# [Retros] total homebase mate - task DEFINITION and status

raosorio at fibertel.com.ar raosorio at fibertel.com.ar
Sat Oct 21 12:01:40 EDT 2006

Let's define the task in a clear way,

Constraint:
PG diagram showing a mate position where the mateing side has its 8 officers
at homesquare and the remaining pawns at homesquare too. Standard material

Defining,
a: homebase mateing side missing pawns
b: PG single moves
c: other side missing pieces

The task asks for economy so a, b and c have to be minimyzed but in order, say
minmimum a, after that b and finally c. A PG is evaluated as (a, b, c). There are
13 different record cases based on the checking piece and the checking line,

R(h) - mate by rook on (h) row
R(a) - mate by rook on (a) row
B(c)ld - mate by c1/c8 bishop on its homesquare long diagonal
B(c)sd - mate by c1/c8 bishop on its homesquare short diagonal
B(f)ld - mate by f1/f8 bishop on its homesquare long diagonal
B(f)sd - mate by f1/f8 bishop on its homesquare short diagonal
Qld - mate by queen on its homesquare long diagonal
Qsd - mate by queen on its homesquare short diagonal
Q(d) - mate by queen on (d) row.
N(b)K(a) - mate by knight from its b1/b8 homesquare and oposite king on a3/a6
nNb)Kc) - mate by knight from its b1/b8 homesquare and oposite king on c3/c6
N(g)K(f) - mate by knight from its g1/g8 homesquare and oposite king on f3/f6
N(g)K(h)- mate by knight from its g1/g8 homesquare and oposite king on h3/h6

With the new example here included the present status is,

qbld - (2, 24, 1)
r(h) -(2, 22, 2)
r(a) -(2, 28, 1)

Some other one? Some more economicall?

Best,

rsbqkbsr/1pppppp1/8/KP6/1P5P/2SP2QS/P3PP2/1RB2B1R
28 single moves. 15 + 14 C+
1.Pc2-c4 Ph7-h5 2.Qd1-b3 Ph5-h4 3.Qb3-g3 Ph4-h3
4.Pd2-d3 Ph3xg2 5.Ph2-h4 Pa7-a6 6.Sg1-h3 Pg2-g1=S
7.Ke1-d2 Sg1-f3 8.Kd2-c3 Sf3-d4 9.Kc3-b4 Sd4-b5
10.Sb1-c3 Sb5-a7 11.Ra1-b1 Pa6-a5 12.Kb4xa5 Sb8-a6
13.Pb2-b4 Sa7-b5 14.Pc4xb5 Sa6-b8

rsbqkbsr/ppp1ppp1/8/6P1/3P3K/6P1/PPP2BBP/RS4SR
22 single moves. 14 + 14 C+
1.Pf2-f4 Ph7-h5 2.Ke1-f2 Sg8-h6 3.Kf2-g3 Ph5-h4
4.Kg3xh4 Pd7-d5 5.Pg2-g3 Pd5-d4 6.Bf1-g2 Pd4-d3
7.Qd1-f1 Pd3xe2 8.Pd2-d4 Pe2xf1=Q 9.Bc1-e3 Qf1-b5
10.Be3-f2 Qb5-g5 11.Pf4xg5 Sh6-g8

rsbqkbsr/ppp2ppp/2P5/8/8/3PP1BK/P2PS1PP/RS1Q1B1R
24 single moves. 15 + 14 C+
1.Pc2-c4 Pe7-e5 2.Pc4-c5 Pe5-e4 3.Pc5-c6 Pe4-e3
4.Pf2xe3 Bf8-a3 5.Ke1-f2 Ba3xb2 6.Kf2-g3 Bb2-a3
7.Bc1-b2 Pd7-d5 8.Bb2-e5 Sb8-d7 9.Kg3-h3 Pd5-d4
10.Be5-g3 Pd4-d3 11.Pe2xd3 Ba3-f8 12.Sg1-e2 Sd7-b8