Amazing test position!

General discussion about computer chess...
Jeremy Bernstein
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Real Name: Jeremy Bernstein
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Re: Amazing test position!

Post by Jeremy Bernstein » Sat Jun 12, 2010 12:47 pm

John Blake wrote:On my dual core laptop, Naum 4 is the only engine to find a draw (within 10 minutes).
Naum is a fantastic analysis engine and finds moves that Rybka, Stockfish and the IPPOs all miss. Two thumbs up. Alexander Naumov deserves your support.

Jeremy

Robert Flesher
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Real Name: Robert Flesher

Re: Amazing test position!

Post by Robert Flesher » Sat Jun 12, 2010 4:04 pm

45 -5.37 1:37:08 58966M Kc6 g1=Q Nxh4 Qc1 Nhf3 c3 dxc3 Qxc3+ Kd5 Qb3+ Ke4
Qb4+ Kd5 Qb7+ Kd6 Qe4 Kc5 Qe3+ Kd5 Qf4 Kd6 Qc1
Kd5 Qd1+ Ke6 Qd8 Kf5 Qd5 Kf4 Qd1 Kf5 Qc2+ Ke6 Qb1
Kd5 Qb4 Ke6 Qb6+ Kd5 Qb5+ Ke4 Qb7+ Kd4 Qg7 Ke4
Qf6 Ke3 Qd6 Ke4 Qc5 Kd3 Qb4 Ke3 Qa4 Nd4 Qa3+ Ke4
Qa8+ Kf4 Qa6 Ndf3 Qa4+ Ke3 Qb4

Nodes: 67260547651
Nodes/second: 10159364
Best move: Kc6
Ponder move: g1=Q
[/code][/quote]



Correct move, too bad Stockfish does not see the draw and understand the fortress![/quote]

What do you mean by "understand"? What do you mean by "see the draw"? :)

Stockfish has correctly solved the problem, and has done so without using tablebases or special knowledge of fortresses. I find that rather amazing![/quote]




I never said Stockfish finding kc6 was not amazing :o , but the score of -5.37 indicates that it still thinks black is winning. Therefore, it does not know this is a fortress position. However, it does prove that stockfish has an amazing search, and yes it solved the problem, just not for the right reasons. :mrgreen:

zullil
Posts: 82
Joined: Thu Jun 10, 2010 10:17 am
Real Name: Louis Zulli
Location: Pennsylvania, USA

Re: Amazing test position!

Post by zullil » Sat Jun 12, 2010 5:26 pm

Robert Flesher wrote:45 -5.37 1:37:08 58966M Kc6 g1=Q Nxh4 Qc1 Nhf3 c3 dxc3 Qxc3+ Kd5 Qb3+ Ke4
Qb4+ Kd5 Qb7+ Kd6 Qe4 Kc5 Qe3+ Kd5 Qf4 Kd6 Qc1
Kd5 Qd1+ Ke6 Qd8 Kf5 Qd5 Kf4 Qd1 Kf5 Qc2+ Ke6 Qb1
Kd5 Qb4 Ke6 Qb6+ Kd5 Qb5+ Ke4 Qb7+ Kd4 Qg7 Ke4
Qf6 Ke3 Qd6 Ke4 Qc5 Kd3 Qb4 Ke3 Qa4 Nd4 Qa3+ Ke4
Qa8+ Kf4 Qa6 Ndf3 Qa4+ Ke3 Qb4

Nodes: 67260547651
Nodes/second: 10159364
Best move: Kc6
Ponder move: g1=Q
[/code]


I never said Stockfish finding kc6 was not amazing :o , but the score of -5.37 indicates that it still thinks black is winning. Therefore, it does not know this is a fortress position. However, it does prove that stockfish has an amazing search, and yes it solved the problem, just not for the right reasons. :mrgreen:
It did solve the problem for the right reason. It determined the line of play that best avoided losing! For a score of 0.00, Stockfish could simply appeal to a precomputed tablebase for

8/8/2K4p/4N2k/8/2q2N2/8/8 w - - 0 4

BB+
Posts: 1484
Joined: Thu Jun 10, 2010 4:26 am

Re: Amazing test position!

Post by BB+ » Mon Jun 14, 2010 3:21 am

I will be shocked if any engine can solve this!
Every time this position comes up, I take pains to note that Patzer solved it a while back. See the blurb at http://www.rebel.nl/authors.htm

For my money, just getting an engine to give a draw score for 6k1/6P1/p6P/Pp6/1Pp5/4K3/8/8 w - - 0 0
is an accomplishment (as an "easy example" of something sort of like a fortress). Note that there aren't that many K-K pairs (less than 64*64), so a hash-solution is easily possible, but the fact that the search graph is not a tree (among other things) seems to preclude most engines from success.

zullil
Posts: 82
Joined: Thu Jun 10, 2010 10:17 am
Real Name: Louis Zulli
Location: Pennsylvania, USA

Re: Amazing test position!

Post by zullil » Mon Jun 14, 2010 3:32 am

BB+ wrote:
I will be shocked if any engine can solve this!
Every time this position comes up, I take pains to note that Patzer solved it a while back. See the blurb at http://www.rebel.nl/authors.htm

For my money, just getting an engine to give a draw score for 6k1/6P1/p6P/Pp6/1Pp5/4K3/8/8 w - - 0 0
is an accomplishment (as an "easy example" of something sort of like a fortress). Note that there aren't that many K-K pairs (less than 64*64), so a hash-solution is easily possible, but the fact that the search graph is not a tree (among other things) seems to preclude most engines from success.
Interesting about Patzer.

Stockfish-1.7.1 does give 0.00 for the posted position:

Code: Select all

Searching: 6k1/6P1/p6P/Pp6/1Pp5/4K3/8/8 w - -
infinite: 0 ponder: 0 time: 0 increment: 0 moves to go: 0
 2     +2.87   00:01       31 Kd4 Kh7 
 3     +2.59   00:01       84 Kd4 Kh7 Ke4 
 4     +2.34   00:01      206 Kd4 Kh7 Ke4 c3 
 4     +2.51   00:01      343 Ke4 c3 Kd3 c2 Kxc2 
 5     +1.86   00:01      725 Ke4 Kh7 Kd4 Kg8 Kc3 
 6     +2.34   00:01     1118 Ke4 Kh7 Kd4 Kg8 Kc3 Kh7 
 7     +2.87   00:01     2159 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kh7 Ke4 
 8  <  +2.10   00:01     3917 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kh7 Ke4 
 8     +2.87   00:01     4591 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kh7 Ke4 
 9  <  +2.10   00:01     4842 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kh7 Ke4 
 9     +2.87   00:01     5690 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kh7 Ke4 
10  <  +2.79   00:01     6309 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kh7 Ke4 
10  <  +2.71   00:01     7126 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kh7 Ke4 
10  <  +2.51   00:01     7856 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kh7 Ke4 
10  <  +2.22   00:01     8900 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kh7 Ke4 
10     +2.02   00:01    10932 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf3 Kh7 Kf4 Kg8 
11     +1.98   00:01    15159 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf3 Kh7 Ke2 Kg8 
                              Kd2 Kh7 Kc3 Kg8 
12     +1.98   00:01    17727 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf3 Kh7 Ke2 Kg8 
                              Kd2 Kh7 Kc3 Kg8 Kc2 Kh7 Kd2 Kg8 Kc3 Kh7 
13     +1.98   00:01    22755 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf3 Kh7 Ke2 Kg8 
                              Kd2 Kh7 Kc3 Kg8 Kc2 Kh7 Kd2 Kg8 Kc3 Kh7 
14  >  +2.07   00:01    26346 Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf3 Kh7 Ke2 Kg8 
                              Kd2 Kh7 Kc3 Kg8 Kd4 Kf7 Kc3 Kg8 
14     +1.98   00:01    28663 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf3 Kh7 Ke2 Kg8 
                              Kd2 Kh7 Kc3 Kg8 Kd4 Kf7 Kc3 Kg8 
15  >  +2.07   00:01    33096 Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf3 Kh7 Ke2 Kg8 
                              Kd2 Kh7 Ke2 
15     +1.98   00:01    37955 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf3 Kh7 Ke2 Kg8 
                              Kd2 Kh7 Kc3 Kg8 Kd4 Kf7 Kc3 Kg8 
16  >  +2.07   00:01    43632 Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kf7 Kc3 Kg8 
                              Kc2 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 Kc3 
16     +1.98   00:01    50242 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kc3 Kg8 Kc2 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kc3 
17  >  +2.07   00:01    56873 Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kd4 Kf7 Kc3 Kg8 
                              Kc2 Kh7 Kd2 Kg8 Ke2 Kf7 Kd2 Kg8 
17     +2.02   00:01    70735 Ke4 Kh7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf4 Kh7 Kf3 Kg8 
                              Ke2 Kf7 Kf2 Kg8 Kf3 Kf7 Kf4 Kg8 Kf3 
18  >  +2.10   00:01   128159 Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Ke4 Kg8 Kf4 Kh7 Kf5 c3 
                              Kf6 c2 Kf7 
18  >  +2.18   00:01   130010 Ke4 Kh7 Kf5 c3 Kf6 c2 Kf7 
18  <  +1.94   00:01   159613 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Ke1 Kh7 Kd2 Kg8 
                              Ke2 Kh7 Kf2 Kg8 Ke2 
18  >  +2.34   00:01   168891 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Ke1 Kh7 Kd2 Kg8 
                              Ke2 Kh7 Kf2 Kg8 Ke2 
18  >  +2.67   00:01   169978 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Ke1 Kh7 Kd2 Kg8 
                              Kc2 Kh7 Kd2 
18     +2.34   00:01   172904 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Ke1 Kh7 Kd2 Kg8 
                              Kc2 Kh7 Kc3 Kg8 Kd4 Kf7 Ke4 Kg8 Kd4 
19  <  +1.98   00:01   245362 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Ke1 Kh7 Kd2 Kg8 
                              Kc2 Kh7 Kc3 Kg8 h7+ Kxg7 
19     +2.02   00:01   271015 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Ke1 Kh7 Kd2 Kg8 
                              Kc2 Kh7 Kc3 Kg8 Kd4 Kf7 Ke4 Kg8 Kf5 Kf7 Kf4 Kg8 
                              Ke3 
20  >  +2.51   00:01   281819 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Ke1 Kh7 Kd2 Kg8 
                              Kc3 Kh7 Kc2 Kg8 Kd2 Kf7 Ke2 
20     +2.02   00:01   297604 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Ke1 Kh7 Kf2 Kg8 
                              Kf3 Kf7 Ke4 Kg8 Kf5 Kf7 Kf4 Kg8 Kf3 
21  >  +2.18   00:01   320954 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kf3 Kh7 Kf4 Kg8 
                              Kf5 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kh7 Ke1 Kg8 
                              Kd2 Kf7 Kc2 Kg8 Kd1 Kf7 Ke1 Kg8 
21  >  +2.40   00:01   321231 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kf3 Kh7 Kf4 Kg8 
                              Kf5 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kh7 Kd2 Kg8 
                              Kc2 Kh7 Kb2 Kg8 Kc3 Kh7 Kc2 Kg8 Kd1 Kf7 Ke1 Kg8 
                              Kd2 Kf7 Kc2 Kg8 
21  <  +1.86   00:01   363020 Ke4 Kf7 Kf3 Kg8 Ke2 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kd1 Kf7 Ke1 Kg8 Kd2 Kf7 Kc2 Kg8 
21  >  +2.67   00:01   408186 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kf3 Kh7 Kf4 Kg8 
                              Kf5 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kh7 Kd2 Kg8 
                              Kc3 Kh7 Kc2 Kg8 Kd2 Kf7 Kc2 Kg8 
21  <  +1.70   00:01   447731 Ke4 Kf7 Kf3 Kg8 Ke2 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kd2 Kf7 Kc2 Kg8 
21  <  +1.37   00:01   603196 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kf3 Kh7 Ke4 Kg8 
                              Kf4 Kf7 Kf3 Kg8 Kf4 
21     +2.42   00:01   656269 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kf3 Kh7 Ke4 Kg8 
                              Kf4 Kf7 Kf3 Kg8 Ke2 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kd2 Kh7 Kc3 Kg8 Kd4 Kf7 Kc3 Kg8 
22  >  +2.83   00:01   673684 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kf3 Kh7 Ke4 Kg8 
                              Kf4 Kf7 Kf3 Kg8 Ke2 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kd2 Kh7 Kc2 
22  <  +2.02   00:01   681055 Ke4 Kf7 Kf3 Kg8 Ke2 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kd2 Kh7 Kc2 
22  <  +1.62   00:01   811387 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kf3 Kh7 Ke4 Kg8 
                              Kf4 Kf7 Kf3 Kg8 Ke3 
22     +2.34   00:01   842397 Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kf3 Kf7 Ke4 Kg8 
                              Kf4 Kf7 Kf3 Kg8 Kf2 Kh7 Ke1 Kg8 Kd2 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 
23  <  +2.06   00:01   936471 Ke4 Kf7 Kf3 Kg8 Kf4 Kf7 Kf3 
23  <  +1.78   00:01    1091k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Kd4 
23  >  +2.66   00:01    1169k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc2 Kg8 
                              Kc1 Kh7 Kb2 Kg8 Kc2 Kh7 Kc3 Kg8 Kd2 
23     +2.34   00:01    1189k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc2 Kg8 
                              Kc1 Kh7 Kb2 Kg8 Kc2 Kh7 Kc3 Kg8 Kd4 Kf7 Ke4 Kg8 
                              Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kf2 Kg8 Ke1 Kh7 Ke2 Kg8 
24  >  +2.42   00:01    1219k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kf2 Kg8 
                              Ke1 Kh7 Kd2 Kg8 Kc3 Kh7 Kb2 Kg8 Kc2 Kh7 Kc3 
24  >  +2.51   00:01    1220k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 
                              Kc3 Kh7 Kb2 Kg8 Kc2 Kh7 Kc3 
24  >  +2.67   00:01    1220k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 
                              Kc3 Kh7 Kd2 Kg8 
24  <  +2.26   00:01    1299k Ke4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kc1 Kh7 Kb2 Kg8 Kc2 Kh7 Kd2 Kg8 
24  <  +2.18   00:01    1398k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf3 Kf7 Kf2 Kg8 Ke1 Kh7 Kf2 Kg8 
24  <  +2.02   00:01    1540k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 
                              Kc3 Kh7 Kc2 Kg8 Kc1 Kh7 Kb2 Kg8 Kc2 Kh7 Kd2 Kg8 
24  <  +1.70   00:01    1785k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 
                              Kc3 Kh7 Kc2 Kg8 Kc1 Kh7 Kb2 Kg8 Kc2 Kh7 Kd2 Kg8 
24  <  +1.05   00:01    2026k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 
                              Kc3 Kh7 Kc2 Kg8 Kc1 Kh7 Kb2 Kg8 Kc2 Kh7 Kd2 Kg8 
24     +1.05   00:01    2128k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 
                              Kc3 Kh7 Kc2 Kg8 Kc1 Kh7 Kb2 Kg8 Kc2 Kh7 Kd1 Kg8 
                              Ke1 Kh7 Kf2 Kg8 Kf3 Kf7 Ke2 
25     +2.02   00:01    2363k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 
                              Ke1 Kh7 Kf2 Kg8 Kf3 Kf7 Kf4 Kg8 Ke3 
25  >  +2.34   00:01    2368k Kd2 Kh7 Kc3 Kg8 Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 
                              Ke2 Kf7 Kd2 Kg8 Kc1 Kf7 Kc2 Kg8 Kb2 Kh7 Kb1 Kg8 
                              Kc2 Kh7 Kd2 Kg8 
26     +2.34   00:01    2839k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 
                              Kc1 Kf7 Kc2 Kg8 Kc3 Kh7 Kc2 Kg8 
27     +2.34   00:01    3342k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Ke2 Kg8 Kd2 Kh7 Kc3 Kg8 
                              Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 Ke2 Kf7 Kd2 Kg8 
                              Kc2 Kh7 Kb2 Kg8 Kc3 Kh7 Kc2 Kg8 Kd2 
28  <  +2.18   00:02    3795k Ke4 Kf7 Kf3 Kg8 Kf4 Kf7 Ke4 Kg8 Kf4 
28  <  +2.02   00:02    4225k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Kf4 Kg8 Kf3 Kf7 Ke4 Kg8 
                              Ke3 
28  <  +1.70   00:02    4686k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Kf4 Kg8 Kf3 Kf7 Ke4 Kg8 
                              Ke3 
28     +2.34   00:02    5334k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Kf4 Kg8 Kf3 Kf7 Ke4 Kg8 
                              Kf4 Kf7 Kf3 Kg8 Kf2 Kh7 Kf3 Kg8 
29  <  +2.26   00:02    5858k Ke4 Kf7 Kf3 Kg8 Kf2 Kh7 Ke2 Kg8 Ke1 Kh7 Kd2 Kg8 
                              Ke3 Kf7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
29  >  +2.42   00:02    6080k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Ke1 Kh7 Kd2 Kg8 Kc1 Kh7 Kd1 Kg8 Kd2 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 
                              Ke2 Kh7 Kd1 
29  >  +2.51   00:02    6094k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Ke1 Kh7 Kd2 Kg8 Kc1 Kh7 Kd1 Kg8 Kd2 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kc3 Kg8 
29     +2.42   00:02    6115k Ke4 Kf7 Kd4 Kg8 Ke3 Kf7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Ke1 Kh7 Kd2 Kg8 Kc1 Kh7 Kd1 Kg8 Kd2 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 Kg8 
                              Ke2 Kh7 Kd1 
30  <  +2.34   00:02    7129k Ke4 Kf7 Kf3 Kg8 Ke2 Kh7 Kd1 Kg8 Kd2 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kd4 Kf7 Ke4 Kg8 Kf4 Kf7 Kf3 
30  >  +2.51   00:02    7623k Kf4 Kf7 Ke4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc1 
30  >  +2.59   00:02    7785k Kf4 Kf7 Ke4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
30  <  +2.26   00:03    8620k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
30  <  +2.10   00:03    9236k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
30  <  +1.78   00:03   10046k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
30  <  +1.13   00:03   11557k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
30     +0.00   00:03   13347k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
31     +0.00   00:04   15074k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
32     +0.00   00:04   18437k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
33     +0.00   00:04   20652k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
34     +0.00   00:05   25722k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 
35     +0.00   00:06   31277k Ke4 Kf7 Kd4 Kg8 Ke3 Kh7 Kf4 Kg8 Kf3 Kf7 Ke2 Kg8 
                              Kd2 Kh7 Kd1 Kg8 Kc1 Kh7 Kd2 Kg8 Kc3 Kh7 Kc2 Kg8 
                              Kb2 Kh7 Kc3 Kg8 Kc2 Kf7 Kb2 Kg8 Kc3 

Nodes: 36846103
Nodes/second: 5515883
Best move: Ke4
Ponder move: Kf7

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