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Rg6
1. Rxg6+ Kf8
2. Bc5+ Nd6
3. Bxd6+ Re7
4. Qxe7#
or
1. Rxg6 Qxg6
2. Qh8#
1.Rxg6+ Qxg6
2.Qh8#
1. Rxg6…
Black has four options. Three lead to mate on the next move. (…Qxg6; …fxg6; …Kh8)
If black plays …Ke8, white should reply with
2. Bc5, which line also leads to mate.