Difference between revisions of "Queen versus Pawn"

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=Rook Pawn on 7th=
 
=Rook Pawn on 7th=
 
The [[Draw|draw]] motive is a [[stalemate|stalemate]] threat, after the defending king blocks its own pawn after a queen check on the neighbouring knight file, so that the attacking king can't come closer.
 
The [[Draw|draw]] motive is a [[stalemate|stalemate]] threat, after the defending king blocks its own pawn after a queen check on the neighbouring knight file, so that the attacking king can't come closer.
A [[Distance|Chebyshev Distance]] of at least four to the [[Promotion Square|promotion square]] with a [[Manhattan-Distance|Manhattan distance]] less than eight for the attacking king is necessary to win that game (<span style="background-color: #c0ffc0;">green area below</span>).
+
A [[Distance|Chebyshev distance]] of at least four to the [[Promotion Square|promotion square]] with a [[Manhattan-Distance|Manhattan distance]] less than eight for the attacking king is necessary to win that game (<span style="background-color: #c0ffc0;">green area below</span>).
 
However, there are positions where the attacking king may reduce the distance due to [[Discovered Check|discovered check]].
 
However, there are positions where the attacking king may reduce the distance due to [[Discovered Check|discovered check]].
  
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<span id="BishopPawn7"></span>
 
<span id="BishopPawn7"></span>
 
=Bishop Pawn on 7th=  
 
=Bishop Pawn on 7th=  
work in progress ...
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A similar draw motive occurs here with [[Stalemate|stalemate]] after the queen captured the bishop pawn.
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The winning area of the attacking king is depending whether the defending king resides on the [[Pawn Spans|lee-side]] or [[Pawn Spans|luff-side]] .
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<span id="Lee"></span>
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==Lee case==
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The defending king on the [[Pawn Spans|lee-side]] is able to threaten [[Stalemate|stalemate]] in the corner.
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Critical squares are the neighbouring square on the [[Pawn Spans|luff-side]] (i.e. for black pawn on c2, d2),
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and the diagonal neighbouring square on the lee-side one rank back (i.e. for black pawn on c2, b3).
 +
Only if the attacking king can reach these squares in one move, it can assist in a [[checkmate|Checkmate]] with the queen - otherwise it is a draw
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- except the rare cases the attacking king may reduce the [[Distance|Chebyshev distance]] accordantly, giving [[Discovered Check|discovered check]] <ref>Lee-case implemented as [[Interior Node Recognizer]] in [[IsiChess]]</ref>.
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 +
{|
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|  <fentt border="double" style="font-size:24pt">...Q..../......../......../......../(...)K..../(.+...).../(.kp+.).../kk(...)...</fentt>
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|  <fentt border="double" style="font-size:24pt">.......Q/......../......../......../(...)K..../(.+...).../(.kp+.).../k.(...)...</fentt>
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|-
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| Draw
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| Win due to [[Discovered Check|discovered check]]
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|}
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==Luff case==
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When the defending king supports its pawn from the "wrong" [[Pawn Spans|luff-side]], including occupying its promotion square, 
 +
the winning area for the attacking king is enlarged by at least one move, in luff-direction even two moves.
 +
The critical luff-side square is now one more farther (i.e. for black pawn on c2, e2), and both squares need to be reached in two moves
 +
to either transpose to a winning [[#Lee|lee-side case]], or to assist in a checkmate on the luff-side.
 +
 
 +
{|
 +
|  <fentt border="double" style="font-size:24pt">......../......../..Q...../(....)..K./(.......)./(.+.....)./(..pk+..)./(..kk...).</fentt>
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|  <fentt border="double" style="font-size:24pt">......../......../.......Q/(....)..K./(.......)./(.+.....)./(..pk+..)./(.......).</fentt>
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|  <fentt border="double" style="font-size:24pt">......../......../.......Q/(....)..K./(.......)./(.+.....)./(..p.+..)./(..k....).</fentt>
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|-
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| Draw
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| Win due to [[Discovered Check|discovered check]]
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| Draw since check parried by [[#Lee|Kb1/b2]]
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|}
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 +
=See also=
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* [[Draw Evaluation]]
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* [[Interior Node Recognizer]]
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* [[KPKP]]
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 +
=Publications=
 +
* [https://en.wikipedia.org/wiki/Reuben_Fine Reuben Fine] ('''1941'''). ''[https://archive.org/details/basicchessending00reub Basic Chess Endings]''. [https://en.wikipedia.org/wiki/George_Bell_%26_Sons Bell & Sons]
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* [https://en.wikipedia.org/wiki/Yuri_Averbakh Yuri Averbakh], Victor Henkin, [https://en.wikipedia.org/wiki/Vitaly_Chekhover Vitaly Chekhover] ('''1986'''). ''Comprehensive Chess Endings 3: Queen Endings''. [https://en.wikipedia.org/wiki/Pergamon_Press Pergamon Press]
 +
* [[Karsten Müller]], [https://en.wikipedia.org/wiki/Frank_Lamprecht Frank Lamprecht] ('''2001'''). ''[http://www.gambitbooks.com/books/Fundamental_Chess_Endings.html Fundamental Chess Endings]''. [https://en.wikipedia.org/wiki/Gambit_Publications Gambit Publications]
 +
* [https://en.wikipedia.org/wiki/Reuben_Fine Reuben Fine], [https://en.wikipedia.org/wiki/Pal_Benko Pal Benko] ('''2003'''). ''[https://en.wikipedia.org/wiki/Basic_Chess_Endings Basic Chess Endings]''. [https://en.wikipedia.org/wiki/David_McKay_Publications McKay]
 +
* [https://en.wikipedia.org/wiki/Yasser_Seirawan Yasser Seirawan] ('''2003'''). ''[https://dl.acm.org/doi/book/10.5555/1200939 Winning Chess Endings]''. [https://en.wikipedia.org/wiki/Everyman_Chess Everyman Chess]
  
 
=Forum Posts=
 
=Forum Posts=

Revision as of 09:16, 26 July 2020

Home * Evaluation * Game Phases * Endgame * Queen versus Pawn

The Queen versus Pawn Endgame (KQKP) is usually won by the queen side, in particular if the queen can occupy the pawn's frontspan. Even if the pawn is ready to promote, supported by its own king, the technique is to come closer with the attacking king, after the defending king was forced to block the promotion square due to a queen check. However, with rook and bishop pawns on the seventh (second) rank, stalemate is looming with the defending king in the corner. There are even some rare cases with center and knight pawns where the attacking king hinders its own queen to give check [1]. This endgame with pawn on the 7th rank often occurs after a KPKP pawn race with unstoppable passers, where the cardinality of their frontspans differs by two with the defending side to move.

Rook Pawn on 7th

The draw motive is a stalemate threat, after the defending king blocks its own pawn after a queen check on the neighbouring knight file, so that the attacking king can't come closer. A Chebyshev distance of at least four to the promotion square with a Manhattan distance less than eight for the attacking king is necessary to win that game (green area below). However, there are positions where the attacking king may reduce the distance due to discovered check.

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       
        
        
       
        
        
      
       
   ♕    
        
        
    ♔   
        
        
♟♚      
 ♚      
    
    
    
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    
    
       
        
        
       
        
        
      
        
       ♕
        
        
    ♔   
        
        
♟♚      
        
Draw Win due to discovered check

Bishop Pawn on 7th

A similar draw motive occurs here with stalemate after the queen captured the bishop pawn. The winning area of the attacking king is depending whether the defending king resides on the lee-side or luff-side .

Lee case

The defending king on the lee-side is able to threaten stalemate in the corner. Critical squares are the neighbouring square on the luff-side (i.e. for black pawn on c2, d2), and the diagonal neighbouring square on the lee-side one rank back (i.e. for black pawn on c2, b3). Only if the attacking king can reach these squares in one move, it can assist in a Checkmate with the queen - otherwise it is a draw - except the rare cases the attacking king may reduce the Chebyshev distance accordantly, giving discovered check [2].

    
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    
    
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    
    
    
       
        
        
        
       
        
      
      
   ♕    
        
        
        
   ♔    
 •      
 ♚♟•    
♚♚      
    
    
    
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    
    
    
       
        
        
        
       
        
      
       
       ♕
        
        
        
   ♔    
 •      
 ♚♟•    
♚       
Draw Win due to discovered check

Luff case

When the defending king supports its pawn from the "wrong" luff-side, including occupying its promotion square, the winning area for the attacking king is enlarged by at least one move, in luff-direction even two moves. The critical luff-side square is now one more farther (i.e. for black pawn on c2, e2), and both squares need to be reached in two moves to either transpose to a winning lee-side case, or to assist in a checkmate on the luff-side.

    
    
    
    
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    
    
    
        
        
       
       
        
        
      
      
        
        
  ♕     
      ♔ 
        
 •      
  ♟♚•   
  ♚♚    
    
    
    
    
    
    
    
    
        
        
       
       
        
        
      
        
        
        
       ♕
      ♔ 
        
 •      
  ♟♚•   
        
    
    
    
    
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    
    
    
        
        
       
       
        
        
       
       
        
        
       ♕
      ♔ 
        
 •      
  ♟ •   
  ♚     
Draw Win due to discovered check Draw since check parried by Kb1/b2

See also

Publications

Forum Posts

External Links

References

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