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Subject: Re: K+P ending in practical play

Author: Ernst A. Heinz

Date: 10:30:07 10/26/98

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On October 26, 1998 at 12:43:26, Bruce Moreland wrote:
>
> [...]
>
>One of the things you hear about if you talk to old-timers in this field is >that
>the square of the pawn is a totally important evaluation term.  I'm not sure >who
>said it, but someone said that it's worth 100 Elo points.  This was a long time
>ago, back when programs would get killed in endings routinely, but I get the
>idea that this wisdom hasn't been re-evaluated much since then.  It is my
>opinion that square of the pawn is worth almost nothing in practical play, >since
>the number of K+P endings that actually occur, with play still in them, seems >to
>be approximately zero.

I am an avid proponent of including a sophisticated yet still static Pawn-race
analysis in the evaluation (I deem the "square of the Pawn" rule to be too
simplistic). But I cannot give you any quantitative figures about how much it
is actually worth in practical playing strength if you do so.

>8/6pp/4pk2/4p3/2PqP3/3Q2P1/4KP2/8 w - - 18 62
>
>White to move and lose.  My program played 62. Qxd4, with a score of about +1,
>although the move apparently loses by force.  I would be interested to know if
>other programs avoid 62. Qxd4.  If white can safely avoid this move it should >be
>better, I think.

"DarkThought" with sophisticated Pawn-race scoring as mentioned above and
running on a 600MHz Alpha-21164a fails low on 62. Qxd4 in iteration #11
after roughly 2 sec. Thereafter, it wavers between 62. Qc2 and 62. Qf3+ which
it both scores as slightly positive for White.

>8/6pp/4pk2/8/2PpP3/6P1/4KP2/8 w - - 0 63
>
>White to move.  Here is the positions with the queens off, if this helps >anyone.
> I think white is lost already here.

If your FEN is correct, "DarkThought" disagrees. It suggests to play 53. e5+
and scores the position as roughly equal.

PV = 63. e5+ Kxe5 64. Kd3 Kd6 65. Kxd4 e5+ 66. Ke4 Kc5 67. Kxe5 Kxc4 ...

>8/6p1/5k2/2P4p/3pPP2/8/4K3/8 w - - 0 66
>
>White to move is completely lost.  Mine figures this out after a while, but it
>takes too long, in my opinion (over a minute on a P6/200 to really start to
>crater).  I'd be interested in knowing if anyone knows they are dead quickly.

Yes, now White is completely lost. "DarkThought" scores the position as -1.4
after a couple of seconds and fails below -6 after half a minute.

Thanks for posting this interesting position.

=Ernst=



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