$$Wcm102 W 102 (KataGo's crosscut after Yamada's tsuke)
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . X . . . O X . |
$$ | . . . . B W ? X O O . X O X O . . O . |
$$ | . . . . 1 X . O . . . X O . . O O . . |
$$ | . X O , . . . . . O . X . O O X . . . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O . X O O X X O O . O X . . X . |
$$ | O X . X . X . O O X O . . . X X X X X |
$$ | O X . X . . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X . . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O . O X . O X O . X X O O O X O O |
$$ | X O X O . X . O X O X . O X X X O O O |
$$ | O X X X X . . O X O O O O X O X O O X |
$$ | O . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . O . . . . O X X X . O . |
$$ +---------------------------------------+
- Click Here To Show Diagram Code
[go]$$Wcm102 W 102 (KataGo's crosscut after Yamada's tsuke)
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . X . . . O X . |
$$ | . . . . B W ? X O O . X O X O . . O . |
$$ | . . . . 1 X . O . . . X O . . O O . . |
$$ | . X O , . . . . . O . X . O O X . . . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O . X O O X X O O . O X . . X . |
$$ | O X . X . X . O O X O . . . X X X X X |
$$ | O X . X . . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X . . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O . O X . O X O . X X O O O X O O |
$$ | X O X O . X . O X O X . O X X X O O O |
$$ | O X X X X . . O X O O O O X O X O O X |
$$ | O . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
We were very surprised that KataGo preferred the crosscut of 102 (after Yamada's tsuke = marked stones) to drawing-back with a move at G18.
On the other hand, this move might be standard endgame repertoire that we amateurs were absolutely not aware of.
$$Bcm101 (B 103 - B 107)
$$ +---------------------------------------+
$$ | . . . 7 4 . . . . . . . X . . . O X . |
$$ | . . . 5 X O 6 X O O . X O X O . . O . |
$$ | . . . 3 O X . O . . . X O . . O O . . |
$$ | . X O , . . . . . O . X . O O X . . . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O . X O O X X O O . O X . . X . |
$$ | O X . X . X . O O X O . . . X X X X X |
$$ | O X . X . . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X . . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O . O X . O X O . X X O O O X O O |
$$ | X O X O . X . O X O X . O X X X O O O |
$$ | O X X X X . . O X O O O O X O X O O X |
$$ | O . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . O . . . . O X X X . O . |
$$ +---------------------------------------+
- Click Here To Show Diagram Code
[go]$$Bcm101 (B 103 - B 107)
$$ +---------------------------------------+
$$ | . . . 7 4 . . . . . . . X . . . O X . |
$$ | . . . 5 X O 6 X O O . X O X O . . O . |
$$ | . . . 3 O X . O . . . X O . . O O . . |
$$ | . X O , . . . . . O . X . O O X . . . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O . X O O X X O O . O X . . X . |
$$ | O X . X . X . O O X O . . . X X X X X |
$$ | O X . X . . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X . . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O . O X . O X O . X X O O O X O O |
$$ | X O X O . X . O X O X . O X X X O O O |
$$ | O X X X X . . O X O O O O X O X O O X |
$$ | O . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
We will display KataGo's main variation only.
Perhaps there is someone in the honoured audience who wants to refute KataGo? We have not succeeded so far.
Please remember that this is a sheer endgame problem. It has nothing at all to do with the rest of the board (ko-fights excluded).
$$Wcm108 (W 108 - B 117)
$$ +---------------------------------------+
$$ | . . . X O . . . . . . . X . . . O X . |
$$ | . . . X X O O X O O . X O X O . . O . |
$$ | . . . X O X 9 O . . . X O . . O O . . |
$$ | . X O , . 0 6 . . O . X . O O X . . . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O . X O O X X O O . O X . . X . |
$$ | O X . X . X . O O X O . . . X X X X X |
$$ | O X . X . . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X . . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O . O X . O X O . X X O O O X O O |
$$ | X O X O . X . O X O X . O X X X O O O |
$$ | O X X X X 8 . O X O O O O X O X O O X |
$$ | O . . . O X 7 O X X X X X . O X X O X |
$$ | O . X . 2 1 X O O O O O O X O X . O X |
$$ | . X . . 4 3 5 O . . . . O X X X . O . |
$$ +---------------------------------------+
- Click Here To Show Diagram Code
[go]$$Wcm108 (W 108 - B 117)
$$ +---------------------------------------+
$$ | . . . X O . . . . . . . X . . . O X . |
$$ | . . . X X O O X O O . X O X O . . O . |
$$ | . . . X O X 9 O . . . X O . . O O . . |
$$ | . X O , . 0 6 . . O . X . O O X . . . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O . X O O X X O O . O X . . X . |
$$ | O X . X . X . O O X O . . . X X X X X |
$$ | O X . X . . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X . . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O . O X . O X O . X X O O O X O O |
$$ | X O X O . X . O X O X . O X X X O O O |
$$ | O X X X X 8 . O X O O O O X O X O O X |
$$ | O . . . O X 7 O X X X X X . O X X O X |
$$ | O . X . 2 1 X O O O O O O X O X . O X |
$$ | . X . . 4 3 5 O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The endgame continues on the lower edge with White's "usual" move at 108.
$$Wcm118 (W 118 - B 123)
$$ +---------------------------------------+
$$ | . . . X O . . . . . . . X X . . O X . |
$$ | . . . X X O O X O O . X O X O . . O . |
$$ | . . . X O X O O . . . X O O . O O . . |
$$ | . X O , . X X 2 3 O . X . O O X . . . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O 1 X O O X X O O . O X . . X . |
$$ | O X . X . X . O O X O . . . X X X X X |
$$ | O X . X . . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X 6 . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O 5 O X . O X O . X X O O O X O O |
$$ | X O X O 4 X . O X O X . O X X X O O O |
$$ | O X X X X X . O X O O O O X O X O O X |
$$ | O . . . O X O O X X X X X . O X X O X |
$$ | O . X . X O . O O O O O O X O X . O X |
$$ | . X . . X O O O . . . . O X X X . O . |
$$ +---------------------------------------+
- Click Here To Show Diagram Code
[go]$$Wcm118 (W 118 - B 123)
$$ +---------------------------------------+
$$ | . . . X O . . . . . . . X X . . O X . |
$$ | . . . X X O O X O O . X O X O . . O . |
$$ | . . . X O X O O . . . X O O . O O . . |
$$ | . X O , . X X 2 3 O . X . O O X . . . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O 1 X O O X X O O . O X . . X . |
$$ | O X . X . X . O O X O . . . X X X X X |
$$ | O X . X . . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X 6 . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O 5 O X . O X O . X X O O O X O O |
$$ | X O X O 4 X . O X O X . O X X X O O O |
$$ | O X X X X X . O X O O O O X O X O O X |
$$ | O . . . O X O O X X X X X . O X X O X |
$$ | O . X . X O . O O O O O O X O X . O X |
$$ | . X . . X O O O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
Eventually, White 118 is her bad-shape move in the left centre that costs Black one point.
$$Wcm124 (W 124 - W 128)
$$ +---------------------------------------+
$$ | . . . X O 3 . . . . . . X X . . O X . |
$$ | . . . X X O O X O O . X O X O . . O . |
$$ | . . . X O X O O . . . X O O . O O . . |
$$ | . X O , . X X X O O . X . O O X 4 5 . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O O X O O X X O O . O X . . X . |
$$ | O X . X 1 X . O O X O . . . X X X X X |
$$ | O X . X 2 . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X X . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O O O X . O X O . X X O O O X O O |
$$ | X O X O X X . O X O X . O X X X O O O |
$$ | O X X X X X . O X O O O O X O X O O X |
$$ | O . . . O X O O X X X X X . O X X O X |
$$ | O . X . X O . O O O O O O X O X . O X |
$$ | . X . . X O O O . . . . O X X X . O . |
$$ +---------------------------------------+
- Click Here To Show Diagram Code
[go]$$Wcm124 (W 124 - W 128)
$$ +---------------------------------------+
$$ | . . . X O 3 . . . . . . X X . . O X . |
$$ | . . . X X O O X O O . X O X O . . O . |
$$ | . . . X O X O O . . . X O O . O O . . |
$$ | . X O , . X X X O O . X . O O X 4 5 . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O O X O O X X O O . O X . . X . |
$$ | O X . X 1 X . O O X O . . . X X X X X |
$$ | O X . X 2 . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X X . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O O O X . O X O . X X O O O X O O |
$$ | X O X O X X . O X O X . O X X X O O O |
$$ | O X X X X X . O X O O O O X O X O O X |
$$ | O . . . O X O O X X X X X . O X X O X |
$$ | O . X . X O . O O O O O O X O X . O X |
$$ | . X . . X O O O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
For the sake of simplicity for calculation, let us assume these moves here, which might not necessarily be played in order.
White's connection at 126 is not related to the Main Semeai, so White loses a move therein. Therefore, Black is able to play an additional forcing move at the right, e.g. at 127.
$$Bc (White's gains and losses)
$$ +---------------------------------------+
$$ | . . . X O O T T . . . . X X . . O X . |
$$ | . . . X X O O X O O . X O X O . . O . |
$$ | . . . X O X O O . . . X O O . O O . . |
$$ | . X O , . X X X O O . X . O O X X P . |
$$ | . . X X X X O O P . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O O X O O X X O O . O X . . X . |
$$ | O X . X O X . O O X O . . . X X X X X |
$$ | O X . X X . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X X . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O O O X . O X O . X X O O O X O O |
$$ | X O X O X X . O X O X . O X X X O O O |
$$ | O X X X X X . O X O O O O X O X O O X |
$$ | O . . . O X O O X X X X X . O X X O X |
$$ | O . X . X O . O O O O O O X O X . O X |
$$ | . X . . X O O O . . . . O X X X . O . |
$$ +---------------------------------------+
- Click Here To Show Diagram Code
[go]$$Bc (White's gains and losses)
$$ +---------------------------------------+
$$ | . . . X O O T T . . . . X X . . O X . |
$$ | . . . X X O O X O O . X O X O . . O . |
$$ | . . . X O X O O . . . X O O . O O . . |
$$ | . X O , . X X X O O . X . O O X X P . |
$$ | . . X X X X O O P . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O O X O O X X O O . O X . . X . |
$$ | O X . X O X . O O X O . . . X X X X X |
$$ | O X . X X . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X X . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O O O X . O X O . X X O O O X O O |
$$ | X O X O X X . O X O X . O X X X O O O |
$$ | O X X X X X . O X O O O O X O X O O X |
$$ | O . . . O X O O X X X X X . O X X O X |
$$ | O . X . X O . O O O O O O X O X . O X |
$$ | . X . . X O O O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
White lost two points of territory (crossed), one in the centre and one at the right.
On the upper edge, she gains two points of territory in return (triangled).
$$Bc (Black's losses)
$$ +---------------------------------------+
$$ | . . . Z O O . . . . . . X X . . O X . |
$$ | . . . Z X O O X O O . X O X O . . O . |
$$ | . . . X O X O O . . . X O O . O O . . |
$$ | . X O , . X X X O O . X . O O X X O . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O O X O O X X O O . O X . . X . |
$$ | O X . X O X . O O X O . . . X X X X X |
$$ | O X . X X . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X X . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O O O X . O X O . X X O O O X O O |
$$ | X O X O X X . O X O X . O X X X O O O |
$$ | O X X X X X . O X O O O O X O X O O X |
$$ | O . . . O X O O X X X X X . O X X O X |
$$ | O . X . X O . O O O O O O X O X . O X |
$$ | . X . . X O O O . . . . O X X X . O . |
$$ +---------------------------------------+
- Click Here To Show Diagram Code
[go]$$Bc (Black's losses)
$$ +---------------------------------------+
$$ | . . . Z O O . . . . . . X X . . O X . |
$$ | . . . Z X O O X O O . X O X O . . O . |
$$ | . . . X O X O O . . . X O O . O O . . |
$$ | . X O , . X X X O O . X . O O X X O . |
$$ | . . X X X X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | O O O O O X O O X X O O . O X . . X . |
$$ | O X . X O X . O O X O . . . X X X X X |
$$ | O X . X X . . O X X O . X X X X O O O |
$$ | X O O X . X . O X O O X X O O O O X . |
$$ | X X O O X X . O X O . X O O O . X X X |
$$ | X X . O X . . O X O . X O O X X X O O |
$$ | X X O O X . . O X O . X O O O X X X O |
$$ | X O O O O X . O X O . X X O O O X O O |
$$ | X O X O X X . O X O X . O X X X O O O |
$$ | O X X X X X . O X O O O O X O X O O X |
$$ | O . . . O X O O X X X X X . O X X O X |
$$ | O . X . X O . O O O O O O X O X . O X |
$$ | . X . . X O O O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
Black's additional loss of territory in the upper left corner is two points (crossed).
The final score is reduced by this margin. Instead of ending in jigo, now the game's result is
W + 2.
+ + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + + + + + + + +
Have we reached the end of the story?
We do not have the slightest idea ...