after 36...Ke6
37.g4.
There's not much for White to do here except push pawns, shuffle his
king back and forth, try to stop Black's pawn advances, and hope for
Black to make a mistake. White's king can't penetrate Black's
crippled queenside pawns without wasting too much time, he'd have to
take a trip like Ke4-d4-c4-b3-a4-a5-a6-Kxa7-b7-Kxc7-Kxc6 before his
queenside pawns could promote b5-b6-b7-b8 a sequence of 15 moves.
But Once White's king hits d4 Black plays Kf5-f4-g3-Kxg2 then
pushes the f-pawn f5-f4-f3-f2-f1, and gets a queen 6 moves before White
does. When you're in a queening race, it's a very helpful
technique to
count the moves needed to queen a pawn
for both sides and then compare the counts. If you can
queen much faster then your opponent, feel free to enter the race, and
when your opponent can queen in fewer steps than you, avoid the race if
you have another way of promoting. Comparing queening
counts is
much easier
and far less error prone than trying to calculate a sequence of moves
for both sides ("I go here, he goes there, I go here, he goes there").
There are some slightly shorter sequences for White that include
b5 but they still take about 12-13 moves to queen versus white's 9.
And Black doesn't have to let White penetrate the queenside
without a fight -- Black's king can switch over to the queenside to
hold down the fort while advancing his 3 vs. 2 kingside
pawn majority
(you have a pawn majority is when you have more pawns than your
opponent across a set of consecutive files) to promote a pawn on the
kingside.
I briefly entertained 37...Kd5-c4-b3-xb2 to gobble up White's queenside
pawn chain to draw White's king away from the kingside, but noticed
that White shuts out the Black king with 38.b3. I reazlied that
I didn't know what to do here to win, even though I thought for sure
that I had a won position.
I.continued
37...f6.
It turns out this is the correct move! The principle involved here is that you want to
lead with the pawn that can become a passed pawn,
which is usually the pawn in your majority that has no enemy pawn on
the same file (such an unopposed pawn is called a "candidate").
Another very good
principle is to
avoid creating backward pawns.
A backward pawn is a pawn that cannot advance without
losing material. Backward pawns can be bad because king
and pawn endgames almost always include the notion of
Zugzwang,
or the state of having to move when you don't want to because it
worsens your position. When you have backward pawns and your
king is in zugzwang elsewhere on the board, you can't free yourself by
pushing the backward pawn to waste a tempo because you end up losing
material (the pawn you moved, usually).
38.h4 g6
after 38...g6
38...g6 is also the
correct move, even though the g pawn is officially "backwards." In this case it
doesn't matter because the g-pawn is not going to advance. Instead, pawn on g6 wiill
support the subsequent advance of the f-pawn f5, in order to
create a passed pawn.
38...h6? is terrible because the g-pawn becomes badly backwards
after 39.h5! where Black's pawns are stopped cold and his
advantage neutralized.. 38...f5? is bad of course because it just
throws away the f-pawn for nothing.
39.c4
White is starting to use up his safe
reserve tempos, or
pawn moves that waste time to force Black to move again. When
White runs out of safe reserve tempos his pawn moves will lose more
material, and once Black creates a passed pawn White will not want to
retreat his king, allowing the Black pawn to advance towards promotion.
Black's 39th move is the first key position and opportunity that I missed in the
endgame.
39...h6
39...h6 doesn't toss away the win but it's not to the point,
which is to advance the outside f-pawn to create a passed pawn.
I think I was concerned about the g-pawn being backward, but didn't
realize that this didn't matter because, again, the g-pawn's job here
is to suppport the advance of the f-pawn. The principle of
advancing the candidate pawn still applies here. Fritz agrees: he
rates 39...f5 is the best move at 18 ply. As Dan said in my
lesson, "after 39...f5, what's White going to do?" 39...f5
40.gxf5 gxf5 and Black's created a passed pawn. After this
all of White's pawn moves go nowhere, and once he makes them all he must
end up retreating his king or trying to enter a queening race that
he'll lose via Kg5-h6-xh7-g7 followed by h5-h6-h7-h8Q.xg2- Ke5
where White queens in 8 moves and Black queens in 5 moves Ke5,
f4-f3-f2-f1Q. Also no good is 40.g5, which just gives the passed
pawn to Black on a silver platter, with a bonus: Black's f5 pawn then
becomes a
protected passed pawn,
(protected by the g6 pawn). With the f5 passed pawn protected,
Black's king is freed to wander
around the board wreaking havoc on White's remaining pawns. 40.h5 is
of no concern at all because 40...gxh5 41.gxf5+ Kf6 creates two
passed pawns
on the h file for Black, tying the Black king down to the h file,
allowing the Black king to mop up White's queenside pawns and promote
on the queenside. And after 40.h5 gxh5 41.gxh5 h6 White's king must
give way after he's exhausted his pawn moves and Black achieves 2
passed pawns on the kingside (e.g., 42.b3 Kf6 43.b5 c5
44.Kf3 Kg5 45.Kg3 Kxh5).
But White can't be careless, 40.h5 Kd6 draws because then
41.hxg6 hxg6 42.gxf5 gxf5 43.Kxf5 and good-bye extra pawn.
40.b3 g5+
Still missing f5, the advance of the outside pawn, but still not tossing away the win on the kingside yet .
after 40...g5+
41.hxg5 hxg5+ 42.Ke4. I saw the opportunity to create a passed pawn via a neat little Zugzwang here, and did:
42...f5+ 43.gxf5+ Kf6 44.b5
after 44.b5
When White next moves his king his
f-pawn must fall. I thought it very unsporting of him to keep
pushing his other pawns simply in order to delay my certain victory
(!). However, when given a choice between making a move that
loses right away and one which loses a little bit later, choose the move that loses later,
your opponent may make a mistake, especially when low on time. At
this point I had about 3:30 left on my clock to my opponent's 1:30.
I spent one third of my remaining time (about 1 minute) thinking and came
up with the following "gem," for this second critical position of this
endgame:
44...cxb5?
I honestly don't recall what was going through my head. I
think I was worried about White's king penetrating after 44...c5
45. Kd5, but a quick queening count after 44...c5 45.Kd5 shows 8
moves for White
and 5 moves for Black with Black to move in order to queen. That
counting should have taken about 10 seconds to prove that 44...c5 was
safe. I think I was impatient and just wanted White to move his
king so I could win his f-pawn. But still, I didn't move
quickly, I did spend almost one minute of my remaining 3 minutes
thinking before playing 44...cxb5. In my defense I'd been
playing about 3 consecutive hours of serious brain-burning chess at
this point, which goes to show that mental endurance is definitely a
requirement for good chess playing. One must strive to play the best moves on each move of the game!
However as Dan pointed out, I could have taken almost all 3
minutes and then won fairly easily after 44...c5 since it was just
pushing pawns, and I'd be receiving an extra 5 seconds for every pawn
push to create a comfortable time cusion to win after I queened.
After 44...c5, all of White's moves lose material: 45.
K(anywhere) Kxf5, 45.b5 cxb6 and Black's pawns form a connected
chain in a 3 vs. 2 scenario. 45.b4 cxb4 and Black has passed
pawns on both sides of the board and White is totally, easily lost.
45.cxb5! and now Black's in Zugwang!
after 45.cxb5!
Black's a- and c-pawns are dangerously backwards: moving either
one allows White to capture and queen quickly. Any move of
Black's king results in the loss of his g-pawn, e.g., 45...Kf7 46.Kf3
Kf6 47.Kg4 Kf7 48.Kxg5 and White has the passed pawn and the win!
The only hope is to push the g-pawn, which forces the White king
to chase and capture on g3, which lets Black mop up white's dangerous
f-pawn and his b5 pawn as well::
45...g4 46.Kf4 g3 47. Kxg3 Kxf5 and now the kings race to the queenside
48. Kf3 Ke5 49. Ke3 Kd5 50. Kd3 Kc5 51. Kc3 Kxb5
after 51...Kxb5
52.b4
A good move, moving the White king results in a reasonably easy
win for Black, e.g., 52.Kb2 Kb4 53.Kc2 a5 54.Kb2 a4 55.bxa4 Kxa4
56.Kc3 Kb5 57.Kb3 Kc5 58.Kc3 c6 and we're in a standard "every Russian
schoolboy knows how to play this" winning king and one pawn versus king
position where Black has the opposition with this king in front of his
pawn. I saw that exchanging either Black pawn right away draws:
52...a5 53.bxa5 Kxa5 54.Kc4 Kb6 55.Kb4 with the opposition for
White and a standard drawn position. 52...c5 53.bxc5 Kxc5 and Black's a
pawn up but unfortunatley it's a rook pawn and
rook pawns are a draw
in king and one pawn versus king endings if the defending king
can get to the queening square ahead of the attacking king (because the attacker cannot dislodge the defender from the coner).
At this point I let my clock get down to 3 seconds before
playing out for a draw: Believe it or not, however, after 52.b4
the position is
still won
for Black, and so I'm calling Black's 52nd move the third critical position in
the endgame. It's a fairly tricky one, however, and I just
didn't have the time to think it out.
52.. c6 53. Kb3 a5 54. bxa5 Kxa5 55. Kc4 Kb6 56. Kb4 c5+ 57. Kc4 Kc6 {Game drawn by mutual agreement}
I was so upset with myself that I didn't play out the ending to stalemate. In hindsight I violated the principle of
give your opponent the opportunity to make mistakes. Just because
I knew how to draw the positon as White didn't mean my opponent knew! And in time pressure he may have made a mistake.
Now back to after 52.b4 and the third critical position in the endgame.:
after 52.b4
The correct move to win is 52...Ka4!
In all fairness to myself, I got down to 3 seconds on my
clock, and winning takes a pretty tricky maneuver where black actually
gets behind the
White king!
53.Kc4 anything else loses the pawn. 53...a6 forces the
White king to retreat (if 54.Kc5 Kb3 and white must move the pawn or
lose it outright next turn: (55.Kc6 Kxb4 56.Kxc7 a5 and Black wins
easily)
and if 55.b5 then 55...a5 56.Kc6 Kb4 and Black picks up White's b-pawn
and queens his a-pawn ). Continuing the winning line: 54.Kc3
Ka3 55.Kc4 Kb2 behind the White king! 56.b5 a5 and Black again
wins the queening race by one move because White must spend time
clearing away
Black's c-pawn.
Well, that's it! I hope you've enjoyed
this article, and found some useful technques and guidelines that you can use in your
own games. Good Chess to you!
Ken Whaley
Cupertino, CA, USA
October 2006
Copyright (c) 2006 Ken Whaley