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1. Bf5 a2+
2. Ka1 h6
3. Qg6 Kg8
4. Qh7+ Kf8
5. Qh8#
if
2… g6
then,
3. Bxg6
The second variation is wrong
after 1…g6 a mate occurs by the move
2. Qxh7#
If
White Takes The Knight on c4 then a2+ and then it is a winning for black
1. Bf5 a2+
2. Ka1 h6
3. Qg6 Kg8
4. Qh7+ Kf8
5. Qh8#
or
1. Bf5 Nd2+
2. Ka2 h6
3. Qg6 Kg8
4. Qh7+ Kf8
5. Qh8#
or
1. Bf5 g6
2. qh7#