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Queen versus Pawn

3,660 bytes added, 10:16, 26 July 2020
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=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.
A [[Distance|Chebyshev Distancedistance]] 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]].
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=Bishop Pawn on 7th=
work A similar draw motive occurs here with [[Stalemate|stalemate]] after the queen captured the bishop pawn. 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]] . <span id="Lee"></span>==Lee case==The defending king on the [[Pawn Spans|lee-side]] is able to threaten [[Stalemate|stalemate]] in the corner. Critical squares are the neighbouring square on the [[Pawn Spans|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|Checkmate]] with the queen - otherwise it is a draw - 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>. {|| <fentt border="double" style="font-size:24pt">...Q..../......../......../......../(...)K..../(.+...).../(.kp+.).../kk(...)...</fentt>| <fentt border="double" style="font-size:24pt">.......Q/......../......../......../(...)K..../(.+...).../(.kp+.).../k.(...)...</fentt>|-| Draw| Win due to [[Discovered Check|discovered check]]|} ==Luff case==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 progress 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>| <fentt border="double" style="font-size:24pt">......../......../.......Q/(....)..K./(.......)./(.+.....)./(..pk+..)./(.......).</fentt>| <fentt border="double" style="font-size:24pt">......../......../.......Q/(....)..K./(.......)./(.+.....)./(..p.+..)./(..k....).</fentt>|-| Draw| Win due to [[Discovered Check|discovered check]]| Draw since check parried by [[#Lee|Kb1/b2]]|} =See also=* [[Draw Evaluation]]* [[Interior Node Recognizer]]* [[KPKP]] =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]* [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]
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