Looking For Zugzwang

You should be able to guess the first move here to win 50% of the time.

8/4p3/3pP3/8/3PP3/7p/4K3/7k w - - 0 1

Comments
No. 1-1
Alena
Alena

1.Kf1! h2
2.Kf2 d5
3.Kf1 dxe4
4.d5 e3
5.d6 e2+
6.Kxe2 Kg1
7.dxe7 h1=Q
8.e8=Q Qe4+
It's a winning position for white.

Now black will be giving perpetual checks therefore the white king should go to the e-pawn and promote it eventualy.

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