In the previous post, I mentioned that this problem is a case of ko with infinite ko threats starting at A.
However, it seems that I was wrong and I missed a very simple variation.
The creator of this problem must have also missed the variation.
The variation is correct up till here.
At this position, I mentioned that white can only throw in at A, allowing black to take back the ko and essentially having infinite ko threats by playing at A1 repeatedly.
However, white playing at A is not the only move here.
Instead, white can throw in here.
Whenever black takes the ko at A, white will find a ko threat and take back, so lets assume white wins the ko.
Black can only take the stone here at 1 locally.
White plays from outside at 2.
Notice that black can’t play at A now because allowing white to take the two stones is not helping black. It will just go back to the same shape and black loses a move.
In this situation, black can continue to fight the ko at B. It’s is a one move approach ko for white, and if white wins one time he can play at C to make it into a direct ko.
In fact, playing at A is not the only move.
White can also play at B or C, and it is still the same result.
Probably in an actual game playing at B will be the best since it’s always better to put your stones outside.
Furthermore, white can even choose to tenuki at this point.
Black cannot live in one move and has to win the ko at C1 and then take the 3 stones.
It’s still a two-move approach ko for white.
Why did we only see this move in this position?
Well, I guess we are too used to the eternal life position shown below, we mistakenly thought that this is the only move now.
However, it’s clear that it’s not the case.
In the case of the above position, then yes A4 is the only move, since playing anywhere else will allow black to live.
In conclusion:
This is a problem that looks like an eternal life but is not.
It looks like a ko problem with infinite local ko threats but it’s not.
In the end it’s just a simple ko problem.
Even though the best solution is nothing special, at least there was an interesting variation inside.
Maybe white can even consider tricking black by playing at A4 first, and when black tries to find ko threat the second time by playing at A1, white can make it into a real ko. 🙂