Beginners Endgame Exercise 1 / Miai Value

[Diagram]

Black first

B1 is gote: W2 is sente and White can play it any time

Let's fix the count at 4 here

[Diagram]

White first - Black's basic answer

W1 is sente as it can revive he 4 stones After B2, White can play sente again with W3

[Diagram]

White gote

Then W5-B6-W7 is gote and the count is 0

[Diagram]

Black sente

B6 turning here is sente because next it would make more in the follow up than it makes here.

[Diagram]

Black's follow up

If B8 is allowed to capture here, then after W9 and B10 at W1, Black makes another 4 points. If White omits W9, then Black can destroy at least another 2 points.



Hence this is the eventual count of White going first: 1

[Diagram]

White first - Black's tesuji

After this exchange the count is fixed: a, b and c are all dame and the count is 1.

[Diagram]

White first - Charles' move

Since Black can next answer a with b, this variation too leads to a count of 1



Hence the value tree looks like this

               1 (3)
              /   \
             4 (1) 1
            / \
           5   4

and White is a 3 point sente move, Black being a 3 point reverse sente


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