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Réti endgame study


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    AWARDCHESS

    Réti endgame study    · Chess

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    Image:Chess kll45.svg Image:Chess pll45.svg Image:Chess kdl45.svg Image:Chess pdl45.svg
    This article uses algebraic notation to describe chess moves.
    Richard Réti

    The Réti endgame study is a chess endgame study by Richard Réti. It was published in 1921 in Kagan's Neueste Schachnachrichten. It demonstrates how a king can make multiple threats and how it can take more than one path to a given location, using the same number of moves. It is arguably the most famous endgame study and is covered in many books on the endgame (see chess endgame literature). The procedure is known as the "Réti Maneuver" or "Réti's Idea" (Müller & Pajeken 2008:32-33), (Nunn 2007:118-19), (Dvoretsky 2006:26). Endgame composer Abram Gurvich called the theme "The Hunt of Two Hares" and it appears in many other studies and games (Müller & Lamprecht 2007:39). It is also called "chasing two birds at once" (Dvoretsky 2006:26).

    Contents

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    [edit] The study

    Richard Réti, 1921
    Image:chess zhor 26.png
    Image:chess zver 26.png a8 b8 c8 d8 e8 f8 g8 h8 kl Image:chess zver 26.png
    a7 b7 c7 d7 e7 f7 g7 h7
    a6 kd b6 c6 pl d6 e6 f6 g6 h6
    a5 b5 c5 d5 e5 f5 g5 h5 pd
    a4 b4 c4 d4 e4 f4 g4 h4
    a3 b3 c3 d3 e3 f3 g3 h3
    a2 b2 c2 d2 e2 f2 g2 h2
    a1 b1 c1 d1 e1 f1 g1 h1
    Image:chess zhor 26.png
    White to play and draw

    White is to move and draw in this position. At first inspection, it appears that White has no hope in drawing. His king is well outside the "square" of the black pawn (see king and pawn versus king endgame) and the king is a long way from supporting his own pawn. However, White can draw by making king moves that have two purposes. One goal is getting in the square of the black pawn, so it can be intercepted and the other is getting to the d6 square to support the promotion of his pawn.

    The black king will have to spend two tempi to stop the white pawn from promoting, and this is the number of tempi the white king needs to gain in order to get into the square of the black pawn.

    de la Villa, page 179
    Image:chess zhor 26.png
    Image:chess zver 26.png a8 b8 c8 d8 e8 x4 f8 x2 g8 x1 h8 kl Image:chess zver 26.png
    a7 b7 c7 d7 e7 x5 f7 x2 g7 x1 h7 x1
    a6 b6 c6 pl d6 x9 e6 x3 f6 x1 g6 x2 h6 x2
    a5 b5 c5 d5 e5 x1 f5 x3 g5 x5 h5 x4
    a4 b4 c4 d4 e4 f4 xo g4 h4
    a3 b3 c3 d3 e3 f3 g3 xo h3
    a2 b2 c2 d2 e2 f2 g2 h2 xo
    a1 b1 c1 d1 e1 f1 g1 h1
    Image:chess zhor 26.png
    Number of ways for the white king to get to squares in the minimum number of moves

    The second diagram shows the number of ways that the white king can get to various squares in the minimum number of moves. There are nine ways to get to d6, but only one of them allows him to get into the square of the black pawn.

    The solution is for the white king to follow the path on the diagonal marked by "1" and then follow the dots to intercept the black pawn (if necessary):

    1. Kg7! h4
    2. Kf6 Kb6 Black has to spend a tempo on preventing the white king from reaching his pawn. If 2... h3 then 3. Ke7 h2 4. c7 Kb7 5. Kd7 and both pawns promote, with a drawn position.
    3. Ke5! Kxc6 Black has to spend another tempo to capture the pawn, to prevent the white king from protecting it. If 3... h3 then 4. Kd6 h2 5. c7 h1=Q 6. c8=Q, draw (Müller & Pajaken 2008:12-13). Now the white king has gained enough tempi to get in the square of the black pawn and intercept it:
    4. Kf4, draw since the white king can stop the pawn from promoting (e.g. 4... h3 5. Kg3 h2 6. Kxh2) (de la Villa 2008:179-80).

    [edit] Another study with the same idea

    Richard Réti, 1928
    Image:chess zhor 26.png
    Image:chess zver 26.png a8 b8 c8 d8 e8 f8 g8 h8 Image:chess zver 26.png
    a7 b7 c7 d7 e7 f7 g7 pd h7
    a6 kd b6 c6 pl d6 e6 f6 pd g6 h6 pd
    a5 b5 c5 d5 e5 f5 g5 h5 kl
    a4 b4 c4 d4 e4 f4 g4 h4
    a3 b3 c3 d3 e3 f3 g3 h3
    a2 b2 c2 d2 e2 f2 g2 h2
    a1 b1 c1 d1 e1 f1 g1 h1
    Image:chess zhor 26.png
    White to move and draw

    Réti used the same idea in another study. The solution is:

    1. Kg6 Kb6
    2. Kxg7 f5
    3. Kf6! f4

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