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It’s a draw?
Win for white:
1 Kc4 Ka6
2 Kd3 Ka5
3 Ke4 Kb5
4 Kd4 Ka6
5 Ke5 Kb5
6 Kd6 wins pawn and game.
If
1 Kc4 Kc7
2 Kd4 Kd7
3 Ke5 Ke7
4 c5 and king penetrates to win pawn and game.
The backward c pawn serves as a barrier in 1st variation and as a source of tempi in the 2nd.
Interestingly, White wins…
1.Kc4!! Kc7/Kc8
2.Kd4!! Kd7
3.Ke5!! Ke7
4.c4! flips ‘the opposition’
4. … Kd7
5.Kf6! Kd8
6.Ke6 Kc7
7.Ke7 Kc8
8.Kd6 Kb7
9.Kd7 Ka7 Kb8 is no better
10.Kxc6 Kb8
11.Kd7
link to wikipedia article on “opposition”:
opposition in chess
White wins
1. Kc4 Kc7
2. Kd4 Kd7
3. Ke5 Ke7
4. c4 Kd7
5. Kf6 Ke8
6. Ke6 Kd8
7. Kd6 Kc8
8. Kxc6 Kd8
9. Kb7 Ke7
10. c6 Kd6
11. c7 Kc5
12. c8=Q+