Alena, well done- you found the mainline Krug gives in his solution. My issues are at move 12 for black- it isn't so clear cut a solution if black plays 12......g6 or especially 12.......g5 instead of the mating line that arises after 12.......Bxe5. It looks like white wins in those alternate variations, but I can't prove it.

Alena said: V-3 1.Rh3! Bd7! 2.Bh7+ Kxh7 3.Qe4+ Kg8 4.Qc4+ Kh7 5.Qe6! Rb1 6.Kh2 Rh1+ 7.Kxh1 Qb1+ 8.Kh2 Qg1+ 9.Kxg1 Bc5+ 10.d4 Bxe6 11.f5 Bxd4+ 12.Kh1 Bxe5 13.Ng6+ Kg8 14.Rh8+ Kf7 15.Rxf8#

cool move Rh3, is it possible to reduce V-3 to this? 1.Rh3 Bd7 2.Bh7+ Kxh7 (...Kh8 3.Nhg6#) 3.Nf5+ Bh4 (...Kg8 4.Nxe7#) 4.Rxh4+ Kg8 5.Ne7# oops forget that I missed 3...Rh6 is possible

V-3

1.Rh3! Bd7! 2.Bh7+ Kxh7 3.Qe4+ Kg8 4.Qc4+ Kh7 5.Qe6! Rb1 6.Kh2 Rh1+ 7.Kxh1 Qb1+ 8.Kh2 Qg1+ 9.Kxg1 Bc5+ 10.d4 Bxe6 11.f5 Bxd4+ 12.Kh1 Bxe5 13.Ng6+ Kg8 14.Rh8+ Kf7 15.Rxf8#

V-3 is the main line.

V-1

1.Rh3! Rb1 2.Bh7+ Kxh7 3.Nhg6+ Bh4 4.Rxh4+ Kg8 5.Rh8#

V-2

1.Rh3 Bxg6 2.Nhxg6 Rxg6 3.Nxg6 Qd6 4.Nxf8 c2 5.Qc3 Kxf8 6.Qxc2 Qd7 7.Rh8+ Kf7 8.Qc4+ Kg6 9.Ra8 Bb4 10.Kh2 Bd2 11.Ra6+ Kh7 12.Qe4+ Kg8 13.f5 Kf8 14.Ra8+ Kf7 15.Qc4+ Ke7 16.Qh4+ Kf7 17.Qh5+ Ke7 18.Qe2+ Kf7 19.Qxd2

V-3

1.Rh3 Bd7!

I haven't solved V-3 yet. I got only a draw so far.