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1. Qxh6+! Kg8
(1…Bxh6 2. Nf6+ Kh8 3. Rg8#)
2. Nf6+ Kf8
3. Qh8+! Bxh8
4. Rg8+ Ke7
5. Re8#
QH6+
Qxh6! If Bxh6, then Nf6+ Kh8 Rg8#. If Kg8 Nf6+ Kf8 Qh8+ Bxh8 Rg8+ Ke7 Re8#
1. Qxh6+ Kg8 (1… Bxh6 2. Nf6+ Kh8 3. Rg8#) 2. Nf6+ Kf8 3. Qh8+ Bxh8 4. Rg8+
Ke7 5. Re8# *
1. Qxh6+ Kg8 (1. … Bxh6 2. Nf6+ Kh8 3. Rg8#) 2. Qxg7+ Kxg7 3. Nf6+ Bg4 4. Rxg4+ Kf8 (4. … Kh8 5. Rg8#) 5. Rg8+ Ke7 6. Re8#
Sorry, just saw an escape for black king to h6 after 2. Qxg7+ Kxg7 3. Nf6+ Kh6…
So the correct line would be:
1. Qxh6+ Kg8 (1. … Bxh6 2. Nf6+ Kh8 3. Rg8#) 2. Nf6+ Kf8 3. Qh8+ Bxh8 (3. … Ke7 Qe8#) 4. Rg8+ Ke7 5. Re8#
Qe4+ to get a break. Then attack black Q and T