Don't know, but Zugzwang is definitely a negative term.
Chess Game Logic Puzzle
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Answer edited...
Since the winner won 7 games and lost 6, there were 13 games. Since Yeti had the white pieces in the last game, he had them on the odd numbered games. Therefore, Yeti had the White pieces 7 times and Zugswang had them 6 times. Thus, the times Yeti won as white and Zugswang won as black must sum to 7, and the times Zugswang won as white and Yeti won as black must sum to six. We know that the black pieces won 5 times and that the white pieces therefore won 8 times. Now we will set up a set of equations. Yw is the number of times Yeti wins as white, Zb is the number of time Zugzwang wins as black, and so on.
1) Yw + Zw = 8
2) Yb + Zb = 5
3) Yw + Zb = 7
4) Zw + Yb = 6
Now, subtracting 3) from 1) gives Zw = 1 + Zb. Subtracting 2) from 3) gives Yw = Yb+2. From these two equations, we see that the total number of Zugswang's wins is odd, and the total number of Yeti's wins is even. This is possible only if Zugzwang won seven and Yeit won six. Thus, Zugswang wins.
Nice puzzle! Thx!
Dec 4, 2009
0
#4
Math_magician wrote
If Yeti won 2 games as white and 5 as black, with Zugswang winning 6 as white and none as black, all conditions are satisfied.
not quite remember if yeti wins 2 as white and 5 as black then Zugswang must lose 2 as black and 5 with white thus winning 5 with black and 1 with white...which is not possible since the black pieces wins only 5 times not 10
Drknownothing wrote:
Math_magician wrote
If Yeti won 2 games as white and 5 as black, with Zugswang winning 6 as white and none as black, all conditions are satisfied.
not quite remember if yeti wins 2 as white and 5 as black then Zugswang must lose 2 as black and 5 with white thus winning 5 with black and 1 with white...which is not possible since the black pieces wins only 5 times not 10
UR right, I have revised my calculations...
The World Champion Chess Match of 1921 was held at a resort in the US Virgin Islands and pitted against each other those two masters, Yeti and Zugswang.
The winner won seven games and lost six. They took turns playing white, with Yeti having white in the final game which decided the match. The black pieces won five times.
Who won the match?
-by Martin Hollis