Black to move
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(a) 1. …Rxg3 2.fxg3 Rxg2+ 3.Kh1 ( or 3.Kxg2 Qxg3+ 4.Kh1 Qh2# ) Rh2+ 4.Kxh2 ( or 4.Kg1 Qxg3# ) Qxg3+ 5.Kh1 Qh2#
(b) 1. …Rxg3 2.Qg4+ Rxg4 3.g3 ( 3.hxg4?? Qh2# ) Rxg3+ 4.fxg3 ( or 4.Kh1 Rg1+ [ or 4. …Rxh3+ 5.Kg1 or Kg2 Qh2# ] 5.Rxg1 or Kxg1 Qh2# ) Qxg3+ 5.Kh1 Qg2#, Qh2#, or Rh2#
1…Rxg3 2. fxg3 [2. Re2 Rg5 -+] 2…Rxg2+ 3. Kh1 [3. Kxg2 Qxg3+ 4. Kh1 Qh2#] 3…Rh2+ 4. Kxh2 Qxg3+ 5. Kh1 Qh2#
Very good!
Well done!