18-12 Black in 3
17-18 Black in 2
20-24 Black in 1
22-23 ! Black wins
#Problem No. 9, page 152
problem: Black on 3 8 13 25; Red on 7 12 15 17; Black to move and win
Initially: Black in 7
- - @ - -
- O @ - -
- O @ - O
- O - - -
- - - - @
*25-19! 12-18 13-14! Black in 4
* 17-18 13-14! Black in 4
25-19 ! Black in 6
17-18 Black in 5
13-14 ! Black in 4
15-9 Black in 3
3-2 ! Black in 2
18-24 Black in 1
19-20 ! Black wins
problem: Black on 3 8 13 25; Red on 7 12 15 17; Black to move and win
Initially: Black in 7
25-19 ! Black in 6
12-18 Black in 5
13-14 ! Black in 4
7-2 Black in 3
8-9 Black in 2
15-10 Black in 1
3-4 ! Black wins
#Problem No. 10, page 152
problem: Black on 7 8 17 18; Red on 3 6 11 12; Red to move, Black to win
Initially: Black in 8
- - O - -
O @ @ - -
O O - - -
- @ @ - -
- - - - -
* 3- 2! 17-13! 2- 3! 13- 9! Black in 4
3-2 ! Black in 7
17-13 ! Black in 6
2-3 ! Black in 5
13-9 ! Black in 4
3-4 Black in 3
7-13 Black in 2
4-3 Black in 1
18-14 ! Black wins
problem: Black on 7 8 17 18; Red on 3 6 11 12; Red to move, Black to win
Initially: Black in 8
3-2 ! Black in 7
17-13 ! Black in 6
2-3 ! Black in 5
13-9 ! Black in 4
3-4 Black in 3
18-14 Black in 2
4-10 Black in 1
7-13 ! Black wins
problem: Black on 7 8 17 18; Red on 3 6 11 12; Red to move, Black to win
Initially: Black in 8
3-2 ! Black in 7
17-13 ! Black in 6
2-3 ! Black in 5
13-9 ! Black in 4
3-4 Black in 3
18-14 Black in 2
12-13 Black in 1
14-10 ! Black wins
#Problem No. 11, page 152
problem: Black on 3 10 15 18; Red on 7 13 16 17; Black to move and win
Initially: Black in 7
- - @ - -
- O - - @
- - O - @
O O @ - -
- - - - -
* 3- 9! 13-14! 18-19! Black in 4
3-9 ! Black in 6
13-14 ! Black in 5
18-19 ! Black in 4
7-8 Black in 3
19-20 ! Black in 2
8-4 Black in 1
9-5 ! Black wins
#Problem No. 12, page 152
problem: Black on 14 18 22 23; Red on 7 12 13 19; Black to move, Red to win
Initially: Red in 10
- - - - -
- O - - -
- O O @ -
- - @ O -
- @ @ - -
*18-17! 19-18! 14- 8! 7-11 8-14! 12- 8! Red in 4
* 13-19 8- 2 7-13 Red in 4
* 12-13 Red in 4
* 18-13 Red in 4
* 17-11 7-13! Red in 4
* 23-24 18-13! Red in 4
18-17 ! Red in 9
19-18 ! Red in 8
14-8 ! Red in 7
13-19 Red in 6
23-24 Red in 5
18-13 ! Red in 4
8-2 Red in 3
19-14 Red in 2
2-8 Red in 1
7-11 ! Red wins
problem: Black on 14 18 22 23; Red on 7 12 13 19; Black to move, Red to win
Initially: Red in 10
18-17 ! Red in 9
19-18 ! Red in 8
14-8 ! Red in 7
13-19 Red in 6
23-24 Red in 5
18-13 ! Red in 4
8-2 Red in 3
19-14 Red in 2
17-11 Red in 1
14-8 ! Red wins
problem: Black on 14 18 22 23; Red on 7 12 13 19; Black to move, Red to win
Initially: Red in 10
18-17 ! Red in 9
19-18 ! Red in 8
14-8 ! Red in 7
13-19 Red in 6
17-11 Red in 5
7-13 ! Red in 4
11-17 Red in 3
18-14 ! Red in 2
22-18 Red in 1
19-15 ! Red wins
problem: Black on 14 18 22 23; Red on 7 12 13 19; Black to move, Red to win
Initially: Red in 10
18-17 ! Red in 9
12-18 ?=! Draw (best: 19-18 Red in 8)
23-24 !! Draw
7-8 Draw
22-23 ?? Red in 5 (best: 17-23 Draw)
19-15 ! Red in 4
14-9 Red in 3
8-14 ! Red in 2
17-12 Red in 1
15-19 ! Red wins
problem: Black on 14 18 22 23; Red on 7 12 13 19; Black to move, Red to win
Initially: Red in 10
18-17 ! Red in 9
12-18 ?=! Draw (best: 19-18 Red in 8)
23-24 !! Draw
7-8 Draw
22-23 ?? Red in 5 (best: 17-23 Draw)
19-15 ! Red in 4
14-9 Red in 3
8-14 ! Red in 2
24-19 Red in 1
18-12 ! Red wins
#Problem No. 13, page 153
problem: Black on 7 8 10 13; Red on 6 9 16 24; Black to move and win
Initially: Black in 9
- - - - -
O @ @ O @
- - @ - -
O - - - -
- - - O -
*10-14! 16-12! 14-18! 9- 3! 13- 9! Black in 4
10-14 ! Black in 8
16-12 ! Black in 7
14-18 ! Black in 6
9-3 ! Black in 5
13-9 ! Black in 4
3-4 Black in 3
7-13 Black in 2
4-3 Black in 1
18-14 ! Black wins
problem: Black on 7 8 10 13; Red on 6 9 16 24; Black to move and win
Initially: Black in 9
10-14 ! Black in 8
16-12 ! Black in 7
14-18 ! Black in 6
9-3 ! Black in 5
13-9 ! Black in 4
3-4 Black in 3
18-14 Black in 2
4-10 Black in 1
7-13 ! Black wins
problem: Black on 7 8 10 13; Red on 6 9 16 24; Black to move and win
Initially: Black in 9
10-14 ! Black in 8
16-12 ! Black in 7
14-18 ! Black in 6
9-3 ! Black in 5
13-9 ! Black in 4
3-4 Black in 3
18-14 Black in 2
12-13 Black in 1
14-10 ! Black wins
#Problem No. 14, page 153
problem: Black on 7 13 18 19; Red on 8 11 12 17; Red to move, Black to win
Initially: Black in 10
- - - - -
- @ O - -
O O @ - -
- O @ @ -
- - - - -
*12-16! 7-12! 8-14! 13- 7 11- 6 12-13! Black in 4
* 14-20 12-13 Black in 4
* 18-13 Black in 4
* 19-13 Black in 4
* 17-23 19-13! Black in 4
* 19-23 14- 8! 18-14! Black in 4
- - - - -
- @ O - -
O O @ - -
- O @ @ -
- - - - -
*12-16! 7-12! 8-14! 13- 7 11- 6 12-13! Black in 4
* 14-20 12-13 Black in 4
* 18-13 Black in 4
* 19-13 Black in 4
* 17-23 19-13! Black in 4
* 19-23 14- 8! 18-14! Black in 4
12-16 ! Black in 9
7-12 ! Black in 8
8-14 ! Black in 7
19-23 Black in 6
14-8 ! Black in 5
18-14 ! Black in 4
8-9 Black in 3
12-18 Black in 2
9-8 Black in 1
23-19 ! Black wins
#Problem No. 15, page 153
problem: Black on 2 9 14 16; Red on 7 12 18 19; Black to move, Red to win
Initially: Red in 6
- @ - - -
- O - @ -
- O - @ -
@ - O O -
- - - - -
* 2- 6 12-13 Red in 4
* 19-13 Red in 4
*14-20 7-13 Red in 4
* 19-13 Red in 4
2-6 Red in 5
19-13 Red in 4
16-17 Red in 3
12-8 ! Red in 2
17-12 Red in 1
7-3 ! Red wins
problem: Black on 2 9 14 16; Red on 7 12 18 19; Black to move, Red to win
Initially: Red in 6
14-20 Red in 5
19-13 Red in 4
9-8 Red in 3
13-17 Red in 2
8-13 Red in 1
18-22 ! Red wins
problem: Black on 2 9 14 16; Red on 7 12 18 19; Black to move, Red to win
Initially: Red in 6
14-20 Red in 5
19-13 Red in 4
9-8 Red in 3
13-17 Red in 2
16-22 Red in 1
7-13 ! Red wins
#Problem No. 16, page 153
problem: Black on 7 8 9 18; Red on 15 23 24 25; Red to move and win
Initially: Red in 3
- - - - -
- @ @ @ -
- - - - O
- - @ - -
- - O O O
*Red in 3
23-19 !! Red in 2
18-14 Red in 1
15-20 !! Red wins
#Problem No. 17, page 153
problem: Black on 8 9 12 17; Red on 10 11 13 20; Black to move and win
Initially: Black in 5
- - - - -
- - @ @ O
O @ O - -
- @ - - O
- - - - -
* 9- 3! Black in 4
9-4 ? Black in 6 (best: 9-3 Black in 4)
11-16 ! Black in 5
4-3 ! Black in 4
13-7 Black in 3
12-13 Black in 2
20-19 Black in 1
17-18 ! Black wins
#Problem No. 18, page 153
problem: Black on 7 8 13 19; Red on 12 15 18 20; Red to move, Black to win
Initially: Black in 6
- - - - -
- @ @ - -
- O @ - O
- - O @ O
- - - - -
*12- 6! 19-14! Black in 4
12-6 ! Black in 5
19-14 ! Black in 4
15-9 Black in 3
8-12 ! Black in 2
9-8 Black in 1
7-11 ! Black wins
problem: Black on 7 8 13 19; Red on 12 15 18 20; Red to move, Black to win
Initially: Black in 6
12-6 ! Black in 5
19-14 ! Black in 4
15-9 Black in 3
8-12 ! Black in 2
6-11 Black in 1
14-8 ! Black wins
problem: Black on 7 8 13 19; Red on 12 15 18 20; Red to move, Black to win
Initially: Black in 6
12-6 ! Black in 5
19-14 ! Black in 4
6-12 Black in 3
13-9 ! Black in 2
15-10 Black in 1
7-13 ! Black wins
problem: Black on 7 8 13 19; Red on 12 15 18 20; Red to move, Black to win
Initially: Black in 6
12-6 ! Black in 5
19-14 ! Black in 4
6-12 Black in 3
13-9 ! Black in 2
18-13 Black in 1
14-10 ! Black wins
#Problem No. 19, page 154
problem: Black on 2 8 10 11; Red on 3 13 14 17; Red to move and win
Initially: Red in 7
- @ O - -
- - @ - @
@ - O O -
- O - - -
- - - - -
* 3- 9! 2- 7 9-15 Red in 4
* 13-19 Red in 4
* 17-18 Red in 4
* 17-23 Red in 4
* 2- 1 9-15 Red in 4
* 13-19 Red in 4
* 17-18 Red in 4
* 17-23 Red in 4
* 2- 3 9-15 Red in 4
* 13-19 Red in 4
* 17-18 Red in 4
* 17-23 Red in 4
* 2- 6 9-15 Red in 4
* 13-19 Red in 4
* 17-18 Red in 4
* 17-23 Red in 4
* 8-12 9-15 Red in 4
* 14-18 Red in 4
* 17-18 Red in 4
* 11- 6 9-15 Red in 4
* 13-19 Red in 4
* 14-18 Red in 4
* 17-18 Red in 4
* 17-23 Red in 4
* 11-16 9-15 Red in 4
* 13-19 Red in 4
* 17-18 Red in 4
* 17-23 Red in 4
* 11-12 9-15 Red in 4
* 17-18 Red in 4
* 11- 7 9-15! Red in 4
3-9 ! Red in 6
11-12 Red in 5
17-18 Red in 4
10-15 Red in 3
13-19 ! Red in 2
12-13 Red in 1
18-24 ! Red wins
#Problem No. 20, page 154
problem: Black on 1 2 8 13; Red on 7 12 14 19; Red to move and win
Initially: Red in 5
@ @ - - -
- O @ - -
- O @ O -
- - - O -
- - - - -
* 7- 6! Red in 4
14-18 ? Red in 10 (best: 7-6 Red in 4)
1-6 Red in 9
18-23 ?= Draw (best: 19-23 Red in 8)
13-17 ?? Red in 5 (best: 2-3, 8-14 Draw)
7-13 ? Red in 12 (best: 12-13 Red in 4)
2-3 ? Red in 5 (best: 17-18 Red in 11)
19-14 Red in 4
3-9 Red in 3
12-18 Red in 2
17-12 Red in 1
23-19 ! Red wins
#Problem No. 21, page 154
problem: Black on 6 7 12 18; Red on 3 9 15 17; Black to move and win
Initially: Black in 9
- - O - -
@ @ - O -
- @ - - O
- O @ - -
- - - - -
*12-11! 17-12! 18-17! 3- 2! 11-16! Black in 4
12-11 ! Black in 8
17-12 ! Black in 7
18-17 ! Black in 6
3-2 ! Black in 5
11-16 ! Black in 4
12-11 Black in 3
6-12 ! Black in 2
15-19 Black in 1
16-22 ! Black wins
problem: Black on 6 7 12 18; Red on 3 9 15 17; Black to move and win
Initially: Black in 9
12-11 ! Black in 8
17-12 ! Black in 7
18-17 ! Black in 6
3-2 ! Black in 5
11-16 ! Black in 4
9-13 Black in 3
7-11 ! Black in 2
13-18 Black in 1
17-21 ! Black wins
#Problem No. 22, page 154
problem: Black on 9 12 17 18; Red on 2 8 13 14; Red to move and win
Initially: Red in 5
- O - - -
- - O @ -
- @ O O -
- @ @ - -
- - - - -
*14-19! Red in 4
14-19 ! Red in 4
12-7 Red in 3
13-14 ! Red in 2
9-15 Red in 1
19-20 ! Red wins
problem: Black on 9 12 17 18; Red on 2 8 13 14; Red to move and win
Initially: Red in 5
14-19 ! Red in 4
9-14 Red in 3
8-7 ! Red in 2
12-6 Red in 1
2-1 ! Red wins
#Problem No. 23, page 154
problem: Black on 3 12 14 17; Red on 6 8 20 23; Black to move and win
Initially: Draw
- - @ - -
O - O - -
- @ - @ -
- @ - - O
- - O - -
3-9 Draw
6-11 ?? Black in 5 (best: 23-18 Draw)
12-13 ! Black in 4
8-4 Black in 3
17-12 Black in 2
20-15 Black in 1
12-8 ! Black wins
problem: Black on 3 12 14 17; Red on 6 8 20 23; Black to move and win
Initially: Draw
3-9 Draw
6-11 ?? Black in 5 (best: 23-18 Draw)
12-13 ! Black in 4
8-4 Black in 3
17-12 Black in 2
4-8 Black in 1
9-15 ! Black wins
problem: Black on 3 12 14 17; Red on 6 8 20 23; Black to move and win
Initially: Draw
3-9 Draw
8-13 ?? Black in 5 (best: 23-18 Draw)
14-8 ! Black in 4
23-22 Black in 3
17-16 ! Black in 2
6-2 Black in 1
9-4 ! Black wins
#Problem No. 24, page 154
problem: Black on 8 11 12 13; Red on 4 7 14 21; Black to move and win
Initially: Black in 13
- - - O -
- O @ - -
@ @ @ O -
- - - - -
O - - - -
*11-17! 14-18! 8-14! 7-11! 13-19 4- 9 17-13! 9-15! 13- 9! Black in 4
* 4-10 17-13! 10-15! 13- 9! Black in 4
* 17-23 4- 9 23-19! 9-15! 13- 9! Black in 4
* 4-10 23-19! 10-15! 13- 9! Black in 4
11-17 ! Black in 12
14-18 ! Black in 11
8-14 ! Black in 10
7-11 ! Black in 9
13-19 Black in 8
4-9 Black in 7
17-13 ! Black in 6
9-15 ! Black in 5
13-9 ! Black in 4
15-10 Black in 3
19-13 Black in 2
10-15 Black in 1
12-8 ! Black wins
#Problem No. 25, page 155
problem: Black on 8 9 18 22; Red on 3 6 13 17; Red to move, Black to win
Initially: Black in 8
- - O - -
O - @ @ -
- - O - -
- O @ - -
- @ - - -
* 3- 4 8-14! 4-10! 22-23! Black in 4
*13-14 9-13! 17-23! 18-17! Black in 4
13-14 Black in 7
9-13 ! Black in 6
17-23 ! Black in 5
18-17 ! Black in 4
3-9 Black in 3
8-12 ! Black in 2
6-7 Black in 1
22-18 ! Black wins
problem: Black on 8 9 18 22; Red on 3 6 13 17; Red to move, Black to win
Initially: Black in 8
13-14 Black in 7
9-13 ! Black in 6
17-23 ! Black in 5
18-17 ! Black in 4
3-9 Black in 3
8-12 ! Black in 2
23-18 Black in 1
13-7 ! Black wins
problem: Black on 8 9 18 22; Red on 3 6 13 17; Red to move, Black to win
Initially: Black in 8
3-4 Black in 7
8-14 ! Black in 6
4-10 ! Black in 5
22-23 ! Black in 4
13-19 Black in 3
14-13 Black in 2
6-7 Black in 1
9-8 ! Black wins
#Problem No. 26, page 155
problem: Black on 9 14 15 19; Red on 10 20 24 25; Red to move, Black to win
Initially: Black in 8
- - - - -
- - - @ O
- - - @ @
- - - @ O
- - - O O
*24-18! 19-13! 18-12! 15-19! Black in 4
24-18 ! Black in 7
19-13 ! Black in 6
18-12 ! Black in 5
15-19 ! Black in 4
12-8 Black in 3
13-18 ! Black in 2
8-13 Black in 1
18-24 ! Black wins
problem: Black on 9 14 15 19; Red on 10 20 24 25; Red to move, Black to win
Initially: Black in 8
24-18 ! Black in 7
19-13 ! Black in 6
18-12 ! Black in 5
15-19 ! Black in 4
12-8 Black in 3
13-18 ! Black in 2
25-24 Black in 1
9-13 ! Black wins
problem: Black on 9 14 15 19; Red on 10 20 24 25; Red to move, Black to win
Initially: Black in 8
24-18 ! Black in 7
19-13 ! Black in 6
18-12 ! Black in 5
15-19 ! Black in 4
12-18 Black in 3
13-8 ! Black in 2
18-13 Black in 1
8-4 ! Black wins
problem: Black on 9 14 15 19; Red on 10 20 24 25; Red to move, Black to win
Initially: Black in 8
24-18 ! Black in 7
19-13 ! Black in 6
18-12 ! Black in 5
15-19 ! Black in 4
12-18 Black in 3
13-8 ! Black in 2
10-4 Black in 1
19-13 ! Black wins
problem: Black on 9 14 15 19; Red on 10 20 24 25; Red to move, Black to win
Initially: Black in 8
10-4 ? Black in 5 (best: 24-18 Black in 7)
15-10 ? Black in 6 (best: 9-8, 19-18 Black in 4)
20-15 ! Black in 5
14-8 ! Black in 4
4-3 Black in 3
10-14 Black in 2
3-4 Black in 1
19-13 ! Black wins
#Problem No. 27, page 155
problem: Black on 8 13 14 18; Red on 3 17 19 23; Black to move and win
Initially: Black in 5
- - O - -
- - @ - -
- - @ @ -
- O @ O -
- - O - -
*18-12! Black in 4
18-12 ! Black in 4
3-7 Black in 3
8-9 ! Black in 2
7-8 Black in 1
9-15 ! Black wins
problem: Black on 8 13 14 18; Red on 3 17 19 23; Black to move and win
Initially: Black in 5
18-12 ! Black in 4
3-7 Black in 3
8-9 ! Black in 2
19-15 Black in 1
12-8 ! Black wins
problem: Black on 8 13 14 18; Red on 3 17 19 23; Black to move and win
Initially: Black in 5
18-12 ! Black in 4
3-9 Black in 3
8-7 ! Black in 2
9-8 Black in 1
7-11 ! Black wins
problem: Black on 8 13 14 18; Red on 3 17 19 23; Black to move and win
Initially: Black in 5
18-12 ! Black in 4
3-9 Black in 3
8-7 ! Black in 2
17-11 Black in 1
14-8 ! Black wins
#Problem No. 28, page 155
problem: Black on 13 14 18 24; Red on 19 20 23 25; Red to move, Black to win
Initially: Black in 12
- - - - -
- - - - -
- - @ @ -
- - @ O O
- - O @ O
*20-15! 24-20! 23-22 14- 8 19-14 20-19! 22-23! 13-17! Black in 4
* 19-23 8- 2 15-14 20-24! Black in 4
* 15- 9 20-24! Black in 4
* 15-19 20-24! Black in 4
* 13- 7 15-14 20-24! Black in 4
* 15-19 20-24! Black in 4
* 18-12 19-24 20-19! 22-18 13- 9! Black in 4
* 24-18 13- 9! Black in 4
* 19-23 20-19! 22-18 13- 9! Black in 4
* 23-18 13- 9! Black in 4
* 25-24 14- 8! 19-14! 20-19! 15-10 13-17! Black in 4
* 15-20 13- 9 Black in 4
* 13-17 Black in 4
* 19-15 Black in 4
* 15- 9 13-17! Black in 4
* 24-25 13-17! Black in 4
* 24-20 13-17! Black in 4
20-15 ! Black in 11
14-8 ? Black in 12 (best: 24-20 Black in 10)
25-20 ! Black in 11
8-7 Black in 10
19-14 ! Black in 9
24-19 Black in 8
23-24 ! Black in 7
7-8 ! Black in 6
24-23 ! Black in 5
13-17 ! Black in 4
23-22 Black in 3
8-12 Black in 2
22-16 Black in 1
19-13 ! Black wins
problem: Black on 13 14 18 24; Red on 19 20 23 25; Red to move, Black to win
Initially: Black in 12
20-15 ! Black in 11
14-8 ? Black in 12 (best: 24-20 Black in 10)
25-20 ! Black in 11
8-7 Black in 10
19-14 ! Black in 9
24-19 Black in 8
23-24 ! Black in 7
7-8 ! Black in 6
24-23 ! Black in 5
13-17 ! Black in 4
23-22 Black in 3
8-12 Black in 2
14-13 Black in 1
12-16 ! Black wins
problem: Black on 13 14 18 24; Red on 19 20 23 25; Red to move, Black to win
Initially: Black in 12
20-15 ! Black in 11
14-8 ? Black in 12 (best: 24-20 Black in 10)
25-20 ! Black in 11
8-7 Black in 10
19-14 ! Black in 9
24-19 Black in 8
14-8 ? Black in 5 (best: 23-24 Black in 7)
18-12 ! Black in 4
8-2 Black in 3
19-14 Black in 2
2-8 Black in 1
7-11 ! Black wins
#Problem No. 29, page 155
problem: Black on 3 8 12 15; Red on 9 13 14 17; Black to move, Red to win
Initially: Red in 8
- - @ - -
- - @ O -
- @ O O @
- O - - -
- - - - -
* 3- 4! 14-18! 12-16! 9-14! Red in 4
3-4 ! Red in 7
14-18 ! Red in 6
12-16 ! Red in 5
9-14 ! Red in 4
15-19 Red in 3
18-12 ! Red in 2
16-11 Red in 1
14-18 ! Red wins
problem: Black on 3 8 12 15; Red on 9 13 14 17; Black to move, Red to win
Initially: Red in 8
3-4 ! Red in 7
14-18 ! Red in 6
12-16 ! Red in 5
9-14 ! Red in 4
15-19 Red in 3
18-12 ! Red in 2
19-18 Red in 1
17-11 ! Red wins
problem: Black on 3 8 12 15; Red on 9 13 14 17; Black to move, Red to win
Initially: Red in 8
3-4 ! Red in 7
14-18 ! Red in 6
12-16 ! Red in 5
9-14 ! Red in 4
16-12 Red in 3
13-19 ! Red in 2
15-20 Red in 1
17-13 ! Red wins
problem: Black on 3 8 12 15; Red on 9 13 14 17; Black to move, Red to win
Initially: Red in 8
3-4 ! Red in 7
14-18 ! Red in 6
12-16 ! Red in 5
9-14 ! Red in 4
16-12 Red in 3
13-19 ! Red in 2
12-13 Red in 1
14-20 ! Red wins
#Problem No. 30, page 155
problem: Black on 16 18 19 24; Red on 8 9 13 17; Black to move and win
Initially: Black in 5
- - - - -
- - O O -
- - O - -
@ O @ @ -
- - - @ -
*16-22! Black in 4
16-22 !! Black in 4
17-23 ! Black in 3
22-17 ! Black in 2
13-14 Black in 1
24-20 ! Black wins
#Problem No. 31, page 156
problem: Black on 12 14 19 20; Red on 7 8 9 13; Red to move and win
Initially: Red in 11
- - - - -
- O O O -
- @ O @ -
- - - @ @
- - - - -
* 7- 6! 12- 7! 6-11 14-10 8-12 10-14 11-16 Red in 4
* 11-17 Red in 4
* 12-17 Red in 4
* 12-16 Red in 4
* 19-14 11-16 Red in 4
* 11-17 Red in 4
* 12-17 Red in 4
* 12-16 Red in 4
* 20-14 11-16 Red in 4
* 11-17 Red in 4
* 12-17 Red in 4
* 12-16 Red in 4
* 11-12 10-14 8- 4 Red in 4
* 12-17 Red in 4
* 19-14 9- 4! Red in 4
* 20-14 9- 4! Red in 4
* 11-17 7- 3 8-12 Red in 4
* 9- 4 Red in 4
* 9-14 Red in 4
* 13- 7 Red in 4
* 17-12 Red in 4
* 19-14 8-12 Red in 4
* 9- 4 Red in 4
* 19-18 8-12! Red in 4
* 20-14 8-12 Red in 4
* 9- 4 Red in 4
* 19-18 11-17! 14-10! 8-12! Red in 4
* 6-12 19-18! 12-17! 14-10! 8-12! Red in 4
7-6 ! Red in 10
12-7 ! Red in 9
6-12 Red in 8
19-18 ! Red in 7
12-17 ! Red in 6
14-10 ! Red in 5
8-12 ! Red in 4
18-22 Red in 3
9-14 ! Red in 2
7-11 Red in 1
14-18 ! Red wins
problem: Black on 12 14 19 20; Red on 7 8 9 13; Red to move and win
Initially: Red in 11
7-6 ! Red in 10
12-7 ! Red in 9
6-12 Red in 8
19-18 ! Red in 7
12-17 ! Red in 6
14-10 ! Red in 5
8-12 ! Red in 4
18-22 Red in 3
9-14 ! Red in 2
22-18 Red in 1
17-11 ! Red wins
#Problem No. 32, page 156
problem: Black on 5 13 19 24; Red on 3 11 12 18; Black to move and win
Initially: Black in 7
- - O - @
- - - - -
O O @ - -
- - O @ -
- - - @ -
* 5- 9! 18-14! 9- 8! Black in 4
5-9 ! Black in 6
18-14 ! Black in 5
9-8 ! Black in 4
12-7 Black in 3
19-18 Black in 2
11-17 Black in 1
24-23 ! Black wins
problem: Black on 5 13 19 24; Red on 3 11 12 18; Black to move and win
Initially: Black in 7
5-9 ! Black in 6
18-14 ! Black in 5
9-8 ! Black in 4
12-18 Black in 3
8-7 ! Black in 2
14-20 Black in 1
24-25 ! Black wins
problem: Black on 5 13 19 24; Red on 3 11 12 18; Black to move and win
Initially: Black in 7
5-9 ! Black in 6
18-14 ! Black in 5
9-8 ! Black in 4
14-20 Black in 3
8-14 Black in 2
3-9 Black in 1
24-18 ! Black wins
problem: Black on 5 13 19 24; Red on 3 11 12 18; Black to move and win
Initially: Black in 7
5-9 ! Black in 6
18-14 ! Black in 5
9-8 ! Black in 4
14-20 Black in 3
8-14 Black in 2
12-18 Black in 1
13-9 ! Black wins
#Problem No. 33, page 156
problem: Black on 3 4 14 20; Red on 7 12 13 18; Black to move and win
Initially: Black in 5
- - @ @ -
- O - - -
- O O @ -
- - O - @
- - - - -
* 3- 9! Black in 4
3-9 ! Black in 4
13-19 Black in 3
20-15 ! Black in 2
7-6 Black in 1
4-10 !! Black wins
#Problem No. 34, page 156
problem: Black on 1 2 12 18; Red on 3 7 8 13; Black to move, Red to win
Initially: Red in 14
@ @ O - -
- O O - -
- @ O - -
- - @ - -
- - - - -
*18-14! 7-11! 14- 9! 11-17! 12-18! 3- 7! 18-12! 17-18! 2- 3 7-11! Red in 4
* 9- 3 13- 9 Red in 4
* 13-17 Red in 4
@ @ O - -
- O O - -
- @ O - -
- - @ - -
- - - - -
*18-14! 7-11! 14- 9! 11-17! 12-18! 3- 7! 18-12! 17-18! 2- 3 7-11! Red in 4
* 9- 3 13- 9 Red in 4
* 13-17 Red in 4
18-14 ! Red in 13
13-9 ? Red in 16 (best: 7-11 Red in 12)
*14-10! 7-13! 10-14! 9-10! 14- 9! 10-14! 12-18! 3- 7! 18-12! 14-18!
*> 2- 3 7-11! Red in 4
*> 9- 3 13- 9 Red in 4
*> 13-17 Red in 4
14-10 ! Red in 15
7-13 ! Red in 14
@ @ O - -
- - O O @
- @ O - -
- - - - -
- - - - -
10-14 ! Red in 13
9-10 ! Red in 12
14-9 ! Red in 11
10-14 ! Red in 10
12-18 ! Red in 9
3-7 ! Red in 8
18-12 ! Red in 7
14-18 ! Red in 6
2-3 Red in 5
7-11 ! Red in 4
12-17 Red in 3
18-12 ! Red in 2
9-14 Red in 1
11-7 ! Red wins
problem: Black on 1 2 12 18; Red on 3 7 8 13; Black to move, Red to win
Initially: Red in 14
18-14 ! Red in 13
13-9 ? Red in 16 (best: 7-11 Red in 12)
14-10 ! Red in 15
7-13 ! Red in 14
12-18 ? Red in 9 (best: 10-14 Red in 13)
3-7 ? Red in 10 (best: 3-4 Red in 8)
18-12 ! Red in 9
9-14 Red in 8
1-6 ?~ Red in 3 (best: 2-3, 10-9 Red in 7)
14-18 ? Red in 6 (best: 7-3 Red in 2)
2-3 ! Red in 5
7-11 Red in 4
12-17 Red in 3
18-12 ! Red in 2
10-14 Red in 1
11-7 ! Red wins
problem: Black on 1 2 12 18; Red on 3 7 8 13; Black to move, Red to win
Initially: Red in 14
18-14 ! Red in 13
13-9 ? Red in 16 (best: 7-11 Red in 12)
14-10 ! Red in 15
7-13 ! Red in 14
12-18 ? Red in 9 (best: 10-14 Red in 13)
3-7 ? Red in 10 (best: 3-4 Red in 8)
18-12 ! Red in 9
9-14 Red in 8
1-6 ?~ Red in 3 (best: 2-3, 10-9 Red in 7)
14-18 ? Red in 6 (best: 7-3 Red in 2)
2-3 ! Red in 5
13-17 Red in 4
10-14 Red in 3
7-13 ! Red in 2
14-19 Red in 1
17-23 ! Red wins
#Problem No. 35, page 156
problem: Black on 8 11 12 19; Red on 9 13 22 24; Red to move and win
Initially: Red in 5
- - - - -
- - @ O -
@ @ O - -
- - - @ -
- O - O -
*24-18! Red in 4
24-18 ! Red in 4
11-17 Red in 3
13-14 ! Red in 2
8-4 Red in 1
9-10 ! Red wins
problem: Black on 8 11 12 19; Red on 9 13 22 24; Red to move and win
Initially: Red in 5
24-18 ! Red in 4
19-14 Red in 3
18-17 ! Red in 2
11-16 Red in 1
22-21 ! Red wins
#Problem No. 36, page 156
problem: Black on 2 12 13 14; Red on 7 8 9 17; Black to move and win
Initially: Black in 7
- @ - - -
- O O O -
- @ @ @ -
- O - - -
- - - - -
* 2- 6! 7-11 12- 7 Black in 4
* 14-19 Black in 4
* 17-11 13-18 Black in 4
* 13-19 Black in 4
* 14-19 Black in 4
* 14-18 Black in 4
* 14-20 Black in 4
2-6 ! Black in 6
17-11 Black in 5
14-19 Black in 4
11-17 Black in 3
13-18 ! Black in 2
17-23 Black in 1
19-24 ! Black wins
problem: Black on 2 12 13 14; Red on 7 8 9 17; Black to move and win
Initially: Black in 7
2-6 ! Black in 6
7-11 Black in 5
12-7 Black in 4
17-18 Black in 3
14-19 ! Black in 2
8-2 Black in 1
6-1 ! Black wins
#Problem No. 37, page 157
problem: Black on 8 13 19 20; Red on 6 7 18 25; Red to move, Black to win
Initially: Draw
- - - - -
O O @ - -
- - @ - -
- - O @ @
- - - - O
* 6-12! 19-24 7- 2 Draw
* 7- 3 Draw
* 12-17 Draw
* 18-14 Draw
* 25-19 Draw
* 20-24 7- 3! Draw
7-3 ?? Black in 9 (best: 6-12 Draw)
20-14 Black in 8
3-9 ! Black in 7
8-12 ! Black in 6
9-15 ! Black in 5
13-9 ! Black in 4
15-10 Black in 3
19-13 Black in 2
10-15 Black in 1
12-8 ! Black wins
#Problem No. 38, page 157
problem: Black on 15 17 18 19; Red on 2 9 12 14; Red to move, Black to win
Initially: Black in 10
- O - - -
- - - O -
- O - O @
- @ @ @ -
- - - - -
*14-20! 19-14! 9-10! 15-19! 12-13! 18-12! Black in 4
14-20 ! Black in 9
19-14 ! Black in 8
9-10 ! Black in 7
15-19 ! Black in 6
12-13 ! Black in 5
18-12 ! Black in 4
2-7 Black in 3
14-18 ! Black in 2
7-11 Black in 1
12-16 ! Black wins
problem: Black on 15 17 18 19; Red on 2 9 12 14; Red to move, Black to win
Initially: Black in 10
14-20 ! Black in 9
19-14 ! Black in 8
9-10 ! Black in 7
15-19 ! Black in 6
12-13 ! Black in 5
18-12 ! Black in 4
13-18 Black in 3
19-13 ! Black in 2
2-6 Black in 1
17-11 ! Black wins
#Problem No. 39, page 157
problem: Black on 4 12 20 21; Red on 8 13 14 19; Black to move, Red to win
Initially: Red in 4
- - - @ -
- - O - -
- @ O O -
- - - O @
@ - - - -
*Red in 4
12-18 Red in 3
8-12 ? Red in 6 (best: 19-15 Red in 2)
20-15 ! Red in 5
14-20 ! Red in 4
4-8 Red in 3
12-7 ! Red in 2
18-24 Red in 1
20-25 ! Red wins
problem: Black on 4 12 20 21; Red on 8 13 14 19; Black to move, Red to win
Initially: Red in 4
12-18 Red in 3
8-12 ? Red in 6 (best: 19-15 Red in 2)
20-15 ! Red in 5
14-20 ! Red in 4
18-24 Red in 3
20-25 Red in 2
4-8 Red in 1
12-7 ! Red wins
#Problem No. 40, page 157
problem: Black on 2 6 10 14; Red on 4 7 9 12; Red to move and win
Initially: Red in 5
- @ - O -
@ O - O @
- O - @ -
- - - - -
- - - - -
* 9- 8! Red in 4
7-13 ? Red in 14 (best: 9-8 Red in 4)
6-11 ! Red in 13
4-8 ! Red in 12
2-7 ! Red in 11
12-18 ! Red in 10
7-3 ! Red in 9
13-19 Red in 8
11-17 ! Red in 7
9-13 ! Red in 6
17-23 ! Red in 5
13-17 ! Red in 4
23-22 Red in 3
19-13 Red in 2
22-23 Red in 1
8-12 ! Red wins
problem: Black on 2 6 10 14; Red on 4 7 9 12; Red to move and win
Initially: Red in 5
7-13 ? Red in 14 (best: 9-8 Red in 4)
6-11 ! Red in 13
4-8 ! Red in 12
2-7 ! Red in 11
12-18 ! Red in 10
7-3 ! Red in 9
9-15 Red in 8
11-17 ! Red in 7
15-19 ! Red in 6
17-23 ! Red in 5
13-17 ! Red in 4
23-22 Red in 3
8-12 Red in 2
22-16 Red in 1
19-13 ! Red wins
#Problem No. 41, page 157
problem: Black on 14 15 17 24; Red on 3 12 13 23; Black to move and win
Initially: Black in 5
- - O - -
- - - - -
- O O @ @
- @ - - -
- - O @ -
*24-18! Black in 4
24-18 ! Black in 4
23-22 Black in 3
14-19 Black in 2
13-14 Black in 1
15-20 ! Black wins
problem: Black on 14 15 17 24; Red on 3 12 13 23; Black to move and win
Initially: Black in 5
24-18 ! Black in 4
13-19 Black in 3
17-22 ! Black in 2
3-9 Black in 1
15-10 ! Black wins
problem: Black on 14 15 17 24; Red on 3 12 13 23; Black to move and win
Initially: Black in 5
24-18 ! Black in 4
3-9 Black in 3
15-19 Black in 2
9-15 Black in 1
14-20 ! Black wins
#Problem No. 42, page 157
problem: Black on 9 12 14 17; Red on 7 11 13 16; Black to move and win
Initially: Black in 11
- - - - -
- O - @ -
O @ O @ -
O @ - - -
- - - - -
*12-18! 16-22! 9-15! 13-19! 18-13! 7-12 14- 9 Black in 4
* 14-10 Black in 4
* 15-10 Black in 4
* 15- 9 Black in 4
* 11-12 14- 9 Black in 4
* 14-10 Black in 4
* 15-10 Black in 4
* 15- 9 Black in 4
12-18 ! Black in 10
16-22 ! Black in 9
9-15 ! Black in 8
13-19 ! Black in 7
18-13 ! Black in 6
11-12 Black in 5
14-9 Black in 4
7-8 Black in 3
15-10 ! Black in 2
8-4 Black in 1
10-5 ! Black wins
#Problem No. 43, page 158
problem: Black on 4 8 13 16; Red on 12 14 19 23; Red to move and win
Initially: Red in 5
- - - @ -
- - @ - -
- O @ O -
@ - - O -
- - O - -
*23-17! Red in 4
23-17 ! Red in 4
4-9 Red in 3
12-18 ! Red in 2
9-15 Red in 1
14-20 ! Red wins
problem: Black on 4 8 13 16; Red on 12 14 19 23; Red to move and win
Initially: Red in 5
23-17 ! Red in 4
13-18 Red in 3
17-13 ! Red in 2
4-10 Red in 1
19-15 ! Red wins
problem: Black on 4 8 13 16; Red on 12 14 19 23; Red to move and win
Initially: Red in 5
23-17 ! Red in 4
13-7 Red in 3
14-13 Red in 2
16-22 Red in 1
19-18 ! Red wins
#Problem No. 44, page 158
problem: Black on 2 9 14 24; Red on 6 12 13 19; Red to move and win
Initially: Draw
- @ - - -
O - - @ -
- O O @ -
- - - O -
- - - @ -
12-7 Draw
2-1 !! Draw
19-18 Draw
1-2 ?? Red in 11 (best: 9-8 Draw)
7-8 ! Red in 10
2-7 ! Red in 9
8-12 ! Red in 8
24-23 ! Red in 7
13-19 ! Red in 6
23-24 ! Red in 5
6-11 ! Red in 4
24-23 Red in 3
12-17 Red in 2
23-22 Red in 1
11-16 ! Red wins
#Problem No. 45, page 158
problem: Black on 2 7 13 19; Red on 6 9 21 23; Red to move, Black to win
Initially: Black in 8
- @ - - -
O @ - O -
- - @ - -
- - - @ -
O - O - -
* 6- 1! 2- 8 23-18! 8-14! Black in 4
* 7- 8 23-24! 19-18! Black in 4
6-1 ! Black in 7
7-8 Black in 6
23-24 ! Black in 5
19-18 ! Black in 4
9-3 ! Black in 3
2-7 ! Black in 2
21-17 Black in 1
18-12 ! Black wins
#Problem No. 46, page 158
problem: Black on 2 11 12 19; Red on 9 13 18 20; Red to move and win
Initially: Red in 13
- @ - - -
- - - O -
@ @ O - -
- - O @ O
- - - - -
*18-17 2- 3 20-14! 3- 4! 14-18! 11-16! 9- 8! 19-23! 13-19! Red in 4
* 2- 8 20-14! 8- 4! 14-18! 11-16! 9- 8! 19-23! 13-19! Red in 4
*20-14 2- 8! 18-17! 8- 4! 14-18! 11-16! 9- 8! 19-23! 13-19! Red in 4
20-14 Red in 12
2-3 ? Red in 5 (best: 2-8 Red in 11)
18-17 ? Red in 10 (best: 13-17 Red in 4)
3-4 ! Red in 9
14-18 ! Red in 8
11-16 ! Red in 7
9-8 ! Red in 6
19-23 ! Red in 5
13-19 ! Red in 4
23-24 Red in 3
8-14 Red in 2
24-20 Red in 1
17-13 ! Red wins
problem: Black on 2 11 12 19; Red on 9 13 18 20; Red to move and win
Initially: Red in 13
20-14 Red in 12
2-3 ? Red in 5 (best: 2-8 Red in 11)
18-17 ? Red in 10 (best: 13-17 Red in 4)
3-4 ! Red in 9
14-18 ! Red in 8
11-16 ! Red in 7
9-8 ! Red in 6
19-23 ! Red in 5
13-19 ! Red in 4
23-24 Red in 3
8-14 Red in 2
12-13 Red in 1
19-20 ?= Draw (best: 14-20 Red wins)
#Problem No. 47, page 158
problem: Black on 8 9 15 17; Red on 7 14 18 24; Red to move and win
Initially: Red in 5
- - - - -
- O @ @ -
- - - O @
- @ O - -
- - - O -
*14-13! Red in 4
14-13 ! Red in 4
15-19 Red in 3
13-12 ! Red in 2
17-11 Red in 1
7-6 ! Red wins
problem: Black on 8 9 15 17; Red on 7 14 18 24; Red to move and win
Initially: Red in 5
14-13 ! Red in 4
17-12 Red in 3
18-19 ! Red in 2
15-20 Red in 1
24-25 ! Red wins
#Problem No. 48, page 158
problem: Black on 9 10 15 18; Red on 7 17 19 22; Red to move, Black to win
Initially: Black in 6
- - - - -
- O - @ @
- - - - @
- O @ O -
- O - - -
*19-14! 18-19! Black in 4
19-14 ! Black in 5
18-19 ! Black in 4
7-12 Black in 3
19-20 ! Black in 2
22-18 Black in 1
9-5 !! Black wins
#Problem No. 49, page 159
problem: Black on 6 7 13 18; Red on 2 9 14 16; Black to move and win
Initially: Black in 5
- O - - -
@ @ - O -
- - @ O -
O - @ - -
- - - - -
* 6-12 Black in 4
* 7-12 Black in 4
6-12 Black in 4
9-8 Black in 3
13-17 ! Black in 2
16-22 Black in 1
7-13 ! Black wins
problem: Black on 6 7 13 18; Red on 2 9 14 16; Black to move and win
Initially: Black in 5
6-12 Black in 4
9-8 Black in 3
13-17 ! Black in 2
14-13 Black in 1
18-22 ! Black wins
problem: Black on 6 7 13 18; Red on 2 9 14 16; Black to move and win
Initially: Black in 5
6-12 Black in 4
16-17 Black in 3
12-8 ! Black in 2
2-3 Black in 1
18-12 ! Black wins
problem: Black on 6 7 13 18; Red on 2 9 14 16; Black to move and win
Initially: Black in 5
6-12 Black in 4
16-17 Black in 3
12-8 ! Black in 2
17-12 Black in 1
7-3 ! Black wins
#Problem No. 50, page 159
problem: Black on 1 2 11 12; Red on 3 7 8 13; Red to move and win
Initially: Red in 7
@ @ O - -
- O O - -
@ @ O - -
- - - - -
- - - - -
*13-18! 12-13! 3- 9 Red in 4
* 18-14 Red in 4
13-18 ! Red in 6
12-13 ! Red in 5
3-9 Red in 4
13-14 Red in 3
9-13 Red in 2
11-12 Red in 1
7-3 ! Red wins
problem: Black on 1 2 11 12; Red on 3 7 8 13; Red to move and win
Initially: Red in 7
13-18 ! Red in 6
12-13 ! Red in 5
3-9 Red in 4
13-14 Red in 3
9-13 Red in 2
2-3 Red in 1
18-12 ! Red wins
problem: Black on 1 2 11 12; Red on 3 7 8 13; Red to move and win
Initially: Red in 7
13-18 ! Red in 6
12-13 ! Red in 5
18-14 Red in 4
13-9 Red in 3
7-13 ! Red in 2
11-17 Red in 1
14-18 ! Red wins
#Play-off Game No. 1, page 193
game
12 Draw
13 Draw
7 Draw
17 Draw
11 Draw
6 !! Draw
8 Draw
16 Draw
8-14 Draw
6-2 Draw
14-8 Draw
16-21 Draw
11-16 Draw
2-3 !! Draw
8-9 !! Draw
3-8 Draw
16-22 Draw
17-18 Draw
12-17 Draw
21-16 Draw
17-12 Draw
16-11 Draw
9-3 ?? Red in 7 (best: 7-3, 9-14, 22-17, 22-23 Draw)
11-17 ! Red in 6
22-23 ! Red in 5
13-19 ! Red in 4
23-24 Red in 3
17-13 Red in 2
24-23 Red in 1
8-14 ! Red wins
#Play-off Game No. 2, page 194
game 11111111
P 3 Draw (best for Black: 8, 12, 14, 18 Black in 20)
P 21 Draw
13 ! Black in 12 (best for Red: 1, 5, 11, 16, 22, 25 Draw)
P 1 ? Black in 15 (best for Red: 7, 8, 9, 12, 14, 18, 19 Draw; best for Black: 5, 16, 25 Black in 11)
P 16 ? Black in 10 (best for Black: 8, 18 Black in 6; best for Red: 25 Black in 14)
P 5 ? Black in 13 (best for Red: 8, 9, 12, 14, 18, 19 Draw; best for Black: 25 Black in 9)
P 25 ! Black in 12 (best for Black: 4, 7, 8, 12, 18 Black in 4)
P 10 ? Black in 15 (best for Red: 8, 12, 14, 17, 18, 19, 22, 23, 24 Draw; best for Black: 2, 4, 6, 11 Black in 11)
16-17 ?= Draw (best: 16-12, 25-19 Black in 14)
10-14 ?? Black in 13 (best: 1-7 Draw)
25-19 ?= Draw (best: 3-7 Black in 12)
1-7 !! Draw
19-18 Draw
14-8 !! Draw
3-9 Draw
7-12 !! Draw
18-19 Draw
21-16 Draw
9-4 !! Draw
5-9 Draw
17-18 Draw
16-11 Draw
4-10 Draw
8-14 Draw
10-15 Draw
11-17 Draw
15-20 Draw
9-4 Draw
20-15 Draw
17-16 Draw
13-8 !! Draw
14-13 ?? Black in 5 (best: 4-9, 4-3, 12-7, 12-17, 12-13, 16-11, 16-21, 16-17, 16-22 Draw)
15-9 ! Black in 4
13-7 Black in 3
18-13 Black in 2
4-10 Black in 1
19-14 ! Black wins
#Play-off Game No. 3, page 195
game 11000000
P 1 Draw (best for Black: 7, 8, 9, 12, 13, 14, 17, 18, 19 Black in 12)
P 21 Draw
7 Draw
13 Draw
8 Draw
9 Draw
17 !! Draw
12 Draw
8-14 Draw
9-8 Draw
1-6 Draw
21-16 Draw
7-3 Draw
16-11 Draw
6-7 Draw
12-18 Draw
3-9 Draw
11-16 Draw
7-12 Draw
16-22 Draw
17-23 !! Draw
22-17 Draw
14-20 Draw
17-11 Draw
20-15 ?? Red in 11 (best: 9-3, 20-19, 20-14, 23-19 Draw)
11-7 ! Red in 10
9-3 ! Red in 9
18-19 ! Red in 8
3-2 ! Red in 7
8-14 ! Red in 6
23-24 Red in 5
7-8 ! Red in 4
15-9 Red in 3
14-18 ! Red in 2
24-23 Red in 1
8-14 ! Red wins
#Play-off Game No. 4, page 196
game 11110000
P 2 Draw (best for Black: 13 Black in 12)
P 25 Draw
P 23 ?? Black in 22 (best for Black: 3, 4 Black in 4; best for Red: 5, 10, 15, 16, 21, 22, 24 Draw)
P 1 ?= Draw (best for Black: 5 Black in 21)
7 Draw
12 Draw
18 Draw
13 Draw
23-19 Draw
25-20 Draw
18-14 Draw
12-8 Draw
7-12 Draw
1-6 Draw
2-7 Draw
6-11 Draw
19-24 Draw
11-6 Draw
14-18 Draw
13-9 Draw
24-23 Draw
6-2 Draw
18-14 !! Draw
9-13 ?? Black in 5 (best: 8-13 Draw)
23-17 ! Black in 4
13-9 Black in 3
7-13 Black in 2
20-19 Black in 1
14-18 Black wins
#Play-off Game No. 5, page 197
game 11111100
P 1 Draw (best for Black: 8, 12, 13, 14, 18 Black in 20)
P 5 Draw
P 21 Draw (best for Black: 13 Black in 10)
P 25 Draw
P 15 Draw (best for Black: 6, 7, 11, 12, 16, 17 Black in 8)
P 11 Draw
7 Draw
13 Draw
21-17 Draw
11-12 Draw
15-14 Draw
25-19 Draw
7-8 Draw
19-18 Draw
17-23 Draw
18-19 Draw
23-24 Draw
19-20 Draw
24-19 Draw
5-4 Draw
1-7 Draw
4-3 Draw
14-9 Draw
20-14 Draw
8-4 Draw
3-2 Draw
19-18 Draw
12-8 Draw
18-19 Draw
14-18 Draw
9-3 Draw
2-6 Draw
7-12 !! Draw
6-11 Draw
3-7 ?? Red in 7 (best: 3-9, 4-9, 19-23 Draw)
11-17 ! Red in 6
19-23 ! Red in 5
13-19 ! Red in 4
23-24 Red in 3
17-13 Red in 2
24-23 Red in 1
8-14 ! Red wins
#Play-off Game No. 6, page 198
game 00111111
13 Draw
14 Draw
P 15 Draw (best for Black: 7, 8, 9, 12, 17, 18, 19 Black in 16)
P 12 Draw
P 11 Draw (best for Black: 9, 10, 19, 20 Black in 12)
P 21 Draw
P 19 ?? Black in 8 (best for Black: 6, 7 Black in 6; best for Red: 16, 17, 22 Draw)
P 20 ?= Draw (best for Black: 1, 6, 16, 17, 22 Black in 7)
11-7 Draw
12-8 Draw
15-9 Draw
21-16 ?? Black in 7 (best: 14-18, 20-24, 21-22, 21-17 Draw)
9-3 ! Black in 6
8-2 ! Black in 5
7-8 ! Black in 4
14-18 ! Black in 3
19-14 ! Black in 2
20-15 Black in 1
3-9 ! Black wins
#Play-off Game No. 7, page 199
game 00001111
13 Draw
12 Draw
18 Draw
8 Draw
P 11 ?? Black in 16 (best for Black: 19, 24 Black in 8; best for Red: 1, 2, 3, 4, 5, 6, 10, 16, 21 Draw)
P 25 ?= Draw (best for Black: 3 Black in 15)
P 3 ?? Black in 10 (best for Black: 9, 10, 17, 19, 24 Black in 8; best for Red: 1, 2, 21, 22 Draw)
P 20 ?= Draw (best for Black: 1, 2, 7 Black in 9)
3-9 Draw
20-14 !! Draw
11-17 Draw
12-16 !! Draw
18-22 Draw
16-21 !! Draw
9-3 Draw
8-12 Draw
22-18 Draw
12-8 ?? Black in 5 (best: 14-8, 21-22, 25-24, 25-19 Draw)
3-7 ! Black in 4
8-12 ! Black in 3
7-8 ! Black in 2
25-24 Black in 1
17-23 ! Black wins
#Play-off Game No. 8, page 200
game 00000011
13 Draw
12 Draw
8 Draw
18 Draw
7 Draw
17 Draw
P 22 ?? Black in 10 (best for Black: 6, 10 Black in 2; best for Red: 16, 21 Draw)
P 3 ?= Draw (best for Black: 5 Black in 9)
22-23 Draw
18-19 Draw
23-18 Draw
17-11 Draw
13-9 Draw
19-14 !! Draw
7-13 Draw
12-17 Draw
9-15 Draw
17-22 ?? Black in 11 (best: 3-2, 3-7, 11-12, 11-7, 17-23 Draw)
8-7 Black in 10
22-23 ! Black in 9
15-19 ! Black in 8
23-24 ! Black in 7
18-12 ! Black in 6
11-6 Black in 5
19-18 ! Black in 4
3-8 Black in 3
13-17 Black in 2
14-13 Black in 1
17-22 ?= Draw (best: 18-22 Black wins)
end
Thu Nov 12 15:56:12 1998
Done.