One More Number

Path: <= CGT path =>
  Difficulty: Advanced   Keywords: EndGame, Theory

This position chills to +1 3/8.

[Diagram]

One more number


White can play to a position worth +1/2 (chilling to +1 1/2).

[Diagram]

White plays first

White's followup is white+circle.

If Black plays next here, then black plays

Black b ​ , ​ White w ​ , ​ black+circle ​ ​ .


Black can play to a position worth +2 1/4 (chilling to +1 1/4).

[Diagram]

Black plays first


To evaluate the black follower, let's look at its black and white followers.

[Diagram]

Black plays twice

B3 reverses to a position worth +3 (chilling to +1).


[Diagram]

White responds

W4 reverses to a position worth +1 1/2. (The chilled value is the same, since each player has made the same number of plays.)


The black follower, chilled, is

``{ 1 | 1 1/2} = 1 1/4``

So the original position, chilled, is

``{ 1 1/4 | 1 1/2} = 1 3/8``

--BillSpight


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