Cool chess puzzle from Frédéric Lazard that will wrack your brain!

White to move. Can you draw? Can you win? What would you do? Try - I know it's fucking hard, but do it anyway - to think it through.
[FEN "5kB1/3p1P2/7K/2Pp1P1P/p6p/4P3/7P/8 w - - 0 1"]
1. Kg6 a3 2. h6 a2 3. h7 a1=Q 4. h8=Q Qxh8 (4. .. Qg1+ 5. Kh5 Qxe3 (5. ..
Qg7 6. Qxg7+ Kxg7 7. Kxh4 d4 8. f6+ Kf8 9. c6) 6. Qf6 Qf3+ 7. Kh6 Qf4+ 8.
Kh7) 5. f6 h3 6. Kg5 d4 7. c6 dxc6 8. exd4 c5 (8. .. Qxg8+ 9. fxg8=Q+ Kxg8
10. Kg6 Kf8 11. f7 Ke7 12. Kg7) (8. .. Qh7 9. Bxh7 Kxf7 10. Bg8+ Kxg8 11.
Kg6 Kf8) 9. d5 c4 10. d6 c3 11. d7 c2 12. d8=Q# 1-0

Here is the video for it, from very good channel ChessNetwork:


Enjoy!