IV
GENERAL PRINCIPLES AND ILLUSTRATIVE GAMES
It is possible to apply general strategic principles to the game of Checkers, just as well as the game of Chess, even though there is not the scope in Checkers for strategic maneuvers on the grand scale on which they can be carried out in Chess.
Again it is naturally the principle of greatest mobility which should govern the plan of mobilization in any opening, and it is consequently more desirable to have the men work in the center of the board, than on the edge, where part of their range is cut off.
The advantage of center squares over side squares is not so marked in Checkers as it is in Chess. There is no doubt that a piece has more mobility in the center, where there are two or four moves to choose from, than on the side where only one or two moves are possible; but a man on the side has an advantage in so far as he is backed up by the edge of the board so that he is safe from being captured until he moves. However, a player who keeps his men in massed formation in the center will in almost all cases be able to make them protect each other and to win the upper hand against an opponent whose army is divided into two parts, one on the left and the other on the right side of the board.
When playing with the white men, it is advisable to occupy such squares as 14, 18, 19, 30, 31 and 32, and it is not advisable to occupy 5 and 12 whenever the opponent has a man on 1 or 3 respectively, as in that case the men have a tendency to act as supports for the enemy instead of helping their own side. In the position: Black 1, 7 and 9; White 5, 14, 18 and 22; for instance, White's man on 5 supports Black's man on 9 and White, on the move, has to surrender a piece by 22-17, to which Black replies 9-13.
It is naturally a good thing not to touch the men of the back row mentioned above, as they will prevent the opponent from getting Kings. White's man 29 and Black's man 4, however, are better off in the middle of the board, as the squares 25 and 8 are adequately guarded by 30 and 3 respectively. Moreover, there is danger of the first position arising from openings in which a player keeps his man in the single corner.
A formation which very often occurs in the middle game is the so- called "elbow." It consists of three men arranged like the white pieces in Diagram 108.
32 31 30
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| | | | | | | | | 29
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28 | | | o | | | | | |
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| | | | o | | | | | 21
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20 | * | | o | | | | | |
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| | * | | | | | | | 13
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12 | * | | | | | | | |
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| | | | | | | | | 5
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4 | | | | | | | | |
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3 2 1
DIAGRAM 108.
When adequately supported an elbow forms a solid position which cannot easily be attacked. An example of a strong elbow will be found in the following game:
32 31 30
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| | o | | | | o | | | 29
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28 | | | | | o | | | |
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| | | | | | | | o | 21
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20 | | | o | | | | o | |
|———————————————————-|
| | | | | | * | | o | 13
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12 | * | | * | | * | | | |
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| | | | * | | * | | | 5
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4 | | | | | * | | | |
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3 2 1
DIAGRAM 109.
Black White
(1) 10-15 23-19
(2) 6-10 22-17
(3) 1-6 25-22
(4) 11-16 17-13
(5) 16-23 26-19
(6) 7-11 29-25
(7) 11-16 22-17
(8) 16-23 27-11
(9) 8-15 24-19
(10) 15-24 28-19
(11) 4-8 25-22
(12) 8-11 31-26
(13) 3-7 22-18
(14) 9-14 18-9
(15) 5-14
The men on 6, 10, 13, 14, 17 and 21 form the elbow, the strength of which becomes apparent on the 19th move.
(15) … 26-23 (16) 11-15 32-28 (17) 15-24 28-19 (18) 7-11 30-26 (19) 2-7 19-16 (20) 12-19 23-16 (21) 11-20 26-23 (22) 7-11 and wins.
The danger involved in an elbow, which is not sufficiently backed up, is shown in the following game.
Black White
(1) 10-15 23-19
(2) 7-10 22-17
(3) 3-7 25-22
(4) 9-14 29-25
(5) 5-9 17-13
(6) 1-5 22-17
(7) 11-16 26-22
(8) 16-23 27-11
(9) 7-l6 31-26
(10) 8-11 24-19
(11) 16-23 26-19
(12) 11-15 30-26
and White wins through the threat to get two for one by 19-15 after the exchange. Black cannot help the loss of a man.
The reader, who has thoroughly acquainted himself with the fundamental endings, will have no difficulty in playing a good game of checkers, if he follows at every move the general principles discussed in this chapter. When playing over the countless variations, which are offered in the majority of checker books, he would find that they are merely illustrations of the application of those principles to the various openings.
Following are two examples from master play, the careful study of which will do more good to the student than the perusal of a great number of games that lack adequate annotation.
Black White
(1) 9-14
The best opening move is probably 11-15, as this enables a speedy development of the man on 4, who, as previously explained, should not be kept in the back row. The variations resulting from 11-15 have been so thoroughly analyzed that it is practically impossible to defeat a player who chooses this opening and knows the possible variations by heart. It has, therefore, been found necessary to restrict the players in matches and tournaments by balloting the first move of Black and White, in order to avoid too many draws. This is a serious drawback, as it curtails the freedom of decision, to which a player should be entitled in any game.
(1) … 22-17 (2) 11-15
It is hard to tell whether this move of 11-16 or 5-9 is the best. 6-9 and 10-15 are considered weak.
(2) … 25-22
More aggressive than 23-19, which can safely be played.
(3) 15-19
8-11 or 17-13 or 23-19 are also good moves.
Black White
(3) … 24-15
(4) 10-19 23-16
(5) 12-19 17-1O
(6) 6-15 21-17
(7) 5-9 29-25
(8) 8-12 25-21
(9) 7-10 17-13
(10) 1-6
32 31 30
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| | o | | o | | o | | | 29
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28 | o | | o | | o | | | |
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| | | | | | o | | o | 21
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20 | | | * | | | | | |
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| | | | * | | | | o | 13
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12 | * | | | | * | | * | |
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| | | | | | | | | 5
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4 | * | | * | | * | | * | |
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3 2 1
DIAGRAM 110.
At first sight, it might seem unwise to break up the King row, when 9-14 could be played; but the advantage of holding the man on 13, instead of allowing him to complicate matters by 13-9, more than counterbalances the disadvantage of moving a back man. Black could also play (10) 2-6, but this admits of the following strong attack: (10) 2-6, 27-23; (11) 4-8, 23-16; (12) 12-19, 32- 27; (13) 9-14, 27-24; (14) 3-7 (8-12 would lose), 22-17; (15) 14- 18 (again 8-12 would lose), 17-14; (16) 10-17, 21-14; (17) 1-5, 31-27; (18) 6-10, 24-20; (19) 10-17, 26-22; (20) 18-25, 30-14; (21) 7-11 (Probably the only move to draw—8-12 would lose on account of 20-16).
Black White
(10) … 27-24 (11) 4-8 32-27
22-18 could also be played.
(12) 9-14 27-23
or 22-17 or 24-20.
(13) 3-7 23-16 (14) 12-19 22-17 (15) 7-11 26-23
31-27 would lose through (16) 8-12, 26-22; (17) 11-16, 24-20; (18) 19-24, 20-11; (19) 24-31, 11-8; (20) 14-18.
32 31 30
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| | | | o | | o | | | 29
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28 | o | | | | | | | |
|———————————————————-|
| | o | | o | | | | o | 21
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20 | | | * | | | | o | |
|———————————————————-|
| | | | * | | * | | o | 13
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12 | | | * | | * | | | |
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| | * | | | | * | | | 5
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4 | | | | | * | | | |
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3 2 1
DIAGRAM 111.
(16) 19-26 30-23 (17) 8-12 24-20 (18) 15-18 23-19
20-16 cannot be played on account of (19) 20-27, 16-7; (20) 2-11, 31-24; (21) 12-16.
(19) 11-15 20-16
White can, of course, draw here by 31-26; but 20-16 also draws in spite of Black's seemingly invincible elbow.
Black White
(20) 15-24 28-19 (21) 2-7 31-26 (22) 18-23
If 18-22, White draws by 19-15; (23) 12-19, 13-9.
(22) … 26-22
32 31 30
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| | | | | | | | | 29
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28 | | | | | | | | |
|———————————————————-|
| | | | * | | o | | o | 21
|———————————————————-|
20 | | | o | | | | o | |
|———————————————————-|
| | o | | | | * | | o | 13
|———————————————————-|
12 | * | | | | * | | | |
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| | | | * | | * | | | 5
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4 | | | | | | | | |
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3 2 1
DIAGRAM 112.
Playing for a brilliant finish. He could also draw by 16-11; (23) 7-16, 26-22; (24) 14-18, 22-15; (25) 23-26, 17-14.
Black White
(23) 23-27 16-11 (24) 7-23 22-18
Drawing, although two men down.
The following game illustrates first position:
Black White
(1) 11-15 22-18
This move is not considered as strong as 23-19.
(2) 15-22 25-18 (3) 8-11
12-16 can also be played.
(3) … 29-25 (4) 4-8 25-22
24-20 is another good move.
(5) 12-16
If 10-15, White obtains a strong game by 23-19.
(5) … 24-20
Considered best. 24-19 or 22-17 are also playable.
(6) 8-12
He could lay a trap by (6) 10-15. If White replies 27-24 or 28- 24, Black wins by (7) 15-19. 24-15; (8) 16-19, 23-16; (9) 9-14.
Black White
(6) … 27-24 (7) 10-14 24-19
32 31 30
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| | | | o | | o | | | 29
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28 | o | | | | o | | | |
|———————————————————-|
| | o | | o | | | | o | 21
|———————————————————-|
20 | o | | o | | o | | | |
|———————————————————-|
| | * | | | | * | | * | 13
|———————————————————-|
12 | * | | * | | * | | | |
|———————————————————-|
| | | | * | | * | | | 5
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4 | | | | | * | | * | |
+———————————————————-+
3 2 1
DIAGRAM 113.
In answer to 31-27, Black would win by (8) 7-10, 24-19; (9) 9-13, 18-9; (10) 5-14, 28-24; (11) 13-17, 22-13; (12) 3-7 or (10) …, 27-24; (11) 1-5, 22-18; (12) 3-7.
(8) 7-10 28-24
32-27 or 19-15 are considered stronger.
(9) 3-7 32-28
This loses. The only drawing move is 30-25.
Black White
(10) 9-13 18-9 (11) 5-14 22-18
32 31 30
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| | | | o | | o | | | 29
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28 | o | | | | | | | |
|———————————————————-|
| | o | | o | | o | | | 21
|———————————————————-|
20 | o | | o | | | | * | |
|———————————————————-|
| | * | | | | | | * | 13
|———————————————————-|
12 | * | | * | | | | | |
|———————————————————-|
| | | | * | | | | | 5
|———————————————————-|
4 | | | | | * | | * | |
+———————————————————-+
3 2 1
DIAGRAM 114.
Four variations are possible here. If 31-27 or 30-25, Black wins by (12) 13-17, 22-13; (13) 14-18, etc. (11) …, 22-17 loses on account of (12) 13-22, 26-17; (13) 14-18. The sacrifice (11) …, 21-17; (12) 14-21, 22-18 is met by (13) 10-14, 18-9; (14) 1-5, 26-22; (15) 5-14, 31-26; (16) 13-17.
Black White
(12) 13-17 18-9 (13) 6-13 21-14 (14) 10-17 26-22
In answer to 30-25 Black wins by (15) 7-10, 25-22; (16) 2-6; but with 31-27 White can offer prolonged resistance, thus:
32 31 30
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| | o | | o | | o | | | 29
|———————————————————-|
28 | o | | | | o | | | |
|———————————————————-|
| | | | o | | o | | o | 21
|———————————————————-|
20 | o | | o | | o | | | |
|———————————————————-|
| | * | | | | * | | | 13
|———————————————————-|
12 | * | | * | | | | * | |
|———————————————————-|
| | | | * | | * | | * | 5
|———————————————————-|
4 | | | * | | * | | * | |
+———————————————————-+
3 2 1
DIAGRAM 115.
(14) …, 31-27; (15) 17-22, 26-17; (16) 13-22, 19-15; (17) 11- 18, 23-14; (18) 1-6, 20-11; (19) 7-16, 27-23; (20) 16-19, 23-16; (21) 12-19, 24-15; (22) 6-10, 15-6; (23) 2-18, 28-24; (24) 18-23, 24-19; (25) 23-27, 19-15; (26) 27-32. 15-10; (27) 32-27, 10-6; (28) 27-23, 6-1; (29) 22-26, 1-6; (30) 26-31, 6-9; (31) 30-26, 9- 13; (32) 26-22, 13-9; (33) 23-18. Black has now received first position and wins.
Black White
(15) 17-26 31-22 (16) 7-10 30-25 (17) 2-6 25-21 (18) 6-9 22-18 (19) 1-5 18-15
White must give up a piece to get through, and Black can then exchange at his leisure and win without difficulty.
(20) 11-27, etc.