Daily Chess Improvement: K & P Endgame Challenge

This is a K and P endgame refresher

White to move. How should white proceed?

Comments
No. 1-2
Alena
Alena

V-2

1.Kf5! Kf7
2.Ke5 Ke7
3.f4 h6
4.Kd4 Kf6
5.Ke4 Ke6
6.f5+ Kf6
7.Kf4 Kg7
8.Ke5 Kf7
9.f6 Kf8
10.Kf4 Kg8
11.Ke4 Kf8
12.Ke5 Kf7
13.Kf5 Kf8
14.Kg6 Kg8
15.Kxh6 Kf7
16.Kg5 Kf8
17.Kg6 Kg8
18.f7+ Kf8
19.h6 Ke7
20.h7 Kd6
21.h8=Q
It's a winning position for white.

V-2 was the most difficult for me, because of triangulation.

Alena
Alena

The goal for the white king is to take the black h-pawn and promote the white h-pawn. White needs to use the f-pawn to put the black king in zugzwang. The puzzle is tough and in spite of the right first move I didn't manage to solve it correctly at once.

V-1

1.Kf5! Kf7
2.Ke5 Ke7
3.f4 Kf7
4.Kd6 Kf6
5.h6 Kf7
6.Kd7 Kf6
7.Ke8 Ke6
8.Kf8 Kf5
9.Kf7 Kxf4
10.Kg7 Ke4
11.Kxh7
It's a winning position for white.

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