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Queen versus Pawn

1,022 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 by due to [[Discovered Check|discovered check]].While implementing this pattern inside a [[Interior Node Recognizer|interior node recognizer]], one has to take care that with the king in the corner (i.e. black king on a1), the queen has no mate in one (i.e. on c1).
{|
| <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=
A similar draw motive occurs here with [[stalemateStalemate|stalemate]] after the queen captured the bishop pawn. The <span style="background-color: #c0ffc0;">winning area </span> of the attacking king requires a bit more calculationis depending whether the defending king resides on the [[Pawn Spans|lee-side]] or [[Pawn Spans|luff-side]] . Critical squares for <span id="Lee"></span>==Lee case==The defending king on the [[DistancePawn Spans|lee-side]] is able to threaten [[Stalemate|Chebyshev Distancestalemate]] in the corner. Critical squares are on the same rank neighbouring square on the [[Pawn Spans|luff-side two squares apart ]] (i.e. for black pawn on c2, [[Distance|&#977;(&#9812;,e2)]]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|&#977;(&#9812;Chebyshev distance]] accordantly,b3)giving [[Discovered Check|discovered check]]). <ref>Lee-case implemented as [[Interior Node Recognizer]] implemented in [[IsiChess]]</ref>.* Attacking king may reduce distance by {|| <fentt border="double" style="font-size:24pt">...Q..../......../......../......../(...)K..../(.+...).../(.kp+.).../[[Discovered Check|discovered check]k]k(...)...</fentt>* With a | <span fentt border="double" style="backgroundfont-colorsize: #c0ffc0;24pt">distance below two.......Q/......../......../......../(...)K..../(.+...).../(.kp+.).../k.(...)...</spanfentt> |-| Draw, &#172;([[King|&#9818;]][[Squares|a1]] &and; [[Queen|&#9813;]][[Square Control|&#10503;]][[Squares|c1]])| Win due to any of these critical squares[[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 game is won. * A <span style="background-color: #cc80ccc0ffc0;">distance of twowinning area</span> to any of these critical squares for the attacking king is not sufficientenlarged by at least one move, if the defending king occupies the corner in luff-direction even two moves.The critical luff-side square is now one file farther away (i.e. a1for black pawn on c2, e2), and one critical square needs to be reached in two moves now, to either transpose to a winning [[#Lee|lee-side case]], or the 7th/8th (1st/2nd) rank to assist in a checkmate on the neighbouring knight file (i.e. b1, b2)luff-side.* Exception: attacking king can immediately capture pawn * A distance of two is required to win the game otherwise
{|
| <fentt border="double" style="font-size:24pt">......../......../..Q...../(....)..K./(.......)./(.+.....)./(..pk+..)./(..kk...).</fentt>| <fentt border="double" style="font-size:24pt">......../{....}..../.......Q/(....){..K./(.......})./(.+.....){.}./(.kp.pk+..){.}/(.../{kk.}(...){.}.</fentt>| <fentt border="double" style="font-size:24pt">.......Q./......../........Q/{(....}.)..K./(...){K...}.)./(.+.....){.}./(.kp.p.+..){.}/(../{k..}(...){.}.</fentt>
|-
| Draw
| Win due to [[Discovered Check|discovered check]]
| Draw since check parried by [[#Lee|Kb1/b2]]
|}
 
=See also=
* [[Draw Evaluation]]

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