Each problem has only the solution shown, so if you had a different answer, check again to see why it's not a forced checkmate in two moves.
#1. 1. Ng5+ Kg8 (or Kh8) 2. Rd8#
#2. 1. Qb8+ Qc8 2. Qxc8#
#3. 1. Rh8+ Bxh8 2. Qxh8#
#4. 1. Qxh7+ Kxf6 2. Qh6#
#5. 1. Rg8+ Kxg8 2. Qg7# (or Qh8#)
#6. 1. Rf8+ Rxf8 2. Ng7#
#7. 1. Nxh7+ Nxh7 2. Ng6#
#8. 1. Qd8+ Bxd8 2. Re8#
#9. 1. Qxg6 Kh8 2. Bxf6# (or 1. ... Bg7 2. Qxg7#)
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