Joachim Meinhardt rediscovered an oki in the hanezeki for use during its dissolution within the classical solution sequence, which had merely been used earlier by Fujisawa Hideyuki 9p in the context of another semeai within a subvariation.

The reason for not considering this move may have been the move order chosen by Fujisawa Hideyuki in occupying Black's liberties on the right side of the board, which was discussed in the previous section.

After determining the value of this move we will realise that White had missed an opportunity to win the game in the "classical" environment.

Referenced by ( 2025c), ( 2041), ( 2041), ( 2041)

Let's go back in time and enter the world of amateurs ...

: ( 2022MainLine)
Joachim Meinhardt rediscovered White's oki at in the course of the dissolving of the hanezeki in the Capture Variation.
This discovery, which destroyed the known professional solution at that time, was the answer to the simple question "Why not here?"

Please note that the board position already includes Jérôme Hubert's and Joachim's adjustments of the order of moves in the mutual occupation of opponent's liberties before ().

For further details, please refer to section "Jérôme Hubert's Correction of the Mutual Occupation of Opponent's Liberties" ( 2041)

It may have been helpful for Joachim that White had already made her maximum profit in the right centre in this constellation, so that he no longer had to waste any thought on optimising this issue.

As we already saw before, White benefited from Joachim's Rediscovered Oki even in the case of Fujisawa Hideyuki's order of moves, but in this case there was still the distraction of the not yet secured White territory in the right centre ...

For further details, please refer to section "Jérôme Hubert's Correction of the Mutual Occupation of Opponent's Liberties" ( 2041).

:
Black continues with attacking White's group in the corner.

He is unable to connect at , instead, intending to capture White's just played stone.

:
White leads her invasion stone into the open, in sente.

:
Black has gote in the lower right corner.

White will start the endgame on the left side of the board with the atari of Fujisawa Hideyuki 9p.
The endgame sequence at the left will end with Black's sente, allowing him to take the point of in the right centre.

Finally, he must resume the interrupted dissolving of the Hanezeki with .

About two decades earlier, in the dawn of time ...

:
Fujisawa Hideyuki shows a subvariation of the dissolving of the hanezeki that starts with , capturing the hanezeki's tail (instead of connecting her single stone in the upper left with ), just after Black's counter-atari in the course of the Crosscut Sequence in the upper left centre.

:
Black recaptures, of course.

:
This is the oki into Black's three-point eye.

However, this move seems to have been seen primarily as an eye-stealing tesuji, but less as a way to destroy Black territory.

White must not let Black occupy this point, as the fight in the lower left corner would end immediately, clearly decided in Black's favour.
Black's large group in the upper right has a lot more outside liberties than necessary to survive the process of taking all of White's stones in the lower right off the board.

:
The fight in the real hanezeki has come to its end.

If White captures at , Black will give atari in the corner with .

Territory in the Capture Variation:

White:

• 20 captured Black stones in the centre of the board
• 19 points of territory there (including one recaptured Black stone)
• 3 captured Black stones at the right edge

= 42 points in total

Black:

• 31 captured White stones (of her large groups) in the hanezeki
• 30 points of territory there (including minus one point for Black's earlier throw-in)
• 4 captured White stones at the bottom

= 65 points in total

White lost 23 points through the dissolving of the hanezeki.

Let's return to Fujisawa Hideyuki's classical solution to the problem ...

:
In his Capture Variation, ...

...

:
... Fujisawa Hideyuki does not play the oki at , but continues with occupying Black's liberties.

Please note that one of the reasons for this could be the occupation of three worthless points () during the mutual occupation of opponent's liberties before.

For further details, please refer to section "Jérôme Hubert's Correction of the Mutual Occupation of Opponent's Liberties" ( 2041).

:
Black is forced to attack White's group in the lower right corner.

He is unable to connect at , instead, as his large group in the upper right is quite short of liberties.

...

:
The explicit presentation of Fujisawa Hideyuki's solution ends with this move.

He adds in his comment that the endgame on the left side of the board will start with , , but does not give any details about the concrete continuation that he had in mind.

The best assumption of the classical endgame at the left side will allow White to give atari at in the lower right.

For further details, please refer to section "Jérôme Hubert's Correction of the Mutual Occupation of Opponent's Liberties" ( 2041).

Let's return to the world of amateurs, and calculate the effect of Joachim's Rediscovered Oki ...

Territory in the marked areas (in the Capture Variation) ...

Fujisawa Hideyuki (best guess; at left):

• Black has three points of territory at the bottom.
• White has one point of territory in the right centre.

= In total, Black has two points.

Joachim's Rediscovered Oki (at right):

-
• At the bottom, White captured one Black stone, so gaining one point.
• White does not have any territory in the right centre.

= In total, White has one point.

White gained three points through Joachim's Rediscovered Oki, compared to the supposed endgame sequence in Fujisawa Hideyuki's line of play.

Fujisawa Hideyuki gave the result of his Capture Variation as "Black + 2", so ...

Joachim's Rediscovered Oki would White let win the game by one point!

Correct order of liberty occupying moves before provided.

2022MainLine