Tactics puzzle 5:- Mate in three

[Event "?"] [Site "?"] [Date "????.??.??"] [Round "?"] [White "Tactics "] [Black "Mate in Three (Combination )"] [Result "*"] [SetUp "1"] [FEN "r2q2k1/1ppb1Rp1/6Bp/8/8/5Q2/P6P/6K1 w - - 0 1"] [PlyCount "5"] 1. Rxg7+ Kxg7 2. Qf7+ Kh8 3. Qh7# * [Event "?"] [Site "?"] [Date "????.??.??"] [Round "?"] [White "Tactics "] [Black "Mate in Three Endgame"] [Result "*"] [SetUp "1"] [FEN "7k/4K1pp/7N/8/8/8/8/B7 w - - 0 0"] [PlyCount "5"] 1. Bf6 (1. Nf5 {Is the Second best move here but it will be longer to mate} Kg8 2. Bxg7 h5 3. Kf6 Kh7 4. Kf7 h4 5. Nh6 h3 6. Ng8 h2 7. Nf6#) 1... gxf6 2. Kf8 f5 3. Nf7# *