1) +B4c +Rx4c G'2b
2) R'1b Lx1b +B2d
3) S'2b Rx2b B2d+ Sx2d S'1d
4) R'1a Kx1a B'3c Sx3c R2a+
5) G'2b Kx2b L'2c Kx2c Rx2a+ X'2b N'3e (N.B.: The X in the solution means that whatever piece white drops in between, the solution is the same. So there is no relation to the new Spike Lee movie :-).
6) B'2a Kx3a B3b+ Kx3b Rx4a+ Kx4a G'4b
1) G'1b Gx1b R2d+
2) +B3b Gx3b (Kx3b G'2b; K1c R1d) G'2d
3) R'4c Sx4c (X'3c Bx3c+ Sx3c +B2b) B3c+ Kx3c +B2b
4) B'1b Lx1b (K1d R'1e) +B2b Kx2b R'2a
5) +R3b Gx3b B3d+ K1c P1d Kx1d +B2d
6) R'1b L2b (K3c G'4c K2d R1e+; X'1b G'4c K3/4a S'4b) S'3c Kx3c G'4c K2d R1e+
a) G3d Gx3d (Kx3d R2d+) R4b+
b) R5b+ Sx5b (K3a G'3b) G'4b
c) B'5c K3c B4d+ Px4d +R5c (NB: Please note that even though white can still drop a piece between the dragon and the king, this is not considered a proper defence (black can just take that piece) and therefore not counted as an extra move in the mating sequence.)
d) +P5a K3a +R4b Kx4b (K2a G'1b) G'4a
e) R1b+ Px1b +Rx3b K1d (Lx3b G'2d) +R2c Kx2c (Kx1e G'2f) G'2d
f) R'3c K1d (Kx2d R3d+ K2e G'2f; K1b/K2b G'2c K2a R3b+) B1c+ Lx1c G'2d Kx2d R3d+
a) +R4b +Rx4b (X'3b or L3b then S2a+) P2c+
b) G'3d Rx3d B4a+
c) G'2e K1c (Kx2e +R3e) G1d +Rx1d +R2b
d) S'1c Kx1a (Kx1c +B2d) +B3c Sx3c N'2c
e) G'2c Kx2c (Sx2c G'2e) G'3c K2d (Gx3c B2b+ K2d/K3d Rx3c+) B1c+ Kx1c R2b+
f) G'2c Kx2c B3c+ Nx3c R'2a K3b (or K1b) R2b+
1) +R2b Px2b (Kx4c +R4b) +B4b
2) G'2b +Bx2b (K2d +B3d) +B3d
3) +B2d Gx2d (Kx2d R3e+ K1d +R2e) B1c+ Kx1c R1b+
4) R'2f K1d R2d Kx2d (or Rx2d) +B1e
5) B'2d Gx2d (K1d +Bx2c Kx2c Lx3c+ K1d G'2e) P'1d Gx1d +Bx1d Kx1d G'2d
6) S'2d K1d (Kx2b Px3b+ Kx3b G'3c and mate) S1e K1c (Gx1e G'2d) G'1b Bx1b R2d+
1) 1.+R3c Kx3c 2.+R4b
2) 1.+B3a Gx3a (K1b 2.N1c+) 2.N3c=
3) 1.S'2c Kx2c 2.R2d Kx2d (K1b 3.+R4b; K3b 3.+R4a) 3.+R2e
4) 1.S'2d K3d (Gx2d 2.R3c+ X'3c 3.B1b+) 2.R4c+ Gx4c 3.B'1b+
5) 1.N'3c Bx3c (K3b 2.G'4b; K1a 2.+P1b) 2.B1b+ K3b 3.+B2c Nx2c 4.G'3a
6) 1.S'3a K1c (K2a 2.+Rx2c; K3b 2.B4b+ K2a 3.+Rx2c) 2.N'2e Nx2e 3.S2b= Kx2b 4.B3a+
1) R3c+ Gx3c (Kx1d +R2d) R1b+
2) B2b+ Kx2b (K4c +Bx3c) S4a= N.B.: This is an example of a tsume problem in which white can postpone mate by dropping pieces between rook and king (in the final position on 4b and 3b). Since this is not a proper defence (black can just take them with the rook) these are not included in the solution.
3) S3b= Rx3b (Kx1b +Bx3d K2b R'1b; Lx3b R'2b) +B3c Kx3c (Rx3c R'2b; Bx2c R'1c) R'4c
4) S4b= Kx2b (K4c G'5c K3d Rx2e+; K3d Rx2e+ K4c G'5c) B3b+ Kx3b (K1a G'2a; Kx1c G'1d) G'3c
5) R3a+ Kx3a (Sx3a N3c= K1a G'2a) Rx2b+ Kx2b S'3c K1c G'2d
6) B'1d Kx1d (Kx3c R'2c K4b R2b+) R'1e K2c R1b+ Kx3c (Kx1b B2b+) +R3b
1) B3c+ Nx3c (S2bx3c S'2c; S4bx3c S'4c) S'2a
2) B'1c Gx1c (X'2d R1e; K5e B5f+) B3d+
3) +R2c Kx2c (Gx2c B4c+; Kx4d G'5d) B1b+ Kx1b G'1c
4) L'2e +Rx2e (X'2d +R3c K1d +Rx2d) S'1d Px1d (+Rx1d +R3c; Kx1d +Rx2e) +R3c
5) P'3b Kx3b R4c+ Kx4c +B2a X'3b +P5c/L5c+
6) N'3d Gx3d P'2c Kx3a B2a+ Kx2a (K4b G'4c) G'2b
1) +R2b Lx2b (Bx2b +B2c) +B1c
2) +B4c Kx4c (Rx4c R'3d; Kx2d R'2e) R'5c
3) R4b+ Kx4b (K2a G'1b +Rx1b Bx1b+) G'5b K3b/3c B4c+
4) G'1b Gx1b R2a+ Kx2a (K1c +R2ax2d) R3a+
5) G'1a K2b B'4d +Rx4d (K3b +R4b; X'3c R2a+) S'3c Kx3c (+R/+Bx3c +R2a) +R4b
6) N1c= Lx1c B3b+ Kx3b (Kx1a R'2a K1b R2b+) R'1b K3a/3c/2a/2c R2b+
1) B1c+ Kx1c S'2b K1b N2d
2) N'2d Rx2d B3d Rx3d (X'2c +R2b; K1a +R1c) +R2b
3) R'3d K4b R3a+ +Bx3a (Kx3a G'4a; K5b B4a+) G'4c
4) R3c+ Gx3c (K1b G'1c K2a +Rx4a) G'1c Kx1c (K3b +Rx4a) +R1d
5) B'4b K2b (or 3b) B3a+ K3c (K1a/1b +Bx2a) +B4b K2b +B3b Kx3b R4b+
6) G'3b K1c S2c+ Kx2c G3c K1c G2c Kx2c R3c+
1) R'2a K1b R2c+ Gx2c B2a+
2) B3b+ Lx3b +B3a Kx3a (Kx1a R'2a) R'2a
3) N'4e Lx4e (Kx2c +Bx3b Kx3b G'2b) +B4c Gx4c (Kx2c +B3d) B2b+
4) S'2a K4c R'3c Gx3c +R5c
5) B4c+ K1a B1b+ Kx1b +B2a Kx2a R2d K3a R2b+
6) +Bx3c Rx3c (Nx3c B1b+ Lx1b G'2c K1a/2a S'2b) S'3a Rx3a (K1c G'1d; Kx3a B4a+ K2b G'2c) B3b+ Rx3b G'2c K3a N4c=
1) R'2b Kx1d B1c+ Kx1c R1b+
2) G'2b Kx2b R2c+ Kx2c B3b+
3) S'4c Kx2c S'2d Kx2d (K2b Bx3c+) +R3d
4) R3b+ Sx3b (Kx3b B'4a Kx4a/K3a G'4b) B'1b Kx1b (Gx1b G'2d; K1d G'1e) G'2b
5) N'3d K3c (Sx3d R5b+ Kx3a +B5c) +P3b Kx3b (Sx3b +B4d) R3a+ Kx3a +B5c K3b +B4b
6) P1b+ Kx1b +R1d N'1c R'2b K1a +Rx1c Bx1c N'2c
a) B'4e K2b (X'3d G'1c) +R1a Kx1a G'1b
b) R2b+ Kx2b (Sx2b G'4b) S'3c= K1c/2c (K3a G'4b) G'2d
c) B3a+ Sx3a R'1a Kx1a L'1c K2a L1b+
d) G'1d Kx1d G'2d K1e (Gx2d Rx2d K1e N'2g) R2e Gx2e N'2g
e) S'2b K1b +R2c Gx2c S1a+ Kx1a Nx2c= Bx2c G'2b
f) +P3b K1b (K1c +R1e X'1d +B3a K1b +B2b) S'1c Nx1c (Kx1c +R1e etc.) +P2b Kx2b +R4b K2a +R3b
1) G'2c Bx2c (K1a +R3a X'2a G2b) +R3a K1b N'2d
2) R1b+ Kx1b (K2d G'1e) Rx1a+ Kx1a G'2b
3) S1b+ Kx1b G'1a Kx1a +R3a K1b +R2a
4) G'2b Kx2b S3c= K1c L'1e X'1d B3a+
5) +B2d K1b G'1c Nx1c +B3d Bx3d N'2d K2c +R3b
6) L'2e B'2d (N'2d Lx2d Kx1d N'2f K1c +R1f) +Rx2d K3b +R3c Kx3c B'5a K3d (K3b B4b+) B2d+
a) G'1c Gx1c (Kx1c Rx2b+ K1d G'2e) R1e B/Kx1e +R2e
b) G'2a K1b +B3d K1c (X'2c R'1a) R'1b
c) R'1a Kx1a (K2c R'2b) R'1c Nx1c (X'1b +P3ax2a) +P3a-2a K1b +P3b-2b
d) P'1c Nx1c G2c Kx2c B3c+ K1b (K1d +B2d) N2d
e) L'1d Rx1d (Kx2a G'3a K2b S'2c) S'1c Rx1c (Kx1c G'2c; Kx2a G'3a K1a N2c=) N'2d Kx2b (Bx2d G'2b) P3a+ K2b/K1a G'2a
f) B'1d Gx1d (K3c R'3b Gx3b Bx3b+; K1c Gx2d Kx2d R'2e K3c G'3b Gx3b Bx3b+) R'1c G2bx1c (G1dx1c G3d) G3d K2b Nx1d Gx1d (Kx2a G'2b) G'1b
1) R'2b Kx1c R2d+ Kx2d (K1b G'2b) G'1d
2) R1b+ Bx1b G3c Kx3c G'4c
3) +P4b Sx4b R5a+ Sx5a (X'4a +Bx4b K2a +Rx4a) L'3c K4a L3b+
4) R'1b Lx1b +Rx1b Kx1b G'2c K1a L'1b
5) S'1b Kx3a (K3b B'2c K3c R'3d; Kx1b R'3b K2c S2b+ K2d B'1e K1d R3d+) R'2a K3b B'4a K3c R2d+ Kx2d B2c+
6) N'2d Gx2d (Bx2d R'1a Kx1a [Kx2b R3d-3a+] R3a+ K1b +R2a; Kx2b R3b+ K1a N1b+) R'1c Kx2b R1b+ Kx1b R3b+ X'2b L'1c
1) R'1c K2b B'3a Kx3a (Gx3a P2c+) R1a+
2) B1a+ K2c +B1b +Rx1b (Kx1b G'2b) G'2d
3) R'2b K1c R2d+ Sx2d (Kx2d B'3e) B'3a K1b B2b+
4) R3c+ K1c +R2d Px2d P'1d K2c +B3b
5) P1c+ +Rx1c (Kx1c Nx1b+ Sx1b R'2c K1d +B2d) S2a+ Kx2a +B4c K2b +B3b
6) G'2b Kx2b (Gx2b +R5b K3a +R4b) +Rx2d K3b +R2b Gx2b (Kx2b G'2c) G'4b
1) B'4b Bx4b (X'3c Sx3c= Kx2c G'2d) S3c= Kx3c (Bx3c G'3d) G'3d
2) S3a= Rx3a B3b+ Kx3b/Rx3b G'2c
3) G'2c Kx2c L'2d K1b R3b+ Px3b B3d
4) R3a-3b+ K1c +R2b Gx2b (Kx2b B3a+) B3e+ K2c +B2d
5) P2a+ K1b (Kx2a Bx3b+ K1b +B3b-2b) B2c+ Gx2c R1d Kx2a (Gx1d +B2b; X'1c +B1a) R1a+
6) B1c+ K3c (Kx1c R'1a X'1b/K2c G'2d) R'3d Kx3d G'3e K3c +B2d
1) R'2a Kx2a +Rx5a Sx5a (K3b G'2c; X'3a G'2b) G'2b
2) R'1d K2b (X'1c +B2a) R1a+ Kx1a +B2a
3) G'2b Kx2b +B3a Kx3a B2a+
4) R'3b K2c R1b+ Kx1b (K2d G'1e) G'1c
5) B'4c K3a (Gx4c +R2c K3a S'3b; Px4c S'2b K3b Sx3c+ K4a G'4b) B2b+ Kx2b S'3a Kx3a +R1a
6) B1a+ Kx1a (K3b S'3c K2c B'3b Kx1c +B2b; K3a B'2b K4b B3c+ K3a B2b+) B'4d K2a (X'2b S'1b) S'2b K3b B3c+
1) S2b+ Rx2b B3c+ Kx3c G3d
2) S3c+ Kx1b N1c+ Kx1c R'1d
3) N'2e Px2e (K2b S3c+ K1b R'1c) G2d Kx2d (K1b/2b G2c) R'1d
4) R'3b K2c (Kx4c +R5b) R1b+ Sx1b (K3b +R4b) +R3b
5) P'2b K1a (Kx1b N'3d) N2c= Bx2c (Kx2b G'3c K2a +P3b) G'2a K1b N'2d
6) Rx2c= Kx1e R1c= Lx1c (X'1d P'1f R2d R3c+) P'1f K2d +B3d
1) +R1b Kx1b (K3b B4d+) B1a+ K2c +B2b
2) +B4a Kx4a B3a+ K5a/b G'6b
3) N'4d Gx4d B3c+ Kx3c G'2c
4) S'2c Kx2a +B4c Px4c/X'3b N3c=
5) S2b-3c+ K2d R'2f K3e (X'2e G'3d K1c G2c) G'3f K4d R2d
6) N'2d Sx2d (K2a N3c=) B1c+ Sx1c (Kx1c G'2c) G'2c K2a N3c=
1) R2a+ Kx2a R2c+ X'2b N'3c
2) B'1c Kx1c S1b+ Kx1b (K1d/2d G'2e) G'2c
3) G'2b Kx2b (Gx2b/Sx2b/Kx2d G3d) R3a+ Kx3a (K2c G3d) G'3b
4) S'2a K2c +R2b Kx2b (K1d +R2e) B3b+
5) R'2a Kx2a (Sx2a/Gx2a B4b+) N'1c Gx1c Bx1a+ Kx1a G'2b
6) G'2a K1c G'2c Kx2c B3d+ Px3d +B2b
1) R'1b K2c B3c+ Kx3c R2b+
2) G'3b +Bx3b R1c+ Kx1c R'1b
3) P2c+ Bx2c R1b+ Bx1b G'4b
4) B3b+ Px3b +R4c +Bx4c G'2d
5) R'3c Kx2b +P2a Kx2a R3a+ Kx3a N3b+
6) N2a+ Kx2a +B1b Kx1b N'2d K2b B3b+
a) N'2e K2b B3c+ Nx3c G'2a
b) S'2b Kx2c R'2d Gx2d B3c+
c) S'3b Gx3b R3c+ Gx3c G'4b
d) +R5a K2b +R1a Kx1a G'2a
e) G'3c Kx3c G'2d K3b +B4c Kx4c S4b+
f) S'3a Kx3a B4a+ Sx4a B2a+ Kx4b G'4c
1) R'3b Kx2c R3c+ Kx3c B3b+
2) B'5e L'4d Bx4d Px4d L'3d
3) S2c+ Lx2c R1b+ Kx1b R'1a
4) S'2d Gx2d G'1c Rx1c S2b+
5) R2a+ Kx2a G'1b Sx1b B3a+ Kx3a G'3b
6) +P3c Nx3c +R4b K2c B'4e X'3d +R3b
1) R1b+ K1d +R2c Kx2c +B3b
2) G'5a Kx3b B4c+ Kx4c G'3c
3) G'1a K2b +R1c Kx1c N1b+
4) R'3a Kx3a N'2c K4a N'5c
5) S3a= Kx3a B2b+ Kx2b N'3d K3c G'4d
6) G'2d Kx1b +Bx2a Kx2a N'3c K3b B'2a
a) G'2b Kx2b L'2c Kx2c R1c+
b) S2b= Kx2b +B3c Kx3c B3b+
c) G'2a Kx3b B3c+ Kx3c G'4c
d) S'4c Gx4c +R5d-5b Px5b B3a+
e) B'4c K1a +R1i N'1c +Rx1c Bx1c N'2c K2b B3b+
f) +Bx2a K4a +B3a Kx3a N'4c K4a S'4b Rx4b +P5a
a) R'2d K1b Rx2a+ Kx2a G'2b
b) N'2d Nx2d +R1c Kx1c L'1d
c) B'3a Kx3a B1c+ Nx1c G'2a
d) G'1a K2b R4b+ Sx4b G'3b
e) S'2c K3c +B3d Gx3d R'4c
f) G'1c Kx1c B'3a K1b R'3b K1a B2b+
g) S1b+ Rx1b S'1d Kx1d +R3d K1c +R2d
h) S'1b Kx1b N'2d K1a P'1b K2a R3b+
i) G'4b K2b R3c+ Nx3c G'2a Kx2a P1a+ K2b R1b+
j) R'1d Gx1d P'1c Gx1c B'2a Kx2a +P4c-3b K1b +P3c-2b
k) N'2e K2d B3d+ K1d N1c+ Nx1c G'2e Nx2e +B2c
l) N'3c Rx3c +P3a Rx3a B2b+ Kx2b P2c+ K2a R1b+
a) B'3e K2b B2c+ Kx2c G'1c
b) R'3a K2c G'3c K1b R3b+ Sx3b G'2b
c) P'2c K1a S'1b Kx1b +R3b K1a P2b+
d) R'2c K1b R2a+ Kx2a S3b= K2b G'2c
e) N1b+ Lx1b B'2d Kx2b G3c Nx3c N'3d K3a S'2b
f) S'2c Gx2c Bx2a+ K1c N'2e Px2e +Rx2c Kx2c G'2d
a) +B3b K1c +R2b Gx2b P'1d K1b N2d
b) R'1a Kx1a B2a+ Kx2a Bx3a+ Kx3a S'3b
c) N'1c+ Lx1c R2d Kx2d R'2e K3d G'2d
d) G'2e Sx2e R3c+ Nx3c B'3e K3d +P4d
e) G'2b Kx2b S3c+ K1b +R2a Kx2a L'2c K1b L2b+
f) R'2a Kx1b S'2c K1c S'1d K2d S3d+ Kx3d R2e+
a) B2d+ K1b +B1c Kx1c R1a+ K2c G2d
b) P'1d Kx1d G2d Kx2d (Px2d R1b+ X'1c B'2c) B'3e K1d R1b+
c) B'1a K1b R3b= Kx1a P'1b K2a +P3a
d) B2c+ Nx2c R'1e Nx1e S2c+ K1d +S2d
e) +Rx1a Kx3b +R1b K3a +B4b Px4b P'3b K4a +R2a
f) S3c= K2a R'3a K1b G1c Kx1c R1a+ X'1b S'2b
a) B'4a K2b R3a+ Kx3a G'3b
b) G'1a +Bx1a +B1c Kx1c G'2c
c) S'1b Gx1b N'2c Nx2c G'2a Kx2a R'3a
d) R'2b Kx2b S'2c K3a N4c= Gx4c G'3b
e) B'2c K1c B'2b K2d B3d+ K1d B1c+ Kx1c +B2c
f) L'1d B'1c G'2b Kx2b R'3b K2a +P3a Bx3a R1b+
a) missing 35
b) missing 35
c) missing 35
d) missing 35
e) missing 35
f) missing 35
a) P4a+ Sx4a B'4b Sx4b S'3b
b) R1e+ Rx1e B'1c Rx1c G'2e
c) G'3c Nx3c B'2a K2b B'3a Kx3a G'3b
d) S'2b Kx2b B'3a Kx3a Rx3c+ Nx3c G'3b
e) R'1b K2a N'3c Lx3c S'3b Sx3b R1a+ Kx1a P1b+
f) B'3b N'2c Bx2c+ Px2c N'2f Lx2f P'1e K2d +P3d
a) N1b+ Kx1b G'2b Gx2b N2d
b) N'2f Sx2f +B2d Gx2d R'1c
c) B'2c K1c N'2e Px2e B1b+ Kx1b N'2d
d) B'1d Nx1d R2a+ Rx2a B'4a Kx4a G'4b
e) R'1a Kx1a B1b+ Kx1b R'1a Kx1a N2c= K2a L1a+
f) G'3a Sx3a G'3b Sx3b G'2b Kx2b N3d K2a G'2b
a) G'2d Px2d S3b= Px4c G'2c
b) B'2b Kx2b B'1a Kx1a G'1b
c) N'3d Px3d R'3b Kx2c R2b+ Kx2b G'2c
d) G'1b Lx1b G'1d Kx1d Rx1b+ Rx1b L'1e
e) B'3a Gx3a L'2c K1b R'2b Gx2b Lx2b+ Kx2b G'2c
f) G'3b K1b N'2d Px2d G'2b Kx2b S'2c Gx2c R3b+
a) S2b= +Bx2b R'1b +Bx1b B2d+
b) G'2b Sx2b G'3c Kx3c R4c+
c) L'2c Bx2c S'2b K1b S1c+ Kx1c N'2e
d) S'3c Sx3c R1b+ K3a S'4b Sx4b +R2a
e) P4c+ K3a G'3b Gx3b B4a+ Kx4a N'3c Gx3c G'4b
f) G'4a Kx4a B'5b K3a S'2b K4b Sx3c+ Kx3c G'3d
a) R4c+ +Rx4c B2c+ +Rx2c G'4d
b) +B2e Kx2c +B1d Kx1d S'2c
c) S'1b Lx1b G'3a Kx3a N'2c Gx2c G'3b
d) L'2c Sx2c P3b+ Sx3b L'2c Sx2c L3a+
e) S'3d Kx3d G'2d K4c N3e +Px3e B4d+ Kx4d R5d+
f) N'3d Bx3d G'3b Kx3b R'4b K2c B1c+ Kx1c G'2d
a) B'2d Rx2d +P1d Rx1d R5e
b) S3c= K2e +B3e Kx3e G'3f
c) N'2e K2b N'3d Sx3d G'3b K2c G3c
d) B'4a K3c B2b+ K2d B1d+ Kx1d G'1e
e) R2b+ Kx2b N'3d K3a N'2c +Bx2c Rx4a+ Kx4a G'4b
f) G'3a Kx3a P4b+ +Rx4b G'2a Kx2a B'4c +Rx4c G'2b
a) B'1a Kx1a N2c= K2b B'1a
b) G'2c Kx1d G1c Kx1c N2c+
c) S5c= K3b R'2b K3c S4d+ Kx4d R2d+
d) +B1c K2a +B3a +Bx3a N'1c +Bx1c L3b+
e) N'4c +Bx4c P3b+ +Bx3b +P2b +Bx2b B5c+ K3b +B4b
f) P3c+ K1b +P2c Kx2c B'1b Kx1b G'1c K3a N3c=
a) R'1b Kx1b B3c+ Bx1g+ R'1a
b) B3a+ Sx3a R'2b Kx2b G'2c
c) R'3b K1c B1b+ Lx1b R3c+ Nx3c B3b+
d) N'2d Kx1c N1b+ Kx1b +B1c Nx1c N'2d
e) P2c+ Sx2c R3b+ Sx3b L'1c Nx1c B'2a Sx2a S'2c
f) G'2d Kx2d +B3e K1e N'2g +Px2g +B2e Kx2e R3e+
a) N'4d Gx4d B'2a Rx2a G'3c
b) S1c= K1e R1d Nx1d S2d=
c) R'3a Kx3a R'1a K3b R4a+ Kx4a G'4b
d) N'2e +Rx2e B'3e +Rx3e B'3a +Rx3a N'2e
e) R2c+ K1a B'2b Bx2b +R1b Kx1b N'2d K1a N2c=
f) N'4c K2a G'3a K1a N'2c Gx2c G2a Kx2a +R3a
a) R3a+ Sx3a R3b+ Sx3b S'4b
b) R'2c Nx2c G'3e Nx3e +R2c
c) P'1b K2b R3b+ Kx3b B'1d K3c B2c+
d) R3a+ Kx3a R'4a K2b G'3b Kx3b R4b+
e) N'3c Rx3c B1b+ Lx1b P'2b K1a N'2c Rx2c +R3a
f) S1d Kx1b S1c+ Kx1c R'1a K2c R1d+ Kx1d +B2d
a) R'1c Lx1c B'1b Kx1b G'2b
b) B'4b Kx2b B3a+ Kx3a B'2b
c) R2b+ Gx2b +P2c Gx2c S'2b Gx2b G'2d
d) S'2b Rx2b R'2a Rx2a B5c+ K4a +B4b
e) N'2c Gx2c B'3c Nx3c S'2b Gx2b G'2a Gx2a N'2c
f) B'4e N'3d Bx3d Px3d B'2c Nx2c G1c Nx1c N'2d
a) N'3d Kx4c G'4b Sx4b N2b+
b) B2c+ Nx2c R1d+ Sx1d +B3d
c) B2c+ Kx2c R'2a K3c R'3d Kx3d R2d+
d) B'3c K1d L'1e Bx1e B2d+ Kx2d G'2e
e) R'4b K3a R2b+ Kx2b R1b+ Kx1b P1c+ K1a +P1b
f) B3a+ Kx3a B'1c Lx1c S'3b Kx3b R'1b K3a R2b+
a) S'2b Bx2b B3b+ Rx3b N2c=
b) R'1d Sx1d G'1b Lx1b +B3e
c) S'5b Kx3b S'2a Kx3a S'3b K2b S'3a
d) R2b+ Kx2b G'2c Nx2c B'3a Kx3a B3b+
e) R2d+ Kx2d B1c+ K3d R'2d Kx3e R3d Kx3d G'3e
f) B'1c Nx1c P'2e Nx2e R3c+ Px3c N'3f K3d +B4d
a) L'2d Bx2d S'2c K1c N'2e
b) R'7b Kx6c +B4e Lx4e B5d+
c) R'1a K2c R1c+ K3b B'2a Kx2a +R2b
d) B'2f Nx2f N'2g +Px2g S1f Kx1f R1d
e) R'1b Lx1b R'2b K3c R4b+ Lx4b B'1a K3b B2b+
f) R'4c K2b R'3b K1c G'2d Kx2d R3d+ Kx3d R4d+
a) L2a+ Kx2a R'1a Kx1a G'1b
b) N'3f Lx3f G3e Kx3e B4e+
c) +P1c Kx1c +B4f K1b +B1c Kx1c S2h
d) S'1a K1c G'2c Kx2c R3b+ Kx3b G'2b
e) S'2d Kx1d S1c+ Kx1c L'1d Kx1d R2b+ Sx3f N'2f
f) N'4c Gx4c N'2c Px2c S'2b Rx2b B4b+ Kx4b G'5b
a) R3c+ K1d +R4d +Bx4d G'2e
b) R5d+ +Px5d S'3c Rx3c B1d+
c) S'3e Gx3e S'2c Kx2c R4c+ +Bx4c G'2d
d) B2e B1g+ Lx1g Rx1g+ B'3g +Rx3g G'1f
e) S4b= K2b S3c= K1c +R2b K1d +Rx2c Kx2c G'2d
f) R'1e K2d S'3e Px3e S'1c Nx1c R1d Kx1d G'1e