Life In 19x19

Posted: **Tue Nov 12, 2019 9:04 am**

Uberdude wrote:I think whole game tewari with my Elf hat on is a better judge than static positional judgement so here is a plausible sequence of play with my Elvish commentary.

That is how I have understood, from John and Bill, how professionals think. I find it a very interesting perspective that historical evaluation would give better insight than static evaluation and I'm impressed you can do it so well.

Posted: **Tue Nov 12, 2019 11:44 am**

Knotwilg wrote:
Uberdude wrote:I think whole game tewari with my Elf hat on is a better judge than static positional judgement so here is a plausible sequence of play with my Elvish commentary.
That is how I have understood, from John and Bill, how professionals think. I find it a very interesting perspective that historical evaluation would give better insight than static evaluation and I'm impressed you can do it so well.

It works best with this kind of peaceful fuseki-style opening in which I can apply the bot-style opening principles I've absorbed over the last few years so have reasonable confidence in my ability to predict whether Elf thinks moves are good or bad. I'm much less able to do that on more dynamic fighting positions like game 19.

Posted: **Tue Nov 12, 2019 12:15 pm**

Knotwilg wrote:
Uberdude wrote:I think whole game tewari with my Elf hat on is a better judge than static positional judgement so here is a plausible sequence of play with my Elvish commentary.
That is how I have understood, from John and Bill, how professionals think. I find it a very interesting perspective that historical evaluation would give better insight than static evaluation and I'm impressed you can do it so well.

I don't know about other professionals, but Takemiya has said that he relies upon shape, overconcentration, etc., because with his style of play he cannot rely upon counting territory. At least, early in the game.

Posted: **Wed Nov 13, 2019 11:33 am**

Kirby wrote:It’d be an interesting stat to see how the actual game results correlated with Elf’s assessment, aggregated across all of these games.

These are all pro games, so I wonder how often the end result matched up such that Elf’s favored player won.

I have shown the actual game winner in my discussion of all games through Game 17, which is as far as I have caught up with my discussions.

Posted: **Sat Nov 23, 2019 2:25 am**

Assuming area scoring with 7.5 pt. komi, after

Elf estimates a winrate of 90% (49.1k playouts) for one player. Which player is it?

It's White. White won the game by resignation.

The game is GoGoD 1969-01-29a, a Honinbo League game between Takagawa Shusaku (W) vs. Fujisawa Hideyuki. Komi was 4½ pts.

Click Here To Show Diagram Code: [go]$$Bcm17 White is ahead $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . . . . . . . . . . O X . . | $$ | . . O , . X . O . , . O . . . O X . . | $$ | . . . . . . . . . . . . . . . O X . . | $$ | . . . O . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . O . . . . | $$ | . . . . . . . . . . . . . . X X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . O O . . | $$ | . . . . . . . . . . . . . . X . X X . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

Both players were considered to be masters of the opening. According to Elf neither player has blundered so far. How did White (Takagawa) get so far ahead? Fujisawa simply made more, and larger, detectable errors (greater than 4%) than he did. 9 of Black's first 14 moves were errors, only 2 of White's first 13 moves were.

I think that

is a teachable moment.

Click Here To Show Diagram Code: [go]$$Bcm13 A textbook play $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . . . . . . . . . . . X . . | $$ | . . O , . X . O . , d . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . O . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . a . . . . . . X . . | $$ | . . O , . c . . . , . . . . . , . . . | $$ | . . . . O . b . . 1 . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

is a textbook play, and AFAIK, has appeared in some textbooks. According to the theory of the time, it was an ideal extension from the Black enclosure in the bottom right corner, threatening the jump to a or the checking extension to b. In addition it prevents White from making a double wing formation, a doubly ideal formation where White extends on both sides from the enclosure in the bottom left corner.

was the obvious play for both Takagawa and Fujisawa.

Elf thinks that it loses 8½% to par.

It is not even on Elf's radar. What play does Elf recommend? The Go Seigen/AI shoulder blow at c? Perhaps in a different whole board position. That's actually Elf's fourth choice. In this position Elf's top choice is the pincer at d.

Click Here To Show Diagram Code: [go]$$Bcm13 Elf's main variation for :b13: $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . . . . . . . . . . 3 B . . | $$ | . . O , . X . O . , 1 . . 4 . 2 . . . | $$ | . . . . . . . . . . . . . . . 5 . . . | $$ | . . . O . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . . . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

After

White plays the shoulder blow against

. The continuation is joseki. As a student of Takagawa, I do not see the improvement for Black, but this just shows how much the bots devalue the sides.

Another teachable moment occurred a few moves later.

Click Here To Show Diagram Code: [go]$$Wcm14 The solid connection loses 11½% $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . . . . . . . . . . 5 X . . | $$ | . . O , . X . O . , . . . . . 1 2 . . | $$ | . . . . . . . . . . . . . . . 3 6 . . | $$ | . . . O . . . . . . . . . . . . 4 . . | $$ | . . . . . . . . . . . . . . b . . a . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

The natural looking solid connection,

, loses 11½% to the AI kosumi at a. Once you see it, the kosumi looks like the obvious shape play, protecting against the push and cut, and exerting influence towards the side. It also prevents a push and cut if Black later plays the keima at b. A human blind spot. This was Fujisawa's largest mistake, BTW.

Elf's mainline after the kosumi

Click Here To Show Diagram Code: [go]$$Wcm20 Elf's mainline after :bc: $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . . 6 4 2 7 1 . . . O X . . | $$ | . . O , . X 8 O 5 3 . . . . . O X . . | $$ | . . . . . . . . . . . . . . . O . . . | $$ | . . . O . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . a . . B . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . 0 . 9 . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

is the usual extension when the keima at a is threatened. Black invades at

and takes territory with gote. Then White plays the shoulder blow at

. Black attacks with the boshi at

.

Click Here To Show Diagram Code: [go]$$Wcm20 Variation $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . 3 . . . . . . . . O X . . | $$ | . . O , . X . O . , 1 . . . . O X . . | $$ | . . . . . . . . . . . . . . . O . . . | $$ | . . . O . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . 2 . . B . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . 4 . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

If White extends a bit further with

, Black doees indeed reply with the keima,

. Then if

secures the top side,

builds an impressive moyo.

A string of errors

Click Here To Show Diagram Code: [go]$$Bcm19 Five mistakes in a row $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . . . . b . a . . . O X . . | $$ | . . O , . X . O . , . 4 . . . O X . . | $$ | . . . . . . . . . . . . . . . O 1 . . | $$ | . . . O . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . 2 . . . . | $$ | . . . . . . . . . . . . . . 5 3 . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

This game sequence shows both of Takagawa's errors, and three of Fujisawa's. We have already examined

.

is the double keima. The saying is, Don't let the double keima get away. Well, Elf thinks that it is a minor error, losing only 5½%. Elf prefers the third line extension at a, after which invades at b, with the same plan as above, after the kosumi.

seems normal, for Black to develop the right side moyo, but Elf thinks that it loses 9½%, making it Fujisawa's second largest error. Elf prefers to invade the top side, which is closer to becoming White territory. It seems to me that the bots prefer to make more compact moyos than the large scale moyos of the 20th century.

Elf's mainline for

Click Here To Show Diagram Code: [go]$$Bcm21 Pincer cum invasion $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . . . . . . 9 7 8 . O X . . | $$ | . . O , . X . W . , 1 . 4 . . O X . . | $$ | . . . . . . . . . . . . . . . O X . . | $$ | . . . O . 5 . 2 . . 3 . . . . . X . . | $$ | . . . . . . . . . . . . . . O . . . . | $$ | . . . . . . . 6 . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

pincers the

stone while also spoiling the chance for White to make a territorial moyo on the top side. Pushing through a small opening is usually strong, but if Black plays

at 25, White will top the tree at 23. White manages to make some territory with

, after which Black does push through with

.

is Takagawa's second error, according to Elf. It loses only 4½%, which is right at the the borderline, I think. Here is Elf's mainline variation for

Click Here To Show Diagram Code: [go]$$Wcm22 More territorial play $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . a . . 6 . 1 . . . O X . . | $$ | . . O , . X . O . , . . . . . O X . . | $$ | . . . . . . . . . . . . . . . O X . . | $$ | . . . O . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . O . . . . | $$ | . . . . . . . . . . . . . . . X . . . | $$ | . . . . . . . . . . . . . 2 . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . 5 . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . 3 4 . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

After

makes territory,

plays the double keima on the border of two moyos. Then White reduces the right side with

and

.

invades the top side before White can play at a. Again note how Elf cares more about almost territory than about the large scale White moyo on the left side.

in the game looks good, as a move on the border of moyos. However, after White plays

on the fourth line, Elf regards the top side as more urgent.

Elf's mainline for

Click Here To Show Diagram Code: [go]$$Bcm23 Invasion, running fight $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . 6 . . . . . . | $$ | . . . . X . 2 . . . 5 3 4 . . O X . . | $$ | . . O , . X . O . 1 . O . . . O X . . | $$ | . . . . . . 0 8 7 . . . . . . O X . . | $$ | . . . O . . . 9 . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . O . . . . | $$ | . . . . . . . . . . . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

invades the top side on the fourth line, after which both sides start to build a base on the third line.

attacks the two White stones, leading to a running fight.

Click Here To Show Diagram Code: [go]$$Bcm33 Invasion, running fight, continued $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . O . . . . . . | $$ | . . . . X . O . . . X X O . . O X . . | $$ | . . O , . X . O . X . O . . . O X . . | $$ | . . . 1 . . O O X . . . . . . O X . . | $$ | . . 2 O 3 . 4 X 7 . . . . . . . X . . | $$ | . . . . 5 . . 6 . . . . . . O . . . . | $$ | . . . . . . 8 . . a . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

-

lean on White's left side, and White pushes out into the center. Elf stops here, probably because of a low number of playouts. It seems to me that Black may push into the center at a.

Back to the game

Click Here To Show Diagram Code: [go]$$Wcm24 Small error $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . . . . . . . . . . O X . . | $$ | . . O , . X . O . , . O . . . O X . . | $$ | . . . . . . . . . . . . . . . O X . . | $$ | . . . O . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . O . . . . | $$ | . . . . . . . . . . . . . . X X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . 1 3 . . | $$ | . . . . . . . . . . . . . . 2 . X 4 . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

Elf regards

as a small error, losing 6% to simply replying at 26. Elf's mainline variation is of some interest.

Click Here To Show Diagram Code: [go]$$Bcm25 Simple response $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . . . . . . . . . . O X . . | $$ | . . O , . X . O . , . O . . . O X . . | $$ | . . . . . . . . . . . . . . . O X . . | $$ | . . . O . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . O . . . . | $$ | . . . . . . . . . . . . . . X X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . 8 . . 0 . O 1 . . | $$ | . . . . . . . . . 7 6 . . . . . X . . | $$ | . . O , . . . . . 5 4 . . . . 3 . . . | $$ | . . . . O . . . . X . . . . 2 X . . . | $$ | . . . . . . . . . . . 9 . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

is a standard tesuji is this corner situation. White follows with a normal shoulder blow at

. Black pushes up a couple of times, then slides underneath with

.

starts to solidify the White group and creates some eye potential.

Finally, how does Elf see the near future of the game after

?

Click Here To Show Diagram Code: [go]$$Wcm28 Elf's continuation $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . X . . . . . . . . . . . . . . . . | $$ | . . . . X . 3 . . . . . . . . O X . . | $$ | . . O , . X . O . , . O . . . O X . . | $$ | . . . . . . . . . . . . . . . O X . . | $$ | . . . O . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . O . . . . | $$ | . . . . . . . . . . . . . . X X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . . . . . . . . . . . 7 8 . . . | $$ | . . . . . . . . . . . . . . . 2 . . . | $$ | . . . . . . . . . . . . . 1 5 6 . . . | $$ | . . . . . . . . . . . . . . 4 O O . . | $$ | . . . . . . . . . . . . . . X . X X . | $$ | . . O , . . . . . , . . . . . , . . . | $$ | . . . . O . . . . X . . . . . X . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]

In the game Takagawa played

at 35, but Elf prefers the keima by 7%. (A third small error by Takagawa.) After

threatens the push and cut, White switches to the top side to secure some territory. Black, OC, pushes and cuts and secures a good bit of territory on the right side, while White gets some floating stones.

These last two diagrams illustrate a difficulty for me with bot recommendations, especially if the errors are small. In Elf's mainline Black's error secures a good bit of fourth line territory in exchange for a move on the top side and some floating stones, while the correct play allows White to make a nice group within Black's sphere of influence. It's almost as if you can tell the mistake because it leads to a better looking result.

Posted: **Sun Nov 24, 2019 12:29 am**

Elf thinks that it loses 8½% to par. It is not even on Elf's radar. What play does Elf recommend? The Go Seigen/AI shoulder blow at c? Perhaps in a different whole board position. That's actually Elf's fourth choice. In this position Elf's top choice is the pincer at d.

A pincer or a tsume?

Posted: **Mon Dec 26, 2022 11:14 am**

Life In 19x19

How is your positional judgement? Game 20

Re: How is your positional judgement? Game 20

Re: How is your positional judgement? Game 20

Re: How is your positional judgement? Game 20

Re: How is your positional judgement? Game 20

Re: How is your positional judgement? Game 20

Re: How is your positional judgement? Game 20

Re: How is your positional judgement? Game 20