black to play and win

          black to play and win
.............................................................................


soluion:  1....Qg3 is terrible loss of time!

 1....h5 is correct.

 2. Na5  ...h4,  3. gh4

 3....g4, 4. Nb7

 4....g3, 5. Nd6

5....Ra8, 6. a4    (for 6. Qb3 see further below)

6....g2, 7. c8 (Q)

7....Rc8, 8. Rc8....g1 (Q), 9. Rc2...Qd1, 10. Nc4--but black is winning because of his f-pawn and 2 queens.
Now the other branch at 6.:

If 6. Qb3

 6....Qb3+, 7. Kb3...c4, 8. c8 (Q)...Rc8, 9. Nc8

9....Rd7, 10. Nd6

    10...Kh6 and black is winning.  "Passed pawns must be pushed."