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A Classic Ending Study

This is among the first ending studies I ever encountered as a teenager decades ago. How does white win?

2K5/2P4R/k7/8/8/8/2r4p/8 w - - 0 1

V-1

1.Kb8! h1=Q
2.Rxh1 Rb2+
3.Ka8 Rc2
4.Rh6+ Ka5
5.Kb7 Rb2+
6.Ka7 Rc2
7.Rh5+ Kb4
8.Kb6 Rc4
9.Rh4 Rxh4
10.c8=Q
It's a winning position for white.

V-2

1.Kb8 Rb2+
2.Ka8 Rc2
3.Rh6+ Ka5
4.Kb7 Rb2+
5.Ka7 Rc2
6.Rh5+ Ka4
7.Kb6 Rb2+
8.Ka6 Rc2
9.Rh4+ Ka3
10.Kb6 Rb2+
11.Ka5 Rc2
12.Rh3+ Kb2
13.Rxh2 Rxh2
14.c8=Q
It's a winning position for white.
The puzzle is very instructive and useful.

V2, obviously, is the main line. I have often seen it described as Lasker's Ladder.

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