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How make your own tournament under Fritz GUI:

  This is an instruction how make your own tournament under Fritz GUI:



1- To invite engine to the tournament (see step 4 for details )

2- Edit to modify the engine who invite (set up, opening book.... )

3- To use the same opening book for all engine in the tournament

4- Invite human if you or your friends want to play in the tournament against engine (or against each other )

5- To delete an engine that you selected

6- To use the same Hash for all engine during the tournament




1- choose your engine

2- choose your book, once you chose your book the name book is the right side here perfectv9.0.ctg ... If you didn 't chose a book you see No Book

3- opening different option (take a look at opening book help)

4- Uci engine option

5- If the engine could use EGTB or not during the tournament, if yes check Use tablebases

6- Hashtable size ... don 't put too much for blitz 64 or 128 Mo are enough under 10 mn games

7- The engine estimate Elo if you know 




1- Choose your time control for all engine for the game mn + s increment or give a fix time .

2- How many times the same tournament

3- Move limit to not go over ... here 400,500,600 moves are more than enough

4- permanent brain or not (note : permanent brain on single cpu is bad for eng tournament, on dual cpu this option should be better ) I recommend to not use it for single cpu

5- If you want start games from a given position ( French, English ,Bird, Ruy Lopez ....)

6- if your opening book learning is put on or not .

7- Choose the kind of tournament you would like they play

8- If engine should alternate color or not (exemple in an single eng vs eng tournament both engine will alternate and play with white and black , or if you prefer to put the same engine play white for 100 games .... )

9- Click to begin the engine tournament and you are done :-D

10- next human game ... In case you add yourself to play

11- to see results/scores and cross table.

SOME ADVICES:

- on single cpu , don't use the computer during the tournament ... (on dual cpu should be ok with multi task cpu)

- Don't put too much hash for the engine and for the Egtb

- make back up of all your original opening books. (you never know )

- You could stop a tournament and hours later continue the same tournament with open existing tournament and run/continue

- if you want to follow the results (to see what engine is winning or losing) just click on cross table .

-If you want to publish your results on your website click on publish ...your website name and folders to put it ... user and password .

A Basic Guide for setting up Winboard a UCI Chess Engine

 Winboard + UCI Chess Engine

Go back to

WinBoard

Below is a basic guide for setting up Winboard to use UCI chess engines via the Polyglot adapter. Winboard_X and the free UCI chess engine Rybka 2.2n2 are being used in the example.

************************************

Go to - 
http://www.ascotti.org/programming/chess/winboard_x.htm - and download Winboard_X (The latest version from Jan 29, 2006). Winboard_X is the regular Tim Mann's Winboard GUI with some modifications done to it. There is a Winboard_F with chess variants for download on the Internet but I use Winboard_X and I am using that version in this example.

If you desire to use Winboard_F information on it can be found here -
http://www.open-aurec.com/wbforum/viewtopic.php?t=49439


Here in my Program Files folder I have made a folder named Winboard_X and downloaded the Winboard_X zip file to it.





I have extracted the zip file contents to the same folder. The readme file contained in the zip file has information on the modifications that were done to the GUI.





Double-click the Winboard_X executable file and select 'Just view or edit game files' and click 'OK'.





Close all of the windows that opened. What is happening here is that we are allowing Winboard_X to create its winboard.ini file (shown in the graphic below). We will come back to the Winboard GUI in a moment.





In the Winboard_X folder I have made two additional folders. One named 'Polyglot' and one named 'Chess Engines'. In my personal set up I keep the Polyglot and Chess Engines folders in different locations but for ease of explanation I am putting them in the Winboard_X folder.





Go to - 
http://wbec-ridderkerk.nl/html/download.htm - and on the left-hand side of the page click the 'PolyGlot (UCI2WB)' link. On the page that opens, download the original version 'PolyGlot 1.4' zip file and the 'Cygwin1.dll' rar file to a temporary place on your computer,





and extract the files contents to the temporary place.





A note: Polyglot 1.4 needs the cygwin1.dll file to work. On the Polyglot download page you will see reference to:

"New: PolyGlot 1.4w (Fabien Letouzy, modified by Fonzy Bluemers!)"

This Fonzy Bluemers modified version of Polyglot functions on its own without the need of the cygwin1.dll file. So if you want, you can use the Fonzy Bluemers modified Polyglot version instead.


In the example, we have downloaded the original version of Polyglot and the cygwin1.dll file to a temporary folder, and have extracted both of the downloaded files to the same folder.

In the Cygwin1.dll folder, that is now in the temporary folder, move the cygwin1.dll file that is in the folder to the Polyglot folder that is located in the Winboard_X folder, and in the polyglot_14 folder move the polyglot exe file, and if you want the readme text file, to the Polyglot folder, too.

Below is what is now in Polyglot folder that is in the Winboard_X folder. (The remaining contents still in the temporary folder can be deleted, if desired.)





For an example chess engine to use, go to -
http://www.rybkachess.com/index.php?auswahl=Demo+version
- and download the free Rybka 2.2n2 zip file. Download the file and extract its contents to the 'Chess Engines' folder that is located in the Winboard_X folder.





Depending on which kind of operating system you have would determine which of the Rybka engines you use. I have a 32 bit operating system so I delete everything from the folder except the 32 bit version of Rybka.





Also of note is that this is a multi-processor version of Rybka. I have a single processor computer but no worries, the engine will run just fine in it too. Rybka does not come with an opening book so we will look at that later.

In the Chess Engines folder that is located in the Winboard_X folder I have now made a folder called 'Rybka 2.2n2'.





and I have moved the chess engine I am using in this example (Rybka 2.2n2) from the Chess Engines folder to that newly made 'Rybka 2.2n2' folder.





If you want you can also rename the Rybka exe file to a shorter name as I have done.





Now it is time to make a polyglot.ini file for the polyglot.exe file to use.


Go to the 
How to Make a Polyglot ini File Post for information on how the making of a polyglot.ini file is accomplished.


Move this newly made polyglot.ini file to the Polyglot folder that is in the Winboard_X folder.





At this point in the Polyglot folder I make another folder called Rybka 2.2n2, and I move the polyglot.exe file, the polyglot.ini file, and since it is being used, the cygwin1.dll file to this Rybka 2.2n2 folder. This is being done so that in the future if it is wished to add other UCI engines for use with the Winboard GUI, each engine can have its own folder in the Polyglot folder. Each chess engine would need to use its own separate polyglot.ini file.








Now since Rybka 2.2n2 does not come with an opening book we will download one and put it in the Rybka 2.2n2 folder where the chess engine is. The book could be saved to anywhere you want but for the example we will put it in the folder with the chess engine.

Go to - 
http://wbec-ridderkerk.nl/html/download.htm - and on the page will be seen:
"Some PolyGlot books made by: Marc Lacrosse!"
For the example we will download the performance.bin rar file and extract its contents to the Rybka 2.2n2 folder.

This is what is in the Rybka 2.2n2 chess engine folder now.





A note on the opening books used with Polyglot. The opening books to be used with Polyglot have a bin extension. These are the only opening books that Polyglot can use. Polyglot has the capability to make opening books and it can only use opening books that were made by it. Some UCI engines have their own opening books and do not require that a Polyglot book be used with them. Since Rybka in this example does not have the capability to use its own opening book you have to use a Polyglot book if using Rybka in conjunction with Polyglot - and if you want to use an opening book at all.

Another place on the Internet where Polyglot books can be downloaded is Guenther Simon's website here:

http://www.rwbc-chess.de/ - click the 'Downloads' link underneath the heading 'RWBC'.



We now have a downloaded opening book in Rybka's engine folder. So now we go to the Polyglot folder, and to its Rybka 2.2n2 folder, and open the polyglot.ini file with a text editor - opening it with notepad is fine.


In the below graphic the important part to show is that the path to the Polyglot book has been manually changed to point to the performance.bin opening book file that was put into the Rybka 2.2n2 folder. Notice the path points to the actual file itself and that the Book= entry above the BookFile= entry has been set to - true. If we were not using a Polyglot book we would set it as Book=false. Also notice in the EngineDir= entry that the path only leads to the 'folder' that the Rybka 2.2n2 engine file is in, and not the engine file itself.





Now go to the Winboard_X folder and open the winboard.ini file with a text editor.

Find the below entry shown in the graphic in the winboard.ini file. What is shown is the area where the path to the chess engine is set so that the Winboard GUI can communicate with the chess engine. Since Winboard cannot communicate with UCI engines we are using the Polyglot adapter to do the exchanging of communication between the chess engine and the Winboard GUI. The Polyglot exe file in turn uses the polyglot.ini file to know what command options to receive and send. So in this example case, instead of inputting the data for the chess engine's path as would be done for a normal Winboard chess engine. We input the data for the path to the Polyglot exe file.





This is the winboard.ini file with the data entered for pointing to the Rybka 2.2n2 chess engine. The Rybka data is actually one line, but I have word wrap selected in notepad.





This is the entry shown in the above graphic displayed as code -

Code:

}
/firstChessProgramNames={"Rybka 2.2n2" /fd="C:\Program Files\Winboard_X\Polyglot\Rybka 2.2n2" /fcp='polyglot'
}
/secondChessProgramNames={GNUChess
"GNUChes5 xboard"
}



A word about the above path entry structure that is shown in the above code and graphic. Winboard only understands certain syntax; I guess syntax is the correct word to use. Anyway the -

Code:

"Rybka 2.2n2" /fd="C:\Program Files\Winboard_X\Polyglot\Rybka 2.2n2" /fcp='polyglot'


- line has to be structured in a way that the Winboard GUI will understand, or it will not work. I figured out how to structure it by trial and error from what I read in the Winboard help file. Even though I structure it this way and it works for me, I have seen examples where other people structure some things differently than I do and I can only assume that the way they do it works for them. I do not have an explanation for this except maybe in cases where some things appear different, we are all still following certain guidelines that are established for Winboard.


Winboard_X does not come with a Winboard help file. To get a help file I had to download the original Winboard 4.2.7 from 
Tim Mann's website, install it and then copy, or move, the help file to my Winboard_X folder. Even though the 4.2.7 help file is not updated to the Winboard_X GUI, the information in it is still relevant.


These are the actual currently used chess engine entries for my winboard.ini file -

Code:

}
/firstChessProgramNames={"Delfi 5.3b - 1000 Elo" /fd="C:\Program Files\Chess\Chess Engines\Delfi\Delfi 5.3b" /fcp='DelfiT'
"Delfi 5.4 - 1500 Elo" /fd="C:\Program Files\Chess\Chess Engines\Delfi\Delfi 5.4" /fcp='DelfiT'
"Hiarcs 10 - 1250 Elo" /fd="C:\Program Files\Chess\Polyglot\Hiarcs\Hiarcs 10" /fcp='polyglot'
"Hiarcs 11.1 - 1500 Elo" /fd="C:\Program Files\Chess\Polyglot\Hiarcs\Hiarcs 11.1" /fcp='polyglot'
"ProDeo 1.6 UCI - Absolute Novice Player" /fd="C:\Program Files\Chess\Polyglot\ProDeo 1.6\Absolute Novice Player" /fcp='polyglot'
"ProDeo 1.6 UCI - Average Club Player" /fd="C:\Program Files\Chess\Polyglot\ProDeo 1.6\Average Club Player" /fcp='polyglot'
"ProDeo 1.6 UCI - Strong Club Player" /fd="C:\Program Files\Chess\Polyglot\ProDeo 1.6\Strong Club Player" /fcp='polyglot'
"Rybka 1.2f - 1500 Elo" /fd="C:\Program Files\Chess\Polyglot\Rybkas\Rybka 1.2f" /fcp='polyglot'
"Rybka 2.3.2a - 1500 Elo" /fd="C:\Program Files\Chess\Polyglot\Rybkas\Rybka 2.3.2a" /fcp='polyglot'
"Ufim 8.02 - 1500 Elo" /fd="C:\Program Files\Chess\Polyglot\Ufim 8.02" /fcp='polyglot'
}
/secondChessProgramNames={GNUChess
"GNUChes5 xboard"
}



Notice that the /secondChessProgramNames= field is left at the default entries in my winboard.ini file. In other words I have left the /secondChessProgramNames= section blank. That is because I don't play many chess engine versus chess engine games. If I do play any engine vs. engine matches then I would fill in the secondChessProgramNames= fields. If you want to play engine vs. engine matches with Winboard then you would fill in this area. Just it would use /sd and /scp where required instead of /fd and /fcp.


There are too many things about the entries in the winboard.ini file to be covered here but two things that can be done is for games played through the GUI to be saved to a Pgn file (You have to set the path to the actual pgn file), and with Winboard_X chess fonts can be used for the pieces instead of bitmaps. I have read where some people have problems with Winboard_X in using chess piece fonts with it but I have had no problem with using Chessbase's Fritz font with it, and other chess piece fonts can also be used with it instead.


Now go to the Winboard_X folder and double-click the winboard_x exe file. Make sure that "Play against a chess engine or match two engines" is selected. Since there is only one engine installed (Rybka 2.2n2) that is the one selected. Click the OK button.





One thing to do is to select 'Board' from the 'Options' menu and make sure 'Moderate' board size is selected. On my computer anyway the moderate board size fills the screen very well. I should note that I use a 800 x 600 screen resolution, so I don't know how things will look at higher resolutions - Maybe o.k., maybe not.





Then in the below example I go to 'Mode' in the menu and select 'Show Engine Output' and 'Show Move History'.





I then move the Engine Output and Move History windows to where I want them.





Go to 'Options > Time Control' to set the game times








To have Rybka play as the white pieces go to 'Mode > Machine White'





And here Rybka makes the first move





And going to 'Action > Abort' - I abort the game. If I wanted to play the actual game I would move one of the black pieces instead.








Two things especially to look at in the Winboard GUI not shown here would be 'Options > General' and 'Options > Engines'.


This is basically all the information I can give, it by no means covers everything. Further information can be found through self-discovery and through searching on the Internet or via a knowledgeable friend, and definitely through reading the documentation that comes with Polyglot, and Winboard (whichever version is being used).


***************************************************


Here is a visual representation of what the folder (directory) structure would look like if the above posting were followed.





Once it is learned that the paths in the polyglot.ini and winboard.ini files just need to point to the correct places, the folders can be kept pretty much wherever the person using them wants them to be.


This is how I have my folders structured.


 

Author:Charles Browne

Last edited by Charles Browne on Fri Nov 07, 2008

Frequency of the diferent Nalimov EGTB 6 men

 NALIMOV Endgame Tablebases‎ > ‎

Frequency of the diferent Nalimov EGTB 6 men

What are the most useful 6 piece tablebases?  take a look at the following recommendations based on a analysis of positions reached by humans and computers

Detailed analysis of 6-man frequencies.

Postby kasinp » Tue Jan 10, 2006 3:46 pm

I have completed an exhaustive search for all 6-man positions reached in two large databases. Sources:

- Big Database 2006 with updates until Jan ’06 for 3,216,177 games.
- SSDF database (Big and New) for 22,949 games.

I have found these sources to be generally consistent in determining the most frequently occurring 6-man positions:

a) Top three tablebases are the same (with no. 1 and 2 switching places).
b) Of the 30 most frequently occurring 6-man positions, 29 are the same in both sources.

That said, there are some key differences. In human games 6-man positions were found in only 198,884, or just 6.18 % of games. In contrast, comp-comp games reached 6-man positions in 9,926 of 22,949, representing 43.25% of all games.

Another difference is in the more even distribution of 6-man positions in comp-comp games. To illustrate: one would need only 42 TBs files to cover over 90% of cases occurring in human games. To reach the same 90% mark in comp-comp games one would need a set of 83 tablebases.

Details for Human games (3,216,177)

1 krppkr 27,902 14.029%
2 krpkrp 25,779 12.962%
3 kppkpp 19,150 9.629%
4 kpppkp 8,474 4.261%
5 kbpkpp 7,043 3.541%
6 krpkpp 6,966 3.503%
7 knpkpp 6,487 3.262%
8 kbpknp 5,389 2.710%
9 krpkbp 4,648 2.337%
10 kqpkpp 4,630 2.328%
11 kbppkb 3,680 1.850%
12 krppkp 3,529 1.774%
13 knppkn 3,528 1.774%
14 kbppkp 3,499 1.759%
15 knppkp 3,098 1.558%
16 krpknp 3,095 1.556%
17 knppkb 3,083 1.550%
18 knpknp 2,910 1.463%
19 kqpkqp 2,823 1.419%
20 kbpkbp 2,525 1.270%
21 kbppkn 2,514 1.264%
22 kqppkq 2,302 1.157%
23 kqppkp 2,240 1.126%
24 krbpkr 2,181 1.097%
25 kpppkr 2,168 1.090%
26 krbkrp 2,017 1.014%
27 kqpkrp 1,909 0.960%
28 krnpkr 1,875 0.943%
29 kbppkr 1,644 0.827%
30 krnkrp 1,555 0.782%
31 kqrkrp 1,521 0.765%
32 kpppkn 1,243 0.625%
33 knppkr 1,208 0.607%
34 kpppkb 1,124 0.565%
35 kpppkq 1,027 0.516%
36 krppkb 805 0.405%
37 krppkq 789 0.397%
38 krpppk 719 0.362%
39 kqrpkr 670 0.337%
40 krppkn 651 0.327%
41 kqpknp 549 0.276%
42 kqpkbp 531 0.267%
43 kbnpkr 494 0.248%
44 kqpppk 479 0.241%
45 kppppk 456 0.229%
46 kbnpkb 424 0.213%
47 kbpppk 416 0.209%
48 krrkrp 400 0.201%
49 kqbpkp 396 0.199%
50 kqrpkp 381 0.192%
51 krpkbn 379 0.191%
52 krrpkr 365 0.184%
53 krbpkp 345 0.173%
54 krbkrn 344 0.173%
55 kbnkbp 342 0.172%
56 kbnpkp 340 0.171%
57 kqrppk 327 0.164%
58 knpppk 323 0.162%
59 kqppkr 317 0.159%
60 krnpkp 316 0.159%
61 kbnkpp 310 0.156%
62 knppkq 295 0.148%
63 kqnpkp 288 0.145%
64 kqbppk 263 0.132%
65 kqrkpp 258 0.130%
66 kbppkq 256 0.129%
67 kbnpkn 244 0.123%
68 kqnkpp 235 0.118%
69 kqbkpp 231 0.116%
70 kqnkqp 224 0.113%
71 krbppk 223 0.112%
72 kqrkqp 216 0.109%
73 krnkpp 207 0.104%
74 kbbpkb 203 0.102%
75 krbkrb 193 0.097%
76 kqnppk 191 0.096%
77 krnppk 185 0.093%
78 krbkpp 183 0.092%
79 kqbkqp 179 0.090%
80 kqbpkq 178 0.089%
81 krnkrn 176 0.088%
82 kqnpkq 174 0.087%
83 kbnknp 171 0.086%
84 kqpkrb 170 0.085%
85 krbkbp 166 0.083%
86 kqrpkq 157 0.079%
87 kqpkrn 142 0.071%
88 krbpkb 138 0.069%
89 kqbpkb 136 0.068%
90 krnknp 134 0.067%
91 kbbpkr 132 0.066%
92 krbknp 131 0.066%
93 kqqpkp 128 0.064%
94 kqnpkb 127 0.064%
95 krbpkq 121 0.061%
96 knnpkp 121 0.061%
97 kqnpkn 118 0.059%
98 kqbkrp 117 0.059%
99 krnkbp 115 0.058%
100 krnpkq 113 0.057%
101 krnpkn 112 0.056%
102 kqpkrr 112 0.056%
103 kqppkb 111 0.056%
104 kbbkbp 110 0.055%
105 krbpkn 107 0.054%
106 kqqkqp 107 0.054%
107 kqppkn 106 0.053%
108 knnpkn 105 0.053%
109 krrpkq 101 0.051%
110 knnkpp 101 0.051%
111 kbnppk 96 0.048%
112 kqnknp 96 0.048%
113 knnpkb 95 0.048%
114 kqqppk 93 0.047%
115 kqrbpk 92 0.046%
116 krrppk 92 0.046%
117 kbbpkp 92 0.046%
118 kqbpkr 90 0.045%
119 kqrkqr 90 0.045%
120 kqnkbp 90 0.045%
121 krpknn 86 0.043%
122 knnknp 86 0.043%
123 kqnkrp 85 0.043%
124 krrpkp 83 0.042%
125 krnpkb 82 0.041%
126 knnpkr 78 0.039%
127 kqqpkq 77 0.039%
128 krrkrb 75 0.038%
129 kqrnpk 74 0.037%
130 kqbpkn 74 0.037%
131 krpkbb 69 0.035%
132 kqqkpp 68 0.034%
133 kqrkbp 65 0.033%
134 kbbknp 65 0.033%
135 kbbkpp 63 0.032%
136 krrkrn 61 0.031%
137 kqnpkr 58 0.029%
138 krrkpp 57 0.029%
139 kqbkbp 54 0.027%
140 kqrbkr 53 0.027%
141 kqbknp 53 0.027%
142 kqqkrp 52 0.026%
143 kqpkbn 49 0.025%
144 kqrnkr 48 0.024%
145 kqbnpk 46 0.023%
146 kqqbpk 41 0.021%
147 kbnpkq 41 0.021%
148 krbnkr 38 0.019%
149 krbkbn 38 0.019%
150 kbbpkn 37 0.019%
151 kbbppk 35 0.018%
152 kbbkbn 35 0.018%
153 kqrknp 34 0.017%
154 kbpknn 34 0.017%
155 kqrkrb 33 0.017%
156 krrkrr 33 0.017%
157 kqrkrn 30 0.015%
158 kqrbkp 28 0.014%
159 kqbkqn 28 0.014%
160 krrpkb 27 0.014%
161 kqrnkp 25 0.013%
162 kqbnkr 25 0.013%
163 krrpkn 24 0.012%
164 krrkbp 24 0.012%
165 krrknp 24 0.012%
166 knnppk 23 0.012%
167 kqrpkn 23 0.012%
168 krbnkq 23 0.012%
169 krnnkr 22 0.011%
170 kqbbpk 21 0.011%
171 krbnpk 21 0.011%
172 kqqnpk 20 0.010%
173 kqrkqb 20 0.010%
174 kqnkqn 20 0.010%
175 kbnkbn 20 0.010%
176 kqqrpk 18 0.009%
177 kqrkqn 18 0.009%
178 krbnkp 17 0.009%
179 kqrrpk 16 0.008%
180 kqbnkp 16 0.008%
181 kqqkqr 16 0.008%
182 kqqkbp 16 0.008%
183 krnkbn 16 0.008%
184 krrbpk 15 0.008%
185 kbbpkq 15 0.008%
186 kqpknn 13 0.007%
187 kqrrkr 12 0.006%
188 kqbbkb 12 0.006%
189 kqbnkb 12 0.006%
190 kqpkbb 12 0.006%
191 krbkbb 11 0.006%
192 kqrpkb 10 0.005%
193 kqbkrn 10 0.005%
194 kqqqpk 9 0.005%
195 kqqbkp 9 0.005%
196 kqrnkq 9 0.005%
197 kqbnkq 9 0.005%
198 kqqknp 9 0.005%
199 kqrkbn 9 0.005%
200 kqbkrb 9 0.005%
201 kbbkbb 9 0.005%
202 kqrbnk 8 0.004%
203 kqqnkq 8 0.004%
204 kqqpkr 8 0.004%
205 krbbkr 8 0.004%
206 knnpkq 8 0.004%
207 kqqkqq 8 0.004%
208 kqbkqb 8 0.004%
209 krnknn 8 0.004%
210 krbbpk 7 0.004%
211 kqqnkp 7 0.004%
212 krrbkp 7 0.004%
213 krrnkq 7 0.004%
214 krnnkq 7 0.004%
215 kbbnkb 7 0.004%
216 krrkbn 7 0.004%
217 krrnpk 6 0.003%
218 kbnnpk 6 0.003%
219 kqqpkb 6 0.003%
220 kqrnkb 6 0.003%
221 kqqkqb 6 0.003%
222 kqqkrr 6 0.003%
223 kqqkrb 6 0.003%
224 kqnkrn 6 0.003%
225 kqbnnk 5 0.003%
226 kqnnpk 5 0.003%
227 kqqpkn 5 0.003%
228 kqrbkb 5 0.003%
229 kqbnkn 5 0.003%
230 krrbkr 5 0.003%
231 kbbnkr 5 0.003%
232 kbnnkr 5 0.003%
233 kbnnkb 5 0.003%
234 kqrkrr 5 0.003%
235 kqqqqk 4 0.002%
236 kqqqrk 4 0.002%
237 kqqqkp 4 0.002%
238 kqqrkp 4 0.002%
239 kqrrkp 4 0.002%
240 kqnnkp 4 0.002%
241 krrbkq 4 0.002%
242 krrnkr 4 0.002%
243 krrnkp 4 0.002%
244 kqqkqn 4 0.002%
245 kqrknn 4 0.002%
246 kqnkrb 4 0.002%
247 kqnkbb 4 0.002%
248 kqnknn 4 0.002%
249 kqqqnk 3 0.002%
250 kqqrnk 3 0.002%
251 kqrrbk 3 0.002%
252 kqrnnk 3 0.002%
253 kqqrkr 3 0.002%
254 kqrrkq 3 0.002%
255 kqbbkr 3 0.002%
256 kqnnkn 3 0.002%
257 krbbkq 3 0.002%
258 kbbnkp 3 0.002%
259 kbnnkn 3 0.002%
260 kbnnkp 3 0.002%
261 krrknn 3 0.002%
262 kqqqbk 2 0.001%
263 kqqrbk 2 0.001%
264 kqqbnk 2 0.001%
265 kbbbbk 2 0.001%
266 kbbbpk 2 0.001%
267 kbbnpk 2 0.001%
268 kqqnkr 2 0.001%
269 kqrbkn 2 0.001%
270 kqrnkn 2 0.001%
271 kqbbkq 2 0.001%
272 kqbbkp 2 0.001%
273 kqnnkq 2 0.001%
274 kqnnkr 2 0.001%
275 krnnkp 2 0.001%
276 kbbnkn 2 0.001%
277 kqbkrr 2 0.001%
278 kqbkbb 2 0.001%
279 kqbkbn 2 0.001%
280 kqnkrr 2 0.001%
281 kqnkbn 2 0.001%
282 krnkbb 2 0.001%
283 kbbknn 2 0.001%
284 kbnknn 2 0.001%
285 kqrrnk 1 0.001%
286 kqrbbk 1 0.001%
287 krrrrk 1 0.001%
288 krrrpk 1 0.001%
289 krnnpk 1 0.001%
290 knnnnk 1 0.001%
291 knnnpk 1 0.001%
292 kqqqkb 1 0.001%
293 kqqrkb 1 0.001%
294 kqqbkq 1 0.001%
295 kqqbkb 1 0.001%
296 kqqnkb 1 0.001%
297 kqrrkb 1 0.001%
298 kqrbkq 1 0.001%
299 kqbbkn 1 0.001%
300 kqnnkb 1 0.001%
301 krrrkr 1 0.001%
302 krrbkn 1 0.001%
303 krbbkb 1 0.001%
304 krbbkn 1 0.001%
305 krbbkp 1 0.001%
306 krnnkn 1 0.001%
307 knnnkn 1 0.001%
308 kqqkrn 1 0.001%
309 kqrkbb 1 0.001%
310 krbknn 1 0.001%
311 kqqrrk - 0.000%
312 kqqbbk - 0.000%
313 kqqnnk - 0.000%
314 kqrrrk - 0.000%
315 kqbbbk - 0.000%
316 kqbbnk - 0.000%
317 kqnnnk - 0.000%
318 krrrbk - 0.000%
319 krrrnk - 0.000%
320 krrbbk - 0.000%
321 krrbnk - 0.000%
322 krrnnk - 0.000%
323 krbbbk - 0.000%
324 krbbnk - 0.000%
325 krbnnk - 0.000%
326 krnnnk - 0.000%
327 kbbbnk - 0.000%
328 kbbnnk - 0.000%
329 kbnnnk - 0.000%
330 kqqqkq - 0.000%
331 kqqqkr - 0.000%
332 kqqqkn - 0.000%
333 kqqrkq - 0.000%
334 kqqrkn - 0.000%
335 kqqbkr - 0.000%
336 kqqbkn - 0.000%
337 kqqnkn - 0.000%
338 kqrrkn - 0.000%
339 krrrkq - 0.000%
340 krrrkb - 0.000%
341 krrrkn - 0.000%
342 krrrkp - 0.000%
343 krrbkb - 0.000%
344 krrnkb - 0.000%
345 krrnkn - 0.000%
346 krbnkb - 0.000%
347 krbnkn - 0.000%
348 krnnkb - 0.000%
349 kbbbkq - 0.000%
350 kbbbkr - 0.000%
351 kbbbkb - 0.000%
352 kbbbkn - 0.000%
353 kbbbkp - 0.000%
354 kbbnkq - 0.000%
355 kbnnkq - 0.000%
356 knnnkq - 0.000%
357 knnnkr - 0.000%
358 knnnkb - 0.000%
359 knnnkp - 0.000%
360 kqqkbb - 0.000%
361 kqqkbn - 0.000%
362 kqqknn - 0.000%
363 kqbknn - 0.000%
364 krrkbb - 0.000%
365 knnknn - 0.000%

Details for Comp games (22,949):

1 krpkrp 1,148 11.566%
2 krppkr 690 6.951%
3 kppkpp 460 4.634%
4 kbpknp 299 3.012%
5 kbpkpp 289 2.912%
6 krpkpp 276 2.781%
7 kqppkp 265 2.670%
8 kpppkp 252 2.539%
9 kbpkbp 238 2.398%
10 krbkrp 219 2.206%
11 knpkpp 207 2.085%
12 krppkp 199 2.005%
13 krpkbp 199 2.005%
14 kbppkp 189 1.904%
15 kqpkqp 186 1.874%
16 kqpkpp 186 1.874%
17 krnkrp 178 1.793%
18 knpknp 156 1.572%
19 krbpkr 132 1.330%
20 knppkp 131 1.320%
21 krpknp 120 1.209%
22 kbppkb 116 1.169%
23 kqpkrp 108 1.088%
24 krnpkr 106 1.068%
25 knppkb 103 1.038%
26 kpppkr 100 1.007%
27 kqrpkr 96 0.967%
28 kqppkq 91 0.917%
29 kbppkr 91 0.917%
30 knppkn 84 0.846%
31 kqrkrp 84 0.846%
32 kbppkn 83 0.836%
33 kqbpkp 80 0.806%
34 kqrpkp 79 0.796%
35 krppkb 77 0.776%
36 kqqpkp 70 0.705%
37 kqpkbp 65 0.655%
38 krbpkp 59 0.594%
39 kqppkr 58 0.584%
40 knppkr 58 0.584%
41 krbkrn 56 0.564%
42 krppkn 55 0.554%
43 krppkq 53 0.534%
44 kpppkn 47 0.474%
45 kpppkb 45 0.453%
46 kqqppk 44 0.443%
47 krrkrp 44 0.443%
48 kqbppk 43 0.433%
49 kqpppk 43 0.433%
50 kqnpkp 42 0.423%
51 kqrppk 40 0.403%
52 krpppk 40 0.403%
53 kqpknp 39 0.393%
54 kbpppk 32 0.322%
55 krpkbn 32 0.322%
56 krbpkq 31 0.312%
57 kpppkq 31 0.312%
58 kqppkb 30 0.302%
59 krbpkb 30 0.302%
60 krbkbp 30 0.302%
61 krnpkp 28 0.282%
62 krbkrb 28 0.282%
63 krrpkr 27 0.272%
64 kbnpkp 26 0.262%
65 kqbkpp 26 0.262%
66 krbkpp 26 0.262%
67 kqbkqp 25 0.252%
68 kbppkq 23 0.232%
69 kqqkpp 22 0.222%
70 kqpkrr 22 0.222%
71 krnkbp 22 0.222%
72 kqqbpk 21 0.212%
73 kqrkpp 21 0.212%
74 kqnkqp 21 0.212%
75 krbppk 20 0.201%
76 krnpkq 20 0.201%
77 knppkq 20 0.201%
78 krnkrn 20 0.201%
79 krpkbb 20 0.201%
80 kqnppk 19 0.191%
81 kqbpkr 19 0.191%
82 kbnknp 19 0.191%
83 kqqkqp 18 0.181%
84 kqrkqp 18 0.181%
85 krbknp 18 0.181%
86 kbnkbp 18 0.181%
87 kbnkpp 18 0.181%
88 kqbpkb 17 0.171%
89 kqnpkb 17 0.171%
90 kbbkbp 17 0.171%
91 kqrbkr 16 0.161%
92 kqrbkp 16 0.161%
93 kqrnkr 16 0.161%
94 kqrpkb 16 0.161%
95 kbnpkb 16 0.161%
96 kqqpkq 15 0.151%
97 kbbpkb 15 0.151%
98 krnknp 15 0.151%
99 krnkpp 15 0.151%
100 kqbpkq 14 0.141%
101 kqnpkq 14 0.141%
102 krbpkn 14 0.141%
103 krnpkb 14 0.141%
104 kbnpkr 14 0.141%
105 kqrkrb 14 0.141%
106 kppppk 13 0.131%
107 kqbpkn 13 0.131%
108 kqnpkn 13 0.131%
109 kqppkn 13 0.131%
110 kqrkrn 13 0.131%
111 kqrbpk 12 0.121%
112 kqnpkr 12 0.121%
113 krrpkq 12 0.121%
114 krnpkn 12 0.121%
115 kqbkbp 12 0.121%
116 kqnkrp 12 0.121%
117 kqpkrn 12 0.121%
118 knpppk 11 0.111%
119 kqqpkr 11 0.111%
120 kbbpkr 11 0.111%
121 kbbpkp 11 0.111%
122 knnpkp 11 0.111%
123 kqbkrp 11 0.111%
124 krrkrr 11 0.111%
125 kqbknp 10 0.101%
126 kqnkbp 10 0.101%
127 kqnkpp 10 0.101%
128 kqqbkp 9 0.091%
129 kqrpkq 9 0.091%
130 krrkrb 9 0.091%
131 kbbknp 9 0.091%
132 kqbnpk 8 0.081%
133 krnppk 8 0.081%
134 kqrnkp 8 0.081%
135 kqrpkn 8 0.081%
136 kbnpkn 8 0.081%
137 kqqkrp 7 0.071%
138 kqnknp 7 0.071%
139 kqpkrb 7 0.071%
140 kqpkbn 7 0.071%
141 kbbkbn 7 0.071%
142 kqqrpk 6 0.060%
143 kqqnpk 6 0.060%
144 kqrnpk 6 0.060%
145 kbnppk 6 0.060%
146 krbnkr 6 0.060%
147 knnpkr 6 0.060%
148 kqqkbp 6 0.060%
149 kqrkbp 6 0.060%
150 kqbkqn 6 0.060%
151 krpknn 6 0.060%
152 kbpknn 6 0.060%
153 kbbppk 5 0.050%
154 kqqpkb 5 0.050%
155 krrpkp 5 0.050%
156 krrkrn 5 0.050%
157 krrkbp 5 0.050%
158 krrkpp 5 0.050%
159 knnknp 5 0.050%
160 knnkpp 5 0.050%
161 kqbbpk 4 0.040%
162 krbnkp 4 0.040%
163 knnpkb 4 0.040%
164 krnkbn 4 0.040%
165 kbbkpp 4 0.040%
166 kqqrkr 3 0.030%
167 kqqbkb 3 0.030%
168 kqqnkp 3 0.030%
169 kqrrkr 3 0.030%
170 kqrbkq 3 0.030%
171 kqrbkb 3 0.030%
172 krrbkr 3 0.030%
173 krrnkq 3 0.030%
174 kbbpkq 3 0.030%
175 kbbpkn 3 0.030%
176 kqqknp 3 0.030%
177 kqrkqr 3 0.030%
178 kqrkqb 3 0.030%
179 kqrknp 3 0.030%
180 kqbkqb 3 0.030%
181 kqbkrb 3 0.030%
182 kqpknn 3 0.030%
183 krbkbb 3 0.030%
184 krbkbn 3 0.030%
185 kbnknn 3 0.030%
186 krrbpk 2 0.020%
187 krrppk 2 0.020%
188 kqqpkn 2 0.020%
189 kqrrkp 2 0.020%
190 kqrnkq 2 0.020%
191 kqbbkb 2 0.020%
192 kqbbkp 2 0.020%
193 kqbnkp 2 0.020%
194 krrnkp 2 0.020%
195 krbbkr 2 0.020%
196 knnpkq 2 0.020%
197 kqqkqq 2 0.020%
198 kqrkrr 2 0.020%
199 kqbkbn 2 0.020%
200 kqnkrb 2 0.020%
201 kqnkbn 2 0.020%
202 krrkbn 2 0.020%
203 kqbnnk 1 0.010%
204 kqnnpk 1 0.010%
205 krrnpk 1 0.010%
206 krbnpk 1 0.010%
207 kbnnpk 1 0.010%
208 knnppk 1 0.010%
209 kqqqkr 1 0.010%
210 kqqnkn 1 0.010%
211 kqrbkn 1 0.010%
212 kqbbkr 1 0.010%
213 kqbnkq 1 0.010%
214 kqbnkb 1 0.010%
215 kqbnkn 1 0.010%
216 kqnnkq 1 0.010%
217 kqnnkr 1 0.010%
218 kqnnkb 1 0.010%
219 kqnnkp 1 0.010%
220 krrbkq 1 0.010%
221 krrnkn 1 0.010%
222 krrpkn 1 0.010%
223 krbbkb 1 0.010%
224 krbnkq 1 0.010%
225 krbnkb 1 0.010%
226 krnnkp 1 0.010%
227 kbbnkq 1 0.010%
228 kbbnkr 1 0.010%
229 kbbnkp 1 0.010%
230 kbnnkr 1 0.010%
231 kbnnkb 1 0.010%
232 kbnpkq 1 0.010%
233 knnpkn 1 0.010%
234 kqqkqr 1 0.010%
235 kqqkqb 1 0.010%
236 kqqkrb 1 0.010%
237 kqrkqn 1 0.010%
238 kqrkbn 1 0.010%
239 kqrknn 1 0.010%
240 kqbkrr 1 0.010%
241 kqnkqn 1 0.010%
242 kqnkrn 1 0.010%
243 kqpkbb 1 0.010%
244 krrknn 1 0.010%
245 krnkbb 1 0.010%
246 krnknn 1 0.010%
247 kbbknn 1 0.010%
248 kqqqqk - 0.000%
249 kqqqrk - 0.000%
250 kqqqbk - 0.000%
251 kqqqnk - 0.000%
252 kqqqpk - 0.000%
253 kqqrrk - 0.000%
254 kqqrbk - 0.000%
255 kqqrnk - 0.000%
256 kqqbbk - 0.000%
257 kqqbnk - 0.000%
258 kqqnnk - 0.000%
259 kqrrrk - 0.000%
260 kqrrbk - 0.000%
261 kqrrnk - 0.000%
262 kqrrpk - 0.000%
263 kqrbbk - 0.000%
264 kqrbnk - 0.000%
265 kqrnnk - 0.000%
266 kqbbbk - 0.000%
267 kqbbnk - 0.000%
268 kqnnnk - 0.000%
269 krrrrk - 0.000%
270 krrrbk - 0.000%
271 krrrnk - 0.000%
272 krrrpk - 0.000%
273 krrbbk - 0.000%
274 krrbnk - 0.000%
275 krrnnk - 0.000%
276 krbbbk - 0.000%
277 krbbnk - 0.000%
278 krbbpk - 0.000%
279 krbnnk - 0.000%
280 krnnnk - 0.000%
281 krnnpk - 0.000%
282 kbbbbk - 0.000%
283 kbbbnk - 0.000%
284 kbbbpk - 0.000%
285 kbbnnk - 0.000%
286 kbbnpk - 0.000%
287 kbnnnk - 0.000%
288 knnnnk - 0.000%
289 knnnpk - 0.000%
290 kqqqkq - 0.000%
291 kqqqkb - 0.000%
292 kqqqkn - 0.000%
293 kqqqkp - 0.000%
294 kqqrkq - 0.000%
295 kqqrkb - 0.000%
296 kqqrkn - 0.000%
297 kqqrkp - 0.000%
298 kqqbkq - 0.000%
299 kqqbkr - 0.000%
300 kqqbkn - 0.000%
301 kqqnkq - 0.000%
302 kqqnkr - 0.000%
303 kqqnkb - 0.000%
304 kqrrkq - 0.000%
305 kqrrkb - 0.000%
306 kqrrkn - 0.000%
307 kqrnkb - 0.000%
308 kqrnkn - 0.000%
309 kqbbkq - 0.000%
310 kqbbkn - 0.000%
311 kqbnkr - 0.000%
312 kqnnkn - 0.000%
313 krrrkq - 0.000%
314 krrrkr - 0.000%
315 krrrkb - 0.000%
316 krrrkn - 0.000%
317 krrrkp - 0.000%
318 krrbkb - 0.000%
319 krrbkn - 0.000%
320 krrbkp - 0.000%
321 krrnkr - 0.000%
322 krrnkb - 0.000%
323 krrpkb - 0.000%
324 krbbkq - 0.000%
325 krbbkn - 0.000%
326 krbbkp - 0.000%
327 krbnkn - 0.000%
328 krnnkq - 0.000%
329 krnnkr - 0.000%
330 krnnkb - 0.000%
331 krnnkn - 0.000%
332 kbbbkq - 0.000%
333 kbbbkr - 0.000%
334 kbbbkb - 0.000%
335 kbbbkn - 0.000%
336 kbbbkp - 0.000%
337 kbbnkb - 0.000%
338 kbbnkn - 0.000%
339 kbnnkq - 0.000%
340 kbnnkn - 0.000%
341 kbnnkp - 0.000%
342 knnnkq - 0.000%
343 knnnkr - 0.000%
344 knnnkb - 0.000%
345 knnnkn - 0.000%
346 knnnkp - 0.000%
347 kqqkqn - 0.000%
348 kqqkrr - 0.000%
349 kqqkrn - 0.000%
350 kqqkbb - 0.000%
351 kqqkbn - 0.000%
352 kqqknn - 0.000%
353 kqrkbb - 0.000%
354 kqbkrn - 0.000%
355 kqbkbb - 0.000%
356 kqbknn - 0.000%
357 kqnkrr - 0.000%
358 kqnkbb - 0.000%
359 kqnknn - 0.000%
360 krrkbb - 0.000%
361 krrknp - 0.000%
362 krbknn - 0.000%
363 kbbkbb - 0.000%
364 kbnkbn - 0.000%
365 knnknn - 0.000%

Cheers,
PK
 
 
-------------------------------------------------------------------------
Regards,
Dieter
TB: no of games (relative occurence in 3505657 games)

KRPKR: 46033 (1.31311%)
KRPKRP: 42006 (1.19823%)
KRPPKR: 37666 (1.07443%)
KPPKP: 33519 (0.95614%)
KPK: 26949 (0.76873%)
KPPKPP: 24837 (0.70848%)
KPKP: 19657 (0.56072%)
KQK: 19018 (0.54249%)
KRK: 17259 (0.49232%)
KRKP: 15806 (0.45087%)
KRKR: 14746 (0.42063%)
KPPPKP: 13953 (0.39801%)
KPPK: 13359 (0.38107%)
KRPKPP: 12889 (0.36766%)
KRPKP: 12454 (0.35525%)
KBPKP: 12178 (0.34738%)
KBPKPP: 11870 (0.33860%)
KK: 11790 (0.33631%)
KQPK: 11486 (0.32764%)
KQPKP: 10120 (0.28868%)
KBPKNP: 10085 (0.28768%)
KQKP: 10020 (0.28582%)
KPPKR: 9899 (0.28237%)
KRPPKP: 9820 (0.28012%)
KNPKPP: 9502 (0.27105%)
KRPK: 9498 (0.27093%)
KNPKP: 9009 (0.25698%)
KQPPKP: 8665 (0.24717%)
KRPKBP: 8658 (0.24697%)
KBPK: 8434 (0.24058%)
KBPPKP: 8205 (0.23405%)
KQPKPP: 8018 (0.22872%)
KBKP: 6440 (0.18370%)
KBPKBP: 6253 (0.17837%)
KQPKQ: 6230 (0.17771%)
KQPPK: 5962 (0.17007%)
KNKP: 5946 (0.16961%)
KNPPKP: 5892 (0.16807%)
KRPKNP: 5792 (0.16522%)
KNPK: 5602 (0.15980%)
KRBKRP: 5569 (0.15886%)
KBPPKB: 5551 (0.15834%)
KQPKQP: 5459 (0.15572%)
KBPKB: 5305 (0.15133%)
KRBPKR: 5273 (0.15041%)
KPPKQ: 5254 (0.14987%)
KRPPK: 5207 (0.14853%)
KNPKB: 4813 (0.13729%)
KNPKNP: 4791 (0.13666%)
KQBK: 4775 (0.13621%)
KQRKR: 4685 (0.13364%)
KBK: 4656 (0.13281%)
KQQK: 4631 (0.13210%)
KRNKRP: 4628 (0.13202%)
KQKR: 4614 (0.13162%)
KPPKN: 4564 (0.13019%)
KRPKB: 4549 (0.12976%)
KNPKN: 4524 (0.12905%)
KRBKR: 4489 (0.12805%)
KQRK: 4420 (0.12608%)
KNPPKN: 4337 (0.12371%)
KNPPKB: 4274 (0.12192%)
KBPKR: 4266 (0.12169%)
KPPKB: 4217 (0.12029%)
KNK: 4179 (0.11921%)
KQPKRP: 4159 (0.11864%)
KRNPKR: 4053 (0.11561%)
KPPPK: 3937 (0.11230%)
KPPPKR: 3894 (0.11108%)
KRKB: 3860 (0.11011%)
KQPPKQ: 3810 (0.10868%)
KBPPKN: 3778 (0.10777%)
KRNKR: 3772 (0.10760%)
KBPKN: 3744 (0.10680%)
KBPPKR: 3620 (0.10326%)
KRKN: 3554 (0.10138%)
KQRPK: 3550 (0.10126%)
KNPKR: 3324 (0.09482%)
KRPKN: 3323 (0.09479%)
KBPPK: 3269 (0.09325%)
KQKQ: 3142 (0.08963%)
KQRKRP: 3102 (0.08849%)
KQPKR: 3099 (0.08840%)
KQRPKR: 3088 (0.08809%)
KRPKQ: 3086 (0.08803%)
KQNK: 2997 (0.08549%)
KRPPKB: 2778 (0.07924%)
KQBPK: 2766 (0.07890%)
KQQPK: 2734 (0.07799%)
KQBPKP: 2660 (0.07588%)
KNPPKR: 2652 (0.07565%)
KQRPKP: 2581 (0.07362%)
KNPPK: 2311 (0.06592%)
KPPPKN: 2101 (0.05993%)
KRPPKN: 2050 (0.05848%)
KPPPKB: 1975 (0.05634%)
KRPPKQ: 1965 (0.05605%)
KBKN: 1948 (0.05557%)
KQKN: 1909 (0.05445%)
KRBK: 1874 (0.05346%)
KRBPKP: 1849 (0.05274%)
KQQPKP: 1836 (0.05237%)
KQRKP: 1780 (0.05078%)
KQPKBP: 1765 (0.05035%)
KPPPKQ: 1762 (0.05026%)
KRBPK: 1751 (0.04995%)
KQNPK: 1700 (0.04849%)
KQPPKR: 1696 (0.04838%)
KQBKP: 1599 (0.04561%)
KQPKNP: 1582 (0.04513%)
KQKB: 1546 (0.04410%)
KRRKRP: 1436 (0.04096%)
KQNPKP: 1411 (0.04025%)
KRRPKR: 1355 (0.03865%)
KRBKRN: 1341 (0.03825%)
KNPKQ: 1276 (0.03640%)
KBPKQ: 1266 (0.03611%)
KRPKBN: 1258 (0.03588%)
KNKN: 1252 (0.03571%)
KQQKP: 1237 (0.03529%)
KRNK: 1220 (0.03480%)
KQPKN: 1174 (0.03349%)
KRBKP: 1173 (0.03346%)
KBNK: 1165 (0.03323%)
KRNPKP: 1116 (0.03183%)
KQPKB: 1115 (0.03181%)
KQRKPP: 1101 (0.03141%)
KBNPKR: 1062 (0.03029%)
KBKB: 1031 (0.02941%)
KRNPK: 1017 (0.02901%)
KQNKP: 963 (0.02747%)
KRRKR: 940 (0.02681%)
KRBKPP: 910 (0.02596%)
KRBKBP: 905 (0.02582%)
KBNKP: 894 (0.02550%)
KBNPKP: 839 (0.02393%)
KRNKP: 819 (0.02336%)
KQBKPP: 809 (0.02308%)
KRBPKB: 782 (0.02231%)
KQRBK: 781 (0.02228%)
KBPPKQ: 764 (0.02179%)
KNPPKQ: 735 (0.02097%)
KBNKR: 723 (0.02062%)
KQBKQP: 722 (0.02060%)
KRBKRB: 712 (0.02031%)
KQPPKB: 702 (0.02002%)
KRNKPP: 700 (0.01997%)
KBNPKB: 693 (0.01977%)
KQNKQP: 682 (0.01945%)
KQBPKB: 677 (0.01931%)
KRBPKQ: 662 (0.01888%)
KQPPKN: 653 (0.01863%)
KQPKRR: 650 (0.01854%)
KRBKNP: 633 (0.01806%)
KBNPK: 622 (0.01774%)
KBNKPP: 608 (0.01734%)
KRBKB: 604 (0.01723%)
KRNKBP: 593 (0.01692%)
KQNKQ: 590 (0.01683%)
KQNKPP: 584 (0.01666%)
KQPKRB: 576 (0.01643%)
KBNKBP: 572 (0.01632%)
KQQBK: 564 (0.01609%)
KQRKB: 550 (0.01569%)
KRNKRN: 549 (0.01566%)
KQQKPP: 548 (0.01563%)
KRNKNP: 539 (0.01538%)
KRNPKQ: 526 (0.01500%)
KQBKQ: 514 (0.01466%)
KQBPKQ: 512 (0.01460%)
KQBPKR: 510 (0.01455%)
KQRNK: 506 (0.01443%)
KRBPKN: 500 (0.01426%)
KQRKQP: 500 (0.01426%)
KQQKQ: 495 (0.01412%)
KRRPKP: 489 (0.01395%)
KQBKRP: 489 (0.01395%)
KQNPKB: 489 (0.01395%)
KRRPK: 468 (0.01335%)
KRRK: 463 (0.01321%)
KBNKNP: 451 (0.01286%)
KQPKRN: 451 (0.01286%)
KQNPKQ: 448 (0.01278%)
KRBKN: 445 (0.01269%)
KRNPKB: 444 (0.01267%)
KQRPKB: 438 (0.01249%)
KQBPKN: 436 (0.01244%)
KRBKQ: 430 (0.01227%)
KQRBKR: 424 (0.01209%)
KBNKB: 419 (0.01195%)
KBBPKP: 409 (0.01167%)
KNNKP: 406 (0.01158%)
KBBK: 406 (0.01158%)
KBNPKN: 403 (0.01150%)
KQBKR: 400 (0.01141%)
KQRKQ: 397 (0.01132%)
KRRPKQ: 393 (0.01121%)
KRNKB: 385 (0.01098%)
KQBKB: 379 (0.01081%)
KBBPKB: 379 (0.01081%)
KQNPKR: 371 (0.01058%)
KBNKN: 368 (0.01050%)
KQRPKQ: 367 (0.01047%)
KQQNK: 365 (0.01041%)
KQRKBP: 362 (0.01033%)
KRNKN: 360 (0.01027%)
KQBKBP: 360 (0.01027%)
KRRKRB: 359 (0.01024%)
KRNPKN: 359 (0.01024%)
KRPKBB: 358 (0.01021%)
KBBPKR: 357 (0.01018%)
KQRNKR: 357 (0.01018%)
KQRBKP: 353 (0.01007%)
KRNKQ: 349 (0.00996%)
KRRKQ: 345 (0.00984%)
KBBKBP: 344 (0.00981%)
KQBNK: 339 (0.00967%)
KQRKN: 336 (0.00958%)
KBBKP: 319 (0.00910%)
KQNKR: 308 (0.00879%)
KQNPKN: 308 (0.00879%)
KQNKRP: 304 (0.00867%)
KQQKQP: 302 (0.00861%)
KBBPK: 296 (0.00844%)
KQQPKQ: 293 (0.00836%)
KRRKRR: 293 (0.00836%)
KQNKB: 292 (0.00833%)
KRPKNN: 292 (0.00833%)
KRRKP: 290 (0.00827%)
KRRKPP: 290 (0.00827%)
KQNKBP: 287 (0.00819%)
KQBKNP: 285 (0.00813%)
KQBKN: 281 (0.00802%)
KQRPKN: 273 (0.00779%)
KRRKRN: 256 (0.00730%)
KQRKRB: 256 (0.00730%)
KQQKR: 254 (0.00725%)
KQQRK: 246 (0.00702%)
KBBKPP: 244 (0.00696%)
KQNKN: 242 (0.00690%)
KNNKPP: 242 (0.00690%)
KQRKRN: 242 (0.00690%)
KQRKNP: 237 (0.00676%)
KBBKB: 237 (0.00676%)
KQNKNP: 236 (0.00673%)
KBBKR: 229 (0.00653%)
KNNPKP: 220 (0.00628%)
KQQBKP: 218 (0.00622%)
KNNK: 214 (0.00610%)
KBNKQ: 195 (0.00556%)
KQQKN: 194 (0.00553%)
KQRNKP: 190 (0.00542%)
KBBKNP: 187 (0.00533%)
KNNKNP: 186 (0.00531%)
KQQPKR: 185 (0.00528%)
KQQKRP: 184 (0.00525%)
KQBBK: 180 (0.00513%)
KNNPKR: 180 (0.00513%)
KNNKR: 177 (0.00505%)
KBBKN: 170 (0.00485%)
KRBKBN: 166 (0.00474%)
KQPKBN: 166 (0.00474%)
KRBNKR: 163 (0.00465%)
KQRKQR: 155 (0.00442%)
KBNPKQ: 154 (0.00439%)
KBBPKN: 154 (0.00439%)
KRRKBP: 151 (0.00431%)
KNNPKN: 149 (0.00425%)
KBBKBN: 146 (0.00416%)
KQBKQN: 141 (0.00402%)
KNNPK: 139 (0.00397%)
KQQKB: 137 (0.00391%)
KNNPKB: 137 (0.00391%)
KRRKNP: 135 (0.00385%)
KQBNKP: 133 (0.00379%)
KQQPKN: 131 (0.00374%)
KQRRK: 118 (0.00337%)
KRRPKB: 116 (0.00331%)
KQQNKP: 114 (0.00325%)
KQQPKB: 113 (0.00322%)
KBPKNN: 111 (0.00317%)
KRRPKN: 109 (0.00311%)
KQBNKR: 103 (0.00294%)
KNNKN: 103 (0.00294%)
KQRRKR: 101 (0.00288%)
KQQRKP: 95 (0.00271%)
KRNKBN: 94 (0.00268%)
KQQRKR: 93 (0.00265%)
KRBNKQ: 91 (0.00260%)
KQRBKB: 85 (0.00242%)
KQBKRB: 84 (0.00240%)
KRBNKP: 83 (0.00237%)
KQQKBP: 82 (0.00234%)
KRBNK: 82 (0.00234%)
KQBNKB: 81 (0.00231%)
KRRKN: 78 (0.00222%)
KQQKNP: 77 (0.00220%)
KQRKQB: 77 (0.00220%)
KNNKQ: 76 (0.00217%)
KRRKB: 71 (0.00203%)
KQBBKP: 69 (0.00197%)
KQRKQN: 68 (0.00194%)
KBBPKQ: 66 (0.00188%)
KRBKBB: 65 (0.00185%)
KQNNK: 64 (0.00183%)
KBNKBN: 63 (0.00180%)
KQNKRB: 63 (0.00180%)
KQRRKP: 61 (0.00174%)
KBBKQ: 61 (0.00174%)
KQPKNN: 57 (0.00163%)
KQRKBN: 57 (0.00163%)
KQPKBB: 56 (0.00160%)
KRRBKR: 56 (0.00160%)
KNNKB: 55 (0.00157%)
KQRNKQ: 55 (0.00157%)
KQQBKB: 55 (0.00157%)
KQNKQN: 54 (0.00154%)
KRNNKR: 53 (0.00151%)
KQBKQB: 52 (0.00148%)
KQQKRB: 51 (0.00145%)
KQBBKR: 48 (0.00137%)
KQRKRR: 48 (0.00137%)
KRRBKP: 45 (0.00128%)
KQRBKN: 44 (0.00126%)
KRRNK: 44 (0.00126%)
KQQKRR: 43 (0.00123%)
KQNKRN: 43 (0.00123%)
KQBKRN: 43 (0.00123%)
KQRNKB: 42 (0.00120%)
KRNKBB: 41 (0.00117%)
KNNPKQ: 41 (0.00117%)
KQQQK: 40 (0.00114%)
KQRBKQ: 40 (0.00114%)
KRRBK: 40 (0.00114%)
KRRNKR: 40 (0.00114%)
KQQBKN: 39 (0.00111%)
KQQKQB: 38 (0.00108%)
KBNKNN: 37 (0.00106%)
KQNKBN: 35 (0.00100%)
KRRBKQ: 34 (0.00097%)
KQBBKB: 34 (0.00097%)
KRRNKQ: 34 (0.00097%)
KRBBKR: 33 (0.00094%)
KQBNKN: 33 (0.00094%)
KQQNKB: 33 (0.00094%)
KQQKQN: 31 (0.00088%)
KRBKNN: 30 (0.00086%)
KQQBKQ: 30 (0.00086%)
KQQKRN: 30 (0.00086%)
KQQNKN: 29 (0.00083%)
KBBNKR: 29 (0.00083%)
KRRNKP: 28 (0.00080%)
KQBNKQ: 28 (0.00080%)
KRRKBN: 27 (0.00077%)
KQRKBB: 27 (0.00077%)
KRNKNN: 26 (0.00074%)
KQQKQR: 26 (0.00074%)
KQQBKR: 25 (0.00071%)
KQQNKQ: 25 (0.00071%)
KQRNKN: 24 (0.00068%)
KBBNK: 24 (0.00068%)
KRBBKP: 23 (0.00066%)
KQNNKP: 23 (0.00066%)
KRBBK: 22 (0.00063%)
KQBKRR: 22 (0.00063%)
KQNKRR: 22 (0.00063%)
KRNNKQ: 21 (0.00060%)
KQQRKB: 21 (0.00060%)
KQRRKQ: 21 (0.00060%)
KBBKNN: 20 (0.00057%)
KRBNKB: 20 (0.00057%)
KQQKQQ: 20 (0.00057%)
KQBBKN: 19 (0.00054%)
KRBNKN: 19 (0.00054%)
KQQNKR: 19 (0.00054%)
KBNNKR: 18 (0.00051%)
KRBBKQ: 18 (0.00051%)
KRNNK: 18 (0.00051%)
KQBKBN: 17 (0.00048%)
KBBKBB: 16 (0.00046%)
KRNNKP: 16 (0.00046%)
KQNKNN: 15 (0.00043%)
KBBNKB: 14 (0.00040%)
KQBKBB: 14 (0.00040%)
KQNNKR: 13 (0.00037%)
KQNNKN: 13 (0.00037%)
KQRKNN: 13 (0.00037%)
KBBNKP: 12 (0.00034%)
KQQRKN: 12 (0.00034%)
KBNNK: 12 (0.00034%)
KQNKBB: 11 (0.00031%)
KNNKNN: 11 (0.00031%)
KQQQKP: 11 (0.00031%)
KBNNKB: 11 (0.00031%)
KQQKBN: 11 (0.00031%)
KRRKNN: 10 (0.00029%)
KQRRKB: 9 (0.00026%)
KQBBKQ: 8 (0.00023%)
KQNNKQ: 8 (0.00023%)
KRBBKN: 8 (0.00023%)
KRRKBB: 8 (0.00023%)
KRBBKB: 7 (0.00020%)
KQNNKB: 7 (0.00020%)
KBBNKQ: 7 (0.00020%)
KRRBKB: 7 (0.00020%)
KBNNKP: 7 (0.00020%)
KRRRKR: 6 (0.00017%)
KRRNKN: 6 (0.00017%)
KRRRK: 6 (0.00017%)
KBBNKN: 6 (0.00017%)
KQRRKN: 6 (0.00017%)
KRNNKN: 6 (0.00017%)
KQBKNN: 6 (0.00017%)
KQQRKQ: 6 (0.00017%)
KBNNKQ: 6 (0.00017%)
KRRBKN: 5 (0.00014%)
KBNNKN: 5 (0.00014%)
KQQKNN: 4 (0.00011%)
KRNNKB: 4 (0.00011%)
KQQKBB: 4 (0.00011%)
KRRNKB: 2 (0.00006%)
KQQQKQ: 2 (0.00006%)
KQQQKB: 2 (0.00006%)
KNNNK: 2 (0.00006%)
KNNNKQ: 1 (0.00003%)
KRRRKB: 1 (0.00003%)
KRRRKN: 1 (0.00003%)
KRRRKP: 1 (0.00003%)
KQQQKN: 1 (0.00003%)
KBBBKB: 1 (0.00003%)
KNNNKN: 1 (0.00003%)
KBBBK: 1 (0.00003%)
KNNNKR: 0 (0.00000%)
KNNNKB: 0 (0.00000%)
KBBBKN: 0 (0.00000%)
KNNNKP: 0 (0.00000%)
KBBBKQ: 0 (0.00000%)
KBBBKP: 0 (0.00000%)
KRRRKQ: 0 (0.00000%)
KQQQKR: 0 (0.00000%)
KBBBKR: 0 (0.00000%)

Summary for 3505657 games
1-1 : 11790 (0.33631%)
2 pieces: 11790 (0.33631%)
2-1 : 61496 (1.75419%)
3 pieces: 61496 (1.75419%)
2-2 : 83583 (2.38423%)
3-1 : 51948 (1.48183%)
4 pieces: 135531 (3.86607%)
3-2 : 206714 (5.89658%)
4-1 : 27939 (0.79697%)
5 pieces: 234653 (6.69355%)
3-3 : 179984 (5.13410%)
4-2 : 157138 (4.48241%)
5-1 : 14997 (0.42779%)
6 pieces: 352119 (10.04431%)
4-3 : 396530 (11.31115%)
5-2 : 78719 (2.24548%)
6-1 : 7458 (0.21274%)
7 pieces: 482707 (13.76937%)
4-4 : 313900 (8.95410%)
5-3 : 270089 (7.70438%)
6-2 : 34324 (0.97910%)
7-1 : 3420 (0.09756%)
8 pieces: 621733 (17.73513%)
5-4 : 623123 (17.77479%)
6-3 : 125705 (3.58578%)
7-2 : 14237 (0.40612%)
8-1 : 1311 (0.03740%)
9 pieces: 764376 (21.80407%)
5-5 : 474357 (13.53119%)
6-4 : 390033 (11.12582%)
7-3 : 49278 (1.40567%)
8-2 : 5440 (0.15518%)
9-1 : 487 (0.01389%)
10 pieces: 919595 (26.23174%)
6-5 : 888129 (25.33417%)
7-4 : 167535 (4.77899%)
8-3 : 17887 (0.51023%)
9-2 : 1892 (0.05397%)
10-1 : 169 (0.00482%)
11 pieces: 1075612 (30.68218%)
6-6 : 672258 (19.17638%)
7-5 : 513980 (14.66145%)
8-4 : 58771 (1.67646%)
9-3 : 5944 (0.16955%)
10-2 : 630 (0.01797%)
11-1 : 60 (0.00171%)
12 pieces: 1251643 (35.70352%)
7-6 : 1202785 (34.30983%)
8-5 : 202273 (5.76990%)
9-4 : 18573 (0.52980%)
10-3 : 1854 (0.05289%)
11-2 : 229 (0.00653%)
12-1 : 23 (0.00066%)
13 pieces: 1425737 (40.66961%)
7-7 : 920610 (26.26070%)
8-6 : 635132 (18.11735%)
9-5 : 62797 (1.79130%)
10-4 : 5473 (0.15612%)
11-3 : 657 (0.01874%)
12-2 : 79 (0.00225%)
13-1 : 13 (0.00037%)
14 pieces: 1624761 (46.34683%)
8-7 : 1569417 (44.76813%)
9-6 : 222369 (6.34315%)
10-5 : 17113 (0.48815%)
11-4 : 1749 (0.04989%)
12-3 : 218 (0.00622%)
13-2 : 27 (0.00077%)
14-1 : 4 (0.00011%)
15 pieces: 1810897 (51.65642%)
8-8 : 1222514 (34.87261%)
9-7 : 731917 (20.87817%)
10-6 : 58963 (1.68194%)
11-5 : 4672 (0.13327%)
12-4 : 534 (0.01523%)
13-3 : 75 (0.00214%)
14-2 : 12 (0.00034%)
16 pieces: 2018687 (57.58370%)
9-8 : 1961996 (55.96657%)
10-7 : 221157 (6.30857%)
11-6 : 14000 (0.39935%)
12-5 : 1320 (0.03765%)
13-4 : 169 (0.00482%)
14-3 : 20 (0.00057%)
15-2 : 4 (0.00011%)
16-1 : 2 (0.00006%)
17 pieces: 2198668 (62.71772%)
9-9 : 1556895 (44.41093%)
10-8 : 781467 (22.29160%)
11-7 : 49411 (1.40946%)
12-6 : 3557 (0.10146%)
13-5 : 364 (0.01038%)
14-4 : 50 (0.00143%)
15-3 : 5 (0.00014%)
16-2 : 3 (0.00009%)
18 pieces: 2391752 (68.22550%)
10-9 : 2337471 (66.67712%)
11-8 : 196294 (5.59935%)
12-7 : 10289 (0.29350%)
13-6 : 880 (0.02510%)
14-5 : 90 (0.00257%)
15-4 : 11 (0.00031%)
16-3 : 3 (0.00009%)
19 pieces: 2545038 (72.59803%)
10-10: 1903328 (54.29305%)
11-9 : 767563 (21.89498%)
12-8 : 36645 (1.04531%)
13-7 : 2305 (0.06575%)
14-6 : 219 (0.00625%)
15-5 : 29 (0.00083%)
16-4 : 4 (0.00011%)
20 pieces: 2710093 (77.30628%)
11-10: 2667458 (76.09010%)
12-9 : 154363 (4.40325%)
13-8 : 6624 (0.18895%)
14-7 : 484 (0.01381%)
15-6 : 45 (0.00128%)
16-5 : 8 (0.00023%)
21 pieces: 2828982 (80.69763%)
11-11: 2250349 (64.19193%)
12-10: 688523 (19.64034%)
13-9 : 23410 (0.66778%)
14-8 : 1208 (0.03446%)
15-7 : 91 (0.00260%)
16-6 : 12 (0.00034%)
22 pieces: 2963593 (84.53745%)
12-11: 2939748 (83.85726%)
13-10: 105884 (3.02038%)
14-9 : 3457 (0.09861%)
15-8 : 238 (0.00679%)
16-7 : 14 (0.00040%)
23 pieces: 3049341 (86.98344%)
12-12: 2588201 (73.82927%)
13-11: 556138 (15.86402%)
14-10: 12699 (0.36224%)
15-9 : 538 (0.01535%)
16-8 : 30 (0.00086%)
24 pieces: 3157606 (90.07173%)
13-12: 3150329 (89.86415%)
14-11: 61283 (1.74812%)
15-10: 1458 (0.04159%)
16-9 : 65 (0.00185%)
25 pieces: 3213135 (91.65572%)
13-13: 2895348 (82.59074%)
14-12: 398980 (11.38103%)
15-11: 5470 (0.15603%)
16-10: 155 (0.00442%)
26 pieces: 3299953 (94.13223%)
14-13: 3304023 (94.24832%)
15-12: 28341 (0.80844%)
16-11: 372 (0.01061%)
27 pieces: 3332736 (95.06737%)
14-14: 3147068 (89.77113%)
15-13: 253581 (7.23348%)
16-12: 1349 (0.03848%)
28 pieces: 3401998 (97.04309%)
15-14: 3409665 (97.26180%)
16-13: 9584 (0.27339%)
29 pieces: 3419249 (97.53518%)
15-15: 3306438 (94.31721%)
16-14: 165355 (4.71680%)
30 pieces: 3471793 (99.03402%)
16-15: 3478566 (99.22722%)
31 pieces: 3478566 (99.22722%)
16-16: 3505641 (99.99954%)
32 pieces: 3505641 (99.99954%)

number of legal moves
0: 362969 ( 0.120810%)
1: 1901144 ( 0.632774%)
2: 3227039 ( 1.074083%)
3: 3854679 ( 1.282985%)
4: 3895138 ( 1.296452%)
5: 3336736 ( 1.110594%)
6: 2527280 ( 0.841176%)
7: 1578942 ( 0.525533%)
8: 1239264 ( 0.412475%)
9: 1157109 ( 0.385130%)
10: 1300595 ( 0.432888%)
11: 1567137 ( 0.521603%)
12: 1956493 ( 0.651196%)
13: 2347169 ( 0.781228%)
14: 2747363 ( 0.914428%)
15: 3082120 ( 1.025848%)
16: 3397649 ( 1.130868%)
17: 3558553 ( 1.184423%)
18: 3695055 ( 1.229856%)
19: 4084960 ( 1.359632%)
20: 11079764 ( 3.687771%)
21: 4609116 ( 1.534091%)
22: 6498866 ( 2.163072%)
23: 5235286 ( 1.742504%)
24: 5213817 ( 1.735359%)
25: 6087465 ( 2.026142%)
26: 6764006 ( 2.251321%)
27: 8378343 ( 2.788634%)
28: 9980915 ( 3.322032%)
29: 9931608 ( 3.305621%)
30: 12766369 ( 4.249138%)
31: 10953417 ( 3.645718%)
32: 11799492 ( 3.927324%)
33: 11976241 ( 3.986153%)
34: 11745485 ( 3.909349%)
35: 11517842 ( 3.833580%)
36: 11265806 ( 3.749693%)
37: 11320813 ( 3.768002%)
38: 11108824 ( 3.697443%)
39: 9968670 ( 3.317956%)
40: 9234100 ( 3.073463%)
41: 8228753 ( 2.738845%)
42: 8035540 ( 2.674536%)
43: 6902513 ( 2.297422%)
44: 5780526 ( 1.923981%)
45: 4896690 ( 1.629807%)
46: 4143691 ( 1.379180%)
47: 3376168 ( 1.123718%)
48: 2741597 ( 0.912509%)
49: 2124692 ( 0.707179%)
50: 1633024 ( 0.543533%)
51: 1238356 ( 0.412172%)
52: 932955 ( 0.310523%)
53: 672173 ( 0.223725%)
54: 475931 ( 0.158408%)
55: 335011 ( 0.111505%)
56: 229579 ( 0.076413%)
57: 156671 ( 0.052146%)
58: 104128 ( 0.034658%)
59: 67974 ( 0.022624%)
60: 43594 ( 0.014510%)
61: 27511 ( 0.009157%)
62: 17910 ( 0.005961%)
63: 11101 ( 0.003695%)
64: 6342 ( 0.002111%)
65: 3980 ( 0.001325%)
66: 2281 ( 0.000759%)
67: 1354 ( 0.000451%)
68: 853 ( 0.000284%)
69: 437 ( 0.000145%)
70: 292 ( 0.000097%)
71: 215 ( 0.000072%)
72: 145 ( 0.000048%)
73: 100 ( 0.000033%)
74: 62 ( 0.000021%)
75: 28 ( 0.000009%)
76: 30 ( 0.000010%)
77: 22 ( 0.000007%)
78: 20 ( 0.000007%)
79: 17 ( 0.000006%)
80: 24 ( 0.000008%)
81: 12 ( 0.000004%)
82: 15 ( 0.000005%)
83: 12 ( 0.000004%)
84: 15 ( 0.000005%)
85: 13 ( 0.000004%)
86: 9 ( 0.000003%)
87: 5 ( 0.000002%)
88: 6 ( 0.000002%)
89: 7 ( 0.000002%)
90: 10 ( 0.000003%)
91: 8 ( 0.000003%)
92: 5 ( 0.000002%)
93: 7 ( 0.000002%)
94: 4 ( 0.000001%)
95: 2 ( 0.000001%)
96: 3 ( 0.000001%)
97: 3 ( 0.000001%)
98: 6 ( 0.000002%)
99: 7 ( 0.000002%)
100: 7 ( 0.000002%)

 
--------------------------------------------------------------------------------------------by Cato
 

6-man EGTB collecting tip

Postby Cato the Younger » Thu Jan 05, 2006 4:37 pm

Collecting the entire set of 6-man EGTB is intimidating and impractical for most people who don't have the necessary 1.2 terabytes of free disk space on their hard drives. But there is a practical if imperfect solution to this problem: only collect the most important--that is to say, the most frequently occurring--combinations.

There are 365 possible 6-man combinations. If you collect just the top 20 of them, by my guess you will have over 56% of the 6-man situations that happen in engine vs. engine games. If you get ambitious and go for the top 50, you will have over 79%. But if you are super-inefficient and collect only the bottom 100 combinations you will have only 0.16% coverage! I mean really, what good is a KNNNNK tablebase to you unless you like horses?

Now there is one issue with this suggestion that I will let others elaborate: the "incomplete tablebases" problem. For example if you have a tablebase with pawns and don't have the one that it converts into following a pawn promotion, you could have some problems. But my general impression is that if you go for maximum coverage in statistical terms that's a better approach that getting all the pawnless combinations first, many of which hardly ever occur. KRRKBB for example happens less than once every 100,000 engine games!

According to my database, here are the top 100 most frequently occurring combinations, ranked in order. You really don't need much more than this, as these cover about 92% of all 6-man combinations that actually happen in engine games. (And for practical purposes you can toss out any 5+1 combinations I show here because if your engine can't solve those without help you need a new engine.)

KRP KRP
KRPP KR
KPP KPP
KRP KPP
KBP KNP
KBP KPP
KRPP KP
KRP KBP
KPPP KP
KQPP KP
KBPP KP
KBP KBP
KRB KRP
KNP KPP
KQP KQP
KQP KPP
KRBP KR
KNP KRP
KQRP KR
KRN KRP
KBPP KB
KNP KNP
KNPP KP
KBPP KR
KQP KRP
KRNP KR
KRPP KB
KQPP KQ
KQRP KP
KBPP KN
KQBP KP
KPPP KR
KNPP KB
KNPP KN
KQR KRP
KNPP KR
KQPPP K
KRPP KN
KRB KRN
KQRPP K
KQP KBP
KRPP KQ
KRPPP K
KQQP KP
KQPP KR
KRR KRP
KRRP KR
KPPP KB
KRBP KP
KQBPP K
KQNP KP
KQP KNP
KPPP KN
KRP KBN
KQQPP K
KQR KPP
KRB KBP
KRB KRB
KRB KPP
KQBP KB
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