Vancura position in the ending!

There are ending puzzles called Drills at chess.com. Today I tried to solve this Vancura position and I could not.

Guys, maybe one of you decide it or maybe easily decide it. Show me how to solve this puzzle. This puzzle below:

I watched videos in YouTube about Vancura position, but their examples a little bit different!

Bro, I watched several YouTube videos about it and I understood them. But in this puzzle after 1. Rc8+ Kd4. You can't go to c3 with rook as in many examples. 2.If Rc3 Rb1+. And black wins (3.Kc2 Rc1+. 4. Kc1 Kc3 andblack easily wins)

Yeah, here in this puzzle White moves and they must draw. 

But their chess.com's example is a little different and difficult I think. Or maybe this example is even wrong

The given position is a draw. White must cut off the black king 1 Rh4 and then approach his own king.

Well, let's try this one.

Guys, I found the answer!

Right move is 1.Rh4. Actually Black's plan is Rh4 - Rf4 - Rf3 and staying there forever playing Rc3 - Rg3! 

In other variations after Rh1, Black's king goes to h1 and block all White's attacks!

Thanks for help and advices!

Approaching with the king is literally the worst thing you can do. With the pawn on h2 (which will happen after 1. Rh4), as soon as white king leaves the safe zone (a2-b2 in this case), white is dead. With the pawn on h3, if you attempt giving checks, black outflanks you and gets the king in front of the pawn with an elementary win. If you continue marching the king, black goes h2 and you have no time to get back to the safe zone. Bottom line, Kc2 loses on the spot.

#8 is the correct idea in the Vancura. White rook occupies c3 and delivers checks accordingly, depending on where the black king goes.

Guys, I watched several videos in YouTube and all of them are similar, where Rook can easily go to c3 and holds draw. But in Chess.com's puzzle you can't go immediately to c3 because there is a trick. So, Rh4 is the only right move with h4-f4-f3 plan. The same thing, but first moves orders differ.

Absolutely true!

I think you know better this position than me!

I've just checked, the tablebase says there is some obscure alternative way with 1.Rf8!? and side checks. This is the only other drawing move. But yeah, Rh4 is much more straightforward and simple.

Oh, good information! Thank you!

I'll try then Rf8 next time.

1.Kc2?? as well as 1.Kc3?? are equally awful, and lose to 1...Kd4/d5.

White's king cannot go to the d-file, as ...h2 wins on the spot (the elementary ...Ra1 and ...Ra2+ trick, winning the h2 rook).

The king has to stay at b2, and the rook should be transferred to the third rank. 1.Rh4 Kd5 2.Rg4 looks safe enough.

1.Rf8 is not obscure: White wants to transfer the rook to the third rank, but 1.Rg8? fails to 1...Rh2+ plus ...Rg2, and 1.Re8? to 1...Kd4.

Ah, makes sense. I probably wouldn't even look at this move in a game, tbh. Still worth remembering.

Oh nice