This one's very,very difficult.A challenge for real men!
White to play and win
Solution
FEN
8/k7/P2b2P1/KP1Pn2P/4R3/8/6np/8 w - - 0 1
[FEN "8/k7/P2b2P1/KP1Pn2P/4R3/8/6np/8 w - - 0 1"]
1. b6+ Ka8 2. Re1 {Sacrifices the rook to avoid checks along the first rank from Black's soon-to-be-created queen on h1} Nxe1 3. g7 h1=Q 4. g8=Q+ Bb8 5. a7 Nc6+ 6. dxc6 Qxh5+ {Now what? If 7.Ka6 Qe2+ or 7.Kb4 Qh4+, Black will keep checking} 7. Qg5 {!! Tim Krabbé observed: "White lifts his mating threat, the pin of [the bishop on b8], lets his Queen be captured with check on an unguarded square, remains with a few pawns against Queen, Bishop and Knight – and wins."} Qxg5+ 8. Ka6 Bxa7 9. c7 Qa5+ 10. Kxa5 Kb7 11. bxa7 {1-0 The study is known as Mitrofanov's deflection}