This position is famous for good reason. Despite the simplicity of the position, there are several different ideas floating around. The solution runs as follows: 1 c7 Rd6+ 2 Kb5 (2 Kb7 Rd7 and 3 ... Rxc7 draws and 2 Kc5 Rd1 and 3 ... Rc1 draws) Rd5+ 3 Kb4 Rd4+ 4 Kb3 Rd3+ 5 Kc2 Rd4!
Now if the pawn promotes, 6 ... Rc4+ forces a stalemate. So White plays 6 c8(R)! This threatens mate, and 6 ... Ra4 is the only answer. But then 7 Kb3! threatens the rook and mate, and White wins.
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