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Queen versus Pawn

4,009 bytes added, 11:50, 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]].
{|
| <fentt border="double" style="font-size:24pt">...Q..../......../......../(....)K.../(.....).../(.....).../(pk...).../(.[k]k...)...</fentt>| <fentt border="double" style="font-size:24pt">.......Q/......../......../(....)K.../(.....).../(.....).../(pk...).../(.k....)...</fentt>
|-
| Draw, &#172;([[King|&#9818;]][[Squares|a1]] &and; [[Queen|&#9813;]][[Square Control|&#10503;]][[Squares|c1]])
| Win due to [[Discovered Check|discovered check]]
|}
<span id="BishopPawn7"></span>
=Bishop Pawn on 7th=
work A similar draw motive occurs here with [[Stalemate|stalemate]] after the queen captured the bishop pawn. The <span style="background-color: #c0ffc0;">winning area</span> 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+.).../[k]k(...)...</fentt>| <fentt border="double" style="font-size:24pt">.......Q/......../......../......../(...)K..../(.+...).../(.kp+.).../k.(...)...</fentt>|-| Draw, &#172;([[King|&#9818;]][[Squares|a1]] &and; [[Queen|&#9813;]][[Square Control|&#10503;]][[Squares|c1]])| 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|promotion square]], the <span style="background-color: #c0ffc0;">winning area</span> 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 file farther away (i.e. for black pawn on c2, e2), and one critical square needs to be reached in progress two moves now, 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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