Long fairy helpmates 9

1.d5 g4 2.d4 g5 3.d3 gxf6(pf7) 4.dxe2 fxe7(Qd8) 5.exd1S(Bf1) exd8S#

100$ theme - excelsior by both sides finished by two knight promotions. As far as I know not realized in orthodox h#5 yet.

1.RGd1 (1,6)e2 ... 2.-14. ... (1,6)f8 - g2 - a3 - g4 - a5 - g6 - a7 - g8 - f2 - e8 - d2 - c8 - b2 15.RGb1! (1,6)h3 ... 16.-28. ... (1,6)b4 - h5 - b6 - h7 - g1 - f7 - e1 - d7 - c1 - b7 - h6 - b5 - h4 29.RGb1 (1,6)b3 30.RGb4 (1,6)h2 31.NHa6 (1,6)g8 32.-37. ... (1,6)f2 - e8 - d2 - c8 - b2 - h3#

Thematical tourney was dedicated to problems expressing in any way number 37, here you can see doubled theme: helpmate in 37 and active white piece is (1,6)-leaper and its move is long exactly (square root of 37). Of course very long circuit of white hero.

Set: 1...RFg2 2.(1,5)e8 RFh3 3.(1,5)f3 RFg4+ 4.(1,5)a4 FEb2#

Solution: 1.(1,5)c8 FEb3 2.(1,5)h7 FEc4 3.(1,5)c6 FEd5+ 4.(1,5)d1 RFe2#

Echo with white change of function. Theme "37" is hidden in the sum of coordinates of acting pieces: 11+11+15=37. Strange...

1.b1R Rxc5(pc7) 2.bxc5(Ra1) Rxa2(pa7) 3.bxa2(Rh1) Rxb1(Ra8) 4.axb1B(Rh1)+ Rxb1(Bc8)#

7 capturing moves out of 8. All black reborn pieces appear immediately on squares they block in mate. Promotions to bishop and rook.

1.Bf5 g4 2.Sd8 gxf5(Bc8) 3.Re6 fxe6(Ra8) 4.Kc6 e7 5.Kb7 exd8S(Sb8)#

Only 3 capturing moves out of 10. Again all black reborn pieces appear immediately on squares they block in mate. White underpromotion (knight).

1.d6 Bb5 2.cxb5(Bf1) Bxb5(pb7) 3.d5 Bc4 4.dxc4(Bf1) Bxc4(pc7) 5.Rb8 Be6#

Note first black move - tempo!

1...h4 2.a5 h5 ... 5...h8R 6.a1R Rh2#

Not very ambitious theme - two promotions to rook.

1.Kh2 Gg1 2.Kg3 Gg4 3.Kh4 Gh3 4.Kg3 Gf3 5.Kh2 Ge2 6.Kh1 Gg2#

Classic! I can't imagine how author could find such simple and elegant position...

Hauke Reddmann wrote as an answer to my rhetoric question:

"..here is the utmost trivial answer:
I first intended to show a king crossing the whole board, pulling some grasshoppers in his wake. One cook, two cooks,...Then I built up, in desperate, the position which was the most simple I could think of, just to check how long a mate with this material would take "usually". And searched for the shortest mate.
To my amazement, I came up with the wacky solution. Revved up the computer to check one day long whether it was the only one, lo and behold, it was.
Just dumb luck."

Thanks!