An instructive composition by Baker. The position is almost perfectly symmetrical, but White can do things Black can’t to win.
This solution is an excellent example of losing a move to win: 1.Kd1 Ke7 2.Kc2 Kd8 3.Kd2 and now we have the original position with Black to move! Why would White do that? The simple reason is that now Black can only go to one side or the other, and then White goes to the opposite side and gobbles up the enemy pawn first. 3...Ke7 The winning process is essentially the same after 3...Kc7 4.Ke3 Kd8 5.Ke4 Ke7 6.Kf5 Kf7 7.Kxg5 4.Kc3 Kd8 5.Kc4 Kc7 6.Kb5 Kb7 7.Kxa5 Ka7 8.Kb5 Kb7 9.a5 Kc7 10.a6 Kc8 11.Kb6 Kb8 12.a7+ Ka8 13.Kc7 and all the black pawns go.