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Black plays 1...Kf4 and saves the game as his
King gets into the “square” (a3-a8-f8-f3-a3).
In this case, when considering the true size
of a square, you must take into account whether
or not a pawn can make an initial move of two
spaces.
The following classic composition belongs to
the famous Czech Grandmaster Richard Reti.

At first sight, the position looks completely
lost for White (even though he has the move).
What’s going on here?
Black's King easily controls the c6-pawn, unlike
his White colleague, which seems to have no chance
of stopping Black's h5-pawn. However, White is
able to miraculously save the game!
1.Kg7
The race begins. White's King is moving closer
to his own pawn, while attempting to approach
opponent’s h-pawn as well. Still, his mission
looks hopeless.
1...h4 2.Kf6
Now Black has to make one of two choices. He
may try to destroy the c-pawn at once with I)
2...Kb6, or continue to push the h-pawn with II)
2...h3.
Let's take a look at both lines respectively:
I) 2...Kb6

What now? Is White lost? His pawn is about to
get captured and White's King is still far away
from opponent’s pawn, but...
3.Ke5!!
The turning point. Now White threatens to play
4.Kf4, catching up with Black's h-pawn, and he
has Ke5-d6 in mind as well!
3...h3
In case of 3...Kxc6 4.Kf4 (getting into the “square”!),
White has a draw.
4.Kd6
Now both pawns become Queens!
4...h2 5.c7 h1=Q 6.c8=Q, Draw!!
A remarkable end!
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