[Retros] Total Number of Moves
Olli Heimo
olli.heimo at luukku.com
Wed May 16 00:39:51 EDT 2007
It seems that You missed the fact that wKg7xbBh8 is illegal.
peufe at tin.it kirjoitti 15.05.2007 kello 13:21:
> >From Franco Fedeli
> Italy
> Hi friends, I asked myself: " How many different moves in chess?"
> I had fun trying to compute them.
> Two moves are different if they differ for at least one of these
> elements:
> 1) Piece to be moved (K,B,N,R,Q,P)
> 2) Starting square
> 3) Final square
> 4) Piece captured (Nothing, B,N,R,Q,P)
> 5) Piece promoted (B,N,R,Q)
> En Passant captures will be considered different from normal ones.
> We must add O-O and O-O-O.
> This is my counting:
>
> QUEEN :
>
> Starting Squares (N) Final Squares (F)
> With
> Pawn captures (A) No Pawn captures(B) Moves
> M=N*(6*A+5*B)
> (From each one)
> Corners
> (a1,a8,h1,h8) 4 21
> 12 9
> 468
>
> 1 and 8 rank
> (No corners) 12 21
> 13 8
> 1416
>
> a and h file
> (No corners) 12 21
> 17 4
> 1464
>
>
> b2,g2,g7,b7 4 23
> 18 5
> 532
>
> Boundary
> b2>g2>g7>b7 16 23
> 19 4
> 2144
> (No corners)
>
> c3,f3,f6,c6 4 25
> 20 5
> 580
>
> Boundary
> c3>f3>f6>c6 8 25
> 21 4
> 1168
> (No corners)
>
> d4,e4,e5,d5 4 27
> 22 5
> 628
>
>
>
> --------------
>
> Queen's Total
> (Q) 8400
>
> ROOK :
>
> 1 and 8 rank 16 14
> 6 8
> 1216
>
> all the others 48 14
> 12 2
> 3936
>
>
> -----------
>
> Rook's Total
> (R) 5152
>
>
> BISHOP :
>
> Corners
> (a1,a8,h1,h8) 4 7
> 6 1
> 164
>
> 1 and 8 rank
> (No corners) 12 7
> 7 0
> 504
>
> a and h file
> (No corners) 12 7
> 5 2
> 480
>
> b2,g2,g7,b7 4 9
> 6 3
> 204
>
> Boundary
> b2>g2>g7>b7 16 9
> 7 2
> 832
> (No corners)
>
> c3,f3,f6,c6 4 11
> 8 3
> 252
>
> Boundary
> c3>f3>f6>c6 8 11
> 9 2
> 512
> (No corners)
>
> d4,e4,e5,d5 4 13
> 10 3
> 300
>
>
> --------------
>
>
> Bishop's Total (B) 3248
>
> We see that Q=R+B how it must be.
>
>
>
>
> KNIGHT:
>
> a1,a8,h1,h8 4 2
> 2 0
> 48
>
> b1,g1,b8,g8 4 3
> 3 0
> 72
>
> c1,c8,d1,d8
> e1,e8,f1,f8 8 4
> 4 0
> 192
>
> a2,a7,h2,h7 4 3
> 2 1
> 68
>
> b2,b7,g2,g7 4 4
> 3 1
> 92
>
> c2,c7,d2,d7
> e2,e7,f2,f7 8 6
> 4 2
> 272
>
> a3,h3,a6,h6 4 4
> 3 1
> 92
>
> b3,b6,g3,g6 4 6
> 4 2
> 136
>
> c3,c6,d3,d6
> e3,e6,f3,f6 8 8
> 6 2
> 368
>
> a4,a5,h4,h5 4 4
> 4 0
> 96
>
> b4,b5,g4,g5 4 6
> 6 0
> 144
>
> c4,c5,d4,d5
> e4,e5,f4,f5 8 8
> 8 0
> 384
>
>
> ------------
>
> Knight's
> Total (N) 1964
>
> KING:
>
> a1,a8,h1,h8 4 3
> 2 1
> 68
>
> 1 and 8 rank
> (No corners) 12 5
> 3 2
> 336
>
> a2,h2,a7,h7 4 5
> 3 2
> 112
>
> b2,b7,c2,c7
> d2,d7,e2,e7
> f2,f7,g2,g7 12 8
> 5 3
> 540
>
> a3,a4,a5
> h3,h4,h5 6 5
> 5 0
> 180
>
> a6,h6 2 5
> 4 (Ka6xPb7 is illegal) 1
> 58
>
> Rectangle
> b3>g3>g5>h5 18 8
> 8 0
> 864
>
> b6,c6,d6
> e6,f6,g6 6 8
> 6 2
> 276
>
>
> ---------------
>
>
> King's Total (K) 2434
>
> WHITE PAWN:
>
> Starting Squares (N) Final Squares (F)
> With
> captures (A) No captures (B)
> Moves M=N*(5*A+B)
> from each one
>
>
>
>
> a2,h2 2 3
> 1 2
> 14
>
> b2,c2,d2
> e2,f2,g2 6 4
> 2 2
> 72
>
> a3,a4,a6
> h3,h4,h6 6 2
> 1 1
> 36
>
> b3,b4,b6
> c3,c4,c6
> d3,d4,d6
> e3,e4,e6 18 3
> 2 1
> 198
> f3,f4,f6
> g3,g4,g6
>
> M=N*(6*A+B)
>
> a5,h5 2 2
> 1 (en passant too) 1
> 14
>
> b5,c5,d5
> e5,f5,g5 6 3
> 2 1
> 78
>
>
>
>
>
> M=4*N*(4*A+B)
>
> a7,h7 2 2
> 1 (with promotions) 1
> 40
>
> b7,c7,d7
> e7,f7,g7 6 3
> 2 1
> 216
>
>
> ------------------
>
>
>
> Pawn's Total (P) 668
>
> SUMMARY:
>
> QUEEN: 8400
> ROOK: 5152
> BISHOP: 3248
> KNIGHT: 1964
> KING: 2434
> PAWN: 668
> O-O 1
> O-O-O 1
> --------------
> WHITE: 21868
> BLACK: 21868
> ---------------
>
> TOTAL NUMBER OF CHESS MOVES: 43736
>
> I hope all is correct.
> Did you ever play all these chess moves in your playing career?
> Maybe no, especially because the unusual underpromotions with
> captures........
> Bye
>
> Franco Fedeli
>
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