Series helpmates with twin by moving black king 3

a) 1.Kd7 2.axb1B(Bc8) 3.b1Q 4.Qxb4(Qd8) e6#

b) 1.Kg7 2.axb1S(Sg8) 3.b1R 4.Rxb4(Rh8) Bf8#

Quite rich and analogous Anticirce strategy starts by bK move. It is often frowned upon in help-problems with twin formed by moving the black king, however in this case it is justified by unified motivation of moves - emptying the Circe square of the first promotee. The other promoted pieces annihilate Pb4 and thus block other potential flights. Model mates from contact squares by unguarded pieces thanks to Bh5 guarding e8.

a) 1.Ka7 2.Kb8 3.Bxh2(Ra1) 4.Bc7 Ra8#

b) 1.Kg3 2.Kxh2(Ra1) 3.Kxh1(Bf1) 4.Bh2 Bg2#

Here the content is much less ambitious, but yet with 4 pieces it is difficult to ask for more in over-worked area of R+B Circe mates.

a) 1.Bg7 2.Bxa1 3.Bd4 4.Bxg1(Ra1) 5.Bh2 6.Bb8 Kb5#

b) 1.Bc5 2.Bxg1 3.Bd4 4.Bxa1(Sg1) 5.Be5 6.Bg3 Sf3#

Rg1 and Sa1 block the Circe squares to each other. That is why bB bishop have to capture them both and in the right order, depending on the prospective mating picture - and thus also depending on the position of the bK. Solo of bB in the unassuming position makes very good impression.

a) 1.dxc6 2.c5(w) 3.dxc5 4.c4(w) 5.dxc4 6.c3(w) 7.dxc3 8.c2(w) cxb3#

b) 1.dxe6 2.e5(w) 3.dxe5 4.e4(w) 5.dxe4 6.e3(w) 7.dxe3 8.e2(w) Rxf3#

Systematic movement on two different files ends as soon as black pawns are exhausted and the advancing pawn reaches the 2nd row. Model mates are welcome, but the term "coal heaps" is escaped only through the use of wK and wP in b) mating picture.

a) 1.Sh3 2.Sf4 3.Sxe2(f4) 4.Sd4 5.Se6 6.Sxf4(e6) 7.Sg6 8.Sf8 9.Sxe6(Qf8) Qb4#

b) 1.Sf3 2.Sd4 3.Sxe2(d4) 4.Sf4 5.Se6 6.Sxd4(e6) 7.Sc6 8.Sd8 9.Sxe6(Qd8) Qb6#

The black knight has to escort the wp to the promotion line as soon as possible. The solutions are diferentiated by the position of bK who obviously cannot capture the mating wQ.

a) 1.Kh5 2.g5 3.g4 4.g3 5.gxh2(Bc1) 6.h1B 7.Bf3 8.Bxd1(Rh1) 9.Bc2 10.Bg6 Sf2#

b) 1.g5 2.g4 3.g3 4.g2 5.g1R 6.Rxd1(Rh1) 7.Rd3 8.Rxh3(Sb1) 9.Rg3 10.Rg8 Be5#

Although the main idea of the problem is quite interesting (annihilation of one of firing pieces of virtual half-battery on h-file with added rebirth of rear piece - wR), the actual form is not entirely satisfactory: added bK move in a) to ensure equal length, but mainly unused reborn wS in b).