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(a) 1. …Nf3 2.Rxf3 Rxh2+
(a1) 3.Rxh2 Rxe1+ 4.Kg2 Re2+ 5.Rf2 Rxf2+ 6.Kxf2 Qxh2+ －＋
(a2) 3.Kg1 Rexe2
(a2) ① 4.Qd1 Rhg2+ 5.Kf1 Qh2 6.Qxe2 Rg1# or Qg1#
(a2) ➁ 4.Qxe2 Rxe2 5.Rf2 Qg3+ 6.Kh1 Qxf2 ( or 6. …Rxf2 7.Nf4 Qh2# ) 7.Nf4 Qh2#
(b) 1. …Nf3 2.Rff2 Nxe1 3.Rxe8 Rxe8 －＋
(c) 1. …Nf3 2.Qf2 Rxe2 3.Qxe2 Rxh2+ 4.Qxh2 Qxh2#
1. .. Nf3 2. RxN RxP+ 3. Kg1 RxR+- or 3. RxR RxQ+ Kg2 Re2+ +-
1. .. Nf3 2. Re7+ RxR 3. QxR+ QxQ and white cannot recapture because of RxP mate.
1. .. Nf3 2. Qf2 RxR! and mate follows
Very good!
Well done!