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Endgame analysis for Hexagonal Chess

Dave McCooey did an extensive computer analysis of all endgames with two pieces (and two kings) on a hexagonal board, without pawns, with the pieces taken from the standard pieces and a collection of 9 fairy pieces. The board is the 91 square hexagonal board from McCooey's Hexagonal Chess, which is also used in Glinski's Hexagonal Chess. As the moves of the pieces in these two variants are the same except for pawns, the results are valid for both hexagonal chess variants.

See also:


The 9 fantasy pieces are as follows:
Amazon (symbol = A)
Moves like a Queen or a Knight
Chancellor (symbol = C)
Moves like a Rook or a Knight
Pegasus (symbol = G)
Moves like a Bishop or a Knight
Knightrider (symbol = I)
Moves like a Knight except that it may continue moving in a straight line through unoccupied squares, each a Knight's move from the last and in the same direction away from the starting square.
Duke (symbol = D)
Moves like a King or a Knight
Camel (symbol = L)
Moves to any of the 12 hexes that can be reached by moving 3 hexes Rook-wise, making a 60-degree turn, and then moving 1 hex Rook-wise. It hops from hex to hex like a Knight. (Note that, unlike its square-chess counterpart, a Hex Chess Camel is not restricted to a single color.)
Zebra (symbol = Z)
Moves to any of the 12 hexes that can be reached by moving 3 hexes Rook-wise, making a 60-degree turn, and then moving 2 hexes Rook-wise. It hops from hex to hex like a Knight.
Wazir (symbol = W)
Moves like a Rook, but only one square at a time.
Ferz (symbol = F)
Moves like a Bishop, but only one square at a time.

Whenever an endgame involves at least one piece that is restricted to a single color (e.g. Bishop or Ferz), then multiple summaries are reported - one for each combination of the colors and/or hexagonal lattices of the those pieces which are colorbound. Such summaries are indicated by a parenthesized 2-letter suffix. In the following definitions, the term "central" means a colorbound piece that is of the same color as the center hex, and the term "non-central" means a colorbound piece whose color doesn't match that of the center hex.

(dn)
Both pieces are non-central, and they are of different colors.
(de)
Both pieces are on the same side, exactly one of them is central, and the other is non-central.
(cn)
The 1st piece is central, and the 2nd piece is non-central.
(nc)
The 2nd piece is central, and the 1st piece is non-central.
(sn)
Both pieces are non-central, and they are of the same color.
(cc)
Both pieces are central.
(cx)
The 1st piece is central, and the 2nd piece is NOT colorbound.
(nx)
The 1st piece is non-central, and the 2nd piece is NOT colorbound.
(xc)
The 2nd piece is central, and the 1st piece is NOT colorbound.
(xn)
The 2nd piece is non-central, and the 1st piece is NOT colorbound.

Definitions used in the statistics

Unique Legal Positions:
Each legal position is one of either 6 or 12 equivalent positions due to rotations and/or reflections. If all pieces are on either a certain central diagonal or rank, then the number is 6. Otherwise it is 12. The Unique Legal Positions considers a set of equivalent positions as a single position.
WHITE win:
WHITE can force a win.
BLACK win:
BLACK can force a win.
Simple draw:
The weaker side can force a simplification of the position (i.e. by capture), resulting in a simplified drawn position.
Perpetual check:
The weaker side cannot force a simplification but can nevertheless force a sequence of positions in which the stronger side cannot escape being checked without either losing or allowing simplification.
Fortress draw:
The weaker side can force neither a simplification nor a perpetual check but can nevertheless hold the draw.
Longest win:
The maximum number of half-moves that it can require to force checkmate or to force a conversion (via capture) to a simpler ending that is also won. Note that a conversion to a simpler ending can result from the winning side making the capture or the losing side making the capture. Thus, there are some (but not many) endings where the longest wins are positions where the winning side's quickest course is to force the losing side to capture one of the winning side's pieces, preserving the win, of course.
Checkmate
A type of win where the quickest course for the winning side is to checkmate the losing side.
Forced Capture
A type of win where the quickest course for the winning side is to force the losing side to capture one of the winning side's pieces, preserving the win.
Capture
A type of win where the quickest course for the winning side is to capture one of the losing side's pieces.
Central
A colorbound piece that is restricted to the same color hexes as the center hex.
Non-central
A colorbound piece that is restricted to hexes of a color different than the center hex.
The string used to describe an endgame shows the WHITE side first, then the letter 'v', then the BLACK side. Thus, KRvKN means WHITE King+Rook versus BLACK King+Knight. In each endgame, there is a strong side and a weak side, according to which side has more total wins. In all of these endgames, the strong side was chosen to be WHITE.

The endgames are divided into the following sub-types:

There were 6 endgames where the longest win requires 100 or more half-moves, and, in all cases, it was the strong (WHITE) side to win.

      Longest           Type Of Win
       WHITE             i.e. final
Two     Win   Number      outcome
Piece  half-    Of        assuming
Endgm  moves Positions   best play     Example Position
-----  ----- --------- --------------  ----------------------------------------
KNLvK   164       14   checkmate       WK(a6) WN(e8) WL(d8) BK(e6)   BLACK move
KWFvK   143       11   checkmate       WK(b6) WW(i2) WF(i8) BK(k4)   WHITE move
KCvKR   134        3   capture         WK(a6) WC(i1) BK(g5) BR(j5)   BLACK move
KRvKW   112        6   capture         WK(a6) WR(d9) BK(d7) BW(c7)   BLACK move
KNZvK   102       30   checkmate       WK(a6) WN(f8) WZ(d7) BK(d9)   BLACK move
KZWvK   100       14   checkmate       WK(a6) WZ(e10) WW(k6) BK(h9)  BLACK move
Here are some observations:
  1. The Queen and the Chancellor are about equal strength. The Queen is better against an Amazon or a Pegasus, but the Chancellor is much better against a Rook.
  2. A Queen does not beat a Rook in general.
  3. A Queen does not beat a Duke in general.
  4. A Queen beats any piece from the set {G,I,N,L,Z,W,B,F}.
  5. A Chancellor comes very close to beating a Rook.
  6. A Chancellor does not beat a Duke in general.
  7. A Chancellor does not beat a Pegasus in general.
  8. A Chancellor beats any piece from the set {I,N,L,Z,W,B,F}.
  9. A Rook is better than a Duke, but the KRvKD endgame is a draw in general.
  10. A Rook does not beat a Pegasus in general.
  11. A Rook does not beat a Knightrider in general.
  12. A Rook beats any piece from the set {N,L,Z,W,B,F}.
  13. A Rook can checkmate a long King.
  14. A Duke does not beat a Pegasus in general.
  15. A Duke does not beat a Knightrider in general.
  16. A Duke beats any piece from the set {N,L,Z,W,B,F}.
  17. A Duke can checkmate a long King.
  18. The Pegasus is much weaker than its square-chess counterpart. It cannot even force checkmate against a long King. It is measurably weaker than both the Rook and Duke, although both the KRvKG and KDvKG endgames are draws in general.
  19. A Pegasus and any piece from the set {G,I,N,L,Z,W,B,F} can checkmate a lone King.
  20. A Knightrider and any piece from the set {I,N,L,Z,W} can checkmate a lone King.
  21. A Knightrider and a Bishop cannot checkmate a lone King.
  22. A Knight and any piece from the set {N,L,Z,W} can checkmate a lone King.
  23. A Knight and a Bishop cannot checkmate a lone King.
  24. A Camel and a Wazir can checkmate a lone King.
  25. A Zebra and a Wazir can checkmate a lone King.
  26. In many cases, two Wazirs can checkmate a lone King, but there are a large number (16.6%) of fortress draws.
  27. A Wazir and a Ferz can checkmate a lone King, but only if the Ferz is NOT of the same color as the center hex.
  28. A Wazir and a Bishop can checkmate a lone King.
  29. In 2-piece endgames, a Bishop is a very weak piece, even weaker than a Wazir.
  30. Two Bishops cannot checkmate a lone King.

(91-HEX BOARD)

Endgames: strong side has 2 pieces, weak side has 0 pieces

(A)mazon, (Q)ueen, (C)hancellor, Pe(G)asus, (R)ook, (B)ishop, K(N)ight
            Kn(I)ghtrider, (D)uke, Came(L), (Z)ebra, (W)azir, (F)erz

    (dn) = Both pieces are non-central, and they are of different colors.
    (de) = Both pieces are on the same side, exactly one of them is central,
           and the other is non-central.
    (cn) = The 1st piece is central, and the 2nd piece is non-central.
    (nc) = The 2nd piece is central, and the 1st piece is non-central.
    (sn) = Both pieces are non-central, and they are of the same color.
    (cc) = Both pieces are central.
    (xc) = The 2nd piece is central, and the 1st piece is NOT colorbound.
    (xn) = The 2nd piece is non-central, and the 1st piece is NOT colorbound.

                     --------------------------------------------------------
                     |||||||||||||||   Percentage Breakdown   |||||||||||||||
Two         Unique   --------------------------------------------------------
Piece       Legal      WHITE    BLACK    Simple   Fortress Perpetual Stale-
Endgame     Positions  Wins     Wins     Draws    Draws    Checks    mates
-------     ---------  -------- -------- -------- -------- -------- --------
KAAvK         3068403  99.28693  0.00000  0.00000  0.00000  0.00000  0.71307
KAQvK         6347110  99.37015  0.00000  0.00000  0.00000  0.00000  0.62985
KACvK         6471952  99.40262  0.00000  0.00000  0.00000  0.00000  0.59738
KARvK         6685454  99.53391  0.00000  0.00000  0.00000  0.00000  0.46609
KADvK         6838056  99.20982  0.00000  0.00000  0.00000  0.00000  0.79018
KAGvK         6789434  93.99726  0.00000  5.62266  0.00000  0.00000  0.38008
KAIvK         6965450  93.72239  0.00000  5.97226  0.00000  0.00000  0.30535
KANvK         7127778  93.47617  0.00000  6.26613  0.00000  0.00000  0.25770
KALvK         7165745  93.39393  0.00000  6.34875  0.00000  0.00000  0.25732
KAZvK         7192151  93.33179  0.00000  6.41423  0.00000  0.00000  0.25399
KAWvK         7182713  93.28159  0.00000  6.47381  0.00000  0.00000  0.24460
KABvK         7002936  93.60754  0.00000  6.11572  0.00000  0.00000  0.27674
KABvK(xc)     2383686  93.58238  0.00000  6.10827  0.00000  0.00000  0.30935
KABvK(xn)     4619250  93.62052  0.00000  6.11956  0.00000  0.00000  0.25991
KAFvK         7210125  93.26320  0.00000  6.49188  0.00000  0.00000  0.24492
KAFvK(xc)     2455283  93.25670  0.00000  6.49359  0.00000  0.00000  0.24971
KAFvK(xn)     4754842  93.26655  0.00000  6.49100  0.00000  0.00000  0.24245
KQQvK         3299997  99.45464  0.00000  0.00000  0.00000  0.00000  0.54536
KQCvK         6742571  99.53507  0.00000  0.00000  0.00000  0.00000  0.46493
KQRvK         6992033  99.64974  0.00000  0.00000  0.00000  0.00000  0.35026
KQDvK         7166770  99.29025  0.00000  0.00000  0.00000  0.00000  0.70975
KQGvK         7110485  94.38127  0.00000  5.36879  0.00000  0.00000  0.24994
KQIvK         7318446  94.14515  0.00000  5.68420  0.00000  0.00000  0.17065
KQNvK         7505946  93.92201  0.00000  5.95043  0.00000  0.00000  0.12757
KQLvK         7546532  93.84349  0.00000  6.02840  0.00000  0.00000  0.12811
KQZvK         7578758  93.78714  0.00000  6.08703  0.00000  0.00000  0.12584
KQWvK         7570913  93.73951  0.00000  6.14186  0.00000  0.00000  0.11863
KQBvK         7359947  94.04178  0.00000  5.81906  0.00000  0.00000  0.13916
KQBvK(xc)     2505536  94.02571  0.00000  5.81121  0.00000  0.00000  0.16308
KQBvK(xn)     4854411  94.05007  0.00000  5.82312  0.00000  0.00000  0.12681
KQFvK         7600727  93.73157  0.00000  6.15827  0.00000  0.00000  0.11016
KQFvK(xc)     2588553  93.72819  0.00000  6.15927  0.00000  0.00000  0.11253
KQFvK(xn)     5012174  93.73332  0.00000  6.15775  0.00000  0.00000  0.10893
KCCvK         3437819  99.61822  0.00000  0.00000  0.00000  0.00000  0.38178
KCRvK         7142764  99.71036  0.00000  0.00000  0.00000  0.00000  0.28964
KCDvK         7331759  99.30036  0.00000  0.00000  0.00000  0.00000  0.69964
KCGvK         7285959  94.53000  0.00000  5.23949  0.00000  0.00000  0.23051
KCIvK         7484711  94.27644  0.00000  5.55793  0.00000  0.00000  0.16563
KCNvK         7686152  94.06485  0.00000  5.81092  0.00000  0.00000  0.12424
KCLvK         7733930  93.99155  0.00000  5.88233  0.00000  0.00000  0.12612
KCZvK         7768176  93.94523  0.00000  5.93860  0.00000  0.00000  0.11617
KCWvK         7760211  93.89140  0.00000  5.99204  0.00000  0.00000  0.11656
KCBvK         7556578  94.18086  0.00000  5.66764  0.00000  0.00000  0.15150
KCBvK(xc)     2571684  94.16522  0.00000  5.66174  0.00000  0.00000  0.17304
KCBvK(xn)     4984894  94.18892  0.00000  5.67069  0.00000  0.00000  0.14038
KCFvK         7798938  93.88672  0.00000  6.00175  0.00000  0.00000  0.11153
KCFvK(xc)     2655552  93.87875  0.00000  6.00387  0.00000  0.00000  0.11738
KCFvK(xn)     5143386  93.89083  0.00000  6.00066  0.00000  0.00000  0.10851
KRRvK         3726530  99.79748  0.00000  0.00000  0.00000  0.00000  0.20252
KRDvK         7660473  99.36159  0.00000  0.00000  0.00000  0.00000  0.63841
KRGvK         7607010  94.84574  0.00000  5.01836  0.00000  0.00000  0.13590
KRIvK         7837707  94.59205  0.00000  5.30761  0.00000  0.00000  0.10034
KRNvK         8064320  94.37829  0.00000  5.53842  0.00000  0.00000  0.08329
KRLvK         8114717  94.30601  0.00000  5.60630  0.00000  0.00000  0.08769
KRZvK         8154783  94.25952  0.00000  5.65706  0.00000  0.00000  0.08342
KRWvK         8148411  94.21036  0.00000  5.70657  0.00000  0.00000  0.08307
KRBvK         7913589  94.49856  0.00000  5.41196  0.00000  0.00000  0.08948
KRBvK(xc)     2693534  94.49612  0.00000  5.40561  0.00000  0.00000  0.09827
KRBvK(xn)     5220055  94.49983  0.00000  5.41523  0.00000  0.00000  0.08494
KRFvK         8189540  94.20580  0.00000  5.71550  0.00000  0.00000  0.07870
KRFvK(xc)     2788822  94.20354  0.00000  5.71697  0.00000  0.00000  0.07950
KRFvK(xn)     5400718  94.20697  0.00000  5.71474  0.00000  0.00000  0.07829
KDDvK         3917676  98.88082  0.00000  0.00000  0.00000  0.00000  1.11918
KDGvK         7757446  94.44994  0.00000  4.92104  0.00000  0.00000  0.62902
KDIvK         8008585  94.24802  0.00000  5.19436  0.00000  0.00000  0.55761
KDNvK         8251149  94.02128  0.00000  5.41302  0.00000  0.00000  0.56570
KDLvK         8308148  93.97058  0.00000  5.47577  0.00000  0.00000  0.55365
KDZvK         8350398  93.91292  0.00000  5.52454  0.00000  0.00000  0.56254
KDWvK         8354816  93.86080  0.00000  5.56559  0.00000  0.00000  0.57361
KDBvK         8086160  94.15916  0.00000  5.29646  0.00000  0.00000  0.54439
KDBvK(xc)     2752231  94.17022  0.00000  5.29033  0.00000  0.00000  0.53945
KDBvK(xn)     5333929  94.15345  0.00000  5.29962  0.00000  0.00000  0.54693
KDFvK         8385441  93.86341  0.00000  5.58197  0.00000  0.00000  0.55462
KDFvK(xc)     2855555  93.86512  0.00000  5.58336  0.00000  0.00000  0.55152
KDFvK(xn)     5529886  93.86253  0.00000  5.58125  0.00000  0.00000  0.55621
KGGvK         3837779  90.30043  0.00000  9.54630  0.00000  0.00000  0.15327
KGIvK         7932427  90.24405  0.00000  9.66839  0.00000  0.00000  0.08756
KGNvK         8168486  90.16129  0.00000  9.76410  0.00000  0.00000  0.07462
KGLvK         8224432  90.12880  0.00000  9.79884  0.00000  0.00000  0.07236
KGZvK         8265684  90.07777  0.00000  9.85466  0.00000  0.00000  0.06757
KGWvK         8272810  89.85585  0.00000 10.07874  0.00000  0.00000  0.06541
KGBvK         7993012  90.16111  0.00000  9.74884  0.00000  0.00000  0.09005
KGBvK(xc)     2720825  90.15736  0.00000  9.74943  0.00000  0.00000  0.09321
KGBvK(xn)     5272187  90.16304  0.00000  9.74854  0.00000  0.00000  0.08843
KGFvK         8295224  90.00657  0.00000  9.91496  0.01003  0.00000  0.06844
KGFvK(xc)     2825124  90.02430  0.00000  9.87918  0.02775  0.00000  0.06878
KGFvK(xn)     5470100  89.99742  0.00000  9.93344  0.00088  0.00000  0.06826
KIIvK         4098479  90.21923  0.00000  9.72705  0.00000  0.00000  0.05373
KINvK         8451688  90.16020  0.00000  9.79400  0.00000  0.00000  0.04580
KILvK         8513450  90.12789  0.00000  9.82611  0.00000  0.00000  0.04600
KIZvK         8559068  90.02640  0.00000  9.92615  0.00000  0.00000  0.04745
KIWvK         8567554  89.92677  0.00000 10.02601  0.00000  0.00000  0.04721
KIBvK         8285423  30.91854  0.00000  9.93788 59.09463  0.00000  0.04895
KIBvK(xc)     2820296  89.99789  0.00000  9.94669  0.00000  0.00000  0.05542
KIBvK(xn)     5465127   0.43046  0.00000  9.93333 89.59060  0.00000  0.04562
KIFvK         8598711   0.22101  0.00000 10.06708 89.66842  0.00000  0.04349
KIFvK(xc)     2928339   0.30587  0.00000 10.05816 89.59120  0.00000  0.04477
KIFvK(xn)     5670372   0.17718  0.00000 10.07168 89.70829  0.00000  0.04284
KNNvK         4365376  89.71181  0.00000 10.24393  0.00000  0.00000  0.04426
KNLvK         8792617  89.71230  0.00000 10.01364  0.23044  0.00000  0.04362
KNZvK         8841709  89.43421  0.00000 10.35414  0.16519  0.00000  0.04645
KNWvK         8850308  87.05538  0.00000 10.36695  2.53087  0.00000  0.04680
KNBvK         8546654   0.49811  0.00000 10.15145 89.30684  0.00000  0.04360
KNBvK(xc)     2908823   0.98383  0.00000 10.15758 88.80980  0.00000  0.04878
KNBvK(xn)     5637831   0.24751  0.00000 10.14828 89.56329  0.00000  0.04092
KNFvK         8884037   0.09427  0.00000 10.39951 89.46326  0.00000  0.04296
KNFvK(xc)     3025393   0.09966  0.00000 10.24003 89.61652  0.00000  0.04380
KNFvK(xn)     5858644   0.09149  0.00000 10.48186 89.38411  0.00000  0.04254
KLLvK         4427839   0.04420  0.00000 10.56816 89.34361  0.00000  0.04404
KLZvK         8905337   0.03806  0.00000 10.09899 89.81654  0.00000  0.04641
KLWvK         8914186  89.20094  0.00000 10.26554  0.48675  0.00000  0.04677
KLBvK         8605219   0.07547  0.00000 10.23726 89.64331  0.00000  0.04396
KLBvK(xc)     2929125   0.11406  0.00000 10.23664 89.60000  0.00000  0.04930
KLBvK(xn)     5676094   0.05555  0.00000 10.23759 89.66566  0.00000  0.04121
KLFvK         8948153   0.02564  0.00000 10.41624 89.51528  0.00000  0.04285
KLFvK(xc)     3047436   0.02760  0.00000 10.28717 89.64165  0.00000  0.04358
KLFvK(xn)     5900717   0.02462  0.00000 10.48290 89.45001  0.00000  0.04247
KZZvK         4478665   0.02177  0.00000 10.68892 89.23970  0.00000  0.04961
KZWvK         8965518  89.49341  0.00000 10.35819  0.09926  0.00000  0.04914
KZBvK         8652291   0.02818  0.00000 10.17000 89.75589  0.00000  0.04593
KZBvK(xc)     2944846   0.01722  0.00000 10.17527 89.75668  0.00000  0.05083
KZBvK(xn)     5707445   0.03383  0.00000 10.16728 89.75549  0.00000  0.04340
KZFvK         8999803   0.01361  0.00000 10.49373 89.44666  0.00000  0.04600
KZFvK(xc)     3064925   0.01080  0.00000 10.33569 89.60679  0.00000  0.04672
KZFvK(xn)     5934878   0.01506  0.00000 10.57535 89.36396  0.00000  0.04563
KWWvK         4488065  73.14816  0.00000 10.19486 16.60731  0.00000  0.04967
KWBvK         8661010  89.40047  0.00000 10.33289  0.22106  0.00000  0.04557
KWBvK(xc)     2948080  89.40205  0.00000 10.34290  0.20427  0.00000  0.05078
KWBvK(xn)     5712930  89.39966  0.00000 10.32773  0.22972  0.00000  0.04289
KWFvK         9009411  48.61636  0.00000 10.88708 40.45061  0.00000  0.04594
KWFvK(xc)     3068287   0.77190  0.00000 10.53275 88.64868  0.00000  0.04667
KWFvK(xn)     5941124  73.32559  0.00000 11.07008 15.55877  0.00000  0.04556
KBBvK         4176922   0.11827  0.00000 10.05544 89.77968  0.00000  0.04661
KBBvK(cc)      484548   0.00000  0.00000  6.76156 93.19201  0.00000  0.04644
KBBvK(de)     1874889   0.21857  0.00000 11.73397 87.99236  0.00000  0.05510
KBBvK(dn)      908655   0.06944  0.00000 11.72392 88.16581  0.00000  0.04083
KBBvK(sn)      908830   0.02322  0.00000  6.68068 93.26112  0.00000  0.03499
KBFvK         8685826   0.04525  0.00000 10.45456 89.45788  0.00000  0.04231
KBFvK(cc)      995415   0.00000  0.00000  7.97135 91.98485  0.00000  0.04380
KBFvK(cn)     1961259   0.08765  0.00000 11.97766 87.88605  0.00000  0.04864
KBFvK(dn)     1900533   0.03394  0.00000 11.66136 88.26492  0.00000  0.03978
KBFvK(nc)     1962979   0.05899  0.00000 11.45091 88.44771  0.00000  0.04238
KBFvK(sn)     1865640   0.02187  0.00000  7.90061 92.04016  0.00000  0.03736
KFFvK         4522633   0.01329  0.00000 11.58363 88.36001  0.00000  0.04307
KFFvK(cc)      515610   0.00000  0.00000  8.98334 90.97302  0.00000  0.04364
KFFvK(de)     2049349   0.01913  0.00000 12.38847 87.54883  0.00000  0.04357
KFFvK(dn)      992238   0.01199  0.00000 13.03014 86.91554  0.00000  0.04233
KFFvK(sn)      965436   0.00932  0.00000  9.77724 90.17097  0.00000  0.04247

       Longest          Type Of Win
        WHITE            i.e. final
Two      Win   Number     outcome
Piece   half-    Of       assuming
Endgame moves Positions  best play    Example Position
------- ----- --------- ------------  -----------------------------------------
KAAvK       5      123  forced capt.  WK(c6) WA(b6) WA(a6) BK(g7)    BLACK move
KAQvK       5     1189  forced capt.  WK(e6) WA(c8) WQ(a6) BK(g5)    BLACK move
KACvK       5     8585  forced capt.  WK(c6) WA(b7) WC(a6) BK(f6)    BLACK move
KARvK       5    14044  forced capt.  WK(c6) WA(b7) WR(a6) BK(f6)    BLACK move
KADvK       5        1  checkmate     WK(c6) WA(h4) WD(g5) BK(a6)    WHITE move
                 49607  forced capt.  WK(c7) WA(b7) WD(a6) BK(f8)    BLACK move
KAGvK       6   141550  checkmate     WK(a6) WA(c8) WG(b7) BK(g7)    BLACK move
KAIvK       6    43182  checkmate     WK(b7) WA(c8) WI(a6) BK(g6)    BLACK move
KANvK       8     2528  checkmate     WK(c8) WA(b7) WN(a6) BK(f7)    BLACK move
KALvK       8      459  checkmate     WK(c7) WA(b7) WL(a6) BK(f7)    BLACK move
KAZvK       8     2437  checkmate     WK(c7) WA(b7) WZ(a6) BK(g7)    BLACK move
KAWvK       8    43613  checkmate     WK(a6) WA(c8) WW(b7) BK(f8)    BLACK move
KABvK(xc)   8      102  checkmate     WK(b6) WA(a6) WB(b7) BK(f7)    BLACK move
KABvK(xn)   8       28  checkmate     WK(c7) WA(b7) WB(a6) BK(e7)    BLACK move
KAFvK(xc)   8     9404  checkmate     WK(a6) WA(c8) WF(b7) BK(f8)    BLACK move
KAFvK(xn)   8    18552  checkmate     WK(b7) WA(c8) WF(a6) BK(f8)    BLACK move
KQQvK       7      212  forced capt.  WK(b6) WQ(c8) WQ(a6) BK(f6)    BLACK move
KQCvK       7      351  forced capt.  WK(c6) WQ(b6) WC(a6) BK(e6)    BLACK move
KQRvK       8      344  checkmate     WK(b6) WQ(c8) WR(a6) BK(f7)    BLACK move
KQDvK       9      291  forced capt.  WK(c6) WQ(b6) WD(a6) BK(f8)    BLACK move
KQGvK      10    29887  checkmate     WK(a6) WQ(c8) WG(b7) BK(e7)    BLACK move
KQIvK      13      444  forced capt.  WK(a6) WQ(e10) WI(b7) BK(e7)   BLACK move
KQNvK      16      147  checkmate     WK(a6) WQ(e10) WN(b7) BK(f6)   BLACK move
KQLvK      18       12  checkmate     WK(a6) WQ(a5) WL(f11) BK(g5)   BLACK move
KQZvK      18    13341  checkmate     WK(a6) WQ(c8) WZ(b7) BK(f8)    BLACK move
KQWvK      20       24  checkmate     WK(a6) WQ(b6) WW(c6) BK(d8)    BLACK move
KQBvK(xc)  16      398  checkmate     WK(a6) WQ(c8) WB(b7) BK(f8)    BLACK move
KQBvK(xn)  16     9732  checkmate     WK(b7) WQ(c8) WB(a6) BK(c5)    BLACK move
KQFvK(xc)  18    16104  checkmate     WK(a6) WQ(c8) WF(b7) BK(e10)   BLACK move
KQFvK(xn)  18    39836  checkmate     WK(b7) WQ(c8) WF(a6) BK(b4)    BLACK move
KCCvK       8     4047  checkmate     WK(b6) WC(b7) WC(a6) BK(f7)    BLACK move
KCRvK       9    10081  forced capt.  WK(a6) WC(c8) WR(b7) BK(f7)    BLACK move
KCDvK      10    13609  checkmate     WK(b6) WC(b7) WD(a6) BK(f6)    BLACK move
KCGvK      11      186  forced capt.  WK(c7) WC(b7) WG(a6) BK(e7)    BLACK move
KCIvK      16      428  checkmate     WK(a6) WC(c8) WI(b7) BK(e8)    BLACK move
KCNvK      19       28  forced capt.  WK(a6) WC(c3) WN(f11) BK(f6)   BLACK move
KCLvK      20     4266  checkmate     WK(a6) WC(c8) WL(b7) BK(e8)    BLACK move
KCZvK      22     4507  checkmate     WK(a6) WC(h9) WZ(b7) BK(e7)    BLACK move
KCWvK      26     1469  checkmate     WK(a6) WC(e10) WW(b7) BK(d7)   BLACK move
KCBvK(xc)  15     1361  forced capt.  WK(a6) WC(c8) WB(b7) BK(e8)    BLACK move
KCBvK(xn)  15      562  forced capt.  WK(b7) WC(d9) WB(a6) BK(e7)    BLACK move
KCFvK(xc)  21     2685  forced capt.  WK(a6) WC(f11) WF(b7) BK(f9)   BLACK move
KCFvK(xn)  22     1762  checkmate     WK(b6) WC(e9) WF(a6) BK(e7)    BLACK move
KRRvK      11     3993  forced capt.  WK(b6) WR(b7) WR(a6) BK(d6)    BLACK move
KRDvK      11      988  forced capt.  WK(c7) WR(b7) WD(a6) BK(f9)    BLACK move
KRGvK      16    83743  checkmate     WK(a6) WR(c8) WG(b7) BK(e7)    BLACK move
KRIvK      22    67495  checkmate     WK(a6) WR(c8) WI(b7) BK(c6)    BLACK move
KRNvK      26      113  checkmate     WK(b7) WR(i6) WN(a6) BK(f9)    BLACK move
KRLvK      30       21  checkmate     WK(a6) WR(c2) WL(f11) BK(e6)   BLACK move
KRZvK      32     2895  checkmate     WK(b7) WR(f7) WZ(a6) BK(b5)    BLACK move
KRWvK      35       83  forced capt.  WK(a6) WR(e10) WW(b7) BK(c8)   BLACK move
KRBvK(xc)  25       63  forced capt.  WK(a6) WR(d9) WB(b7) BK(c6)    BLACK move
KRBvK(xn)  26       35  checkmate     WK(a6) WR(g8) WB(f11) BK(d6)   BLACK move
KRFvK(xc)  32       57  checkmate     WK(a6) WR(f8) WF(b7) BK(d6)    BLACK move
KRFvK(xn)  32     1044  checkmate     WK(b7) WR(f10) WF(a6) BK(f8)   BLACK move
KDDvK      13      219  forced capt.  WK(d6) WD(b7) WD(a6) BK(f9)    BLACK move
KDGvK      14    64510  checkmate     WK(b7) WD(c8) WG(a6) BK(d7)    BLACK move
KDIvK      17      408  forced capt.  WK(b7) WD(a6) WI(c8) BK(d7)    BLACK move
KDNvK      20    26403  checkmate     WK(a6) WD(c8) WN(b7) BK(e8)    BLACK move
KDLvK      20     1979  checkmate     WK(a6) WD(c8) WL(b7) BK(e8)    BLACK move
KDZvK      22    37231  checkmate     WK(a6) WD(c8) WZ(b7) BK(f10)   BLACK move
KDWvK      24     7179  checkmate     WK(a6) WD(c8) WW(b7) BK(d9)    BLACK move
KDBvK(xc)  21      275  forced capt.  WK(a6) WD(c8) WB(b7) BK(f9)    BLACK move
KDBvK(xn)  22     1409  checkmate     WK(a6) WD(b7) WB(d9) BK(d7)    BLACK move
KDFvK(xc)  24     4875  checkmate     WK(a6) WD(c8) WF(b7) BK(f10)   BLACK move
KDFvK(xn)  24     5257  checkmate     WK(b7) WD(c8) WF(a6) BK(d7)    BLACK move
KGGvK      18     7503  checkmate     WK(a6) WG(c8) WG(b7) BK(e8)    BLACK move
KGIvK      28       10  checkmate     WK(a6) WG(k6) WI(i6) BK(i8)    BLACK move
KGNvK      30     1617  checkmate     WK(a6) WG(h4) WN(b7) BK(f7)    BLACK move
KGLvK      34     1599  checkmate     WK(a6) WG(e8) WL(c8) BK(c6)    BLACK move
KGZvK      38       26  checkmate     WK(a6) WG(d7) WZ(d9) BK(f9)    BLACK move
KGWvK      44       21  checkmate     WK(a6) WG(e2) WW(f11) BK(f9)   BLACK move
KGBvK(xc)  32       15  checkmate     WK(a6) WG(h9) WB(g10) BK(e9)   BLACK move
KGBvK(xn)  32       18  checkmate     WK(a6) WG(f9) WB(f11) BK(d9)   BLACK move
KGFvK(xc)  38      274  checkmate     WK(a6) WG(b6) WF(e10) BK(c8)   BLACK move
KGFvK(xn)  40       20  checkmate     WK(a6) WG(j5) WF(f11) BK(d9)   BLACK move
KIIvK      52     1185  checkmate     WK(d8) WI(b6) WI(a6) BK(a3)    BLACK move
KINvK      62       19  checkmate     WK(d8) WI(b6) WN(a6) BK(a3)    BLACK move
KILvK      82      123  checkmate     WK(b7) WI(e9) WL(e10) BK(e7)   BLACK move
KIZvK      84        4  checkmate     WK(a6) WI(h5) WZ(f6) BK(f8)    BLACK move
KIWvK      62       60  checkmate     WK(a6) WI(f10) WW(d9) BK(d7)   BLACK move
KIBvK(xc)  76       78  checkmate     WK(a6) WI(d9) WB(d8) BK(d6)    BLACK move
KIBvK(xn)  25        3  checkmate     WK(d7) WI(h9) WB(c5) BK(f11)   WHITE move
KIFvK(xc)  37       13  checkmate     WK(d7) WI(g10) WF(f6) BK(b7)   WHITE move
KIFvK(xn)  27        2  checkmate     WK(d7) WI(h8) WF(c1) BK(b7)    WHITE move
KNNvK      72     3659  checkmate     WK(d8) WN(b6) WN(a6) BK(a3)    BLACK move
KNLvK     164       14  checkmate     WK(a6) WN(e8) WL(d8) BK(e6)    BLACK move
KNZvK     102       30  checkmate     WK(a6) WN(f8) WZ(d7) BK(d9)    BLACK move
KNWvK      98        9  checkmate     WK(b6) WN(d1) WW(i8) BK(f11)   BLACK move
KNBvK(xc)  39        6  checkmate     WK(c7) WN(g5) WB(a5) BK(e10)   WHITE move
KNBvK(xn)  27       61  checkmate     WK(f6) WN(e8) WB(g8) BK(a6)    WHITE move
KNFvK(xc)  21       34  checkmate     WK(d7) WN(b3) WF(j7) BK(b7)    WHITE move
KNFvK(xn)  27        4  checkmate     WK(d7) WN(f11) WF(c1) BK(b7)   WHITE move
KLLvK      11       16  checkmate     WK(d7) WL(c6) WL(f11) BK(b7)   WHITE move
KLZvK      25       16  checkmate     WK(c6) WL(i7) WZ(f10) BK(c8)   WHITE move
KLWvK      92       84  checkmate     WK(a6) WL(h1) WW(f11) BK(c8)   BLACK move
KLBvK(xc)  13       56  checkmate     WK(d7) WL(k4) WB(f9) BK(a5)    WHITE move
KLBvK(xn)   9       38  checkmate     WK(d7) WL(e4) WB(f10) BK(b7)   WHITE move
KLFvK(xc)  11        9  checkmate     WK(d7) WL(f11) WF(e10) BK(b7)  WHITE move
KLFvK(xn)  11        3  checkmate     WK(d7) WL(j7) WF(d9) BK(b7)    WHITE move
KZZvK       1      761  checkmate     WK(c6) WZ(c8) WZ(b7) BK(a6)    WHITE move
KZWvK     100       14  checkmate     WK(a6) WZ(e10) WW(k6) BK(h9)   BLACK move
KZBvK(xc)   1      396  checkmate     WK(c6) WZ(a5) WB(b7) BK(a6)    WHITE move
KZBvK(xn)   1     1327  checkmate     WK(d7) WZ(b5) WB(a6) BK(d9)    WHITE move
KZFvK(xc)   1      255  checkmate     WK(c6) WZ(a5) WF(b7) BK(a6)    WHITE move
KZFvK(xn)   1      667  checkmate     WK(d7) WZ(c5) WF(a6) BK(d9)    WHITE move
KWWvK      94        8  checkmate     WK(c8) WW(g4) WW(j7) BK(i2)    BLACK move
KWBvK(xc)  86      928  checkmate     WK(c8) WW(a3) WB(b7) BK(c5)    BLACK move
KWBvK(xn)  78      566  checkmate     WK(b7) WW(f11) WB(b5) BK(d9)   BLACK move
KWFvK(xc)  75       12  checkmate     WK(c7) WW(b2) WF(d8) BK(b4)    WHITE move
KWFvK(xn) 143       11  checkmate     WK(b6) WW(i2) WF(i8) BK(k4)    WHITE move
KBBvK(cc)   0        0
KBBvK(de)  12        3  checkmate     WK(d7) WB(j2) WB(f9) BK(b7)    BLACK move
KBBvK(dn)   1      451  checkmate     WK(c6) WB(d9) WB(c8) BK(a6)    WHITE move
KBBvK(sn)   1       91  checkmate     WK(c6) WB(f10) WB(d9) BK(a6)   WHITE move
KBFvK(cc)   0        0
KBFvK(cn)  13       24  checkmate     WK(d6) WB(c3) WF(d9) BK(a6)    WHITE move
KBFvK(dn)   1      446  checkmate     WK(c6) WB(d9) WF(c8) BK(a6)    WHITE move
KBFvK(nc)   9       26  checkmate     WK(d7) WB(f10) WF(e10) BK(b7)  WHITE move
KBFvK(sn)   1      255  checkmate     WK(c6) WB(f10) WF(d9) BK(a6)   WHITE move
KFFvK(cc)   0        0
KFFvK(de)  11        2  checkmate     WK(d7) WF(e10) WF(d9) BK(b7)   WHITE move
KFFvK(dn)   1       86  checkmate     WK(c6) WF(d9) WF(c8) BK(a6)    WHITE move
KFFvK(sn)   1       62  checkmate     WK(c6) WF(f10) WF(d9) BK(a6)   WHITE move

(91-HEX BOARD)

Endgames: strong side has 1 piece, weak side has 1 piece

     (A)mazon, (Q)ueen, (C)hancellor, Pe(G)asus, (R)ook, (B)ishop, K(N)ight
            Kn(I)ghtrider, (D)uke, Came(L), (Z)ebra, (W)azir, (F)erz

    (dn) = Both pieces are non-central, and they are of different colors.
    (cn) = The 1st piece is central, and the 2nd piece is non-central.
    (nc) = The 2nd piece is central, and the 1st piece is non-central.
    (sn) = Both pieces are non-central, and they are of the same color.
    (cc) = Both pieces are central.
    (xc) = The 2nd piece is central, and the 1st piece is NOT colorbound.
    (xn) = The 2nd piece is non-central, and the 1st piece is NOT colorbound.

                     --------------------------------------------------------
                     |||||||||||||||   Percentage Breakdown   |||||||||||||||
Two         Unique   --------------------------------------------------------
Piece       Legal      WHITE    BLACK    Simple   Fortress Perpetual Stale-
Endgame     Positions  Wins     Wins     Draws    Draws    Checks    mates
-------     ---------  -------- -------- -------- -------- -------- --------
KAvKA         5163404  38.68140 38.68140  1.45629 21.18091  0.00000  0.00000
KAvKQ         5577532  45.94154 23.58281 14.39522  4.01484 12.06559  0.00000
KAvKC         5778895  52.40815 21.29457 10.89639  0.00235 15.39845  0.00009
KAvKR         6193023  74.07985 17.93727  4.74720  0.00000  3.23553  0.00016
KAvKD         6401987  83.10273 15.76120  1.10822  0.00000  0.02785  0.00000
KAvKG         6311661  80.57373  0.05133 19.34595  0.00000  0.02159  0.00738
KAvKI         6626808  82.53326  0.01728 17.44149  0.00000  0.00032  0.00765
KAvKN         6927152  88.47176  0.00586 11.51449  0.00000  0.00000  0.00790
KAvKL         6995528  88.45430  0.00466 11.53294  0.00000  0.00000  0.00811
KAvKZ         7050440  89.50495  0.00363 10.48319  0.00000  0.00000  0.00823
KAvKW         7060632  90.05763  0.01358  9.92860  0.00000  0.00000  0.00018
KAvKB         6725789  85.91721  0.00804 14.06699  0.00000  0.00000  0.00776
KAvKB(xc)     2288555  85.82271  0.00000 14.16973  0.00000  0.00000  0.00756
KAvKB(xn)     4437234  85.96594  0.01219 14.01400  0.00000  0.00000  0.00787
KAvKF         7096763  90.45952  0.00171  9.53084  0.00000  0.00000  0.00793
KAvKF(xc)     2416545  90.43982  0.00000  9.55240  0.00000  0.00000  0.00778
KAvKF(xn)     4680218  90.46970  0.00259  9.51971  0.00000  0.00000  0.00801
KQvKQ         5991660  22.24844 22.24844  0.56832 54.93479  0.00000  0.00000
KQvKC         6193023  33.37170 33.22293 14.86610 15.19726  3.34195  0.00005
KQvKR         6607151  36.59530 16.86916  5.07346 37.20775  4.25428  0.00005
KQvKD         6816115  46.23062 15.86769  2.78396 35.03339  0.08434  0.00000
KQvKG         6725789  76.09799  0.05839 23.71922  0.00000  0.12373  0.00067
KQvKI         7040936  79.67121  0.02014 20.30743  0.00000  0.00030  0.00092
KQvKN         7341280  87.45384  0.00643 12.53879  0.00000  0.00000  0.00094
KQvKL         7409656  88.96893  0.00537 11.02463  0.00000  0.00000  0.00107
KQvKZ         7464568  90.03035  0.00485  9.96370  0.00000  0.00000  0.00110
KQvKW         7474760  90.60722  0.01485  9.37785  0.00000  0.00000  0.00008
KQvKB         7139917  86.68870  0.00906 13.30140  0.00000  0.00000  0.00084
KQvKB(xc)     2429697  86.60821  0.00000 13.39155  0.00000  0.00000  0.00025
KQvKB(xn)     4710220  86.73022  0.01374 13.25490  0.00000  0.00000  0.00115
KQvKF         7510891  90.99220  0.00176  9.00519  0.00000  0.00000  0.00085
KQvKF(xc)     2557687  90.97489  0.00000  9.02483  0.00000  0.00000  0.00027
KQvKF(xn)     4953204  91.00114  0.00266  8.99505  0.00000  0.00000  0.00115
KCvKC         6394386  20.33277 20.33277  0.91974 58.41471  0.00000  0.00000
KCvKR         6808514  64.68586 16.61981  5.06522  0.00812 13.62099  0.00000
KCvKD         7017478  47.06165 15.11277  2.24237 35.52722  0.05599  0.00000
KCvKG         6927152  41.52274  0.06475 25.14881 32.11073  1.15288  0.00010
KCvKI         7242299  83.32444  0.02252 16.64358  0.00000  0.00933  0.00012
KCvKN         7542643  89.22945  0.00769 10.76049  0.00000  0.00225  0.00012
KCvKL         7611019  89.14254  0.00612 10.85110  0.00000  0.00000  0.00024
KCvKZ         7665931  90.19126  0.00489  9.80246  0.00000  0.00115  0.00023
KCvKW         7676123  90.73538  0.01704  9.24759  0.00000  0.00000  0.00000
KCvKB         7341280  85.77017  0.01005 14.21956  0.00000  0.00000  0.00022
KCvKB(xc)     2498113  85.63428  0.00000 14.36552  0.00000  0.00000  0.00020
KCvKB(xn)     4843167  85.84026  0.01524 14.14428  0.00000  0.00000  0.00023
KCvKF         7712254  91.13332  0.00209  8.86441  0.00000  0.00000  0.00018
KCvKF(xc)     2626103  91.11387  0.00000  8.88590  0.00000  0.00000  0.00023
KCvKF(xn)     5086151  91.14336  0.00317  8.85332  0.00000  0.00000  0.00016
KRvKR         7222642  15.78283 15.78283  0.32758 68.10677  0.00000  0.00000
KRvKD         7431606  23.77467 15.45913  3.86737 56.09272  0.80610  0.00000
KRvKG         7341280  23.78790  0.07446 29.22894 45.50904  1.39952  0.00015
KRvKI         7656427  25.43299  0.02576 19.79405 54.73915  0.00795  0.00010
KRvKN         7956771  88.02074  0.00871 11.96850  0.00000  0.00195  0.00010
KRvKL         8025147  89.56413  0.00687 10.42883  0.00000  0.00000  0.00017
KRvKZ         8080059  90.62314  0.00623  9.36937  0.00000  0.00109  0.00017
KRvKW         8090251  91.20118  0.01807  8.78075  0.00000  0.00000  0.00000
KRvKB         7755408  86.29627  0.01128 13.69229  0.00000  0.00000  0.00015
KRvKB(xc)     2639255  86.16397  0.00000 13.83595  0.00000  0.00000  0.00008
KRvKB(xn)     5116153  86.36452  0.01710 13.61818  0.00000  0.00000  0.00020
KRvKF         8126382  91.57085  0.00237  8.42665  0.00000  0.00000  0.00012
KRvKF(xc)     2767245  91.55312  0.00000  8.44678  0.00000  0.00000  0.00011
KRvKF(xn)     5359137  91.58001  0.00360  8.41626  0.00000  0.00000  0.00013
KDvKD         7640570  13.55063 13.55063  0.07209 72.82666  0.00000  0.00000
KDvKG         7550244  14.12357  0.22477 22.32952 60.45271  2.86943  0.00000
KDvKI         7865391  14.51531  0.08829 16.21296 69.18238  0.00106  0.00000
KDvKN         8165735  89.92284  0.04312 10.03404  0.00000  0.00000  0.00000
KDvKL         8234111  89.72025  0.02431 10.25544  0.00000  0.00000  0.00000
KDvKZ         8289023  90.84156  0.01719  9.14125  0.00000  0.00000  0.00000
KDvKW         8299215  91.49209  0.03257  8.46993  0.00541  0.00000  0.00000
KDvKB         7964372  87.21072  0.03211 12.75718  0.00000  0.00000  0.00000
KDvKB(xc)     2710644  87.15907  0.00000 12.84093  0.00000  0.00000  0.00000
KDvKB(xn)     5253728  87.23737  0.04867 12.71396  0.00000  0.00000  0.00000
KDvKF         8335346  91.85208  0.01016  8.13775  0.00000  0.00000  0.00000
KDvKF(xc)     2838634  91.86810  0.00000  8.13190  0.00000  0.00000  0.00000
KDvKF(xn)     5496712  91.84381  0.01541  8.14078  0.00000  0.00000  0.00000
KGvKG         7459918   0.10014  0.10014  0.00534 99.79439  0.00000  0.00000
KGvKI         7775065   0.13388  0.03532 19.92448 79.87280  0.03341  0.00012
KGvKN         8075409   0.32977  0.01032 11.95932 87.69888  0.00160  0.00012
KGvKL         8143785   0.43763  0.00906 10.38567 89.16747  0.00000  0.00016
KGvKZ         8198697   1.28506  0.00696  9.31553 89.39227  0.00000  0.00018
KGvKW         8208889   2.20579  0.02068  9.31677 88.45662  0.00000  0.00013
KGvKB         7874046   0.76849  0.01568 14.31836 84.89747  0.00000  0.00000
KGvKB(xc)     2679973   0.62422  0.00000 14.48112 84.89466  0.00000  0.00000
KGvKB(xn)     5194073   0.84292  0.02378 14.23438 84.89892  0.00000  0.00000
KGvKF         8245020   2.62503  0.00292  8.56532 88.80673  0.00000  0.00000
KGvKF(xc)     2807963   4.55900  0.00000  8.58402 86.85698  0.00000  0.00000
KGvKF(xn)     5437057   1.62623  0.00443  8.55566 89.81368  0.00000  0.00000
KIvKI         8090212   0.05577  0.05577  0.00255 99.88591  0.00000  0.00000
KIvKN         8390556   0.15590  0.01766 11.77599 88.04686  0.00359  0.00000
KIvKL         8458932   0.22412  0.01272 10.18824 89.57493  0.00000  0.00000
KIvKZ         8513844   0.30598  0.01271  9.11473 90.56554  0.00103  0.00000
KIvKW         8524036   0.38323  0.02209  9.44675 90.14793  0.00000  0.00000
KIvKB         8189193   0.23896  0.02430 14.06986 85.66677  0.00000  0.00011
KIvKB(xc)     2787275   0.02095  0.00000 14.22909 85.74995  0.00000  0.00000
KIvKB(xn)     5401918   0.35145  0.03684 13.98770 85.62385  0.00000  0.00017
KIvKF         8560167   0.34544  0.00359  8.37064 91.28033  0.00000  0.00000
KIvKF(xc)     2915265   0.20695  0.00000  8.38840 91.40466  0.00000  0.00000
KIvKF(xn)     5644902   0.41696  0.00544  8.36147 91.21613  0.00000  0.00000
KNvKN         8690900   0.06289  0.06289  0.00099 99.87322  0.00000  0.00000
KNvKL         8759276   0.13474  0.04248 10.01205 89.81073  0.00000  0.00000
KNvKZ         8814188   0.21193  0.03431  8.96587 90.78689  0.00100  0.00000
KNvKW         8824380   0.27375  0.03872 10.36418 89.32334  0.00000  0.00000
KNvKB         8489537   0.23972  0.05156 13.90808 85.80052  0.00000  0.00012
KNvKB(xc)     2889531   0.00806  0.00000 14.08509 85.90685  0.00000  0.00000
KNvKB(xn)     5600006   0.35925  0.07816 13.81675 85.74566  0.00000  0.00018
KNvKF         8860511   0.30195  0.01177  8.12826 91.55803  0.00000  0.00000
KNvKF(xc)     3017521   0.13074  0.00000  8.12770 91.74157  0.00000  0.00000
KNvKF(xn)     5842990   0.39037  0.01785  8.12854 91.46324  0.00000  0.00000
KLvKL         8827652   0.07930  0.07930  0.00113 99.84027  0.00000  0.00000
KLvKZ         8882564   0.16763  0.06652  8.79575 90.96911  0.00099  0.00000
KLvKW         8892756   0.22744  0.04834 99.69597  0.02825  0.00000  0.00000
KLvKB         8557913   0.24134  0.06268 13.67002 86.02587  0.00000  0.00009
KLvKB(xc)     2912888   0.00532  0.00106 13.83383 86.15978  0.00000  0.00000
KLvKB(xn)     5645025   0.36313  0.09447 13.58548 85.95677  0.00000  0.00014
KLvKF         8928887   0.28345  0.01974  8.04981 91.64700  0.00000  0.00000
KLvKF(xc)     3040878   0.08757  0.00026  8.06067 91.85150  0.00000  0.00000
KLvKF(xn)     5888009   0.38461  0.02981  8.04420 91.54139  0.00000  0.00000
KZvKZ         8937476   0.10948  0.10948  0.00141 99.77962  0.00000  0.00000
KZvKW         8947668   0.18553  0.06570 99.74876  0.00000  0.00000  0.00000
KZvKB         8612825   0.22883  0.06913 13.62042 86.08150  0.00000  0.00012
KZvKB(xc)     2931547   0.00478  0.00078 13.78566 86.20878  0.00000  0.00000
KZvKB(xn)     5681278   0.34445  0.10440 13.53516 86.01582  0.00000  0.00018
KZvKF         8983799   0.25914  0.03431  8.00766 91.69889  0.00000  0.00000
KZvKF(xc)     3059537   0.06903  0.00026  8.01425 91.91646  0.00000  0.00000
KZvKF(xn)     5924262   0.35733  0.05189  8.00425 91.58653  0.00000  0.00000
KWvKW         8957860   0.15125  0.15125  0.12936 99.56813  0.00000  0.00000
KWvKB         8623017   0.25771  0.07290 13.80004 85.86928  0.00000  0.00007
KWvKB(xc)     2935074   0.03707  0.00055 14.57626 85.38613  0.00000  0.00000
KWvKB(xn)     5687943   0.37156  0.11023 13.39950 86.11860  0.00000  0.00011
KWvKF         8993991   0.29231  0.06204  8.16834 91.47731  0.00000  0.00000
KWvKF(xc)     3063064   0.07058  0.00026  8.51703 91.41213  0.00000  0.00000
KWvKF(xn)     5930927   0.40682  0.09395  7.98826 91.51097  0.00000  0.00000
KBvKB         8288174   0.05575  0.05575  2.51221 97.37629  0.00000  0.00000
KBvKB(cc)      946226   0.00000  0.00000  0.00000 100.0000  0.00000  0.00000
KBvKB(cn)     1874889   0.00165  0.01456  5.54379 94.43999  0.00000  0.00000
KBvKB(dn)     1816950   0.14948  0.14948  0.00011 99.70093  0.00000  0.00000
KBvKB(nc)     1874889   0.01456  0.00165  5.54379 94.43999  0.00000  0.00000
KBvKB(sn)     1775220   0.09019  0.09019  0.01881 99.80081  0.00000  0.00000
KBvKF         8659148   0.07646  0.04421  6.88682 92.99251  0.00000  0.00000
KBvKF(cc)      986126   0.00000  0.00000  0.00000 100.0000  0.00000  0.00000
KBvKF(cn)     1961259   0.00158  0.00331  6.00410 93.99100  0.00000  0.00000
KBvKF(dn)     1900533   0.14291  0.19221  5.99085 93.67404  0.00000  0.00000
KBvKF(nc)     1962979   0.08533  0.00041  5.54952 94.36474  0.00000  0.00000
KBvKF(sn)     1848251   0.11898  0.00552 13.83957 86.03593  0.00000  0.00000
KFvKF         9030122   0.06004  0.06004  2.72876 97.15116  0.00000  0.00000
KFvKF(cc)     1026026   0.00000  0.00000  0.00000 100.0000  0.00000  0.00000
KFvKF(cn)     2049349   0.00039  0.03835  6.01118 93.95008  0.00000  0.00000
KFvKF(dn)     1984116   0.18411  0.18411  0.00010 99.63167  0.00000  0.00000
KFvKF(nc)     2049349   0.03835  0.00039  6.01118 93.95008  0.00000  0.00000
KFvKF(sn)     1921282   0.05075  0.05075  0.00146 99.89705  0.00000  0.00000

       Longest          Type Of Win
        WHITE            i.e. final
Two      Win   Number     outcome
Piece   half-    Of       assuming
Endgame moves Positions  best play    Example Position
------- ----- --------- ------------  -----------------------------------------
KAvKA      20        2  checkmate     WK(b7) WA(b2) BK(f2) BA(f8)    BLACK move
KAvKQ      26        1  checkmate     WK(b7) WA(d1) BK(d7) BQ(f8)    BLACK move
KAvKC      44        5  checkmate     WK(c8) WA(g5) BK(a1) BC(i7)    BLACK move
                     5  capture       WK(a6) WA(f4) BK(h8) BC(i7)    BLACK move
KAvKR      86       35  capture       WK(c7) WA(a4) BK(f7) BR(d9)    BLACK move
KAvKD      44       17  capture       WK(a6) WA(h9) BK(d6) BD(c8)    BLACK move
KAvKG      36      156  capture       WK(a6) WA(k6) BK(e6) BG(b7)    BLACK move
KAvKI      14        8  checkmate     WK(b7) WA(j1) BK(d7) BI(c8)    BLACK move
KAvKN       8    66748  checkmate     WK(b7) WA(c8) BK(d4) BN(a6)    BLACK move
                  4847  capture       WK(a6) WA(d9) BK(h4) BN(b7)    BLACK move
KAvKL       8    28369  checkmate     WK(c8) WA(d9) BK(e4) BL(a6)    BLACK move
                  1150  capture       WK(c8) WA(b7) BK(f6) BL(a6)    BLACK move
KAvKZ       8    18266  checkmate     WK(a6) WA(c8) BK(h5) BZ(b7)    BLACK move
                   214  capture       WK(a6) WA(c8) BK(g6) BZ(b7)    BLACK move
KAvKW      10       45  checkmate     WK(b7) WA(i8) BK(b5) BW(a5)    BLACK move
KAvKB(xc)  10       88  checkmate     WK(b7) WA(a2) BK(h4) BB(g10)   BLACK move
KAvKB(xn)  10      492  checkmate     WK(a6) WA(f1) BK(c8) BB(d9)    BLACK move
KAvKF(xc)   8     4241  checkmate     WK(f6) WA(k1) BK(a6) BF(b7)    BLACK move
                    70  capture       WK(e7) WA(g10) BK(c5) BF(b7)   BLACK move
KAvKF(xn)  10        4  checkmate     WK(c8) WA(k4) BK(c6) BF(a4)    BLACK move
KQvKQ      24        1  checkmate     WK(e7) WQ(f8) BK(b6) BQ(j1)    BLACK move
KQvKC      32        4  capture       WK(e6) WQ(g2) BK(g10) BC(c2)   BLACK move
KQvKR      47        1  capture       WK(e6) WQ(f1) BK(e10) BR(a4)   WHITE move
KQvKD      26       21  capture       WK(c8) WQ(e1) BK(b2) BD(e10)   BLACK move
KQvKG      78        7  checkmate     WK(c8) WQ(i7) BK(e7) BG(f11)   BLACK move
KQvKI      24       57  checkmate     WK(a6) WQ(f11) BK(e6) BI(b7)   BLACK move
                   137  capture       WK(a6) WQ(b7) BK(f6) BI(c8)    BLACK move
KQvKN      20     3843  checkmate     WK(b7) WQ(d9) BK(e5) BN(a6)    BLACK move
                  1308  capture       WK(a6) WQ(a5) BK(d6) BN(b7)    BLACK move
KQvKL      16     6958  checkmate     WK(c8) WQ(a4) BK(f5) BL(a6)    BLACK move
                  3337  capture       WK(a6) WQ(a5) BK(h4) BL(c8)    BLACK move
KQvKZ      16     1542  checkmate     WK(a6) WQ(c8) BK(i6) BZ(b7)    BLACK move
                   173  capture       WK(a6) WQ(g10) BK(i5) BZ(b7)   BLACK move
KQvKW      28     1103  checkmate     WK(a6) WQ(b7) BK(f6) BW(c6)    BLACK move
                  1170  capture       WK(a6) WQ(b7) BK(f6) BW(d7)    BLACK move
KQvKB(xc)  20      250  checkmate     WK(a6) WQ(a2) BK(f6) BB(b7)    BLACK move
KQvKB(xn)  20      276  checkmate     WK(a6) WQ(d6) BK(h5) BB(d9)    BLACK move
KQvKF(xc)  18    13254  checkmate     WK(a6) WQ(f11) BK(g5) BF(d8)   BLACK move
                   616  capture       WK(a6) WQ(b7) BK(h4) BF(e7)    BLACK move
KQvKF(xn)  18     9349  checkmate     WK(a6) WQ(a1) BK(f7) BF(e9)    BLACK move
                  1053  capture       WK(a6) WQ(a1) BK(f7) BF(d7)    BLACK move
KCvKC      14        6  checkmate     WK(a6) WC(f11) BK(e8) BC(c7)   BLACK move
                    14  capture       WK(c7) WC(j7) BK(e6) BC(e8)    BLACK move
KCvKR     134        3  capture       WK(a6) WC(i1) BK(g5) BR(j5)    BLACK move
KCvKD      30       13  capture       WK(b7) WC(i1) BK(e1) BD(d9)    BLACK move
KCvKG      47        4  capture       WK(d6) WC(d2) BK(d9) BG(j7)    WHITE move
KCvKI      31        3  checkmate     WK(b7) WC(b4) BK(d5) BI(e9)    WHITE move
                     3  capture       WK(b6) WC(e9) BK(f8) BI(c4)    WHITE move
KCvKN      24       21  checkmate     WK(a6) WC(d8) BK(f6) BN(c7)    BLACK move
KCvKL      14        4  checkmate     WK(b7) WC(a4) BK(i4) BL(c6)    BLACK move
                   511  capture       WK(c8) WC(b7) BK(g5) BL(a6)    BLACK move
KCvKZ      14      101  capture       WK(a6) WC(c8) BK(i4) BZ(b7)    BLACK move
KCvKW      18     1200  checkmate     WK(a6) WC(b7) BK(i5) BW(f7)    BLACK move
                  3008  capture       WK(a6) WC(c8) BK(i4) BW(f7)    BLACK move
KCvKB(xc)  24       39  checkmate     WK(a6) WC(j1) BK(g5) BB(d8)    BLACK move
                   260  capture       WK(b7) WC(j4) BK(f5) BB(e10)   BLACK move
KCvKB(xn)  24     1040  checkmate     WK(a6) WC(d8) BK(h4) BB(d9)    BLACK move
                  3553  capture       WK(a6) WC(b3) BK(f6) BB(c8)    BLACK move
KCvKF(xc)  24       11  checkmate     WK(a6) WC(j3) BK(h7) BF(h5)    BLACK move
                    40  capture       WK(b7) WC(i2) BK(f5) BF(f6)    BLACK move
KCvKF(xn)  24     1413  checkmate     WK(a6) WC(b1) BK(g6) BF(e8)    BLACK move
                   109  capture       WK(a6) WC(i4) BK(e6) BF(f7)    BLACK move
KRvKR      13        3  capture       WK(c7) WR(b6) BK(e9) BR(f7)    WHITE move
KRvKD      55       14  capture       WK(e7) WR(i7) BK(a6) BD(k4)    WHITE move
KRvKG      26        1  capture       WK(c8) WR(c6) BK(a6) BG(j1)    BLACK move
KRvKI      82        2  capture       WK(c8) WR(i5) BK(a6) BI(e9)    BLACK move
KRvKN      81        2  capture       WK(b6) WR(e9) BK(f8) BN(c4)    WHITE move
KRvKL      38       56  checkmate     WK(c8) WR(b2) BK(c6) BL(a6)    BLACK move
                   149  capture       WK(c8) WR(f11) BK(c6) BL(a6)   BLACK move
KRvKZ      32        9  checkmate     WK(c8) WR(e9) BK(f8) BZ(d9)    BLACK move
KRvKW     112        6  capture       WK(a6) WR(d9) BK(d7) BW(c7)    BLACK move
KRvKB(xc)  60        1  checkmate     WK(c6) WR(e9) BK(g7) BB(k5)    BLACK move
KRvKB(xn)  60        2  checkmate     WK(a6) WR(d5) BK(d8) BB(d6)    BLACK move
KRvKF(xc)  48       32  capture       WK(a6) WR(b6) BK(d6) BF(b7)    BLACK move
KRvKF(xn)  52      114  capture       WK(a6) WR(f7) BK(c6) BF(d9)    BLACK move
KDvKD      19       33  capture       WK(c8) WD(g6) BK(g10) BD(b2)   WHITE move
KDvKG      14       11  capture       WK(b7) WD(d2) BK(c4) BG(c7)    BLACK move
KDvKI      21       15  checkmate     WK(d7) WD(d9) BK(f11) BI(a6)   WHITE move
KDvKN      50       42  capture       WK(c8) WD(f1) BK(e4) BN(a6)    BLACK move
KDvKL      38        3  checkmate     WK(b7) WD(k1) BK(h5) BL(c6)    BLACK move
                    50  capture       WK(b7) WD(k1) BK(h5) BL(a5)    BLACK move
KDvKZ      38      743  checkmate     WK(b7) WD(k1) BK(i3) BZ(a6)    BLACK move
KDvKW      54       73  checkmate     WK(a6) WD(k6) BK(i6) BW(c7)    BLACK move
KDvKB(xc)  62     1307  checkmate     WK(b7) WD(d9) BK(d7) BB(e10)   BLACK move
KDvKB(xn)  60       78  checkmate     WK(a6) WD(k1) BK(h5) BB(d9)    BLACK move
KDvKF(xc)  32      155  checkmate     WK(b7) WD(k4) BK(d7) BF(e10)   BLACK move
KDvKF(xn)  32      312  capture       WK(a6) WD(k1) BK(h5) BF(d9)    BLACK move
KGvKG      11       19  checkmate     WK(d7) WG(e10) BK(b7) BG(k4)   WHITE move
KGvKI      11       49  checkmate     WK(d7) WG(e10) BK(b7) BI(k3)   WHITE move
KGvKN      19        4  checkmate     WK(e6) WG(k5) BK(f11) BN(b1)   WHITE move
KGvKL      21        5  checkmate     WK(d7) WG(h5) BK(f11) BL(e2)   WHITE move
KGvKZ      43        9  checkmate     WK(c6) WG(a2) BK(c8) BZ(d9)    WHITE move
KGvKW      51       58  checkmate     WK(e7) WG(b1) BK(f1) BW(c8)    WHITE move
KGvKB(xc)  19        1  checkmate     WK(d7) WG(b3) BK(f11) BB(g10)  WHITE move
KGvKB(xn)  21       13  checkmate     WK(f6) WG(d9) BK(a6) BB(c8)    WHITE move
KGvKF(xc)  59        4  checkmate     WK(e7) WG(f7) BK(f1) BF(a5)    WHITE move
KGvKF(xn)  42        1  checkmate     WK(d6) WG(f2) BK(b6) BF(k4)    BLACK move
KIvKI       5      131  checkmate     WK(d7) WI(c8) BK(b7) BI(f11)   WHITE move
KIvKN       9       44  checkmate     WK(d7) WI(e10) BK(b7) BN(k5)   WHITE move
KIvKL       9       27  checkmate     WK(d7) WI(d9) BK(b7) BL(i2)    WHITE move
KIvKZ      15       39  checkmate     WK(d7) WI(f11) BK(b7) BZ(a6)   WHITE move
KIvKW      15      106  checkmate     WK(d7) WI(b4) BK(b7) BW(i8)    WHITE move
KIvKB(xc)   3       11  checkmate     WK(d7) WI(f11) BK(a6) BB(a5)   WHITE move
KIvKB(xn)   7      151  checkmate     WK(e6) WI(c8) BK(a6) BB(d9)    WHITE move
KIvKF(xc)   9       87  checkmate     WK(d7) WI(e10) BK(b7) BF(j7)   WHITE move
KIvKF(xn)  15        3  checkmate     WK(d7) WI(b4) BK(b7) BF(k1)    WHITE move
KNvKN       9       27  checkmate     WK(d7) WN(c8) BK(b7) BN(k5)    WHITE move
KNvKL       9      343  checkmate     WK(d8) WN(b1) BK(a6) BL(e10)   WHITE move
KNvKZ      11      120  checkmate     WK(d7) WN(c7) BK(b7) BZ(a6)    WHITE move
KNvKW      11      286  checkmate     WK(d7) WN(c7) BK(b7) BW(f11)   WHITE move
KNvKB(xc)   3        6  checkmate     WK(d7) WN(f11) BK(a6) BB(a5)   WHITE move
KNvKB(xn)   9     1453  checkmate     WK(d8) WN(a5) BK(a6) BB(c8)    WHITE move
KNvKF(xc)  11       12  checkmate     WK(d7) WN(c7) BK(b7) BF(k2)    WHITE move
KNvKF(xn)  13       79  checkmate     WK(d7) WN(c7) BK(b7) BF(f11)   WHITE move
KLvKL       7      156  checkmate     WK(d8) WL(c8) BK(a6) BL(e9)    WHITE move
KLvKZ      11      224  checkmate     WK(d8) WL(f10) BK(a6) BZ(f9)   WHITE move
KLvKW      15       65  checkmate     WK(d7) WL(g6) BK(b7) BW(j7)    WHITE move
KLvKB(xc)   1      128  checkmate     WK(d7) WL(b7) BK(d9) BB(e10)   WHITE move
KLvKB(xn)  17       62  checkmate     WK(d7) WL(j7) BK(b7) BB(a6)    WHITE move
KLvKF(xc)   7      233  checkmate     WK(d8) WL(d9) BK(a6) BF(k5)    WHITE move
KLvKF(xn)  15      118  checkmate     WK(d7) WL(j7) BK(b7) BF(a6)    WHITE move
KZvKZ      19       72  checkmate     WK(c6) WZ(e10) BK(a6) BZ(f9)   WHITE move
KZvKW      15        7  checkmate     WK(d8) WZ(k1) BK(a6) BW(j7)    WHITE move
KZvKB(xc)   1      115  checkmate     WK(d7) WZ(a6) BK(b7) BB(a5)    WHITE move
KZvKB(xn)  13      920  checkmate     WK(d8) WZ(e10) BK(a6) BB(c8)   WHITE move
KZvKF(xc)   7      155  checkmate     WK(d8) WZ(c8) BK(a6) BF(k2)    WHITE move
KZvKF(xn)  13      344  checkmate     WK(d8) WZ(f11) BK(a6) BF(d9)   WHITE move
KWvKW      15       45  capture       WK(d8) WW(i8) BK(a6) BW(k1)    WHITE move
KWvKB(xc)   5       28  checkmate     WK(d7) WW(d8) BK(b7) BB(e10)   WHITE move
KWvKB(xn)  27      102  checkmate     WK(d8) WW(k1) BK(a6) BB(d9)    WHITE move
KWvKF(xc)   7      101  checkmate     WK(d7) WW(d9) BK(b7) BF(g10)   WHITE move
KWvKF(xn)  27       36  checkmate     WK(d8) WW(k1) BK(a6) BF(h6)    WHITE move
KBvKB(cc)   0        0
KBvKB(cn)   1       26  checkmate     WK(d7) WB(e10) BK(b7) BB(a6)   WHITE move
KBvKB(dn)   3     1965  checkmate     WK(d8) WB(d9) BK(a6) BB(c8)    WHITE move
KBvKB(nc)   1      186  checkmate     WK(d7) WB(a6) BK(d9) BB(e10)   WHITE move
KBvKB(sn)   7      146  checkmate     WK(d8) WB(k3) BK(a6) BB(d9)    WHITE move
KBvKF(cc)   0        0
KBvKF(cn)   1       26  checkmate     WK(d7) WB(e10) BK(b7) BF(a6)   WHITE move
KBvKF(dn)   3     1965  checkmate     WK(d8) WB(d9) BK(a6) BF(c8)    WHITE move
KBvKF(nc)   3     1123  checkmate     WK(d8) WB(d9) BK(a6) BF(g10)   WHITE move
KBvKF(sn)   5      462  checkmate     WK(d8) WB(h9) BK(a6) BF(d9)    WHITE move
KFvKF(cc)   0        0
KFvKF(cn)   1        6  checkmate     WK(d7) WF(b4) BK(b7) BF(a6)    WHITE move
KFvKF(dn)  11      314  checkmate     WK(d8) WF(k3) BK(a6) BF(c8)    WHITE move
KFvKF(nc)   7       55  checkmate     WK(d8) WF(h9) BK(a6) BF(k2)    WHITE move
KFvKF(sn)   7      123  checkmate     WK(d8) WF(h6) BK(a6) BF(k6)    WHITE move

       Longest          Type Of Win
        BLACK            i.e. final
Two      Win   Number     outcome
Piece   half-    Of       assuming
Endgame moves Positions  best play    Example Position
------- ----- --------- ------------  -----------------------------------------
KAvKA      20        2  checkmate     WK(a6) WA(g5) BK(j6) BA(e10)   WHITE move
KAvKQ      24        1  checkmate     WK(b6) WA(j1) BK(e7) BQ(f8)    WHITE move
KAvKC       9      109  capture       WK(b7) WA(b1) BK(d9) BC(f11)   BLACK move
KAvKR       5       61  checkmate     WK(a6) WA(h8) BK(d7) BR(c4)    BLACK move
KAvKD       5      149  checkmate     WK(a6) WA(i7) BK(d7) BD(a2)    BLACK move
KAvKG       3      119  checkmate     WK(a6) WA(i4) BK(c6) BG(f10)   BLACK move
KAvKI       1     1023  checkmate     WK(a6) WA(f10) BK(c6) BI(b7)   BLACK move
KAvKN       1      350  checkmate     WK(a6) WA(f10) BK(c6) BN(b7)   BLACK move
KAvKL       1      272  checkmate     WK(a6) WA(f11) BK(c6) BL(c8)   BLACK move
KAvKZ       1      208  checkmate     WK(a6) WA(f11) BK(c6) BZ(b7)   BLACK move
KAvKW       1      664  checkmate     WK(a6) WA(b7) BK(c6) BW(c8)    BLACK move
                    54  capture       WK(a6) WA(c7) BK(d6) BW(c8)    BLACK move
KAvKB(xc)   0        0
KAvKB(xn)   3       77  checkmate     WK(a6) WA(b2) BK(c6) BB(f10)   BLACK move
KAvKF(xc)   0        0
KAvKF(xn)   1       89  checkmate     WK(a6) WA(f11) BK(c6) BF(d9)   BLACK move
KQvKQ      24        1  checkmate     WK(b6) WQ(j1) BK(e7) BQ(f8)    WHITE move
KQvKC      27       15  capture       WK(e6) WQ(b2) BK(g7) BC(g10)   BLACK move
KQvKR       5       73  checkmate     WK(a6) WQ(e10) BK(d7) BR(c4)   BLACK move
KQvKD      13       11  checkmate     WK(a6) WQ(e2) BK(d7) BD(e10)   BLACK move
KQvKG       3      176  checkmate     WK(a6) WQ(a3) BK(c6) BG(d9)    BLACK move
KQvKI       1     1259  checkmate     WK(a6) WQ(d9) BK(c6) BI(b7)    BLACK move
KQvKN       1      406  checkmate     WK(a6) WQ(d9) BK(c6) BN(b7)    BLACK move
KQvKL       1      333  checkmate     WK(a6) WQ(f11) BK(c6) BL(c8)   BLACK move
KQvKZ       1      295  checkmate     WK(a6) WQ(f11) BK(c6) BZ(b7)   BLACK move
KQvKW       1      775  checkmate     WK(a6) WQ(b7) BK(c6) BW(c8)    BLACK move
                    54  capture       WK(a6) WQ(c7) BK(d6) BW(c8)    BLACK move
KQvKB(xc)   0        0
KQvKB(xn)   3       99  checkmate     WK(a6) WQ(a3) BK(c6) BB(d9)    BLACK move
KQvKF(xc)   0        0
KQvKF(xn)   1       97  checkmate     WK(a6) WQ(f11) BK(c6) BF(d9)   BLACK move
KCvKC      14        6  checkmate     WK(d7) WC(e9) BK(f11) BC(a6)   WHITE move
                    14  capture       WK(a6) WC(e6) BK(f8) BC(c8)    WHITE move
KCvKR      11        2  capture       WK(a6) WC(f6) BK(e7) BR(c7)    BLACK move
KCvKD       8        1  capture       WK(b7) WC(e5) BK(d6) BD(a4)    WHITE move
KCvKG       3      173  checkmate     WK(a6) WC(a5) BK(c6) BG(b7)    BLACK move
KCvKI       1     1439  checkmate     WK(a6) WC(e10) BK(c6) BI(b7)   BLACK move
KCvKN       1      497  checkmate     WK(a6) WC(e10) BK(c6) BN(b7)   BLACK move
KCvKL       1      388  checkmate     WK(a6) WC(b7) BK(c6) BL(c8)    BLACK move
KCvKZ       1      299  checkmate     WK(a6) WC(e10) BK(c6) BZ(b7)   BLACK move
KCvKW       1      918  checkmate     WK(a6) WC(b7) BK(c6) BW(c8)    BLACK move
                    54  capture       WK(a6) WC(c7) BK(d6) BW(c8)    BLACK move
KCvKB(xc)   0        0
KCvKB(xn)   3       81  checkmate     WK(a6) WC(a5) BK(c6) BB(d9)    BLACK move
KCvKF(xc)   0        0
KCvKF(xn)   1      117  checkmate     WK(a6) WC(f11) BK(c6) BF(d9)   BLACK move
KRvKR      13        3  capture       WK(c7) WR(e6) BK(e9) BR(f10)   BLACK move
KRvKD      15       13  capture       WK(a6) WR(f3) BK(c8) BD(e10)   BLACK move
KRvKG       3      168  checkmate     WK(a6) WR(a5) BK(c6) BG(b7)    BLACK move
KRvKI       1     1728  checkmate     WK(a6) WR(d9) BK(c6) BI(b7)    BLACK move
KRvKN       1      593  checkmate     WK(a6) WR(d9) BK(c6) BN(b7)    BLACK move
KRvKL       1      458  checkmate     WK(a6) WR(b7) BK(c6) BL(c8)    BLACK move
KRvKZ       1      403  checkmate     WK(a6) WR(e10) BK(c6) BZ(b7)   BLACK move
KRvKW       1     1030  checkmate     WK(a6) WR(b7) BK(c6) BW(c8)    BLACK move
                    54  capture       WK(a6) WR(c7) BK(d6) BW(c8)    BLACK move
KRvKB(xc)   0        0
KRvKB(xn)   3       72  checkmate     WK(a6) WR(b7) BK(c6) BB(d9)    BLACK move
KRvKF(xc)   0        0
KRvKF(xn)   1      140  checkmate     WK(a6) WR(e10) BK(c6) BF(d9)   BLACK move
KDvKD      19       33  capture       WK(c7) WD(j2) BK(e7) BD(g8)    BLACK move
KDvKG      13        5  checkmate     WK(b7) WD(k1) BK(e9) BG(i8)    BLACK move
KDvKI       5      251  checkmate     WK(b7) WD(i8) BK(d7) BI(c8)    BLACK move
KDvKN       5      104  checkmate     WK(a6) WD(k1) BK(d8) BN(c8)    BLACK move
KDvKL       3     1205  checkmate     WK(a6) WD(i8) BK(d8) BL(c8)    BLACK move
KDvKZ       5        7  checkmate     WK(a6) WD(k4) BK(d8) BZ(k6)    BLACK move
KDvKW       5      121  checkmate     WK(a6) WD(k1) BK(e6) BW(c8)    BLACK move
KDvKB(xc)   0        0
KDvKB(xn)   5       21  checkmate     WK(a6) WD(i4) BK(d8) BB(h9)    BLACK move
KDvKF(xc)   0        0
KDvKF(xn)   5       25  checkmate     WK(a6) WD(k1) BK(d8) BF(f10)   BLACK move
KGvKG      11       19  checkmate     WK(b7) WG(k4) BK(d7) BG(e10)   BLACK move
KGvKI       5       22  checkmate     WK(b7) WG(j2) BK(d7) BI(c8)    BLACK move
KGvKN       3       91  checkmate     WK(a6) WG(k6) BK(c6) BN(e9)    BLACK move
KGvKL       3      117  checkmate     WK(a6) WG(j2) BK(d8) BL(c7)    BLACK move
KGvKZ       3       64  checkmate     WK(a6) WG(k6) BK(d8) BZ(b7)    BLACK move
KGvKW       5        1  checkmate     WK(b7) WG(j1) BK(d7) BW(d8)    BLACK move
KGvKB(xc)   0        0
KGvKB(xn)   5      217  checkmate     WK(a6) WG(k4) BK(d8) BB(d9)    BLACK move
KGvKF(xc)   0        0
KGvKF(xn)   3       33  checkmate     WK(a6) WG(k1) BK(d8) BF(d9)    BLACK move
KIvKI       5      131  checkmate     WK(b7) WI(f11) BK(d7) BI(c8)   BLACK move
KIvKN       3      551  checkmate     WK(a6) WI(h6) BK(d8) BN(b7)    BLACK move
KIvKL       3      315  checkmate     WK(a6) WI(h7) BK(c6) BL(f11)   BLACK move
KIvKZ       7       10  checkmate     WK(a6) WI(f4) BK(c6) BZ(e8)    BLACK move
KIvKW       5        1  checkmate     WK(b7) WI(k2) BK(d7) BW(d8)    BLACK move
KIvKB(xc)   0        0
KIvKB(xn)   5      492  checkmate     WK(a6) WI(h6) BK(d8) BB(d9)    BLACK move
KIvKF(xc)   0        0
KIvKF(xn)   3       67  checkmate     WK(a6) WI(h7) BK(d8) BF(d9)    BLACK move
KNvKN       9       27  checkmate     WK(b7) WN(k5) BK(d7) BN(c8)    BLACK move
KNvKL       7        8  checkmate     WK(a6) WN(g2) BK(c6) BL(d8)    BLACK move
KNvKZ      11       18  checkmate     WK(a6) WN(k5) BK(d8) BZ(e9)    BLACK move
KNvKW       7       21  checkmate     WK(a6) WN(k5) BK(e6) BW(c8)    BLACK move
                    34  capture       WK(a6) WN(k5) BK(e8) BW(c7)    BLACK move
KNvKB(xc)   0        0
KNvKB(xn)   5      692  checkmate     WK(a6) WN(f9) BK(d8) BB(d9)    BLACK move
KNvKF(xc)   0        0
KNvKF(xn)   7       16  checkmate     WK(a6) WN(c8) BK(d8) BF(d9)    BLACK move
KLvKL       7      156  checkmate     WK(a6) WL(d6) BK(c6) BL(b7)    BLACK move
KLvKZ       9      287  checkmate     WK(a6) WL(e10) BK(d8) BZ(e9)   BLACK move
KLvKW       7      105  checkmate     WK(a6) WL(i2) BK(e6) BW(c8)    BLACK move
KLvKB(xc)   1       26  checkmate     WK(b7) WL(a6) BK(d7) BB(e10)   BLACK move
KLvKB(xn)   5      771  checkmate     WK(a6) WL(c7) BK(d8) BB(d9)    BLACK move
KLvKF(xc)   1        6  checkmate     WK(b7) WL(a6) BK(d7) BF(b4)    BLACK move
KLvKF(xn)   9       79  checkmate     WK(a6) WL(e10) BK(d8) BF(f10)  BLACK move
KZvKZ      19       72  checkmate     WK(a6) WZ(f9) BK(c6) BZ(e10)   BLACK move
KZvKW      13       64  checkmate     WK(a6) WZ(j7) BK(d8) BW(e10)   BLACK move
KZvKB(xc)   1       20  checkmate     WK(b7) WZ(a6) BK(d7) BB(e10)   BLACK move
KZvKB(xn)   5      308  checkmate     WK(a6) WZ(e8) BK(d8) BB(f10)   BLACK move
KZvKF(xc)   1        6  checkmate     WK(b7) WZ(a6) BK(d7) BF(b4)    BLACK move
KZvKF(xn)   9       53  checkmate     WK(a6) WZ(j7) BK(d8) BF(h9)    BLACK move
KWvKW      15       45  capture       WK(a6) WW(k1) BK(d8) BW(i8)    BLACK move
KWvKB(xc)   1       14  checkmate     WK(b7) WW(a6) BK(d7) BB(e10)   BLACK move
KWvKB(xn)   3     4418  checkmate     WK(a6) WW(f11) BK(d8) BB(d9)   BLACK move
KWvKF(xc)   1        6  checkmate     WK(b7) WW(a6) BK(d7) BF(b4)    BLACK move
KWvKF(xn)  11      169  checkmate     WK(a6) WW(j7) BK(d8) BF(k3)    BLACK move
KBvKB(cc)   0        0
KBvKB(cn)   1      186  checkmate     WK(a6) WB(a5) BK(c8) BB(d9)    BLACK move
KBvKB(dn)   3     1965  checkmate     WK(a6) WB(c8) BK(d8) BB(d9)    BLACK move
KBvKB(nc)   1       26  checkmate     WK(b7) WB(a6) BK(d7) BB(e10)   BLACK move
KBvKB(sn)   7      146  checkmate     WK(a6) WB(d9) BK(d8) BB(k3)    BLACK move
KBvKF(cc)   0        0
KBvKF(cn)   1       47  checkmate     WK(a6) WB(a5) BK(c8) BF(d9)    BLACK move
KBvKF(dn)  11      314  checkmate     WK(a6) WB(c8) BK(d8) BF(k3)    BLACK move
KBvKF(nc)   1        6  checkmate     WK(b7) WB(a6) BK(d7) BF(b4)    BLACK move
KBvKF(sn)   3       31  checkmate     WK(a6) WB(g8) BK(c6) BF(e8)    BLACK move
KFvKF(cc)   0        0
KFvKF(cn)   7       55  checkmate     WK(a6) WF(k2) BK(d8) BF(h9)    BLACK move
KFvKF(dn)  11      314  checkmate     WK(a6) WF(c8) BK(d8) BF(k3)    BLACK move
KFvKF(nc)   1        6  checkmate     WK(b7) WF(a6) BK(d7) BF(b4)    BLACK move
KFvKF(sn)   7      123  checkmate     WK(a6) WF(k3) BK(d8) BF(h9)    BLACK move


Written by Dave McCooey. Webpage made by Hans Bodlaender
WWW page created: April 19, 2000. Last modified: February 14, 2001.