[Retros] total homebase mate - task DEFINITION and status

[raosorio at fibertel.com.ar]

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