The most difficult problem ever. Igo Hatsuyoron 120

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Cassandra
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Re: The most difficult problem ever. Igo Hatsuyoron 120

Post by Cassandra »

RobertJasiek wrote:Sorry for playing the noob.
Some trivial help below ...
RobertJasiek wrote:
Click Here To Show Diagram Code
[go]$$Bm135 $$ +---------------------------------------+ $$ | . . . . X . X O . . . O . O . . O X . | $$ | . . X 8 . X O . O O O X O . O . . O . | $$ | . X O O X X . O . . . X O O . O O . . | $$ | . X O X O X X 9 0 O . X . O O X . . . | $$ | X . X X O X O O O . O X X X X X O O . | $$ | O X . O O O X X X O . . X . X O X . . | $$ | O O O O X X O O X X O O O O X O . X . | $$ | O X . X . X . O O X O . . . X X X X X | $$ | O X . X . . . O X X O . X X X X O O O | $$ | 2 O O X . X . O X O O X X O O O O X . | $$ | 1 4 O O X . . O X O . X O O O . X X X | $$ | 5 3 O O X . . O X O . X O O X X X O O | $$ | 7 . O O X . . O X O . X O O O X X X O | $$ | . O O X . X . O X O . X X O O O X O O | $$ | 6 O X . X X . O X O X . O X X X O O O | $$ | O X X X X X . O X O O O O X O X O O X | $$ | O . . . O X O O X X X X X T O X X O X | $$ | 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]
Why would 36 at 41 fail?
Variation 1:
Black plays 37 at 36. White's cut-off group above is left with only two liberties. In principle, White will have to capture the Hanezeki's Tail with :wt: (otherwise, Black will connect there in Sente), so losing several points from the repeated capture of Black's Nakade at the left edge.
Otherwise, if White takes liberty of Black's two stones, Black will throw-in at 40, leaving White with a two-point-eye only. This loses her several Main-Semeai-Liberties (not to mention the captured Black stones), so White would have to capture the Tail later.

Variation 2:
Black throws-in at 40. This means that White has lost the capture of the five-point Nakade, i.e. Black stones and Main-Semeai-Liberties as well.
White's capture of the Tail might come later than in variation 1, but still in vain.
RobertJasiek wrote:
Click Here To Show Diagram Code
[go]$$Bm155 $$ +---------------------------------------+ $$ | . . . X X . X O . . . O . O . . O X . | $$ | . . X . X X O . O O O X O . O . . O . | $$ | . X . . X X . O . . 8 X O O . O O . . | $$ | . X . X O X X X O O O X . O O X O . . | $$ | X . X X O X O O O . O X X X X X O O . | $$ | O X X O O O X X X O . O X . X O X 4 b | $$ | O O O O X X O O X X O O O O X O . X . | $$ | O X 7 X . X . O O X O . O . X X X X X | $$ | O X 5 X . 3 . O X X O 6 X X X X O O O | $$ | O O O X . X 2 O X O O X X O O O O X . | $$ | X O O O X . . O X O . X O O O . X X X | $$ | X X O O X . . O X O . X O O X X X O O | $$ | X 1 O O X . . O X O . X O O O X X X O | $$ | 0 O O X . X . O X O O X X O O O X O O | $$ | O O X . X X . O X O X a O X X X O O O | $$ | O X X X X X . O X O O O O X O X O O X | $$ | O X . . O X O O X X X X X . O X X O X | $$ | O X X . X O . O O O O O O X O X . O X | $$ | 9 X . . X O O O . . . . O X X X . O . | $ +---------------------------------------+[/go]
Why does White postpone dissolution of the hane-seki as long as possible?
White will dissolve the hane-seki, why does he play all the approach moves in the upper right?
White wants to (repeatedly) capture as many stones in the Nakade as possible.

Capturing the Hanezeki's Tail is Sente for White.
However, this means that White thereafter has ONLY ONE move for free. If there remained more than one open spot into her territory in the centre, and the upper right, Black would destroy some White territory and win.

EDIT:
After this diagram, Black will play three Gote moves inside the Nakade. At the right, there are two valueable spots left (a and b), so White has sufficient opportunity to fill these.
If the Semeai-Variation were best for White, to order of White's liberty-taking moves at the right would not matter at all.
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)
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Re: The most difficult problem ever. Igo Hatsuyoron 120

Post by dany »

Cassandra wrote: For some of these non-Main-Semeai variations, it seems to have been consolidated in the meantime that they represent valid solutions to the problem. I will publish details on this in subsequent posts.
Does these non-Main-Semeai variations really matter?


If non-Main-Semeai variations better for White then Black force Main-Semeai variation

https://igohatsuyoron120.de/2015/0009f.htm
"81 blocks the upper left corner. Black could have enforced the "usual" 2022 Solution by inserting the Guzumi A prior to any of the marked moves in the centre (White would be forced to answer locally at B."


If non-Main-Semeai variations better for Black then White will choose Main-Semeai variation at move 82

So in any case Main-Semeai will be choosen not non-Main-Semeai variations
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Re: The most difficult problem ever. Igo Hatsuyoron 120

Post by Cassandra »

dany wrote:So in any case Main-Semeai will be choosen not non-Main-Semeai variations
Really?
The further course of the Main Semeai does NOT match the historical meaning of the title of the problem given by Inoue Dôsetsu Inseki.
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)
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Re: The most difficult problem ever. Igo Hatsuyoron 120

Post by Cassandra »

The other non-Main-Semeai variations

The other non-Main-Semeai variations still have a long way to go before consolidation, as the board is much emptier / more open and there are therefore many more variations to investigate.

8 generations of the 28b-net after #59 ...

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +


046048_F2J3

Click Here To Show Diagram Code
[go]$$B $$ +---------------------------------------+ $$ | . . . . . . . . . . . . X . . . O X . | $$ | . . . . . . . X O O . X O X O . . O . | $$ | . . . . . X . O . . . X O . . O O . . | $$ | . X O , . . . . . O . X . O O X . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . Y . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X O O O | $$ | X O O , . X . . . O . X X O O O O X . | $$ | X . . O X . . . . O . X O O O . X X X | $$ | X . . O X . . . X O . X O O X X X O O | $$ | X X . . X . . O . O . X O O O X X X O | $$ | . O O X O X . . . O . X X O O O X O O | $$ | . . X . . X . . . a X . O X X X O O O | $$ | O X X , X . . O . O O O O X O X O O X | $$ | . . . . O X B . W X X X X . O X X O X | $$ | O . X . . Q . . O O O O O X O X . O X | $$ | . X . . . . . . . . . . O X X X . O . | $$ +---------------------------------------+[/go]

Really seems to come down to Jigo.
However, the question of whether :bc: is actually the best answer to :wt: still needs to be clarified.
:bc: does not seem to be the best answer to :wt: . The push at a, instead, makes the game easier for Black.
The jûrokubango is still to come.


046_J3

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . X . . . O X . | $$ | . . . . . . . X O O . X O X O . . O . | $$ | . . . . . X . O . . . X O . . O O . . | $$ | . X O , . . . . . O . X . O O X . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . Y . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X O O O | $$ | X O O , . X . . . O . X X O O O O X . | $$ | X . . O X . . . . O . X O O O . X X X | $$ | X . . O X . . . X O . X O O X X X O O | $$ | X X . . X . . O . O . X O O O X X X O | $$ | . O O X O X . . . O . X X O O O X O O | $$ | . . X . . X . . . . X . O X X X O O O | $$ | O X X , X . . O . O O O O X O X O O X | $$ | . . . . O X . . Q X X X X . O X X O X | $$ | O . X . . . . . O O O O O X O X . O X | $$ | . X . . . . . . . . . . O X X X . O . | $$ +---------------------------------------+[/go]

Seems to be a bit easier for Black than for White.
The jûrokubango is still to come.


046_F2

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . X . . . O X . | $$ | . . . . . . . X O O . X O X O . . O . | $$ | . . . . . X . O . . . X O . . O O . . | $$ | . X O , . . . . . O . X . O O X . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . Y . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X O O O | $$ | X O O , . X . . . O . X X O O O O X . | $$ | X . . O X . . . . O . X O O O . X X X | $$ | X . . O X . . . X O . X O O X X X O O | $$ | X X . . X . . O . O . X O O O X X X O | $$ | . O O X O X . . . O . X X O O O X O O | $$ | . . X . . X . . . a X . O X X X O O O | $$ | O X X , X . . O . O O O O X O X O O X | $$ | . . . . O X . . . X X X X . O X X O X | $$ | O . X . . Q . . O O O O O X O X . O X | $$ | . X . . . . . . . . . . O X X X . O . | $$ +---------------------------------------+[/go]

Easier for Black than for White.
A move at a seems to be an interesting option for Black now.


044_K3

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . . . . . O X . | $$ | . . . . . . . X O O . X O . W W . O . | $$ | . . . . . X . O . . . X Y . . B O . . | $$ | . X O , . . . . . O . X . O O B . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . @ . | $$ | . O O O . . O O . . O O . O X . . # . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X X O O | $$ | X O O , . X . . . O . X X O O O O O . | $$ | X . . O X . . . . O . X O O O . X X X | $$ | X . . O X . . . X O . X O O X X X O O | $$ | X X . . X . . O . O . X O O O X X X O | $$ | . O O X O X . . . O . X X O O O X O O | $$ | . . X . . X . . . . X . O X X X O O O | $$ | O X X , X . . O . O O O O X O X O O X | $$ | . . . . O X . . . Q X X X . O X X O X | $$ | O . X . . . . . O . O O O X O X . O X | $$ | . X . . . . . . . . . . O X X X . O . | $$ +---------------------------------------+[/go]

Easier for Black than for White.


:ex: 040_K3 :ex:

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . . . . . O X . | $$ | . . . . . . . X O O . X O . . . . O . | $$ | . . . . . X . O . . . X . . . W O . . | $$ | . X O , . . . . . O . X . O O B . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . Y . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X O O O | $$ | X O O , . X . . . O . X X O O O O X . | $$ | X . . O X . . . . O . X O O O . X X X | $$ | X . . O X . . . X O . X O O X X X O O | $$ | X X . . X . . O . O . X O O O X X X O | $$ | . O O X O X . . . O . X X O O O X O O | $$ | . . X . . X . . . . X . O X X X O O O | $$ | O X X , X . . O . O O O O X O X O O X | $$ | . . . . O X . . . Q X X X . O X X O X | $$ | O . X . . . . . O . O O O X O X . O X | $$ | . X . . . . . . . . . . O X X X . O . | $$ +---------------------------------------+[/go]

Easier for White than for Black.
False positive!
BOTH nets usually win with White.


036_L3

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . . . . . O X . | $$ | . . . . . . . X O O . X O . . . . O . | $$ | . . . . . X . O . . . X . . . . O . . | $$ | . X O , . . . . . O . X . O O , . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . Y . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X O O O | $$ | X O O , . X . . . O . X X O O O O X . | $$ | X . . O X . . . . O . X O O O . X X X | $$ | X . . O X . . . X O . X O O X X X O O | $$ | X X . . X . . O . O . X O O O X X X O | $$ | . O O X O X . . . O . X X O O O X O O | $$ | . . X . . X . . . . X . O X X X O O O | $$ | O X X , X . . O . , O O O X O X O O X | $$ | . . . . O X . . . . Q X X . O X X O X | $$ | O . X . . . . . O . O O O X O X . O X | $$ | . X . . . . . . . . . . O X X X . O . | $$ +---------------------------------------+[/go]

Seems to come down to Jigo.


036_F2

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . . . . . O X . | $$ | . . . . . . . X O O . X O . . . . O . | $$ | . . . . . X . O . . . X . . . . O . . | $$ | . X O , . . . . . O . X . O O , . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . Y . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X O O O | $$ | X O O , . X . . . O . X X O O O O X . | $$ | X . . O X . . . . O . X O O O . X X X | $$ | X . . O X . . . X O . X O O X X X O O | $$ | X X . . X . . O . O . X O O O X X X O | $$ | . O O X O X . . . O . X X O O O X O O | $$ | . . X . . X . . . . X . O X X X O O O | $$ | O X X , X . . O . , O O O X O X O O X | $$ | . . . . O X . . . . . X X . O X X O X | $$ | O . X . . Q . . O . O O O X O X . O X | $$ | . X . . . . . . . . . . O X X X . O . | $$ +---------------------------------------+[/go]

Probably a "false positive".
BOTH nets win a lot of games with Black.
The jûrokubango is still to come.


012_O5

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . . . . . O X . | $$ | . . . . . . . X O O . X O . . . . O . | $$ | . . . . . X . O . . . X . . . . O . . | $$ | . X O , . . . . . O . X . O O , . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . . . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X . O O | $$ | X O O , . X . . . O . X . O O O O Y . | $$ | X . . O X . . . . O . X . . O . X X X | $$ | X . . O X . . . X O . X O O X X X O O | $$ | X X . . X . . O . O . X O . . . X X O | $$ | . O O X O X . . . O . . X O O . . O O | $$ | . . X . . X . . . . X . . Q X X O O O | $$ | O X X , X . . O . , O O O . O X O . X | $$ | . . . . O X . . . . . . . . . X X O X | $$ | O . X . . . . . O . . . O X O X . O . | $$ | . X . . . . . . . . . . O X X X . . . | $$ +---------------------------------------+[/go]

Easier for Black than for White.


011_O8

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . . . . . O X . | $$ | . . . . . . . X O O . X O . . . . O . | $$ | . . . . . X . O . . . X . . . . O . . | $$ | . X O , . . . . . O . X . O O , . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . . . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X . O O | $$ | X O O , . X . . . O . X . O O O O . . | $$ | X . . O X . . . . O . X . . O . . X X | $$ | X . . O X . . . X O . X O Y . X X O O | $$ | X X . . X . . O . O . X O . . . X X O | $$ | . O O X O X . . . O . . X O O . X O O | $$ | . . X . . X . . . . X . . X X X O O O | $$ | O X X , X . . O . , O O O . O X O Q X | $$ | . . . . O X . . . . . . . . . X X O X | $$ | O . X . . . . . O . . . O X O X . O . | $$ | . X . . . . . . . . . . O X X X . . . | $$ +---------------------------------------+[/go]

Seems to be a bit easier for Black than for White.
The jûrokubango is still to come.


010_O5

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . . . . . O X . | $$ | . . . . . . . X O O . X O . . . . O . | $$ | . . . . . X . O . . . X . . . . O . . | $$ | . X O , . . . . . O . X . O O , . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . . . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X . O O | $$ | X O O , . X . . . O . X . O O O O Y . | $$ | X . . O X . . . . O . X . . O . X X X | $$ | X . . O X . . . X O . X O . . X X O O | $$ | X X . . X . . O . O . . . . . . X X O | $$ | . O O X O X . . . O . . X O O . X O O | $$ | . . X . . X . . . . X . . Q X X O O O | $$ | O X X , X . . O . , O O O . O X O O X | $$ | . . . . O X . . . . . . . . . X X O X | $$ | O . X . . . . . O . . . O X O X . O . | $$ | . X . . . . . . . . . . O X X X . . . | $$ +---------------------------------------+[/go]

Seems to be a bit easier for Black than for White.
The jûrokubango is still to come.


009_N9

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . . . . . O X . | $$ | . . . . . . . X O O . X O . . . . O . | $$ | . . . . . X . O . . . X . . . . O . . | $$ | . X O , . . . . . O . X . O O , . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . . . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X . O O | $$ | X O O , . X . . . O . X . O O O O . . | $$ | X . . O X . . . . O . X Y . O . . X X | $$ | X . . O X . . . X O . X O . X X X O O | $$ | X X . . X . . O . O . X O . . . X X O | $$ | . O O X O X . . . O . . X Q O . . O O | $$ | . . X . . X . . . . X . . . X X O O O | $$ | O X X , X . . O . , O O O . O X O . X | $$ | . . . . O X . . . . . . . . . X X O X | $$ | O . X . . . . . O . . . O X O X . O . | $$ | . X . . . . . . . . . . O X X X . . . | $$ +---------------------------------------+[/go]

Probably a "false positive".
BOTH nets win a lot of games with Black.
The jûrokubango is still to come.


008_O5

Click Here To Show Diagram Code
[go]$$Bc $$ +---------------------------------------+ $$ | . . . . . . . . . . . . . . . . O X . | $$ | . . . . . . . X O O . X O . . . . O . | $$ | . . . . . X . O . . . X . . . . O . . | $$ | . X O , . . . . . O . X . O O , . . . | $$ | . . X X . X . . . . O X X . X X O O . | $$ | . X . O . O . . . . . . X . X O . . . | $$ | . O O O . . O O . . O O . O X . . . . | $$ | O . . X . . . . . . . . . . X X X X X | $$ | . . . X . . . O . . O . X X X X . O O | $$ | X O O , . X . . . O . X . O O O O Y . | $$ | X . . O X . . . . O . X . . O . X X X | $$ | X . . O X . . . X O . X O . . X X O O | $$ | X X . . X . . O . O . . . . . . X X O | $$ | . O O X O X . . . O . . X O O . . O O | $$ | . . X . . X . . . . X . . Q X X O O O | $$ | O X X , X . . O . , O O O . O X O . X | $$ | . . . . O X . . . . . . . . . X X O X | $$ | O . X . . . . . O . . . O X O X . O . | $$ | . X . . . . . . . . . . O X X X . . . | $$ +---------------------------------------+[/go]

Seems to be a bit easier for Black than for White.
The jûrokubango is still to come.
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)
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Re: The most difficult problem ever. Igo Hatsuyoron 120

Post by Cassandra »

Almost a year has passed since the last status report. In the course of further network training during this time, additional non-Main Semeai variations were found, so I decided to split the update to improve clarity.

Preparatory work for the corresponding update of the IH120 website is underway, but it will take more than a while...
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)
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Re: The most difficult problem ever. Igo Hatsuyoron 120

Post by Cassandra »

During the formation of the Hanezeki

The first opportunities to deviate towards a non-Main-Semeai solution arise in the initial phase of the formation of the Hanezeki, i.e. as long as the outer blockade is not yet complete.
Black may already have inserted the first exchange for reducing White's territory in the upper right corner.


Type O5

008_O5
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . . . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X . O O |
$$ | X O O , . X . . . O . X . O O O O Y . |
$$ | X . . O X . . . . O . X . . O . B X X |
$$ | X . . O X . . . X O . B W . . X X O O |
$$ | X X . . X . . O . O . . . . . . X X O |
$$ | . O O X O X . . . O . . X W O . . O O |
$$ | . . X . . X . . . . X . . Q X B O O O |
$$ | O X X , X . . O . , O O O . O X O . X |
$$ | . . . . O X . . . . . . . . . X X O X |
$$ | O . X . . . . . O . . . O X O X . W . |
$$ | . X . . . . . . . . . . O X X X . . . |
$$ +---------------------------------------+[/go]
The Jûrokubango is still to come.


010_O5
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . . . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X . O O |
$$ | X O O , . X . . . O . X . O O O O Y . |
$$ | X . . O X . . . . O . X . . O . B X X |
$$ | X . . O X . . . X O . B W . . X X O O |
$$ | X X . . X . . O . O . . . . . . X X O |
$$ | . O O X O X . . . O . . X W O . B O O |
$$ | . . X . . X . . . . X . . Q X B O O O |
$$ | O X X , X . . O . , O O O . O X O W X |
$$ | . . . . O X . . . . . . . . . X X O X |
$$ | O . X . . . . . O . . . O X O X . W . |
$$ | . X . . . . . . . . . . O X X X . . . |
$$ +---------------------------------------+[/go]
The Jûrokubango is still to come.


010_O5 #2
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . . . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X . O O |
$$ | X O O , . X . . . O . X . O O O O Y . |
$$ | X . . O X . . . . O . X . . O . B X X |
$$ | X . . O X . . . X O . B W . . X X O O |
$$ | X X . . X . . O . O . B W . . . X X O |
$$ | . O O X O X . . . O . . X W O . . O O |
$$ | . . X . . X . . . . X . . Q X B O O O |
$$ | O X X , X . . O . , O O O . O X O . X |
$$ | . . . . O X . . . . . . . . . X X O X |
$$ | O . X . . . . . O . . . O X O X . W . |
$$ | . X . . . . . . . . . . O X X X . . . |
$$ +---------------------------------------+[/go]
The Jûrokubango is still to come.


:tmbup: 012_O5 :tmbup:
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . . . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X . O O |
$$ | X O O , . X . . . O . X . O O O O Y . |
$$ | X . . O X . . . . O . X . . O . B X X |
$$ | X . . O X . . . X O . B W W B X X O O |
$$ | X X . . X . . O . O . B W . . . X X O |
$$ | . O O X O X . . . O . . X W O . . O O |
$$ | . . X . . X . . . . X . . Q X B O O O |
$$ | O X X , X . . O . , O O O . O X O . X |
$$ | . . . . O X . . . . . . . . . X X O X |
$$ | O . X . . . . . O . . . O X O X . W . |
$$ | . X . . . . . . . . . . O X X X . . . |
$$ +---------------------------------------+[/go]
The Jûrokubango has just been finished.




Type N9

:ex: 011_N9 :ex:
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . W O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . . . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X . O O |
$$ | X O O , . X . . . O . X . O O O O . . |
$$ | X . . O X . . . . O . X Y . O . . X X |
$$ | X . . O X . . . X O . B W . B X X O O |
$$ | X X . . X . . O . O . B W . . . X X O |
$$ | . O O X O X . . . O . . X W O . . O O |
$$ | . . X . . X . . . . X . . . X X O O O |
$$ | O X X , X . . O . , O O O . O X O . X |
$$ | . . . . O X . . . . . . . . . X X O X |
$$ | O . X . . . . . O . . . O X O X . Q . |
$$ | . X . . . . . . . . . . O X X X . . . |
$$ +---------------------------------------+[/go]
This is probably a "false positive". Now, BOTH nets win a lot of games with Black.
The Jûrokubango had been done. Results were even at that time.




Type O8

011_O8
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . . . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X . O O |
$$ | X O O , . X . . . O . X . O O O O . . |
$$ | X . . O X . . . . O . X . . O . . X X |
$$ | X . . O X . . . X O . B W Y . X X O O |
$$ | X X . . X . . O . O . B W . . . X X O |
$$ | . O O X O X . . . O . . X W O . B O O |
$$ | . . X . . X . . . . X . . B X B O O O |
$$ | O X X , X . . O . , O O O . O X O Q X |
$$ | . . . . O X . . . . . . . . . X X O X |
$$ | O . X . . . . . O . . . O X O X . W . |
$$ | . X . . . . . . . . . . O X X X . . . |
$$ +---------------------------------------+[/go]
Seems to be easier for White than for Black.
The Jûrokubango is still ongoing.


013_O8
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . W O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . . . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X . O O |
$$ | X O O , . X . . . O . X . O O O O . . |
$$ | X . . O X . . . . O . X . . O . . X X |
$$ | X . . O X . . . X O . B W Y . X X O O |
$$ | X X . . X . . O . O . B W . . . X X O |
$$ | . O O X O X . . . O . . X W O . B O O |
$$ | . . X . . X . . . . X . . B X B O O O |
$$ | O X X , X . . O . , O O O . O X O Q X |
$$ | . . . . O X . . . . . . . . . X X O X |
$$ | O . X . . . . . O . . . O X O X . W . |
$$ | . X . . . . . . . . . . O X X X . . . |
$$ +---------------------------------------+[/go]
The Jûrokubango is still to come.


Type O5 #2

012_O5 #2
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . . . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X . O O |
$$ | X O O , . X . . . O . X . O O O O B . |
$$ | X . . O X . . . . O . X . . O . B X X |
$$ | X . . O X . . . X O . B W W B X X O O |
$$ | X X . . X . . O . O . . . . . . X X O |
$$ | . O O X O X . . . O . . X W O W Y O O |
$$ | . . X . . X . . . . X . . Q X B O O O |
$$ | O X X , X . . O . , O O O . O X O . X |
$$ | . . . . O X . . . . . . . . . X X O X |
$$ | O . X . . . . . O . . . O X O X . W . |
$$ | . X . . . . . . . . . . O X X X . . . |
$$ +---------------------------------------+[/go]
The Jûrokubango is still to come.
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)
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User avatar
Cassandra
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Re: The most difficult problem ever. Igo Hatsuyoron 120

Post by Cassandra »

After the completion of the Hanezeki

The second phase of generating non-Main-Semeai solutions begins immediately after the completion of the Hanezeki, i.e. when the tail length is two stones. It ends when the tail begins to move upwards.

Black may already have reduced White's territory in the upper right corner to varying degrees.

Black may have dispensed with an Atari in the Hanezeki.


Type F2

036_F2
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . , O O O X O X O O X |
$$ | . . . . O X . . . . . X X . O X X O X |
$$ | O . X . . Q . . O . O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
This is probably a "false positive". BOTH nets win a lot of games with Black.
The Jûrokubango is still to come.


:tmbup: 046_F2 :tmbup:
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . B . . . O X . |
$$ | . . . . . . . X O O . X O B W . . O . |
$$ | . . . . . X . O . . . X W . . W O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X . . . B B X X . O X X O X |
$$ | O . X . . Q . . O O W O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
This line is easier for Black than for White.
The Jûrokubango had been done.




Type F2J3

042044_F2J3
Click Here To Show Diagram Code
[go]$$B
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . W O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X Y . Q B B X X . O X X O X |
$$ | O . X . . Q . . O W O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The Jûrokubango is still to come.


:tmbup: 046048_F2J3 :tmbup:
Click Here To Show Diagram Code
[go]$$B
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . B . . . O X . |
$$ | . . . . . . . X O O . X O B W . . O . |
$$ | . . . . . X . O . . . X W . . W O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X Y . Q B B X X . O X X O X |
$$ | O . X . . Q . . O W O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
This line is easier for White than for Black.
The Jûrokubango had been done.




Type L3

:tmbup: 036_L3 :tmbup:
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . , O O O X O X O O X |
$$ | . . . . O X . . . . Q X X . O X X O X |
$$ | O . X . . . . . O . O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The Jûrokubango had been done.


042_L3
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . B . . . O X . |
$$ | . . . . . . . X O O . X O B W . . O . |
$$ | . . . . . X . O . . . X W . . W O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . , O O O X O X O O X |
$$ | . . . . O X . . . . Q X X . O X X O X |
$$ | O . X . . . . . O . O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The Jûrokubango is still to come.




Type K3

:ex: 040_K3 :ex:
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . W O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X . . . Q B X X . O X X O X |
$$ | O . X . . . . . O . O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
This is probably a "false positive". Now, BOTH nets win a lot of games with White.
The Jûrokubango had been done. Results were even at that time.




Type F2 #2

042_F2
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X . W B B B X X . O X X O X |
$$ | O . X . . Q . . O W O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
Seems to be easier for White than for Black.
The Jûrokubango is still ongoing.




Type G2

040_G2
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O , . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X . . . B B X X . O X X O X |
$$ | O . X . . . Q . O W O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
Seems to be easier for Black than for White.
The Jûrokubango is still ongoing.


042_P18G2
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . W . . O . |
$$ | . . . . . X . O . . . X . . . . O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X . . . B B X X . O X X O X |
$$ | O . X . . . Q . O W O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The Jûrokubango is still to come.


:tmbup: 042_G17G2 :tmbup:
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . . . . O . |
$$ | . . . . . X . O . . . X . . . W O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X . . . B B X X . O X X O X |
$$ | O . X . . . Q . O W O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The Jûrokubango has just been finished.




Type K3 #2

:ex: 044_K3 :ex:
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . W W . O . |
$$ | . . . . . X . O . . . X . . . B O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X . . . Q B X X . O X X O X |
$$ | O . X . . . . . O . O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
This is probably a "false positive". Now, BOTH nets win a lot of games with White.
The Jûrokubango had been done. Results were even at that time.




Type J3

:tmbup: 048_J3 :tmbup:
Click Here To Show Diagram Code
[go]$$Bc
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . B . . . O X . |
$$ | . . . . . . . X O O . X O B W . . O . |
$$ | . . . . . X . O . . . X W . . W O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X . X . . . . O X X . X X O O . |
$$ | . X . O . O . . . . . . X . X O . . . |
$$ | . O O O . . O O . . O O . O X . . Y . |
$$ | O . . X . . . . . . . . . . X X X X X |
$$ | . . . X . . . O . . O . X X X X O O O |
$$ | X O O , . X . . . O . X X O O O O X . |
$$ | X . . O X . . . . O . X O O O . X X X |
$$ | X . . O X . . . X O . X O O X X X O O |
$$ | X X . . X . . O . O . X O O O X X X O |
$$ | . O O X O X . . . O . X X O O O X O O |
$$ | . . X . . X . . . . X . O X X X O O O |
$$ | O X X , X . . O . W O O O X O X O O X |
$$ | . . . . O X . . Q B B X X . O X X O X |
$$ | O . X . . . . . O W O O O X O X . O X |
$$ | . X . . . . . . . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
This line is easier for Black than for White.
The Jûrokubango had been done.
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)
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Cassandra
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Re: The most difficult problem ever. Igo Hatsuyoron 120

Post by Cassandra »

Just before the end of the Crosscut-Sequence

The next opportunity for non-Main-Semeai solutions comes immediately before the final exchange to complete the Crosscut-Sequence in the upper left centre.

Black may already have reduced White's territory in the upper right corner to varying degrees.

Black may have dispensed with the forcing exchanges at the bottom and in the left centre.


Type E15

:tmbup: 082_Q17E15 :tmbup:
Click Here To Show Diagram Code
[go]$$c
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . X . . . O X . |
$$ | . . . . . . . X O O . X O X O . . O . |
$$ | . . . . . X . O . . . X O . . O O . . |
$$ | . X O , . . . . . O . X . O O X . . . |
$$ | . . X X Q X W O O . O X X . X X O O . |
$$ | . X . O W O B X X O . . X . X O . . . |
$$ | . O O O . B O O X X O O . O X . . Y . |
$$ | O . . X . B . O O X O . . . X X X X X |
$$ | . . . X . . . O X X O . X X X X O O O |
$$ | X O O , . X . O X O O X X O O O O X . |
$$ | X . . O X . . O X O . X O O O . X X X |
$$ | X . . O X . . O X O . X O O X X X O O |
$$ | X X . . X . . O X O . X O O O X X X O |
$$ | . O O X O X . O X O . X X O O O X O O |
$$ | . . X . . X . O X O X . O X X X O O O |
$$ | O X X , X . . O X O O O O X O X O O X |
$$ | . . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . W . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
This line is easier for White than for Black.
The Jûrokubango had been done.





Type E15 #2

:tmbup: 084_P18E15 :tmbup:
Click Here To Show Diagram Code
[go]$$c
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . X . . . O X . |
$$ | . . . . . . . X O O . X O O O O . O . |
$$ | . . . . . X . O . . . X X O . X O . . |
$$ | . X O , . . . . . O . X . O O B . . . |
$$ | . . X X Q X W O O . O X X . X X O O . |
$$ | . X . O W O B X X O . . X . X O . . . |
$$ | . O O O . B O O X X O O . O X . . Y . |
$$ | O . . X . B . O O X O . . . X X X X X |
$$ | . . . X . . . O X X O . X X X X X O O |
$$ | X O O , . X . O X O O X X O O O O O . |
$$ | X . . O X . . O X O . X O O O . X X X |
$$ | X . . O X . . O X O . X O O X X X O O |
$$ | X X . . X . . O X O . X O O O X X X O |
$$ | . O O X O X . O X O . X X O O O X O O |
$$ | . . X . . X . O X O X . O X X X O O O |
$$ | O X X , X . . O X O O O O X O X O O X |
$$ | . . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . W . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
This line is easier for White than for Black.
The Jûrokubango had been done.
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)
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User avatar
Cassandra
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Posts: 1331
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Re: The most difficult problem ever. Igo Hatsuyoron 120

Post by Cassandra »

During the formation of the Nakade

Even after completing the Crosscut-Sequence, non-Main-Semeai solutions are still possible. Black will already have played one or two moves that temporarily cut the white groups on the left edge for the potential formation of the Nakade.

Black may already have reduced White's territory in the upper right corner to varying degrees.

The Guzumi-Exchange in the top right may already have been played.


Type A6A11

:tmbup: 079086_A6A11 :tmbup:
Click Here To Show Diagram Code
[go]$$c
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . . . . X O O . X O . O . . O . |
$$ | . . . . . X . O . . . X Y . . . O . . |
$$ | . X O , . . . . . O . X . O O X . . . |
$$ | . . X X B X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | . O O O . X O O X X O O . O X . . X . |
$$ | O . . X . X . O O X O . . . X X X X X |
$$ | Q . . X . . . O X X O . X X X X O O O |
$$ | X O O , . X . O X O O X X O O O O X . |
$$ | X . . O X . . O X O . X O O O . X X X |
$$ | X . . O X . . O X O . X O O X X X O O |
$$ | X X W . X . . O X O . X O O O X X X O |
$$ | B O O X O X . O X O . X X O O O X O O |
$$ | B W X . . X . O X O X . O X X X O O O |
$$ | O X X , X . . O X O O O O X O X O O X |
$$ | W . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The Jûrokubango has just been finished.




Type A6B9

:tmbup: 083088_A6B9 :tmbup:
Click Here To Show Diagram Code
[go]$$c
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . Y . . . O X . |
$$ | . . . . . . . X O O . X O . O . . O . |
$$ | . . . . . X . O . . . X X O . . O . . |
$$ | . X O , . . . . . O . X . O O X . . . |
$$ | . . X X B X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . O . |
$$ | . O O O . X O O X X O O . O X . . X . |
$$ | O . . X . X . O O X O . . . X X X X X |
$$ | . . . X . . . O X X O . X X X X O O O |
$$ | X O O , . X . O X O O X X O O O O X . |
$$ | X Q . O X . . O X O . X O O O . X X X |
$$ | X . . O X . . O X O . X O O X X X O O |
$$ | X X W . X . . O X O . X O O O X X X O |
$$ | B O O X O X . O X O . X X O O O X O O |
$$ | B W X . . X . O X O X . O X X X O O O |
$$ | O X X , X . . O X O O O O X O X O O X |
$$ | W . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The Jûrokubango had been done.




Type F18A6

:tmbup: 088094_F18A6 :tmbup:
Click Here To Show Diagram Code
[go]$$c
$$ +---------------------------------------+
$$ | . . . . W . . . . . . . X . . . O X . |
$$ | . . . B B W . X O O . X O X O . . O . |
$$ | . . . B W X . O . . . X O . . O O . . |
$$ | . 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 . . . |
$$ | W O O O . X O O X X O O . O X . . Y . |
$$ | O B . X . X . O O X O . . . X X X X X |
$$ | W B . X . . . O X X O . X X X X O O O |
$$ | X O O , . X . O X O O X X O O O O X . |
$$ | X . . O X . . O X O . X O O O . X X X |
$$ | X . . O X . . O X O . X O O X X X O O |
$$ | X X O . X . . O X O . X O O O X X X O |
$$ | Q O O X O X . O X O . X X O O O X O O |
$$ | . . X . . X . O X O X . O X X X O O O |
$$ | O X X , X . . O X O O O O X O X O O X |
$$ | . . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The Jûrokubango had been done.




Type F18D7

086088_F18D7
Click Here To Show Diagram Code
[go]$$c
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . O X . |
$$ | . . . . B W . X O O . X O O O O . O . |
$$ | . . . . . X . O . . . X X . . X O . . |
$$ | . X O , . . . . . O . X . O O X . . . |
$$ | . . X X B X O O O . O X X . X X O O . |
$$ | . X . O O O X X X O . . X . X O . . . |
$$ | . O O O . X O O X X O O . O X . . Y . |
$$ | O . . X . X . O O X O . . . X X X X X |
$$ | W B . X . . . O X X O . X X X X O O O |
$$ | X O O , . X . O X O O X X O O O O X . |
$$ | X . . O X . . O X O . X O O O . X X X |
$$ | X . . O X . . O X O . X O O X X X O O |
$$ | X X W Q X . . O X O . X O O O X X X O |
$$ | . O O X O X . O X O . X X O O O X O O |
$$ | . . X . . X . O X O X . O X X X O O O |
$$ | O X X , X . . O X O O O O X O X O O X |
$$ | . . . . O X . O X X X X X . O X X O X |
$$ | O . X . . . X O O O O O O X O X . O X |
$$ | . X . . . . . O . . . . O X X X . O . |
$$ +---------------------------------------+[/go]
The Jûrokubango is still to come.
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)
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