The Checker Maven

Three Wrongs, One Right

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Two wrongs don't make a right, we're told, and if so, surely three wrongs don't, either. A third wrong will only lead to even more trouble--- or in the case of our game of checkers, a loss--- and that leads us to this week's four-fold problem.

We'll look at a published game from years back, in which three wrongs weren't counterbalanced by a right (until today, at least).


1. 11-15 22-18
2. 15x22 25x18
3. 12-16 29-25
4. 10-14 24-19
5. 8-12 26-22
6. 4-8 18-15
7. 16-20
BLACK
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WHITE
White to Play and Draw

W:W15,19,21,22,23,25,27,28,30,31,32:B1,2,3,5,6,7,8,9,12,14,20.

At this juncture, White played 23-18, and annotator Gary Garwood called it a weak move. He suggested instead 31-26 or 22-18. But these moves are just as bad. All three of them lose. Three wrongs, no right. But in fact there is a right move and White can obtain a draw here.

Can you find the correct move to draw for White, and then (for extra credit, if you will) show the Black wins for all three incorrect moves? It's a tall assignment, but one that will give you quite a bit of checker insight.

When you're right (and you know it, as the saying goes) do the right thing by clicking your mouse on Read More to see the solutions.null



Solution

First we'll look at the move actually played, 23-18:


7. ... 23-18
8. 14x23 27x18
9. 7-10 32-27
10. 3-7 28-24
11. 9-13 21-17
12. 5-9 31-26
13. 7-1

White hasn't got much left to play; 25-21 allows a 2 for 1 with 9-14.


13. ... 26-23
14. 1-5 25-21

Stopping one 2 for 1 simply allows another.


15. 9-14 18x9
16. 11x25 17-14
17. 10x17 21x14
18. 8-11 30x21
19. 11-16 19-15
20. 16-19 23x16
21. 12x28

Black Wins.

How about 31-26?


7. ... 31-26
8. 7-10 22-18
9. 9-13 18x9
10. 5x14 26-22
11. 1-5 23-18
12. 14x23 27x18
13. 5-9 30-26
14. 10-14 26-23
15. 2-7 32-27
16. 7-10

White has no safe moves and must lose a man, e.g. 28-24 17. 12-16 19x12 18. 10x26 Black wins.

Maybe 22-18?


7. ... 22-18
8. 7-10 25-22
9. 12-16 19x12
10. 10x26 30x23
11. 8-11 27-24
12. 20x27 31x24
13. 9-13 18x9
14. 5x14 24-20
15. 11-15

White's position looks anemic.


15. ... 32-27
16. 6-10

White now has nothing good.


16. ... 27-24
17. 2-7 24-19
18. 15x24 28x19
19. 14-17 21x14
20. 10x26

Black wins.

The way to a draw goes like this:


7. ... 28-24!
8. 9-13 15-10
9. 6x15 19x10
10. 8-11 24-19
11. 11-15

Careful; 2-6 would lose to 19-15.


11. ... 32-28
12. 15x24 28x19
13. 5-9 19-15
14. 2-6 27-24
15. 20x27 31x24
16. 12-16 15-11
17. 6x15 11x2
18. 16-20 23-19
19. 20x27 19x10
20. 27-31 2-7
21. 31-27 7-11
22. 27-23 11-16

Etc. It's a draw with careful play on both sides.

How did you do on this one? We wouldn't call it easy, and we don't think we're wrong!

10/20/18 - Category: Games - Printer friendly version
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