BeginnersEndgameExercise6/Solution

[Diagram]

Black first

B1 captures the White stones and makes territory. Later, B3 - W4 is sente. (Remember that playing out sente plays gains nothing, on average.)

In the region between W4 and [circled point] (inclusive), Black has 14 points in territory and dead stones. In addition, Black has captured 1 White stone. White gets 1/3 point for B3 in the ko. So the local count is 14 2/3.



[Diagram]

White first

W1 is tesuji. If now B3, W2 captures the Black dumpling.

After W3 Black cannot respond at a because of damezumari.

To find the local count, let's look at the followers of this diagram.

[Diagram]

Black follower

After B1 the rest is dame and protective plays.

In between the [circled point] points (inclusive), White has 1 point of territory, while Black has captured 1 White stone. So the local score is 0.



[Diagram]

White follower

W1 threatens W2, but Black throws in there, forcing White to protect through W7.

By comparison with the previous diagram, White has gained 1 point for taking B2. So the local count is -1 (one point for White).

Each play is gote, so the local count for the White first diagram is the average of 0 and -1, or -1/2.

The original plays are also gote, so the local count of the original position is the average of 14 2/3 and -1/2, or 7 1/12.

The miai value of a play is then the difference between 7 1/12 and -1/2, or 7 7/12. (That's also the difference between 14 2/3 and 7 1/12).


This is a copy of the living page "BeginnersEndgameExercise6/Solution" at Sensei's Library.
(OC) 2007 the Authors, published under the OpenContent License V1.0.
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