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Queen versus Pawn

534 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=
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 [[Pawn Spans|lee-side]] one rank back (i.e. for black pawn on c2, [[Distance|&#977;(&#9812;,b3)]]). <ref>[[Interior Node Recognizer]] implemented Only if the attacking king can reach these squares in one move, it can assist in a [[IsiChessCheckmate|checkmate]]</ref>with the queen - otherwise it is a draw * Attacking - except the rare cases the attacking king may reduce the [[Distance|Chebyshev distance by ]] accordantly, giving [[Discovered Check|discovered check]]* With a <span style="background-color: #c0ffc0;"ref>distance below two</span> to any of these critical squares, the game is won. * <span id="rule3"></span>A <span style="backgroundLee-color: #cc80cc;">distance of two</span> to any of these critical squares is not sufficient, if the defending king is on the case implemented as [[Interior Node Recognizer]] in [[Pawn Spans|lee-sideIsiChess]], corner square (i.e. a1), or the 7th</8th (1st/2nd) rank on the knight file (i.e. b1, b2)ref>.* Exception: attacking king can immediately capture pawn
{|
| <fentt border="double" style="font-size:24pt">...Q..../......../......../{....}..../(...){K...}./(.+...).){.}./(.kp.+.){.}../{kk.}[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]]
|}
* A ==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: #cc80ccc0ffc0;">distance of twowinning area</span> for the attacking king is required 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 win be reached in two moves now, to either transpose to a winning [[#Lee|lee-side case]], or to assist in a checkmate on the game otherwiseluff-side. 
{|
| <fentt border="double" style="font-size:24pt">......../......../..Q...../{(....})..K./(...){....})./(.+.....){.}./(..pk+..){.}/(./{.kk.k}(k..){.}.</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 [[#rule3Lee|Kb1/b2]]
|}

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