and
are the winner of this round (both found part of the solution) - congratulations!
Both will be rewarded with a 100 % upvote. :)
Complete solution:
1. Bxh6! gxh6
2. Bxe4 dxe4
3. Rg3+ Kh7
4. Qh5 And now the threat Ng5+ is very strong, see position below:
4. ... Qe8 If 4. ... Rg8, then: 5. Qxf7+ Kh8 6. Rxg8+ Qxg8 7. Qxe7 with clear advantage.
5. Ng5+ Bxg5
6. fxg5 Now white threatens Qxh6+ followed by Rh3.
Black resigned here. However, he still could have tried ...
6. ... Rh8!?7. Rf1! The only winning move! After 7. Qxh6+? Kg8 actually black wins. 7. ... f5
8. exf6! en passant Qxh5? Also other moves can't save the black position, for example 8. ... Nxf6 9. Qe5, and white wins.
9. Rg7# Checkmate.
RE: Chess problem 68 / Schachaufgabe 68