A knight on the rim is dim.
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[Event "rated untimed match"] [Site "?"] [Date "????.??.??"] [Round "?"] [White "Unknown"] [Black "Unknown11"] [Result "1-0"] [Annotator "David Hayes"] [BlackElo "0"] [ECO "A00"] [FEN "8/8/8/1K3kpp/PP1P4/6P1/8/8 b - - 0 1"] [SetUp "1"] [TimeControl "0"] [WhiteElo "0"] 1... h4 2. g4+ Kf6 { Keeping an eye on the progress of the d-pawn without allowing a timely d5+. } ( { Black can try to draw: } 2... Ke6 3. a5 h3 4. a6 h2 5. d5+ { Blocking the a8-h1 diagonal. } 5... Kd6 6. a7 h1=Q 7. a8=Q Qf1+ { The exposed white king cannot stop the checks. Draw. } ) ( { Black can also try for a draw: } 2... Kxg4 3. d5 { Blocking the a8-h1 diagonal. } 3... h3 4. d6 h2 5. d7 h1=Q 6. d8=Q Qb7+ 7. Qb6 Qd5+ 8. Qc5 Qb7+ 9. Kc4 Qe4+ 10. Qd4 Qxd4+ 11. Kxd4 Kh3 12. a5 g4 13. a6 g3 14. a7 g2 15. a8=Q g1=Q+ 16. Kc4 Qf1+ { The exposed white king and poorly placed white queen lead to a draw. } ) 3. Kc6 { The only move for the win. } 3... h3 4. d5 h2 5. b5 h1=Q 6. b6 Ke5 7. b7 Qxd5+ 8. Kc7 Qc5+ 9. Kd7 Qb6 10. Kc8 Qc6+ 11. Kb8 Kd6 12. Ka7 Qxa4+ 13. Kb6 Qb4+ 14. Ka6 Kc6 15. b8=N+ Qxb8 16. Ka5 Qb3 17. Ka6 Qa4# 1-0