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Daily Chess Improvement: K & P Endgame!

White is down a pawn. But is this a win for black or is it a draw? 8/3k4/4p3/5p2/5P2/3K4/8/8 w - - 0 1

White to move.

1.Kc3 Ke7
2.Kd3 Kd6
3.Kd4 Kc6
4.Kc4 Kb6
5.Kb4 Kb7
6.Kc3 Kc7
7.Kd3 Kc8
8.Kc4 Kb7
9.Kc3 Kb6
10.Kd3 Kc5
11.Kc3 e5
12.fxe5 f4
13.Kd3 f3
14.Ke3 f2
15.Kxf2
It's a draw.

false