Solution:
1...Kxd4 2.Qc3#
1.Qc8? zz
1...Kf4[a] 2.Qf5#[A]
1...Kxf6[b] 2.Qe6#[B]
1...Kxd4 2.Qc3#
but 1...d5!
3 tries skipped1.Qe1+??
1...Kf4[a] 2.Qe3#/Qe4#/Qg3#/Rg4#/Nh5#/Nd5#
1...Kxf6[b] 2.Qe6#[B]
but 1...Kxd4!
1.Rg5+??
1...Kf4[a] 2.Kd1#/Kd3#/Kc2#/Ke2#/Ke1#/Kc3#
1...Kxd4 2.Qc3#/Rd5#
but 1...Kxf6[b]!
1.Rf1?? zz
1...Kxd4 2.Qc3#
but 1...d5!
1.Qc7! zz
1...Kf4[a] 2.Qxd6#[C]
1...Kxf6[b] 2.Qg7#[D]
1...Kxd4 2.Qc3#