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Hmm . . . No moves shown.
1. Rd5 and move pawn up then support with the king.
Swap Rook asap and keep oppositiion with the king in front of pawn.
I'm guessing it's a draw. I'm pretty sure both Rb1 and Rd5 aren't good because they allow the black king to get closer.
The most thematic move is 1.Re1 cutting off the king, which definitely wins fairly easily. There may be other moves that win as well but nothing else is worth considering.
That makes sense. I've never studied this endgame, but I know that it should be drawn if the king can get close enough.
If the king is already cut off from the 'd' file (and thus a-c) why is it better for it to be cut off from the 'e' file as well?
That's a very good question. Why should you do it?
Firstly, because you can, and there's no reason not to. It's simply good technique.
Let's change the position slightly. Imagine White's king was on c3 and Black's king was on e7, and make it Black to move. ...Rd8 would now draw easily. White wouldn't be able to engineer a winning pawn ending by exchanging, and moving away allows Black's king to come over with an easy draw. Cutting the king off further means you don't have to worry about this type of thing.
Secondly, in this specific position, its likely White's king will need to venture to the d-file to avoid frontal checks from the Black rook, in this case he obviously won't want his own rook on d1.
After 1.Rd5? Ke6! (the only move to draw as 1...Ke7? allows 2.b5) is a clear draw. Here are some possiblities:
2.Kc4?! draws instantly to 2...Rxb4+!
2.Rc5 Kd6 3.Kc4 Ra8 (keeping the rook on the back rank is the clearest draw. 3...Rb7 also draws but is a little more complicated) 4.b5 (Otherwise no progress can be made) 4...Ra4+! 5.Kb3 Kxc5 6. Kxa4 Kb6! with a drawn K+P ending.
2.Ra5 Kd6 (other moves also draw) 3.Ka4 Kc6 4.b5+ Kb6 5.Ra6+ Kb7 6.Ka5 Rc8 (not 6...Ra8? 7.Rxa8 Kxa8 8.Kb6!) 7.Rb6+ Ka7 (but not 7...Kc7? 8.Rc6+ Kb7 9.Rxc8 Kxc8 10.Kb6) 8.Ra6+ (there's nothing better) 8...Kb7 9.b6 Rc5+! 10.Kb4 Kxa6 11.Kxc5 Kb7!
Therefore, white should instead play 1.Re1! with an easy win. (1.Rd6+ Ke7 2.Rd4! also wins, but not as easily as 1.Re1!)
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