You must get the opposition to win this as white!

This position is a good lesson in how to understand the importance of position when exchanging down to a king + pawn against king endgame.
Can you find how white has to play to get this vital advantage?
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[@giovannicorno1247]

Black Ka8 is a great move, I missed it.

[@DaDitka]

I'm not very good yet at endgames like this and the concept of opposition still tricks me from time to time. That said, I have a question-

[@ashoksafaya5397]

Nice++, thanks.

[@taliesine.8343]

i never considered the possibility of a stalemate trick! I calculated Ka4 and thought it was winning. Didn't calculate Kc4. When you then asked why Kc4 didn't work, I was completely stumped. Ka8 was very mindblowing

[@muskyoxes]

When i was looking at this, i thought "okay, Kc4 wins, but then why doesn't Ka4 also win?"

[@rouslanbugorskiy230]

But you didn't explain why moving the pawn two times in a raw wouldn't work.

[@DonJC49]

I solve puzzles like this by randomly exploring all possible moves (which takes a lot of time).

[@bosatsu76]

I do my best. And if I pick the FIRST move right, I consider it a victory. Oh well... Not this time.

[@davebrown6552]

at

[@zawatsky]

•c3-c4;

[@patrickbernard9390]

Brilliant!

[@howardstover4641]

One Move? It was at least 20

[@dmitripogosian5084]

Yep, Ka4 and Kc4 looked so much the same ....

[@user-fm3no5gm9t]

WOU!

[@FatherManus]

This guy has another channel, right?

[@mykelengieza7057]

P to c4?

[@billcook4768]

Qb7!!