After joseki：capturing race of corner and edge 3

Continuation from the Previous Article (Link: https://www.1200igosharing.blog/en/post/after-joseki%EF%BC%9Acapturing-race-of-corner-and-edge-2)

In the previous article, we mentioned that Black could consider playing the hane and connect at point A.

After the hane and connect, Black can easily kill White with move 5.

However, in this situation, AI suggests a more aggressive approach, using the moves at 1, 3, and 5 to peep. This sequence has more variations than the hane and connect, so it must be used carefully.

Black's ideal outcome is if White does not counterattack, allowing Black to capture the White corner with move 9.

Compared to capturing the corner after the hane and connect, Black's direct move at 2-2 yields slightly better territory, leaving White with fewer liberties and ko threats. However, this minor gain might provoke a counterattack.

The first counterattack involves White playing move 4 to hane, forming a bulky 5 shape in the corner.

Since Black cannot win a capturing race against the bulky 5 shape, Black must crawl with move 5, allowing White to live in the corner with move 6.

The result is similar to the compromise position discussed in the previous article, but if it leads to a compromise, then directly playing at 2-2 is not as good as the hane and connect, as it leaves Black with a weaker outside position and a loss in points.

Directly playing at 2-2 could also face a counterattack from White's hane on the outside, leaving Black with two choices.

Black can play it safe by standing with move 5 and then jumping at move 7. When White hane's at move 8, Black can connect at move 9 to kill the White corner. However, White's liberties will be longer, giving White a slight gain in the endgame. In summary:

In the first diagram, Black gains a slight profit through the peep at 2-2, yielding the highest win rate.

In the second diagram, White gains a small advantage through the exchange of the hane on the outside, resulting in a slightly lower win rate for Black.

The third diagram is very similar to the second but is the least favorable of the three choices.

In response to White's hane at move 4 on the outside, Black has another more aggressive option.

This involves Black playing the atari at move 5 and then crawling at move 7, leading to a chaotic fight!

To summarize without delving into the intense variations, if White hane's at H18, then the peep at 2-2 is beneficial. If White compromises to live in the corner, then the peep at 2-2 is not as good as the hane and connect. So when should Black use the peep at 2-2? It is when the value of H18 is greater than the value of compromising to live in the corner. In the example above, H18 would separate White's three stones in the upper left, which is quite valuable. Let's look at a few more examples.