CCC - Problems

Black has just lost a rook on f8 and his white square bishop is hanging. However he has enough compensation for the loss of material as White's king is vulnerable in the centre.
Can you see the strongest continuation for Black?

With a double threat of checkmate, Qxg7# and Qxh7#, White's attack looks decisive. All the more that Black cannot answer 1...Nf6?? because 2.Bxf6 wins the knight and still keeps the checkmate threats. Black's only resort is to keep checking the white king until he can remove the sting of White's attack.

Only one move can avoid a loss:

         1.   ...                   Qe1+ !
         2.   Rxe1              Nxf2+
         3.   Kg1                Nxh3+

Removing the pin on the h7-pawn while keeping the initiative with the check.

         4.   gxh3

Or a king move.

         4.   ...                  hxg6

Removing now the most dangerous piece.
After this series of check, Black has not only eliminated the checkmate threat but also emerges with a superior material. This superiority may be sufficient to give him a won endgame or at least a draw.

Facing the starting position, many players would resign, thinking the game was lost beyond hope. This problem shows that it is always worth spending a bit of time checking any possible solution to salvage the game.