Author: Nunn J.  

Tags: chess   board games   chess combinations   chess creativity  

ISBN: 1-901983-65-Х

Year: 2002

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Secrets of
Pawnless
Endings
An expanded edition of a ground-breaking work
John Nunn

Secrets of Pawn less Endings Revised and expanded edition John Nunn GHMBl
This edition first published by Gambit Publications Ltd 2002 First edition published by B.T. Batsford 1994 Copyright © John Nunn 1994, 2002 The right of John Nunn to be identified as the author of this work has been as- serted in accordance with the Copyright, Designs and Patents Act 1988. All rights reserved. This book is sold subject to the condition that it shall not, by way of trade or otherwise, be lent, re-sold, hired out or otherwise circulated in any form of binding or cover other than that in which it is published and without a similar condition including this condition being imposed on the subsequent purchaser. A copy of the British Library Cataloguing in Publication data is available from the British Library. ISBN 1 901983 65 X Distribution: Worldwide (except USA): Central Books Ltd, 99 Wallis Rd, London E9 5LN. Tel +44 (0)20 8986 4854 Fax +44 (0)20 8533 5821. E-mail: orders@Centralbooks.com USA: BHB International, Inc., 41 Monroe Turnpike, Trumbull, CT 06611, USA. For all other enquiries (including a full list of all Gambit Chess titles) please contact the publishers, Gambit Publications Ltd, P.O. Box 32640, London W14 OJN. E-mail Murray@gambitchess.freeserve.co.uk Or visit the GAMBIT web site at http://www.gambitbooks.com Edited by Graham Burgess Typeset by John Nunn Printed in Great Britain by The Cromwell Press, Wiltshire. 10 987654321 Gambit Publications Ltd Managing Director: GM Murray Chandler Chess Director: GM John Nunn Editorial Director: FM Graham Burgess German Editor: WFM Petra Nunn
Contents Explanation of Symbols 4 Introduction to the First Edition 5 Introduction to the Second Edition 7 1 Rook v Knight 9 2 Rook v Bishop 31 3 Queen v Rook 49 4 Queen and Knight v Queen 70 5 Queen and Bishop v Queen 123 6 Rook and Knight v Rook 155 7 Rook and Bishop v Rook 173 8 Queen v Rook and Bishop 235 9 Queen v Rook and Knight 266 10 Queen v Bishop and Knight 284 11 Queen v Two Bishops 290 12 Queen v Two Knights 300 13 Other Five-Man Endings 311 14 Six-Man Endings 323
Explanation of Symbols Important note: Readers should devote particular attention to this page, be- cause throughout the book I will use two common chess symbols in a non- standard way. The symbols concerned are the exclamation mark ! and the question mark ?. These symbols are normally bestowed in an arbitrary way by authors; some scatter them lavishly through the text, while others dole them out sparingly. However, in this book these two symbols have precise defini- tions which depend only very slightly on the author’s whim. The exclamation mark ‘! ’ after a move means that this move is the only one not to change the result of the position. For example, in a position which is winning for White, ‘ 1 Ha3!’ implies that Ha3 is the only move to preserve the win. The use of the word ‘only’ needs to be clarified. I consider a move to be unique (and therefore deserving of an exclamation mark), even if there are other moves that lose time by repeating the position. If there is only one legal move, 1 usually do not award it an *!’, except if I wish to emphasize a particular point, for example that there is a long sequence of ‘only’ moves. The use of '?’ is easier to explain: a move receives a question mark if it changes the result of the position. Of course a move can only change the result of a position for the worse. The symbols ‘!?’ and “?!’ refer to a move that doesn’t change the result of the position, but is a respectively good or bad idea from a practical viewpoint. One other point deserves explanation. Beneath each diagram you will find symbols such as ‘+/-’. Once again this is a method of displaying information compactly. The symbol before the slash 7’ gives the result of the position with White to move. This result is given from White’s point of view, so that a plus before the slash means that White to play wins, an equals sign means White to play draws and a minus means that White to play loses. The symbol after the slash gives the result with Black to move, from Black’s point of view. Thus the symbol above, *+/-’, means that White wins whoever moves first. To take an- other example, *=/-’ means that White to play draws, but with Black to play White wins. Sometimes we only give the result with one player to move, for example 4= means that Black to play draws. Normally this is because the po- sition makes no real sense with the other player to move, for example Black’s king might be in check.
Introduction to the First Edition This book is the sequel to Secrets of Rook Endings, and is a continuation of the theme of that book. Secrets of Rook Endings represented an innovation in the world of chess literature; for the first time, the power of the computer was linked to a human interpreter to produce a book in which every move was guaranteed to be accurate, but at the same time the moves were explained in a way comprehensible to average players. Secrets of Rook Endings provoked some strong responses; these were mostly positive, but there were a few play- ers who viewed the production of such a ‘Final Encyclopaedia’ with dismay, because it meant that a part of chess was forever frozen in silicon. As was in- evitable, a very few misprints crept into Secrets of Rook Endings, but basically the promise of the book was kept. This second volume deals in the same way with four- and five-piece end- ings without pawns. These include such important over-the-board endings as H+JL v E and W+JL v W. Only two significant endings are missing, namely _£+£> v and 2JL v Qs. These have been left out due to space limitations, but the good news is that they will appear in the third and final volume of this se- ries, Secrets of Minor-Piece Endings, which will appear during 1995. This book contains a higher percentage of composed positions than the first volume, and some readers may be slightly confused by the terminology of the endgame study world, so here is a summary. Composed positions of the ‘White to play and win’ or ‘White to play and draw’ type are called ‘studies’. The solution of a study should be essentially unique; if there is no solution, or multiple solutions, then the study is said to be ‘unsound’. In the latter case, an extra solution unintended by the composer is called a ‘cook’. A ‘try’ is a trap for the solver, a tempting line which appears to solve the study, but which in reality succumbs to a hidden refutation. A composer may well enter his study in a composing competition, or ‘tourney’, (abbreviated to ‘Tny.’ in this book). Some of the studies in such a tourney receive awards when the tourney is judged. These awards fall into three categories; the highest category is the ‘Prize’, abbreviated to ‘Pr.’; the second is the ‘Honourable Mention’, abbrevi- ated to ‘HM’; the lowest is the ‘Commendation’, abbreviated to ‘Comm.’. A final pair of abbreviations is the use of ‘ECE’ for the Encyclopaedia of Chess Endings and ‘BCE’ for Batsford Chess Endings. Readers should note that a few positions start with more than five men, but lead to a database position after a few moves. These introductory moves have not been checked using a database. However, I have examined these moves carefully myself.
6 Secrets of Pawnless Endings At times, readers may be slightly exasperated by the many cross-references in the analysis. It is always irritating when an interesting variation is inter- rupted with the remark ‘and we have transposed to line 4a of diagram 29 Г. In this book such references can involve a little thought, as the position may have to be rotated and/or reflected in order to match up with the reference. There- fore, whenever possible, I have continued variations to the end rather than give a cross-reference, but if the win is fairly complex I have had no choice but to refer the reader to another page; if I had not done this, the book would have been far larger (and therefore more expensive). One special type of position deserves a more detailed explanation, namely the reciprocal zugzwang. In a normal zugzwang, it doesn’t matter much who is to move, because the superior side usually has a waiting move with which he can pass if it is his turn to move. This is not so in a reciprocal zugzwang, which may be defined as a position in which whoever moves first has to weaken his position. In an ending such as E+JL v Б, where only one side has winning chances, we may be even more precise. Assuming that White has the rook and bishop, a reciprocal zugzwang is a position in which Black to play loses, but White to play can only draw. In other words, not only is Black in zugzwang if it is his turn to move, but White to play has no waiting move to maintain the zugzwang, so he is also in zugzwang if it is his turn to move. Re- ciprocal zugzwang positions often have an importance far out of proportion to their small numbers. Many of the endings in this book would, if they arose in a game, be pro- foundly influenced by the 50-move rule. Despite this, I have largely ignored the consequences of this rule other than to point out the general areas which are affected. A discussion of exactly which positions take more than 50 moves to win would take far too long, and would be of little importance in an over- the-board situation where optimal play is the exception rather than the rule. Moreover, FIDE has modified this rule a number of times in the recent past, and a lengthy discussion of such a mutable rule has little point. Finally, I would like to acknowledge the help I have received in writing this book, and the various products I have used during the past eight months. First of all there are the three CD-ROMs created by Ken Thompson, who not only constructed the databases but also responded to various requests for further information. Next comes Lars Rasmussen’s interface program for ac- cessing the data on the CD-ROMs. Thirdly, the van der Heijden study data- base proved invaluable. 1 would also like to offer a collective thank you to all the people at Chess- Base, who have been unfailingly helpful in making sure I received all the nec- essary material. The products mentioned above are available from ChessBase. Finally, I would like to thank Graham Burgess and my mother, for all their help with proof-reading this book.
Introduction to the Second Edition The first edition of this book, which was published in 1994, was the second volume in my trilogy exploring 5-man endgames (the first was Secrets of Rook Endings, now also available in a revised and expanded version from Gambit Publications; the third was Secrets of Minor-Piece Endgames). After some years Secrets of Pawnless Endings went out of print, but now I am de- lighted to be able to offer this new edition. The main changes are the 62 pages of extra material covering 6-man endgames and the lower price. The original endgame trilogy was a huge step forward in endgame litera- ture because it used the perfect knowledge of computer-generated databases to ensure the accuracy of the analysis. This was an innovative and, at the time, controversial step. However, over the intervening years the use of endgame databases has become an accepted feature of endgame writing and today it would be a brave (and probably foolhardy) author who would write about 5-man endgames without checking his analysis against the database. Endgame databases are having a gradually increasing effect on endgame theory. Over the past few years two main developments have served to empha- size this point. The first is the integration of the databases into normal chess-playing programs. Access to the databases of 1994 was based on simply looking up the positions in the database. The result was that even if you had a position in which a simple piece exchange would lead to a winning 5-man endgame, the interface to the database would simply report ‘position not found’. However, manufacturers of chess-playing software saw that the end- game play of their programs could be enhanced by a relatively simple step. When constructing the analysis tree for a given position, if a node in the tree was a five-man endgame, the node would be evaluated by looking up the re- sult in the database rather than analysing any deeper. Thus huge swaths of analysis could be eliminated, replaced by a simple look-up. The effect of this technique on endgame analysis is dramatic. If you have a position which is not in the database (because it contains 6 or 7 men, for example), but in which a winning database position can be forced within the normal search depth of the playing engine, then the program will announce a forced mate. The ‘normal search depth’ can be quite large; 30 ply (15 white and 15 black moves) is quite feasible. The only problem with this technique is that it only gives an upper bound for the distance to mate and the true figure is often sub- stantially less.
8 Secrets of Pawnless Endings The second main development is the construction of a large number of pawnless 6-man databases. Although other researchers have made such data- bases, Ken Thompson took the further step of making his available on the Internet, using an ingenious interface which allows anyone with a web browser to access them. The construction of the databases is only the first step since the task of extracting useful information is formidable, but I have made a first attempt in the lengthy chapter dealing with 6-man endgames (see p.323). In this chapter there are a number of surprises which upset existing endgame theory. In all cases where existing theory has been shown to be incorrect by the new databases, the error has been to underestimate the superior side’s win- ning chances. Two particular cases are W+JL v 2E and E+JL v with op- posite-coloured bishops. Although the superior side is only two ‘points’ of material up, both these endings are generally winning. There are some very long wins in this chapter, with the 242-move win on p.336 being the record. As to the future, doubtless further efforts will go into understanding the da- tabases which already exist, and into the construction of further six-man data- bases. The next major step will probably be the construction of six-man databases with pawns, which will undoubtedly revolutionize many areas of endgame theory. There are many exciting developments to look forward to, but I hope that readers will enjoy the current ‘start of the art’ as described in this book. Finally, I would like to thank Graham Burgess, Guy Haworth and Helen Milligan for their help with proof-reading this book. Of course, I accept re- sponsibility for any errors which have crept through. John Nunn Chertsey, January 2002
1 Rook v Knight In general, this ending is a draw. However, there are many situations in which the rook has winning chances. The first, and most obvious, is when the king and the knight are separated. If the knight cannot quickly return to safety, then it may be cornered and eventually captured. The second main possibility is when the defender’s king is badly placed. However, this is usually not suffi- cient by itself to cause a loss; it must be combined with a poor knight placing. We divide our analysis of this ending into four sections. The first section covers the standard drawing positions, and will be of particular value to over- the-board players who want to refresh their memory on the drawing tech- niques. The second section deals with the case in which the defender’s king is poorly placed. The third section analyses positions in which the king and knight are separated. The fourth section consists of more complex examples; some are taken from endgame studies while others are from over-the-board play. Although many players might imagine that a four-man ending cannot be all that complicated, the errors in section four should serve to convince them oth- erwise. Even Anatoly Karpov incorrectly evaluated a position in his Informa- tor analysis. 1.1: Standard drawing positions 9 1.2: King in the comer 10 1.3: Black’s knight is cut off 14 1.4: Practical examples 18 1.1: Standard drawing positions (1): If Black’s king is in the mid- dle of the board with the knight nearby, then there is nothing to say because the position is completely drawn. However, if Black’s king starts off on the edge of the board then he is in more danger. Neverthe- less, most positions are drawn. The situation with the king on the edge of the board frequently arises after a pawn promotion. For example, with
10 Secrets of Pawnless Endings \УФе4,ПЬ2 v ВФе1,А<12, the moves ФеЗ dl£w- lead to diagram 1. Black has no trouble drawing this position: 1Ф13 (after 1 ФdЗ £>f2+! White can- not make progress) £k3! 2 Ec2 “Ski 1! 3 Ee2+ ФП 4 Ed2 (4 Be8 2>f2) Фе1! 5 Ec2 (5 Bh2 £k3! is also a draw) ФП! 6 Ea2 Фе1! and White is unable to improve his position. If we move the two kings and the knight to the left, the result remains unchanged when the kings are on the d- and c-files, with identical anal- ysis. However, the result is changed if the kings are on the b-file ^ФЬЗ,ЕЬ2 v ВФЫ,2>а1). In this case White can win the knight imme- diately by 1 ФсЗ. The basic rule is that if Black’s king is on the edge of the board with the knight on a laterally adjacent square, then almost all positions are drawn. Black only loses if his king is very near a comer, or if White can win the knight immediately with a pin or a check. 2 =/= Kling and Horwitz, 1851 (2): This is a variation on the same theme. Even though Black’s king is near the comer, there is just enough space to hold the draw. In this case accurate defensive play is required. Play might continue 1 Ф16 £lh7+! 2 Фg6 2>f8+! 3 ФЬ6 ФЬ8! 4 Ef7 (4 Eg7 4&e6! 5 Ef7 Фg8! draws) Фg8! 5 Eg7+ ФЬ8 6 Egl (this is the key moment; Black must play carefully) and now: 1) 6...2>h7? 7 Фg6! Фg8 (alter- natively, 7...^)f8+ 8 Фf7) 8 Eg2 (a waiting move) £lf8+ 9 stfe+l ФЬ8 10 Ф(7 wins. 2) 6...£ie6? 7 Фg6! 2>f4+ (after 7...4)f8+, 8 Фf7 wins) 8 Ф(7 wins. 3) 6...£)d7! (the drawing move, because it allows Black to answer Фё6 by ...Ф88) 7 Фg6 (7 Edl 2>f8!) Фg8! 8 Efl (8 Eg2 *f8) 2>f8+! 9 ФГ6 &h7+! 10 Фе7 Фg7! and Black draws. Not surprisingly, if all the pieces in the above position are moved to the left, giving Wфf5,Ed7 v BФf8, ?3e8, then the same drawing method works, i.e. 1 Фg6 Фg8! 2 Ee7 Фf8! 3 Ef7+ Фg8 4 Efl 4ic7 as above. We will consider this position more carefully in diagram 19 below. 1.2: King in the corner Not all positions with the king and knight together are drawn; indeed, when Black’s king is stuck in the comer White has good winning chances. (3): With White to play 1 ФГ6! (1 ФЬб? Фg8! is diagram 2) £lh7+ (or 1 ...*g8 2 Ea8) 2 *f7 2>g5+ (2...&f8
Rook v Knight 11 Berger, 1890 3 Ea8, but not 3 ФхГ8?? stalemate) 3 &g6 wins the knight. Black to play draws by 1 ...i’gS! 2 ФЬб ФЬ8, as in diagram 2. If the knight is in the comer, then Black may be unable to save the game. 4 +/- Moravec, 1913 (end of study) La Strategic (4): We mentioned above that White to play wins immediately by 1 ФТЗ, but in fact White wins even if Black moves first. After l...^f2+ (1...ФП 2 ФГЗ Фgl 3 Ed2 is much faster) 2 ФВ 2kl3 (2...£>h3 3 ФgЗ) Black’s knight escapes from the cor- ner, but it is cut off from the king and White wins by 3 Ea4 and now: 1) 3...£>el+ (or З...ФП 4 Eal+ £lel+ 5 ФеЗ) 4 Фе2 £lg2 5 Eg4 ФЬ2 6 ФТ2! ФЫ 7 Eg8 wins. 2) 3...2>e5+ 4 ФgЗ ФП 5 Ef4+ Фgl 6 Ee4 £k!3 7 Ee3! picks up the knight. 3) 3...2>c5 4 Bal+ ФЬ2 5 Ea2+ Фgl 6 Ed2 21e6 (6...ФЫ 7 Ed5 and 8 Ф12, or 6...2>b3 7 Ed5 ФЬ2 8 ФТ2) 7 ФgЗ Фf 1 8 Ed5 (a typical winning position) £te7 9 Ee5 (zugzwang) 2>a8 (9...2>a6 ЮФТЗ! Фgl 11 Eg5+ ФЬ2 12 Eg2+ ФЬ 1 13 ФgЗ followed by Ee2, another characteristic ma- noeuvre) 10 ФГЗ Фgl 11 Eg5+ ФЬ2 12 Bg2+ ФЬ 1 13 ФgЗ forcing mate. 4) З...Ф112 4 Eh4+ Фgl 5 Ed4 £k5 (5...£lel+ 6 Фе2! transposes to line 1, while 5...£ie5+ 6 ФgЗ ФП 7 Ef4+ transposes to line 2) 6 Ed2, transposing to line 3. So far we have discussed the case in which the knight is adjacent to, and on the same rank as, Black’s king. This is normally the best defen- sive arrangement. Other situations are more risky. (5): White to play can win in vari- ous ways. ECE gives three methods, but Minev’s route is the fastest: 1 Фf6 2>h6 (1...ФТ8 2 Ed7!) 2 Bd8+ ФЬ7 3 Bd7+ ФЬ8 (З..Ф^8 4 Фg6) 4 Фg6 £>g8 5 Eh7 mate. Black to play cannot save the game, for example 1...21e5+ (1...2>h8+ 2 Фf6 2>f7 3 Ed4 and as in the White to play anal- ysis) 2 Фf6 £lg4+ (2...£te4 3 Ed7
12 Secrets of Pawnless endings 5 +/- ECE, 1986 (version) transposes to line 3 of diagram 4) 3 *f5 21e3+ (3...£>h6+ 4 *g6 2>f7 5 si?f6 transposes to the White to play analysis) 4 i’gb ФГ8 5 Bf2+ i’gS 6 Be2 wins. One of the worst arrangements for Black is to have his king on a7 or b8, and his knight on b7. Such positions were analysed by the Arabs as early as the 12th century. Here is an exam- ple. (6): White to play wins immedi- ately by 1 Bh7 Фа8 2 ФЬб, so we take Black to play: l...£ia5+ 2 ФЬ5 2>b7 (2...£fo3 3 Ed8 ФЬ7 4 Bdl traps the knight) 3 Ef8 (ECE gives 3 Bh5, which is just as good) £ki6+ 4 Феб 2k4 (or 4...4ie4 5 Hf7+ ФЬ8 6 Bb7+ Фа8 7 Bb4 5)f6 8 Ef4 2)h5 9 Ef5 £)g3 10 Bf3, followed by ФЬ6 or Фс7, forcing mate) 5 Ef4 5)a5+ (5...&d2 6 Ea4+ ФЬ8 7 ФЬб Фс8 8 Bf4 2>b3 9 Ef3 &d2 10 ВсЗ+ ФЬ8 11 Есб 5)b3 12 Bc4 and the knight is lost) 6 ФЬ5 2>b7 (6...2>b3 7 Bf7+ ФЬ8 8 Bd7 £kl 9 ФЬб wins) 7 Bd4 ФЬ8 8 Фаб! (a tricky moment, be- cause 8 ФЬб? Фс8! is a draw) Фс7 (8...&С5+ 9 ФЬб £»e6 10 Ed6!) 9 Ec4+! ФЬ8 10 Eb4! Фа8 11 ФЬб ФЬ8 (11...2>d6 12 Eh4 ФЬ8 13 Bh8+ £te8+ 14 Феб wins) 12 Феб Фа8 13 Eh4 ФЬ8 14 Eh8+ Фа7 and we return to the initial position, but with White to move; 15 Bh7 Фа8 16 ФЬб finishes Black off exactly as above. 6 +/- Arab manuscript, 1257 7 +/- Arab manuscript, 1140
Rook v Knight 13 (7): Firstly we suppose that White is to play. The quickest win is by 1 Edl ФЬ8 2 Фаб 2c5+ (2...Фс7 3 Bcl+! ФЬ8 4 Ebl! wins as in dia- gram 6) 3 ФЬб 2a4+ 4 Феб 2)c3 5 Eel Фа7 (5...2a2 6 Bbl+ Фс8 7 Фd6 is zugzwang) 6 ЕеЗ 2kll (or 6...2Ы 7 Bd3) 7 Bd3 2f2 8 Bd7+ ФЬ8 9 Eb7+ Фа8 10 ФЬб forcing mate. This analysis is reprinted in al- most all endgame books. However, it is a new discovery that White wins even if Black moves first. Because the analysis is very complicated we need to analyse a preliminary posi- tion: 8 +/- (8): White wins even if his rook is in a less favourable position. White to play wins as in diagram 6, so sup- pose that Black is to play: 1...2d8+ (1...2a5+ 2 ФЬ5 2b7 3 Edl is dia- gram 7) 2 Фс7! 2еб+ 3 Фd7 and now: 1) 3...2)с5+4Фс6! 2e6 (4...2)b3 5 Bh4 2ia5+ 6 ФЬ5 ^b7 7 Bd4 is di- agram 6 after White’s 7th move) 5 Bh7+ ФЬ8 (5...Фаб 6 Eh6 ^g5 7 Фс7+ Фа7 8 Есб 2f7 9 Ееб wins; the lining up of White’s rook and king to form a battery is another standard manoeuvre which we will see time and time again) 6 Eh5 is di- agram 4 after White’s third move. 2) 3...2)d4 4 Bh4! and now: 2a) 4...2T3 5 Ef4 2d2 (5...2g5 6 Фе7 ^h3 7 Bf3 ^>g5 8 ЕеЗ ФЬб 9 Фf6 2h7+ 10 Фg7 ^>g5 11 Фё6 wins) 6 Феб ФЬ8 7 Ф<15 Фс7 8 Ef7+ Фd8 (8...ФЬ6 9 Bf2) 9 Ef2 2b3 10 Bb2 2c 1 11 Феб wins. 2b) 4...2f5 5 Bf4 2e3 6 Феб ФЬ8 (6...2c2 7 Be4 ФЬ8 8 ФЬб wins) 7 ВЬ4+ Фа7 8 Ве4 2f5 (or 8...2с2 9 Фс5) 9 Фс7 Фаб 10 Веб+ Фа7 11 Ве5 wins. 2с) 4...2с2 5 Феб 2el (5...2еЗ 6 Ве4 is line 2b) 6 Еа4+ ФЬ8 7 Ес4 2f3 8 ФЬб 2е5 9 Ве4 2d7+ 10 Феб! <52»f6 11 Ef4 2h5 12 Bf5 2g3 13 Bb5+ Фа7 14 ВЬ7+ Фа8 15 ФЬб wins. 3) 3...2g5 4 Феб 2еб (4...2f3 5 Фс15 ФЬб 6 Bfl 2g5 7 Bf5 2h3 8 Фе4 wins) 5 Bal+ФЬ8 6 Bel 2d8+ (6...2g5 7 Be8+ Фа7 8 Фс7 Фаб 9 ЕеЗ 2f7 10 Bf3 2g5 11 Bf6+ Фа7 12 Веб 2f7 13 Веб) 7 Фd7 2b7 8 Be5 leading to the position after White’s 7th move in diagram 6. 4) 3...2f44 Феб 2d3 (4...2e6 is line 3) 5 Edl 2f4 6 Bd7+ ФЬ8 7 Be7 2d3 8 ФЬб Фс8 9 Be4 with zugzwang. Now we return to diagram 7 with Black to move. Black may try: 1) 1...ФЬ8 2 Феб! is diagram 8. 2) 1...2d8 2 Edl 2e6 (2...2b7 3 Bd7) 3 Феб ФЬ8 (3...2f4 4 Bd7+ is line 4 above) 4 Eel is line 3 above.
14 Secrets of Pawnless Endings 3) 1.Л&16+ 2 Феб (2...£te4 3 Sdl is diagram 4) 3 Eal+ ФЬ8 4 Eel Фа7 (4...^h4 5 Ee8+ Фа7 6 Веб when both 6...£>f3 and 6...^f5 are met by 7 Фс7 £)d4 8 Ee4 £)b5+ 9 Феб! 4k:3 10 Ee3, reaching dia- gram 7 after White’s 6th move) 5 Фс7 Фаб 6 Деб+ Фа7 7 Ее5 and wins. Mandler, 1924 Osterreichische Schachrundschau (9): This is a more complicated example. Black to play draws by l...^a5, so we take White to play. The winning line runs 1 Eg6+! Фа7 2 Феб! and now: 1) 2.J&18+ 3 Фd6! 2>b7+ 4 Фс15! and now: la) 4...ФЪ8 5 Феб! £la5+ (after 5...2kl8+ 6 Фd7 2>b7 7 Eg5 Фа7 8 Фс8, White wins as in diagram 7) 6 ФЬб £te4+ 7 ФЬ5 (White has a fa- vourable version of diagram 8) 4k5 (7...2>e3 8 Феб 2k4 9 Eg5) 8 Ee6 2>f3 9 Ee3 £ig5 10 Феб Фа7 11 Фс15 and the knight cannot escape. lb) 4...£ri8 5 Eg8 2>b7 6 Феб £la5+ 7 ФЬ5 £lb7 8 Ef8 transposes to diagram 6. 1c) 4...£ia5 5 Фс5! 2>b7+ 6 ФЬ5 ФЬ8 7 Феб! transposes to line la. 2) 2...£ia5+ 3 ФЬ5 £>b7 4 Eg5 ?ki6+ (4...2kl8 5 Ed5 2>e6 6 Феб ФЬ8 7 Ee5 2rf4 8 Ee4 ?ki3 9 ФЬб wins) 5 Феб! £te4 6 Ec5 £te3 7 Ha5+ ФЬ8 8 Eb5+ Фа7 9 Eb4 2>f5 10 Фс7 Фаб 11 Ee4 wins. 3) 2...ФабЗЕЬ6&а5+4Фс5+! Фа7 5 ФЬ5 £1Ь7 6 Eh8 is diagram 6. It is interesting to change the ini- tial position slightly by moving White’s rook along the second rank. When the rook is on c2 White can- not play Ec6+ followed by Феб be- cause the rook is blocking c6, while if the rook is on d2 White cannot even give a check on d6. Therefore White has no winning chances in these cases. WEe2: This position is a draw. After 1 Ee6+ Фа7! White cannot play 2 Феб because of 2...£kl8+. WEf2: White to play wins by 1 Ef6+! Фа7 2 Феб! 2kl8+ 3 Фd6! £lb7+ 4 Фс15! &а5 5 Фс5!, as in line 1c above. WEh2: The position is again a draw, because after 1 Eh6+ Фа7 2 Феб £k!8+! White cannot play 3 Фd6 on account of the check at f7. 1.3: Black’s knight is cut off We have already seen this motif in some of the above positions, but now we take a closer look. (10): Even though Black’s king is not trapped on the edge of the board, White can win because the knight
Rook v Knight 15 10 +/= Arab manuscript, 1257 11 +/= Arab manuscript, 1257 cannot regain contact with Black’s king. White to play wins by 1 Фдб and now: 1) 1...2>f4 2 Ed2 Фс8 (2...ФЬ6 3 Фе5 2>g6+ 4 *f6 &f4 5 *f5 2)h5 6 Bg2 wins) 3 Hf2 £kd3 4 Hf3 2>b2 5 Ec3+ *d8 6 Bc2 «М3 7 Bd2 £>el 8 Фсб+ Фс8 9 Be2 wins. 2) 1...ФЫ» 2 Bd4 ФЬ5 3 Bg4 ?)f8 4 Фе7 wins. 3) 1...2>h82Ef5£>g6 3Ef6£>h4 4 Ef4 2ig6 (4...£>g2 5 Ee4) 5 Bg4 and wins. 4) 1...2>h4 2 Ed3 ФЬб 3 Eb3+ Фа5 4 Фс5 Фаб 5 Феб Фа5 (5...Фа7 6 ВЬ7+ Фа8 7 Фс7) 6 Bg3 wins the knight. Black to play draws by 1...Фс7. If we move the knight to g4, then White still wins, although the pro- cess is more complicated: (11): 1 Фd6 and now: 1) 1...4)f6 2 Ed4 (this is faster than ECE's 2 Be5) and now: la) 2...£ih7 (2...£>h5 3 Фе5 and 2...$k8+ 3 Фd7! 2>f6+ 4 Фе7 are worse) 3 Ef4 £lg5 4 Фс15 Фс7 5 Ef5 £lh3 6 Фе4 Фd6 7 ФеЗ followed by Eh5. lb) 2...ФЫ» 3 Eb4+! Фаб 4 Ef4 £lh5 5 Eg4 £)f6 6 Bg6 (again this typical manoeuvre) 5)h5 7 Фе5+ and wins the knight. 1c) 2...Фс8 3 Фе7! 2)h5 4 Eg4 wins the knight immediately. 2) l...£ih6 2 Bb5+ Фаб (2...Фс8 3 Феб 2>g4 4 Bb2 Фс7 5 Eg2 ^еЗ 6 Ве2 wins after 6...£kll 7 Фе5 or 6...£)g4 7 Фf5 £lh6+ 8 Фg6) 3 Феб 2>g4 (3...2rf7 4 Bd5 2)h6 5 Ed4 Фа7 6 Фс7 wins) 4 Ef5 5^еЗ (4...Фа7 5 Ef4 ^e3 6 Ee4 2tf5 7 Фс7 Фаб 8 Be6+ and 9 Be5) 5 Bf2 Фа5 (5...Фа7 6 Ее2 £)f5 7 Фс7 as above) 6 Фс5! Фаб (6...Фа4 7 Bf4+) 7 Фd4 2>g4 8 Eg2 wins the knight. 3) l...£ih2 2 Ef5 (threatening Bf4) 2>g4 3 Bf3 ФЬб 4 Eg3 £tf2 5 Фd5 ФЬ5 6 Фd4 ФЬ4 7 Eg2 2)h3 8 ФеЗ wins the knight. 4) 1..АГ2 2 Ed4 ФЬб 3 Феб (not 3 Фе5? Фс5!, reaching a position of reciprocal zugzwang with White to move) Фс5 (3...£lh3 4 Фf5 £lgl 5
16 Secrets of Pawnless Endings Ee4 £rf3 6 si?f4 £k!2 7 Bd4! wins) 4 Фе5! 2>h3 5 Bd2 £>g5 6 Bf2 Фс4 7 Ef5 £>h3 8 Фе4 £lgl 9 ФеЗ and the knight cannot escape. 5) 1...2>e3 2 Bb5+ Фаб (2..Фс8 3 Феб Фс7 4 ЕЬЗ £kll 5 Фе5 wins) 3 Фс5 2>d5 (З...Фа7 4 ЕЬЗ 5 Ef3 and 3...2>f5 4 ЕЬЗ Ste7 5 Bb6+ Фа7 6 Веб £k8 7 Феб! ^Ьб 8 Ве4 £к8 9 Bel are also hopeless for Black) 4 Bb3 £>f4 (for 4...4ie7 see the last bracket) 5 Феб Фа5 6 ВеЗ £lg6 7 Веб £lf4 8 Ee5+ and 9 Ee4 wins. 6) 1...ФЫ» 2 Bd3 &f2 3 Bd4 ФЬ5 4 Фd5 (Black is in zugzwang) ФЬб (4...£lh3 5 Eh4 wins after 5...£lg5 6 Eh5, 5...£>f2 6 Фd4 or 5...2>gl 6 Eh2 2>f3 7 Eg2 2>el 8 Eb2+ Фа4 9 Фе4) 5 Фс4 Феб (5...2>h3 6 Bg4 2rf2 7 Eh4) 6 Eh4 Фd6 7 Фd4! Феб 8 ФеЗ! £kl 1+9 Фd2 and White traps the knight. Black to play draws by l...£rf6. The above analysis shows why the ending of В v £ is harder than one might expect. The winning proce- dure often involves apparently ran- dom tactical points which exploit the position of Black’s king, either by a fork, or by making a battery with White’s rook and king. Moving Black’s king one square can change the winning plan dramatically, be- cause the tactics are different. Here are a couple of examples in which White makes direct use of Black’s king position. (12): Black’s knight is far away from the king, but White’s own king is on the edge of the board. However, White can win the knight by force: 1 12 +/= Pevit, 1862 Pr., ‘London’ 1862 Ea2! (not 1 Фg6? £le3!, nor 1 Ba3? £ld2!, and the knight makes its way to safety) Фе7 (after 1 ...£lg3 2 Ea3 £lh5 3 Bf3+! followed by 4 Фg6 White wins the knight) 2 Ef2! £lg3 3 Bf3! £lhl (the knight has no choice) 4 Фg6 Феб 5 Фg5 Фе5 6 Фg4 Фе4 7 Efl and takes the knight. Black to play draws by l...£le3. 13 +/= Bondarenko, 1949 Trud
Rook v Knight 17 (13): In this position White can combine mating threats with trap- ping the knight. 1 Ф12 ФбЗ (Black’s reply is forced, or else White wins with a rook move attacking the knight and threatening mate) 2 ФГЗ (2 Ed4 also wins quite easily) ФИ4 (2...Ф112 3 Hd2+ i’gl 4 Eg2+ wins) 3 Ф44 (simpler than Bondarenko’s 3 Ed4+) ФбЗ (З...ФЬ5 4 Hd5+ *g6 5 Ed6+ wins after 5...Ф115 6 Нсб or 5...ФГ7 6 Наб) 4 Ebl Sk7 5 Фе5 Фg4 6 Eb7 and the knight cannot es- cape. Black to play draws by l..^g3, removing his king from the danger zone. In certain positions, White can only win by losing a tempo. Reti, 1929 Tidskrift for Schack (14): It is harder to win when White is to move: 1 Ф44! Ski3+ 2 Ф13! (threatening 3 Hg6, and not 2 Фе4? Ф<12! drawing) S)g5+ 3 ФеЗ! (now Black must weaken his posi- tion) Фс4 (after 3...SW7 4 Hf5 and 3...Ski3 4 Eg6 the knight is trapped, while З...Фс2 4 Eg6 Sif7 5 Фd4 ФЬЗ 6 Фd5 ФсЗ 7 Hg7 wins easily) 4 Фf4 Sih3+ 5 Фе4 S)g5+ (or else Hf5 wins) 6 Фе5 Ski3 (after other moves White wins by Hf5) 7 Hfl (not 7 Ef5? Sigi! drawing) Sig5 (or else ФГ5) 8 Ef5 Sih3 9 Фе4 Sigi 10 ФеЗ and wins. The following position makes use of Rdti’s analysis. Averbakh, 1948 (15): Averbakh made a number of contributions to the theory of E v Si. This is one of his most interesting positions. White wins by 1 ЕеЗ! and now: 1) l„.Sib2 2 Феб (Averbakh gave 2 Hc3?, but then 2...Ф46! 3 Фч16 ФГ5! 4 Фс15 ФГ4! 5 ФсИ 2kll! al- lows Black to reach a draw) Sic4 3 Ee4! Sia5+ (3...Sid2 4 He2) 4 Фс7 Sib3 5 Фd6 Ф^б 6 Ф<15! Фg5 (6...Фf5 7 ЕеЗ Sid2 8 Hd3! exploits Black’s bad king position) 7 Ee2 Ski 8 He3! Ф14 9 *d4! (this is a po- sition of reciprocal zugzwang) Sia2
18 Secrets of Pawnless Endings 10 Eel 2>b4 11 Ecl *f5 12 Ec4 £la6 13 Ф<15 and White rounds up the black knight. 2) I.jab42*d6&c2(2...*f6 3 Ec3 is Rdti’s position) 3 Be4 Ф16 (3...2>a3 4 Фс5) 4 Фс5 *f5 5 *d5, transposing to line 4 of diagram 11. 3) l.JZ)c5+2*d6!2fo7+3*c6 ^а5+ 4 i’d?! (threatening Ec3) £te4 5 Ef3+! i’gb 6 Феб! and now: 3a) 6...£k12 7 Ef4 *g5 8 Фе5! (once again this is reciprocal zug- zwang) £)b3 9 Bf2 £te5 10 Ed2 i’gb 11 Ed5 2>b3 12 Фе4 *f6 13 ФеЗ Феб 14 Eb5 and wins. 3b) 6...Фй5 7 Ed3 (this is one of those positions which is easier to win when Black is to move) Фg6 8 Bg3+ ФЬ5 9 Фd5 2>b6+ (9...£kl2 10 Ed3! 2>fl 11 Ef3! 2kl2 12 Ef2 2>b3 13 Eb2 traps the knight) 10 Фе5 £)c4+ (10...£ld7+ 11 Фf5! is winning for White after П...ФЬ4 12 ЕсЗ 2>b6 13 Bc6 £id5 14 Фе4 2>b4 15 Ec4 or Н...ФЬ6 12Eg6-^h7 13Ed6 2k5 14 Фе5 Фg7 15 Фd4 2>b3+ 16 Фс4) 11 Фf4 2kl6 12 Eg7 ФЬб 13 Ee7! £>c4 14 Ec7 £k!2 15 Eb7 Фg6 (or 15...£k4 16 Eb4) 16 Eb2 ?k4 17 Eb4 2>d2 18 ФеЗ 2>fl+ 19 ФТ2 and wins. Other positions involve a true re- ciprocal zugzwang. (16): Black to play loses after 1...Фе5 2 Фс2 followed by Ea4, while White to play can only draw because after 1 Ea4 (1 Eh4 Фс5) £tel+! 2 Фс2 ?1е2! 3 Фч13 £lcl+ (or 3...£>g3) White cannot avoid the rep- etition without allowing Black’s knight into the neighbourhood of his king. 16 =/- Amelung 1900 In 1936 Chekhover discovered the reciprocal zugzwang WФcЗ,Ed4 v ВФе5,£1Ь2, which is unusual in be- ing symmetrical about a diagonal. The position is straightforward and no analysis is necessary. This recip- rocal zugzwang is preserved if it is moved one or two squares to the right, or one or two squares up the board. 1.4: Practical examples In earlier times, even strong players did not seem to be aware that the knight should stay close to the king. (17): This is the drawing position of diagram 1. However, the game continued 1 £lh6! Eh7 2 £lg4? (2 £)g8! draws) Eh4 (Black could have won the knight immediately by 2...Eh3!) 3 21e3 Be4 4 2kll (4 £k2 Фf6 5 Фg8 Ee8+ 6 ФЬ7 Be7+ 7 Фg8 Eg7+ 8 ФЬ8 Фg6 wins) Ef4+ 5 Фg7 Ef3 6 Фg6 (6 £>Ь2 Фс15 7 Фg6 Фd4 8 Фg5 ЕаЗ 9 Фf4 Ea2 10 2>dl Ed2! wins) Фе5 7 Фg5 Фd4 8 Фg4
Rook v Knight 19 17 =/= Neumann - Steinitz Baden-Baden 1870 (8 £>Ь2 Ba3) Efl 9 2>b2 Ebl 10 &a4 Eb4 and wins. However, one should not laugh too much at such play, because mod- em players are quite capable of mak- ing similar mistakes. 18 -/ Holzl - Barbero Graz 1991 (18): We start at an earlier stage, in order not to miss some interesting play. 1 <S?f6 Фс5 2 g4 Eh4 (this doesn’t throw away the win, but it does make it more complicated; Black could have won easily by 2...ВЫ 3 g5 *d6 4 g6 Efl+! 5 *g7 Фе7 6 i>g8 Egl 7 g7 Bg2 8 ФЬ7 Ф(7) 3 g5 <4)d6? (but this move should have cost half a point; the winning line was 3...Bf4+! 4 Феб Bg4! 5 Ф16 Фd6 6 g6 Фd7! 7 ФТ7 Ef4+! 8 Фg8 Фе7 and wins as above) 4 g6! Bf4+ 5 Фg5! (this is why Black should have given the check on f4 earlier; now White doesn’t have to block the pawn with his king) Efl 6 g7! Фе7 7 g8£i+! Феб 8 £ih6 (White has a simple draw) Фе5 9 2>g4+ Фе4 10 2>f6+ Фd4 11 ^g4 Bf3 12 Фе5 13 2>g4+ Феб 14 2>h2Ef2 15 ^g4! Bf5+ 1бФЬ4Еа5 17 ФgЗ ФГ5 18 21еЗ+ Фе4 19 ^g4 (of course the position is still drawn, but after 19 £lg2 Black would not have been able to drive White’s king to the edge of the board) Bg5 20 ФЬ4 ф£4 21 2>f2 Bg2 22 2kl3+? (White makes the same error as in Neu- mann-Steinitz; 22 £lh3+! was the drawing move) Фе4 23 £te5+ (23 ФЬЗ would have offered greater re- sistance, when Black would have been forced to find either 23...Ee2 or 23...Egl in order to win) Фf5 24 £ki3 Л&2 (24...Bc2 is quicker) 25 2>c5 Be3 26 2>b7 Bd3 27 5)c5 Bd5 28 2>b3 Фе4 29 Фg4 ФеЗ 30 5)c 1 Фd2 0-l. The defender was only slightly more successful in the following ex- ample. He eventually gained the half-point, but only after allowing his opponent unnecessary chances to win.
20 Secrets of Pawnless Endings 19 /= Geller - A.Rodriguez Amsterdam II1987 (19): Black starts in a relatively unfavourable position, because his knight will soon have to retreat to the poor square g7. Nevertheless, the po- sition is drawn with accurate play. I...*f8! (not 1...2>g7? 2 *g6!) 2 Ed7 £lg7! (2...£>g3? 3 Ed4 *f7 4 <4)g4 £te2 5 Ec4! wins) 3 i’gb £>e8! 4 Ef7+ *g8 5 Ee7 *f8! 6 Ed7 *g8! 7 Ef7 2kl6! 8 Ef6 Ste8! (8...£k4? 9 Ee6 *f8 10 *f6! *g8 11 Ee8+ ФЬ7 12 Ee7+ *g8 13 Ed7 2>e3 14 *g6 ФГ8 15 Ed4 wins) 9 Efl (the options open to Black depend crucially on where White retreats his rook; how- ever, we saw in diagram 2 that the safest move is 9...£lc7, because this draws wherever White retreats his rook) 5)g7 (if White had played 9 Ef2, then Black would have been able to choose between 9.,.£te7 and 9...£)d6, but not 9...£lg7? losing to 10 Ф16, as in diagram 9; with the rook on fl Black must avoid 9...5)d6?, when 10 <S?f6! wins as in line 1 of diagram 8) 10 stfG £lh5+! (not 10...£>e8+? 11 Фе7 £lg7 and now 12 Eal would transpose to dia- gram 7, although 12 Eel is substan- tially faster; also not 10...i>f8? 11 Ef2) 11 <4)g5 (if White’s rook were on f2, then 11 stfS would win, as in the discussion after diagram 9) 5)g7! 12 <S?g6 £>e8! 13 Ef3 (this is die best winning chance) £lg7? (Black’s ob- session with playing the knight to g7 should have cost him the game, be- cause here 13...£k7! is the only draw- ing move; the players overlooked the win during the game, Amador Rodri- guez missed it in his Informator an- notations, and BCE overlooked it) 14 Ef2? (the chance disappears; after 14 stf6! £)h5+ 15 ФЙ! there is no knight fork on g3, so White wins as in diagram 9) 4Se8! 15 Efl £lg7 16 Фf6 2>h5+! 17 Фе7 Фg7 18 Egl+ ФЬб 19 Феб 2>g7+! 20 Фе5 2>h5 21 Eg8 2>g7 22 Фf6 2>h5+! 23 Фf7 2>f4 24 Eg4 2>h5 25 Eg6+ ФЬ7 26 Еаб £ig7 27 Фf6 2>e8+! 28 Фе7 fog! 29 Фf7 2>h5! 30 Ec6 2>g7? (Black makes the same mistake a second time; 30...£lg3! was correct) 31 Фf6! (this time White finds the correct response...) £>e8+ 32 Фf5? (...only to give the win away a move later; 32 Феб! was correct) Фg7! 33 Феб £rf6! (the danger has passed) 34 Ecl 2>h5 35 ФГ5 Фf8 Vz-Vz. Even World Champions can make mistakes in analysis: (20): White to play would win by 1 Eb7 2>c4 2 Eb3+! Фg2 3 Фс15, but in the game it was Black to move. 1 ... $k4 Karpov annotated this game in In- formator, and he claimed that Black
Rook v Knight 21 Karpov - Ftafnik Thessaloniki OL1988 missed a draw by l...£g3 2 Ec7 (or 2 Фе5 £k4+) Ф13, but in fact White can win after l...'4’g3,by 2Ec7! Ф(3 (2...£>a4 3 *d5 £Мэ2 4 Пс1! 2>a4 5 l4>d4 wins) 3 Hc3+! (a surprising winning move) Фе2 (З...Фе4 4 Есб! £1а8 5 4?d6 followed by Паб) 4 Псб! &a4 5 Пс4! ^Ь6 6 ПЬ4 ?к8 7 *d7 and the knight is trapped. 2 Hf3+! *g4 Or 2...4>g2 3 Ec3! 2>a5 4 *d5 £lb7 5 ПаЗ £k!8 6 Ha7 followed by Ed7. 3 Ed3! *g5 Black cannot touch the knight, for example 3...&a5 4 Фс15, 3...£lb6 4 ПЬЗ ?k8 5 Eb7 or 3...£>b2 4 Ed2!, so the king must move. 4 Фд5! ^b6+ The alternative is 4...£lb2 5 Ed4 Фf5 6 Феб! (not 6 Фс5? Фе5! with reciprocal zugzwang) Фе5 7 Фс5! (this is similar to line 4 of diagram 11) Феб 8 ФЬ4 Фf5 9 ФЬЗ! (not 9 ФеЗ? Фе5 - reciprocal zugzwang time again) Фе5 10 Hd8 and wins. 5 Фе5 4k4+ Once again Black has little choice, for example 5..^g4 6 Феб Фg5 7 Ed4 Фg6 8 Eb4, 5...2й4 6 ПЬЗ &c5 7 Eb5 2>аб 8 Фd6+ Ф« 9 Eb6 or 5...£te8 6 Феб £1Ь6 7 Hd4 winning just as after 5,.Ag4. 6 Фе4 Karpov could have won more quickly by 6 Феб, transposing to line 3b of diagram 15. 6 ... 2>b6 Black collapses. He could have offered more resistance by б...ФЛ>, with the continuation 7 Hd4! £la5 8 Ha4! 2>b7 9 Ea6+! Фg5 10 Фе5! £d8 (10...2>c5 11 Ea5 2>b3 12 Ed5 Фg4 13 Фе4 £tel 14 ФеЗ wins) 11 Ef6! (this is another reciprocal zug- zwang) £lb7 (11 ..Ф^4 12 Фс15 £lb7 13 Паб wins) 12 Ef8 (threatening Фс15) ?k5 (12...£>a5 13 Фс15 2>b3 14 Efl Фg4 15 Edl ФТ4 16 Фс4 &a5+ 17 ФЬ5 wins the knight) 13 Ed8 Фg4 14 Ed5 (this is also the re- ply to most other moves) £lb3 15 Фе4 £tel 16 ФеЗ and wins. It might not have been so easy for Karpov to find the five consecutive ‘only moves’ at the start of the line (especially as this last round game was played to a finish and it was already almost mid- night!). 7 Ed8 5k4 Now the end is close. White threatens 8 Фd4, and 7...&a4 loses after 8 Фd4 £>b6 9 Фс5 £la4+ 10 ФЬ4. 8 Ed4 2ib6 Or 8...£>b2 (8...2>a3 9 ФdЗ) 9 ФеЗ Фf5 10 Фd2 Фе5 11 Eb4 win- ning.
22 Secrets of Pawnless Endings The game concluded 9 Фе5 $)c8 10 Феб ^a7 11 *d7 1-0 21 =/= Pandavos - Delithanasis Greece 1991 (21): In the game White decided to liquidate the last pawns. It turns out that this is inadequate to win, but the position was almost certainly a draw in any case. 1 f3 grf3+ Not l...g3? 2 Eg4 2tf4+ 3 ФеЗ <2)115 (3...4Й5+ 4 Фd2 wins the pawn immediately) 4 Eg8 ФГ6 5 f4 (threat- ening Eg5) £)g7 6 ФГЗ Ф17 (or 6...<£>f5 7 Eg5 Феб 8 Фg4 g2 9 Eg6+ followed by 10 ФхГ5) 7 Eb8 £rf5 8 Фg4 g2 9 Ebl Фg6 10 Egl Ф16 11 ФГЗ £)h4+ 12 ФgЗ and White rounds up the pawn. However, l...£rf4+ is possible, transposing to the game after 2 ФеЗ £)g2+ 3 Ф12 gxf3 (but not 3...£rf4? 4 fxg4+ Фxg4 5 ФеЗ) 4 ФхГЗ. 2 ФхП Фе5! Not 2...£tel+? 3 ФТ2! 5к2 4 Ес4! 21аЗ 5 ЕеЗ! 2>Ы 6 Ed3!, when 7 Фе2 and 8 ЕЬЗ wins the knight. 3 Ec4 After 3 Be4+ Black has the choice between З...Ф<15 and З...ФГ5. Both moves lead to reciprocal zugzwang positions with White to move, and therefore both draw. з ... Фаз? Black has failed to understand that one must take care when reciprocal zugzwangs are nearby! He could have drawn by 3...£)el+! 4 Ф12 (4 Фе2 may be answered by 4...Ф<15 or 4...<£>g2) Фd5! (not 4...S)d3+? 5 ФеЗ!, when 5...£)b2 6 Ed4 is recip- rocal zugzwang number three, while 5...£)el 6 Ee4+ Фс15 7 Ed4+! Фс5 8 Ed2! Фс4 9 Be2! 4hd3 10 Ec2+! wins the knight) 5 Ec3 Фd4! and Black rescues his knight. 4 Ee4! 1-0 Now it is Black who has fallen into the zugzwang. 22 =/+ Geselschap - Claesen World Student Ch., Antwerp 1992 (22): White to play draws by 1 2k3+! Фd4 (1...Фе5 2 Фg4! Ef2 3 £kll! draws) 2 <5)e2+! ФеЗ 3 £)g3!
Rook v Knight 23 Ф13 4 Фg6, followed by £rf5. In the game Black was to move, and the game continued: 1 ... Bg7 This move maintains the win, but makes it considerably harder. The simplest solution was 1...Фе5 2 Фg4 (2 5k3 Bf3 3 2>e2 Hf2 4 2k3 Bc2 5 £lb5 Bc5 6 4ia3 Фd4+ 7 Фg4 ФсЗ) Bf4+ 3 ФgЗ (3 Фg5 Bc4 4 Фg6 Ec5 5 2>a3 Фd4 6 ФГ6 ФсЗ 7 Феб Ea5) Bb4 4 2>a7 (4 ?k7 Eb7) Фd6 and wins. 2 2>c3+ Undoubtedly the best defence. 2 ФЬб (2 ФЬ4 Фе5 wins as in the pre- vious note) Eg8 3 £lc3+ (3 £1c7+ Фе5 4 2>b5 Bb8 5 2кЗ ЕЬЗ 6 £te2 ЕеЗ wins easily) Фе5 4 ФЬ5 Eg2 5 ФЬ4 Ec2 and again we reach the pre- vious note. 2 ... Фе5? Throwing away the win. In the above lines we saw that e5 is a good square for the king, but here ...Фе5 is too slow. The winning variation runs 2..Фч14! 3 2>e2+ (3 2>b5+ Фе5 transposes into the note to Black’s first move) ФеЗ! 4 £te3 (4 ФЬб Eg2 5 2>c3 Фd4 6 2>b5+ Фе5 7 2k7 Eg8 8 £>Ь5 Eb8 9 &сЗ ЕЬЗ wins as above) Ea7! (a really tough move to find; 4...Bb7? 5 Фё6 and 4...Bd7? 5 Фg6 are draws) and now there are two possibilities: 1) 5 Фg6 Ba5! (this is the key square; the rook cuts off the knight, and at the same time is too far away to be harassed by White’s king) 6 2kll+ (6 Фf6 ФdЗ 7 2>dl Ba2) Фе2 7 2>b2 (7 2кЗ+ ФdЗ) Eb5 8 2й4 (8 £k4 ФdЗ) ФdЗ 9 Фf6 Фс4 wins. 2) 5 Фg4 Ed7! (now this square is correct; the reason is that the fifth rank is a danger zone for White’s king, because of the reply ...Ed3; if the king could cross the mined area then White would draw, but the re- treat to g4 has put his king on the wrong side of the fifth rank) 6 Фf5 (relatively best; 6 ФgЗ Ed3 7 £lb5 Фе4+ 8 ФТ2 Фс15 9 2>c7+ Фе5 10 Фе2 ЕаЗ followed by ...Ea7 wins) Ed3! 7 £la4 (b5 is out of bounds, and 7 £1а2 ЕЬЗ is simple) ЕаЗ! (the sixth ‘only move’ in a row) 8 £lb6 (8 £>Ь2 Фd4) Ba5+! 9 Фg4 Фе4! 10 2kl7 (White’s alternatives are 10 £1c8 Баб 11 Фё5 Веб! 12 Фg4 Фd4 13 ФГ5 Ф<15! with a familiar reciprocal zugzwang, or 10 £te4 Ba4 11 £>Ь6 Bd4 12 2>c8 Фе5+ 13 ФfЗ Феб 14 ФеЗ Eb4 and wins the knight) Bf5! (reciprocal zugzwang, and the ninth ‘only move’) 11 £lb6 (11 £lb8 Bf7 wins after 12 Bb7 or 12 £)a6 Фd4 13 £>b4 Bc7 14 ф£5 Bc4 15 2>a6 Фd5) Bf7 12 2k4 Bd7 13 ФgЗ Bd4 14 2>b6 Фе5 15 Ф13 Феб 16 ФеЗ Eb4 and the knight is finally trapped. 3 Gfe2? White returns the favour. He could have saved the game by 3 £kll! Ф44 (3...Bg2 4 21e3! or 3...Bg3 4 2>f2! ФГ4 5 ФЬ4!) 4 2rf2! ФfЗ 5 <2jd3! Be7 6 Фg6! (the situation is similar to that above; White must avoid the fifth rank because 6 Фg5? Be3! 7 £1Ь4 ЕЬЗ! is winning) Фе4 7 Фf6 Bc7 8 4ie5 draws. 3 ... Bg2! Of course; now the knight is rap- idly cornered.
24 Secrets of Pawnless endings The game ended 4 4)c3 Sc2 5 £a4 Фдб 6 2>Ьб Феб 7 ^c8 Se2 8 21a7+ ФЬ7 0-1. We take as our final over-the- board example one of the game endings from ECE which was incor- rectly analysed therein. 23 =/+ Gosh - Gipslis Calcutta 1979 (23): White to play draws by 1 Фgl! ФgЗ 2 5)el, so we take Black to move, as in the game. 1 ... Sh3+ The simplest line is l...Ed4 2 £le3+ (2 £lel Ee4 wins after 3 £>g2 Ee2 or 3 £k!3 ФfЗ 4 Фgl Sa4 trans- posing to diagram 4, while 2 Фgl ФТЗ! 3 £tel+ Фе2! 4 ^g2 Eg4 is al- ready over) ФТЗ! 3 £)f5 Bf4, trans- posing into line 2 of diagram 9. However, the move played is also good and has the merit of leading di- rectly into one of the standard ‘Arab manuscript’ wins. 2 Фgl ФП! 3 £>el+ Фе2! 4 2>g2 Sh6 Now we have transposed exactly into diagram 6. 5 2>f4+ ФП 6 ^d3 Eh4 This was the move played in the game. It is a significant inaccuracy and makes the win more compli- cated, but contrary to ECE it does not make the win impossible. 6...Ed6 is best, as in diagram 6. 7 2>e5+ The most resilient defence. 7 5)c5 (7 £tel+ Фе2! loses immediately) Sd4 8 ФЬ2 2d2+ 9 Фgl Ed5 10 ФgЗ 11 ФП Ef5+ wins more easily. 7 ... ФеЗ The most accurate continuation; after 7..^g3 8 £k!3 Black can only win by repeating the position with 8...Ф13!. 8 Фя2 Ee4! Otherwise White draws by ФgЗ and £>g4. 9 The game continuation. ECE gives 9 £ki7 Фf4 10 £lc5 as leading to a draw, but Black can win by 10...Ee2+ 11 ФП (or 11 ФЬЗ ФГ5 12 ФgЗ Ec2 13 £1а4 Фе4 14 £lb6 Ec7 15 Фg4 Eg7+ 16 ФЬ5 Фd4 winning) ФеЗ transposing to line 5 of diagram 11. The rest of the game was accurately played by both sides: 9...ФТ410 2>d6 Ed411 ^b5 Ed3 12 Фл7 Eb3 13 £k6 Фе4 14 5k7 ЕЬб 15 ФgЗ Ееб 16 2>с8 Ф<15 17 2>а7 Фс5 18 ФТ4 Ее8 19 ФТ5 Еа8 0-1 It is curious that in this example and in Karpov-Ftadnik, the endings were conducted fairly accurately by
Rook v knight 25 both players, but the notes errone- ously indicated poor play by the an- notator’s opponent. Our final practical example is correctly played, but the analysis in Batsford Chess Endings contained some inaccuracies. Welin - Benjamin Reykjavik Open 1986 (26): White may continue: 1) 1 Bb3 (the fastest win) and now: la) l...£ke4+ 2 Фс15 £>f6+ (after 2...£>f2 3 Bf3 2>g4 4 Bg3 2>f6+ 5 Феб! White wins by 5...ФЬ8 6 Eg6 &e4 7 Bg8+ Фа7 8 Eg7+ ФЬ8 9 Bb7+ Фс8 10 Be7 2>f6 11 Веб! or 5...£}e4 6 Bg7+ transposing to the last line, or finally 5...£lh5 6 Bf3 ФЬ8 7 Bf5 2>g3 8 Bb5+ Фа7 9 Bb7+ Фа8 10 ФЬб) 3 Феб 2>g4 4 Bg3 2>f6 (4...£le5+ 5 Фс15) 5 Bgl and wins just as in the line after 2...£rf2. lb) l.JZ)e2 2 ВеЗ 2if4 3 Be7+ ФЬ8 (З...Фаб 4 Феб Фа5 5 Ве5+) 4 Феб £kd3 5 ФЬб Фс8 6 Ве4 2>f2 7 Bd4 £>h3 8 Феб ФЬ8 9 ВЬ4+ Фа7 10 ЕЬ7+ Фа8 11 ФЬб followed by mate. 1с) 1...&а4+ 2 ФЬ5! 2>b6 3 Bf3 ?к8 (3...2>d5 4 Фс5 ?к7 5 Bf7 ФЬ8 6 Ее7 wins) 4 Феб! 4ie7+ 5 Фd6 £lg6 6 Bf6 4ih4 7 Фс7 wins. 2) 1 Eb4 (the move played in the game, which is the only other move to preserve the win) Фаб (l...£kll 2 Феб 2*3 3 Be4 2>f5 4 Фс7 Фаб 5 Ееб+ wins) 2 Ec4! £le2 (2...£kll 3 Ba4+ ФЬ7 4 Фd4 2>f2 5 ФеЗ 2kll+ 6 Фd2 £rf2 7 Eh4 traps the knight) 3 Ea4+ ФЬ7 and now: 2a) 4 Ba3 2>f4 5 ВеЗ? (BCE gives this as an alternative win, but it allows Black to escape; the win can be preserved only by 5 Фd6! ФЬб and now 6 Bc3, while not the fastest win, does transpose into line 3 of diagram 15) Фс7! (the only move) 6 Be7+ Фd8! (6...Фс8 7 Фч16 wins) 7 Фd6 and now instead of BCE’s 7...Фс8?, Black can draw by 7...£>g6! 8 Ef7 (8 Bg7 £lf8!) Фе8! when the knight and king become connected. 2b) 4 Be4 (the move played in the game is the most accurate) £>g3 (the line 4...£k3 5 ВеЗ 2>dl 6 Bf3 Фаб 7 Фс4 is hopeless) 5 Bg4 £lf5 (5...4ie2 6 Фс4 and 5...2>h5 6 Фd6 £rf6 7 Bf4 £lh5 8 Bf3 are also lost) 6 Bg5 £lh4 (6...21e3 7 Фd4) 7 Фс15 <£»f3 8 Bg2 2>h4 9 Bg7+ Фс8 10 Фе4 Фd8 11 Bg4 1-0. Apart from a minor inaccuracy at move one, Welin conducted the end- game flawlessly. So much for over-the-board play- ers. How about the study compos- ers? Surprisingly, several of them have tripped up on this apparently
26 Secrets of Pawnless Endings simple ending, including some fa- mous names. 3) 7 2>g4 Ed7 8 *f8 Ef7+ 9 *g8 Ef4 and wins as in line 2. 25 /+ Comay, 1981 (end of study) 3rd Comm., Israel Ring Tny. 26 Rinck, 1952 1414 Fins de Partie (25): This is the end of a White to play and draw study. Black is to move, and the composer’s analysis continued 1...Фе7 2 g8£l+ Феб 3 £lxh6 Ea7 4 Фg8 Фf6 5 £lg4+; here he stopped. However, 3...Ea7 is inaccurate. Black has a simple win by 3...Ed7 4 Фg8 (4 2>g8 Ф45) Фf6! 5 2>g4+ Ф?5 6 ^e3+ (6 ^h2 ФГ4 or 6 2rf2 Ed2) Фg6 7 ФчГ8 Ed4 8 £lg2 Ee4 winning the knight. The second point is that the com- poser’s final position is still winning for Black. After 5 £lg4+, Black may play 5...Фf5 6 £ie3+ Феб and now: 1) 7 2>g2 Ea4 8 2>e3 Be4 9 2kll Фе5 10 £^f2 Bd4 11 Фg7 ФГ5 12 Ф(7 Ed2 wins. 2) 7Фf8Ec7 8 2>g4Ef7+9Фg8 Ef4 10 21e3 (10 2>h6 Фf6! 11 2>f7 Ed4) Фе5 11 Фg7 Фd4 12 ?k2+ ФdЗ traps the knight. (26): Rinck was one of the most careful analysts amongst study com- posers, but even he was capable of making a mistake in a E v $5 ending. The analysis runs 1 JLb5+ ФхЬ5 2 03сТ+ Фс5 3 £1хе8 Фd4 and now there are three lines: 1) 4 2>g7 Ea5 5 ФТ2 (5 21e6+ Фе5 6 2>g5 Фf4! 7 2>e6+ ФgЗ 8 ФЛ Bf5+ 9 Фgl Be5) Фе4! 6 21e6 Ee5 7 2k7 Фd4 8 ФfЗ Фс4 9 Фf4 Be7 wins. 2) 4 £<16 Ea5 5 Фg2 Ed5 6 2>f7 Фе4! 7 ФgЗ Фf5! 8 ФfЗ (8 2)h6+ Фg5! 9 2>f7+ Фg6) Ed3+! 9 ФТ2 Ed7 wins. 3)4 £>f6 (Rinck claimed that this move leads to a draw) Ea6! 5 £lh5 and now: За) 5..Ла5 (Rinck did not con- sider this move, but it is the simplest win) 6 2>g3 (6 2>f6 Ef5 7 2kl7 Ef7 is hopeless, while 6 £>f4 Фе4 7 £lg2
Rook v Knight 27 Ф13! 8 £tel+ Фе2! 9 £lg2 Ba4 wins as in diagram 7) ФеЗ! 7 £rfl+ (7 Фg2 Bg5! transposes to the main line) Фе2! 8 Фg2 Eg5+! 9 £lg3+ ФеЗ! 10ФЬ2 (ЮФЬЗ ФВ)ФГЗ 11 £lfl Ф£2 wins. 3b) 5...ФеЗ (Rinck’s move pre- serves the win, but is slower) 6 Фg2 (6 £lg3 Bg6 wins at once) Ba5! (Rinck only gave 6...Bh6?, and after 7 £lg3! Bg6 8 ФЬЗ! ФТЗ White has the h5-square available and can draw by 9 £ih5!) 7 2>f6 (7 £ig3 Eg5! wins as in line 3a, precisely because the rook controls h5) ФГ4! 8 ФЬЗ Ef5 9 2>d7 Ef7 10 ?k5 (10 2>b6 Фе4 11 £lc4 Фd4 12 £k!6 Bf6 wins after 13 £1е8 Ee6 14 £lg7 Eh6+, or 13 £lb5+ Фс5 14 &c7 Феб) ФГЗ 11 ФЬ4 (11 ФЬ2 Ее7 12 2к13 ЕеЗ 13 ^с5 Ве2+ 14 Фgl Bd2 15 ^еб ФgЗ 16 ФП Bd5) Ве7 12 2к13 ФеЗ 13 ?к5 Фd4 14 ^Ь3+ ФеЗ 15 £1с5 Фс4 and the knight is cornered. Kasparian was another famous name to fall victim to the intricacies ofBv£. (27): After some introductory moves, Kasparian reaches the above position. White has to move his rook, but where? Kasparian gives the solution 1 Eg8 Фха7 2 Eg6 £k!2+ (2...£tf2 3 Фd4 and 2...ФЬ7 3 Фd4! &d2 4 Bg3 Феб 5 Bd3 2rfl 6 Фе4 are hopeless) 3 ФеЗ £rf3 (3...&Ы+ 4 Фd4 2>a3 5 Фс5 2>bl 6 Eg3 2kl2 7 Фd4) 4 Bf6 ^>g5 5 Фd4 ФЬ7 6 ФеЗ Фс7 7 ФТ4 and wins. This is indeed winning, but 1 Ed8,1 Ef8 and 1 Eh8 also win. One of the quickest wins runs 1 Eh8 Фха7 2 Ф<15 £1сЗ+ (the alternative lines 2...^g5 3 Bh5 £rf3 27 Kasparian, 1935 (end of study) ‘64’ 4 Фе4 2kl2+ 5 ФdЗ ^b3 6 Eb5, 2,..£>g3 3 Eh2 ФЬб 4 Фе5 2>fl 5 Bb2+ Фс5 6 ФГ4 and 7 Ec2,2...£rf2 3 Фd4 2>g4 4 Bg8 £if6 5 Bg7+ ФЬ8 6 Фе5 and 2...£kl2 3 Bh2 2>f3 4 Ef2 £lg5 5 Bf5 are even worse) 3 Феб £te2 (3...2Ы 4 Eh7+ ФЬ8 5 Bb7+ Фа8 6 Be7 2k3 7 ЕеЗ ?kll 8 Bd3 wins) 4 Bh4 £te3 5 Bd4 £le2 (or 5...ФЬ8 6 ФЬб) 6 Bc4 2>g3 7 Ba4+ ФЬ8 8 ВЬ4+ Фа7 9 ВЬ7+ Фа8 10 ФЬб leading to mate. Here are a couple of first prize winning studies which are demol- ished by a mistake in a В v end- ing. (28): Gasparian’s ‘White to play and win’ study eventually reduces to this position. He gave 1 Bc3 Фg5 2 ФГЗ 2>a4 3 Bc6 Фf5 4 Bc4! ^b2 5 Ed4! as winning for White, but the position is drawn. Black should play the obvious 2...Фf5!, when 3 ФеЗ is impossible, while 3 Фе2 Фе5 (but not З...Фе4? 4 Bc2! winning) 4 Bc2 £la4! 5 Bc4 £lb6! and 3 Bc5+ Феб!
28 Secrets of Pawnless Endings Gasparian, 1990 (end of study) 1st Pr., Bulletin of Central Chess Club USSR 4 ФеЗ Ф<16 5 Ec8 Ф<15 are comfort- able draws. 29 +/ Pogosiants and Tolstoi, 1974 (end of study) 1st Pr., Pionyrske Noviny (29): The composers gave 1 £lxb2 £te3 2 Фс5 Фа2 3 Eel 2k2 4 Ee2 ФхЬ2 5 Фс4 ФЫ 6 ФеЗ 2>аЗ 7 ФЬЗ as the winning line, analysing 1 Exb2+ to a draw as follows: 1 ...Фха4 2Ee2ФЬЗ! 3 ФебФеЗ! 4Фf5Ф<13. However, White can win by 2 Фс15 (the position is very similar to dia- gram 22) and now: 1) 2...£>f6+ 3 Фс4 (3 Фе5 trans- poses to diagram 22, but is much slower) ФаЗ (З...Фа5 4 Bd2 4ie4 5 Ed4 2>f2 6 ФеЗ ФЬ5 7 Фd2 Фс5 8 Ef4 £ih3 9 Ef3) 4 Eb6 5 Ееб 2>g5 6 ЕеЗ+ ФЬ2 7 Фс15 Фс2 8 Bg3 wins. 2) 2...£3e3+ 3 Фс5 ФаЗ 4 Ed2! 2>f5 (4...2>g4 5 Bd4 2>f2 6 Фс4 wins) 5 Eg2 Фа4 6 Bg4+ ФЬЗ (or 6...Фа5 7 Eg5) 7 Eg5 £h4 8 Фс15 ФеЗ 9 Bg3+ Фd2 10 Фе4! Фе2 11 Eg4! and wins. 3) 2...ФаЗ 3 Ee2 ФЬЗ 4 Фd4! ФЬ4 5 Eg2 2>f6 6 Eg7 2>h5 7 Eg6 £rf4 8 Bg4 (once again we see this characteristic manoeuvre) £)h3 9 ФеЗ+ picks up the knight. 4) 2...Фа5 3 Фd4 2>f6 4 Bb7! Фа4 5 Bf7 £lg4 6 Bf4 and wins in the usual manner. Having given so many examples of poor play and analysis in this end- ing, readers may be wondering just how hard a В v & position can be. Posed this way, the question is en- tirely subjective, but it is possible to ask quantitative questions which shed light on this subject. One such question is to ask how many consec- utive ‘only moves’ the superior side may need to find in order to win a po- sition. This question was investi- gated by Bernhard Walter, and he discovered that the maximum num- ber is 11. However, his definition of ‘only move’ was not the same as that given in the introduction to this
Rook v Knight 29 book. Walter did not permit any White alternatives, even ones that lead only to repetitions. Therefore, the answer with our definition is still not known. 30 Walter, 1989 (30): Black to play draws easily by l...£le3, so we suppose that White is to play. 1 i’dS! (preventing ...£le3) and now: 1) 1...2>g3 (1...2kl6 2 Eb6 loses more quickly) 2 ЕаЗ! (a tricky move; Black is not threatening 2...£rfl, be- cause of the reply 3 Фе2!, but if White moves his rook up the b-file, then Black can draw with 2...£)fl 3 Фе2 2>g3+) 2>f5 (2...£>fl 3 Eal+) 3 Ea7 2kl6 4 Ec7+ ФЬ2 (4...*dl 5 Ed7) 5 Ed7 2>f5 6 Фе4 and White wins. 2) l...£)h4 2 Фе2! (White must prevent 2...£rf3, but 2 Фе4? £lg2! followed by ...£)el draws) £)g6 (af- ter 2.. .Фс2 3 Eb6 £lf5 4 Ec6+ ФЬЗ 5 ФdЗ! ФЬ4 6 Веб we reach one of those positions in which White to play can only win by losing a tempo; here Black is to play, so White wins more easily after 6...ФЬЗ 7 Bb6+ Фа4 8 Фе4 £ig3+ 9 Фd4 2>f5+ 10 Фс5 £te3 11 Bb2 and so on, as we have seen before) 3 ФеЗ! Фс2 (3...$ie5 4 Eb4! Фс2 5 Ee4! 2>f7 6 Ф^4 £lg5 7 Ee7 Фd2 8 Ee3! with a familiar position of reciprocal zug- zwang - see line 3a of diagram 15) 4 Eb5! (not 4 Eb4? ФсЗ! nor 4 Eb6? 21e5!) ФсЗ 5 Фе4! 2>f8 (5...Фс4 6 Eb7 Фс5 7 Ef7) 6 Ed5! (another hard move; 6 Eb6? £kl7! and 6 Eb7? £te6! are only draws) 5^e6 7 Ee5! £k!8 8 Ee8! 2>b7 9 Ec8+! Фd2 10 Фd4! &a5 11 Ec3! and White ar- rives at the familiar reciprocal zug- zwang, but only after 11 consecutive unique moves. There are 18 reciprocal zugzwangs in the ending of E v £1. They fall nat- urally into four families. In the first family, the pieces are arranged in a line: zzl: WФcЗ,Ed4 v ВФе5,£>Ь2 zz2: WФdЗ,Ee4 v ВФ?5,?к2 zz3: WФd4,Ee5 v ВФ1'6,€кЗ zz4: WФc5,Ed6 v ВФе7,£Л>4 zz5: WФd5,Ee6 v ВФГ7,^с4 In the second family, the pieces form a ‘V’-formation: zz6: WФcЗ,Ed4 v ВФс5,^Ь2 zz7: WФc4,Ed5 v ВФс6,£1ЬЗ zz8: WФc5,Ed6 v ВФс7,2>Ь4 The third family consists of posi- tions in which the pieces assume the shape of a ‘y’: zz9: WФc4,EdЗ v ВФе4,2>Ы zzlO: WФd4,EeЗ v BФf4,2>cl rail: WФe4,EfЗ v BФg4,‘5)dl zzl2: WФc5Дd4 v ВФе5,£)Ь2 ral3: WФd5,Ee4 v ВФГ5,€к2
30 Secrets of Pawnless Endings zzl4: W’4)e5,Hf4 v B’4)g5,‘5kl2 zzlS: W'4’f5,Hg4 v ВФЬ5,21е2 Finally, there are three more posi- tions in which Black’s king is on the edge of the board: zzl6: W’4)d6,Ec6 v B’4)d8,^a8 zzl7: V/Феб,Ed6 v ВФе8,2Ь8 zzl8: У/ФГ6,Ее6 v ВФ1'8,2к8 These positions are sufficiently straightforward that we do not have to give detailed explanations. In any case, many of them have arisen in the course of earlier analysis, for exam- ple in diagrams 11,15,16,20 and 21. We conclude with the longest win in the ending of E v 2k There are two positions which require 27 moves in order to capture the knight or deliver mate. One of them is Фdl,Ehl v ФЫ,2^4, with White to play (1 Eh4!). The other is given in the fol- lowing diagram: (31): The main line runs 1 Фd2! (1 Фс2? ФЬ4!) 2>d4 2 ФеЗ! 2>b5+ (2...2xs2+ 3 ФdЗ) 3 Фс4! 2x16+ 4 Фс5! (4 Фс15 2b5 loses time, be- cause White has to reply 5 Фс4 in or- der to preserve the win) 2b7+ (4...2>e4+ 5 Фd4! 2>d2 6 ФеЗ! 2>e4+ 7 ФdЗ! 2k5+ 8 Фс4! 21e4 9 31 +/ Ed8 wins, although the position is still not straightforward) 5 ФЬб! 2>d6 6 Hf4! ФЬЗ 7 Фс5! 2>b7+ 8 Феб! 2x18+ 9 ФЬ5! 2й6 10 Ef3+! Фс2 11 Фс4! Фd2 12 Ef5! Фс2 13 Bf2+ Фdl 14 ФdЗ 2к5+ 15 Фd4! 2>ЬЗ+ 1бФсЗ! Фе1 17ЕЬ2!2к518 Фd4! 21е6+ 19 ФеЗ ФП 20 ЕЬ6 2х:7 21 Фе4 Ф£2 22 ЕЬ2+ ФgЗ 23 Фе5 *f3 24 ЕЬ7 2>а8 25 Фd6 Фе4 26 Eb8 and captures the knight on move 27. This sequence includes 12 con- secutive ‘only moves’, according to the definition given in the introduc- tion.
2 Rook v Bishop This ending is generally drawn; indeed, there are even fewer winning chances than in the endgame of rook v knight. Whereas a knight can easily become disconnected from the king, the same fate cannot readily befall the long-range bishop. White only has winning chances against a bishop when the defender’s king is badly placed. It turns out that if the defender’s king is in a comer of the opposite colour to the bishop, then the position is normally drawn. However, if the defender’s king is trapped in or near to one of the other two comers, then the side with the rook has winning chances. Although it might seem that these few winning prospects do not deserve a detailed treatment, players should bear in mind that such positions often arise from endings of rook and pawn against bishop. Often the only way to make progress is to sacrifice the pawn, and then it is essential to be able to evaluate the ensuing rook v bishop positions. We will divide this chapter into four sections. 2.1: Black’s king is in the centre 31 2.2: Black’s king is in a good comer 32 2.3: Black’s king is in a bad comer 37 2.4: Black’s king is on the edge of the board 43 The first section is just a curiosity; when Black’s king is in the centre, it is possible for his bishop to be trapped, but it is hardly likely to occur in practice. The word ‘good’ in the title of the second section is taken from Black’s point of view; in other words this refers to the situation in which, for example, the king is on h8 and Black has a light-squared bishop. White can win only if the bishop starts off in an unfavourable position. The third section has the greatest practical importance, and there are several tricky positions. Finally, the last section covers the most complex positions, in which White seeks to herd Black’s king into the ‘bad’ comer. 2.1: Black’s king is in the centre In this case White can only win in the most exceptional circumstances. (32): The composer gave 1 Sa3 trapping the bishop, but in fact 1 Sh3 is equally effective because l...JLa5 loses to 2 Hh4+ followed by 3 Hh5+. Some other examples are equally straightforward: (33): After 1 *d4! JLa2 2 Eb2! JLd5 3 Hb6+! White picks up the bishop. A very similar position was pub- lished by Richter in 1931. His ver- sion was W'4’g4,Hb7 v B'4’d4,JLf6
32 Secrets of Pawnless Endings 32 +/= Bent, 1951 (end of study) British Chess Magazine +/= Herlin, 1861 London with the winning line 1 ФГ5! Ah8 2 Hh7! Ae5 3 Ed7+!. 2.2: Black’s king is in a good corner If Black’s king is in a comer which is the opposite colour to his bishop, then the position is generally drawn. 34 (34): This is the typical drawing position. It makes no difference who moves first. Even in this favourable situation White has no winning chances. The problem is that after 1 Bb8+ Ag8 White has to lift the stale- mate, and this means freeing either the bishop or the king. Nor does it help for White to try improving his king position; e.g., 1 Фg6 Ac4 2 Bb8+ (2 Bh7+ *g8 3 Bc7 Ad3+ draws) Ag8 3 si?f6 ФИ7 4 Bb7+ ФЬ8! (but not 4...ФЬ6? 5 Bb2 ФЬ5 6 Sh2+! and Black loses his bishop) 5 Bb4 Ah7 and White is not making progress. However, it is often impor- tant that Black has a bishop check, so 1 Фg6 Ae6? is a mistake, as 2 Bh7+! Фg8 3 Se7 leaves Black without a saving check on the bl-g6 diagonal, and this costs his bishop. Otherwise Black can hardly go wrong. It follows that if Black’s bishop is well posted and ready to interpose in response to a rook check, then White cannot win. If the bishop is initially poorly placed, then White can some- times win.
rook v Bishop 33 The following diagram is the fun- damental position for understanding such endings: Original (35): Black to play draws only if his bishop stands on one of the maiked (dark) squares. On every other dark square he loses. In all the drawing positions Black has the same unique drawing move, namely 1...ФЬ8!. The first point to make is that Black cannot leave his king on c8, because then White starts attacking the bishop with his rook, and in most cases White wins within a few moves by both attacking the bishop and threatening mate. Suppose, for example, that the bishop starts on h4 (with Black’s king on c8). Then White wins by 1 Ed4 (1 Eh5 also wins, but more slowly) JLf6 (l...JLe7 2 Sg4) 2 Ef4 JLe7 3 Eg4! and Black loses his bishop. However, there are some more complex cases, for exam- ple, if the bishop starts on c3 (with ВФс8), then White wins by 1 Ed3 and now: 1) l..JLb4 2 Eb3 (while the bishop is on the b-, c- and d-files, White cannot attack the bishop and threaten mate at the same time, so his first job is to dislodge the bishop from this safe area) JLd2 3 Sb2 JLc3 (3... JLc 1 4 Ec2 is similar) 4 Ec2 (this tactic is typical for E v JL endings in general; because of the discovered check, Black’s bishop cannot move to b4 or d4, and so must abandon the safe zone) and wins after 4...JLa5 5 Ea2 JLc7 6 Ea8+ JLb8 7 ФЬб or 4..JLf6 5 Sf2! ±e7 6 Eg2. 2) l...JLb2 2 Ed2 approaches the same position from the other side; both 2...JLcl 3 Ec2 and 2...JLc3 3 Ec2 transpose to line 1. Other squares tend to lead to the same variations, for example if the bishop starts on f6 (with ВФс8), then White plays 1 Ed6 (1 Ef5 also wins) JLal (1...ДсЗ 2 Ed3 as above, while l...JLe7 2 Eg6 wins at once) 2 Edl JLc3 3 Ed3 just as before. It follows that the apparent safety of the b-, c- and d-files is an illusion; Black cannot maintain his bishop in the safe area and so White always wins when Black’s king is on c8 and it is White to move. This explains why Black to play must start his defence with the move 1 ...ФЬ8. Whether White can win de- pends on the presence or absence of a tactical manoeuvre which leads to the forced win of the bishop; in other words the default situation is a draw, but if the bishop is badly placed Black loses. Therefore, we have to explain why Black loses after 1 ...ФЬ8 for each dark square which is not
34 Secrets of Pawnless Endings marked in the above diagram. The most trivial cases occur when Black’s bishop is under attack in the dia- gram, thereby automatically exclud- ing the 1...ФЬ8 defence. Several other squares lose to an immediate fork, leaving just five squares to be analysed, namely c7, e7, g7, a3 and al. With the bishop on c7, 1...ФЬ8 loses to 2 Eb5+! Фс8 3 Bg5, while with the bishop on e7 White wins by 1...ФЬ8 (l...JLf6 is analysed above) 2 Eb5+! Фс8 (2...Фа8 3 Фс7) 3 Eb7 JLf8 4 Ef7 JLb4 5 Ef4 i.e7 (5...±a3 6 Ea4) 6 Eg4!. The other cases are easy; the bishop on g7 loses after 1...ФЬ8 2 Ed8+, while a3 and al fail to 1...ФЬ8 2 Eb5+ and 3 Ea5. Finally, we take the example of the bishop on f6 to show how Black defends when his bishop is on one of the drawing squares. Black plays 1 ...ФЬ8 2 Eb5+ (2 Bf5 JLh4 is harm- less) Фа7 (or 2...Фа8, but not 2...Фс8? 3 Ef5! i.e7 4 Ea5! ФЬ8 5 Eb5+! transposing to the analysis given above with the bishop on e7) 3 Фс7 JLc3! 4 Ec5 JLel and Black de- fends. It is worth mentioning that the squares e5 and g5 are, in a sense, also drawing squares for Black’s bishop. They do not appear in the above dia- gram because of the coincidence that White’s rook happens to occupy the fifth rank, but if the rook starts on an- other square, such as d3, then e5 and g5 become drawing squares (and by the same token c3, e3 and g3 become losing squares). Using the results from this dia- gram, we can solve most positions with the black king in the good cor- ner. 36 +/= Dehler, 1909 Berliner Lokal-Anzeiger (36): If White moves his rook along the seventh rank, then Black can draw provided he can play l...JLd6, ready to meet a back-rank rook check by ...Jlb8. Therefore, White must start with 1 Ed7! ФЬ8 2 ФЬб! (2 Bd3? JLc5 is an easy draw) Фс8 3 Bd5 (the composer gave 3 Ed3, which is also effective albeit slightly slower) and now White wins because Black needs to be able to meet Феб by ...ФЬ8 (or else White can threaten mate with his rook and attack the bishop), but a quick check of the marked squares in diagram 35 shows that Black cannot reach any of them in one move from a3, so he loses. One line runs 3...JLb4 4 Феб! i.c3 (4...±e7 5 Ba5 ФЬ8 6 Eb5+! is a familiar win from diagram 35) 5 Ed3 winning as above. Black to play draws by l...JLd6, amongst other moves.
Rook v Bishop 35 The following position is closely related to those given above. 37 Maestre, 1939 (37): White has two winning methods. The first is 1 Bd8+ Фа7 2 Sd7+! ФЬ8 (2...Фаб 3 Sd3 ±e7 4 ДеЗ Ab4 5 Пе2! is a winning line which we saw earlier) 3 ФЬб Фс8 4 Bd5, transposing to the previous dia- gram. However, White can win more quickly by 1 Пе4! JLcl (every other move loses the bishop at once) 2 ФЬб! Фс8 3 Hc4+! picking up the bishop. Black to play can draw by l...Acl and then he can transfer his bishop to the drawing zone of dia- gram 35, because 2 ®b6 fails after 2...Ae3. One further example should con- vince readers of the importance of diagrams 35 and 36. (38): White can transpose into di- agram 36 by force, and this is the only way to win: 1 He8+! (1 Фg6? Ad7! defends) Фg7 2 Se7+! ФТ8 (2..^g8 3 Фg6! transposes to the main line) 3 Йб (3 ПеЗ JLd7 4 ФТ6 Molien, 1895 also wins; both lines embody the same basic plan) Фg8 (as explained in diagram 35, Black cannot leave his king on f8) 4 Фg6! ФТ8 5 He5 with an exact transposition. Black to play draws by l...Afl, heading for the safe area. The following position appears similar, but introduces a small fi- nesse. 39 +/= Olmutsky, 1963 Radiansky Sport
36 Secrets of Pawnless Endings (39): Once again we need to con- sult diagram 35 to solve the position. Black’s bishop is in range of the drawing square h6 (and with Black to play l...Ah6 does draw), but can- not reach any other drawing square in one move. Therefore White should play 1 Eh4! (after 1 Ee4? or 1 Eg4?, the reply 1... Ah6! is the only draw- ing move, but after 1 Bf4? Black can play either l...JLh6 or l...Ae7, be- cause the position of White’s rook means that the latter cannot be met by a check on the b-file) JLg7 (after l...JLa3 2 Shi the bishop is trapped immediately) 2 Sb4+! Фа8 (2...Фс8 3 Bg4) 3 Be4 JLf6 (3...±c3 4 ФЬб! also wins for White) 4 Фс7! and the bishop is lo&. The following position shows how a knowledge of В v JL can help with the common practical ending of B+A v JL, even though this particular example is composed rather than taken from a game. (40): First of all. Black to play can draw by l...JLa3+ 2 Феб JLcl! and now Black’s bishop is in the safety zone of diagram 35 (the position is reflected, so the cl-square here is equivalent to the h6-square in dia- gram 35), and White cannot win, for example 3 Be8 Фха7 4 Be7+ Фа8! (not 4...ФЬ8? 5 ФЬб!, nor 4...Фаб? 5 Sei! JLb2 6 Se2 winning in both cases) 5 ФЬб Af4!, or 3 Ef8 Фха7 4 Zf7+ ФЬ8 5 ФЬб ЛеЗ+. However, White to play can use the extra tempo to good effect: 1 Sb8! (1 Sd8? Фха7 2 Феб JLcl draws) JLa3+ 2 Феб! Фха7 3 Ebl! JLf8 (forced) 4 Ehl! Jlb4 (the bishop is totally dominated) 5 Eal+! ФЬ8 6 Ebl! nets the bishop. It is surprising that White can only win by transfer- ring his rook from a8 to hl! The final group of positions deals with some miscellaneous tactical points. Isenegger, 1950 (version) Basel Landschaftl. Zeitung 41 +/= Mikhailov, 1951 Ceskoslovensky Sach
Rook v Bishop 37 (41): This might appear to be an- other position derived from diagram 35, but in fact it depends on a tactical point which we have not seen so far. Black to play draws by l...’£’g3, so we take White to move. The obvious 1 Eb2? is a mistake, because after 1...ФЫ! 2 *f2 JLf4 3 ЕЫ+ Ф112 4 Eb4 JLg3+ Black has no problems. The winning continuation runs 1 ФГ2! ФЬЗ 2 Фе2! (a very surprising move; Black’s bishop cannot move to f4 because White’s king occupies f3 with gain of tempo; 2 s2?f3? ФЬ4! only draws) JLcl (2...Jlf4 3 Ф13! loses, so this is forced) 3 Bbl! (now Black’s bishop really is forced to oc- cupy a bad square) JLg5 (this blocks the king, but 3...JLf4 4 stf3! JLg3 5 Ehl+ Jlh2 6 ФТ2 was no better) 4 ФТЗ1 ФЬ2 (now we have arrived in a familiar situation) 5 Eb2+! ФЬЗ (or 5...ФЫ 6 ФgЗ) 6 Eb7 and Black loses his bishop. This is one of the most attractive E v JL positions ever discovered; White’s first five moves are all absolutely unique and by no means easy to find. (42): In this example White has to defend accurately to hold the draw. The threat of immediate mate forces the first move 1 JLc8! and, perhaps surprisingly. Black cannot make progress. If the rook leaves the sixth rank then 2 JLe6 draws, while a rook move along the rank allows 2 JLf5+. The variation l...Efl+ 2 Фа2 Bf8 3 JLb7! XLf4 (or else JLe4+) 4 JLc6! is totally safe, and this only leaves 1...ФЬЗ which is met by 2 JLh3! and the position has simply been re- flected. Kovalenko, 1976 (end of study) Comm., Bulletin Central Chess Club USSR 2.3: Black’s king is in a bad corner In this case White’s winning chances are greatly improved. The fundamen- tal winning position is the following: (43): The position of Black’s bishop is completely irrelevant; it can be on any light square on the
38 Secrets of Pawnless Endings board, with either side to move, and White wins regardless. We take the bishop on b3 with White to play be- cause this is one of the most difficult cases. The plan is one we have seen before; White would like to simul- taneously attack the bishop and threaten mate, but if Black keeps his bishop on the a-, b- and c-files this is impossible. White can use the dis- covered check motif from diagram 35 to expel the bishop: 1 Bel Ла2 (1...Ла4 2 Ec3 Ле8 3 Ec4 forces the bishop to a bad square, winning after 3 ...±d7 4 Eh4 or 3...JLg6 4 Eg4 JLf7 5 Ef4) 2 Ec2 ЛЬЗ (2...ЛЫ 3 Eb2 also forces the bishop into the open) 3 Eb2 Леб (З...Ла4 and З...Лс4 are impossible) 4 Ee2 Ad7 5 Eh2 and White captures the bishop. Knowing that the formation of di- agram 43 always wins for White can simplify a lot of other endgames: Bei\janun - Tseshkovsky Somerset Open 1986 (44): White won easily by 1 Фе7 JLg7 (after l...±g5+ 2 Феб Black must allow either Фf6 or h6) 2 h6 (by far the simplest; after 2 Феб ФЬ7 Black can struggle on) ЛхЬб (or else h7+ followed by Фе6Т5^6 leads to mate) 3 Ф46! (Black cannot prevent Фg6, when White reaches the win- ning formation from the previous di- agram) JLg5+ (Black’s moves make little difference) 4 Фg6! ЛЬ4 5 Ef4 JLg3 6 Eg4 1-0 because the lines 6...£h2 7 Ф46+ Фга 8 Eh4, 6„.±f2 7 Ea4 ФТ8 8 Bf4+! and 6...JLd6 7 Ed4! Ле7 8 Ea4 are all easily win- ning for White. However, one should not assume that all positions with the king in the bad comer are lost. The following practical example shows that if the attacker cannot reach the set-up of diagram 43, then the result is usually a draw. Ki.Georgiev - H.Olafsson Saint John Open 1988 (45): White is to play and perhaps the simplest draw is by running with the king to the good comer, for ex- ample 1 Фе1 ФеЗ 2 Фdl ФdЗ 3 Фс1
Rook v Bishop 39 Ec2+ 4 ФЫ ФсЗ 5 Фе4. White chose to keep his king in the bad cor- ner, and this plan is also sufficient. The game continued 1 Феб ФеЗ 2 Фgl (provided White maintains his bishop on the long diagonal Black cannot move his king to f3; the dan- ger of allowing ...Ф13 is illustrated by the line 2 Фа4? Ef2+! when 3 Фе1 Ea2 loses the bishop, while 3 Фgl Ф13! leads to diagram 43) Ef2 3 JLg2 (or any other square on the long diagonal except for f3) Фе2 4 ФЬ2 (White could also have marked time with his bishop) Ef8 5 ФЬ7 Eg8 6 ФИЗ (the safest, although again White could have played Фс6М5/е4) ФеЗ 7 ФЬ2 Eg7 8 Фа8 Ф(2 Vi-Vi. Black is not making prog- ress. In this example, White’s defence was eased because his bishop was optimally posted on the long diago- nal. However, the key point is that the bishop has to prevent the move ...ФТЗ; if it starts on the long diago- nal then the draw is simple, but it turns out that it is normally also suf- ficient for the bishop to occupy the short diagonal. (46): In the game it was Black to play and 1 ...Ф44 already posed White with an awkward problem. After 2 Феб? Eg3+ 3 ФЬ2 (3 ФЬ4 Eg6) *f3 followed by ..^g3 Black wins, so the bishop must stay on the dl-h5 di- agonal to cover f3. The game contin- ued 2 Фе2 (2 JLdl is also adequate, but not 2 ФЬ5? Eh8!) Eg3+ 3 ФЬ2! (3 ФЬ4? Eg2 wins) Ee3 4 ФЬ5 (al- though this diagonal is relatively short, it is long enough for White’s 46 =/= Khuzman - Shmuter Ukrainian Ch. 1990 purpose) Ee5 5 JLdl Ed5 (Black fi- nally succeeds in driving the bishop off the dl-h5 diagonal, but now his rook is poorly placed) 6 Фа4 Ec5 (Black cannot play 6...ФТЗ because of 7 Феб, so White gains time to re- lease his king) 7 Фg2 Уг-Уг. In most of the critical cases the bishop starts on a bad square. The at- tacker has to confine the enemy king, while at the same time restricting the bishop to passive squares. In many cases it is not easy to tell at a glance whether this is possible, and the po- sition can only be evaluated by pre- cise calculation. In the following position Black defends using the short diagonal, but in this case White can drive the bishop away. (47): Black to play draws by 1...ФЬ8 2 Фс5 Фс8 3 Фd6 ФЬ5, drawing much as in diagram 46. White to play wins by 1 Фс5! (threatening 2 ФЬб) ФЬ8 (1...ФЬЗ 2 Ef3 ФШ 3 Efl Фе2 4 Ef2, followed by ФЬб) 2
40 Secrets of Pawnless Endings 47 +/= Halberstadt, 1968 Schakend Nederland Ef4! (the rook appears to be well placed on the seventh rank, but it is more important to displace the bishop) Adi (2...Ad7 3 ФЬб! and 2...Ac2 3 ФЬб are hopeless) 3 ФЬб! Фс8 4 Ec4+ ФЬ8 (Black cannot move to the d-file) 5 Bd4 and the bishop is lost. In the next two diagrams it ap- pears unlikely that Black will lose, because White’s king is relatively far away. However, in both cases Black finds that his bishop runs out of squares. (48): Black to play can draw by l..^?g7, so we take White to move. At the moment Black's king is rela- tively free, but it turns out that White can win with precise play: 1 Фf5! (White must restrict Black’s king, but he must also prevent ...Ae5, so the first move is forced) and now: 1) l..^g7 2 Ebl Ah2 (2...Ad6 3 Eb7+! transposes to the main line) 3 Eb2 Ad6 (the only square) 4 Eb7+! Ф^8 (4..^g8 5 if6! wins because 48 +/= Dehler, 1909 Black cannot prevent Ef7 followed by Фg6) 5 Феб! (5 Фf6? is met by 5...Ag3! and Black is saved by the check on h4) with the similar lines 5...Ag3 6 Ef7+! Фе8 (6..^g8 7 Фf6 and 8 Фg6) 7 Eg7, 5...Ah2 6 Ef7+ Фе8 7 Eh7, 5...Ac5 6 Ef7+ Фе8 7 Ec7 and 5...Aa3 6 Ef7+! Фе8 7 Ea7. 2) 1...ФЬ6 2 Ea8 Ag3 (2...Ac7 3 Ваб+ ФЬ5 4 Ea7) 3 Eg8! and now the variations 3...Af2 4 Eg6+! ФЬ5 (4...ФЬ7 5 Фf6! as in diagram 43) 5 Eg2,3...Ael 4Eg6-i^h5 5 Egl and 3...Ac7 4 Eg6+ ФЬ5 5 Eg7 all lead to the loss of Black’s bishop. 3) l...Ad6 2 Ea7+! Фg8 3 Фg6 A>f8 (or else 4 Ef7, with the win of diagram 43) 4 Фf6! Фе8 (4..^g8 5 Ef7 and 6 Фg6) 5 Феб! wins the bishop. (49): White must operate with di- rect threats, or else Black has time to improve his king position. At the same time White must prevent Black’s bishop occupying the long diagonal, for example 1 Ee7? (after
rook v Bishop 41 49 +/= Liburkin, 1933 (end of study) ‘64’ 1 Ef6? JLh5! White cannot prevent ...ФЬ7) Ah5 2 Фс5 ФЬ8! 3 Феб JLf3+ draws easily. The only win- ning move is 1 Sh6! Ab3 (Black’s bishop is dominated, and this is the only move not to lose immediately) 2 Eb6! (the hunt continues; 2 Фс5? Фа7! draws after 3 Феб Фаб! or 3 Eb6 JLd5) Af7 (or any other square; Black cannot cover c6 since 2...Jla4 fails to 3 Еаб+) 3 Фс5! and Black cannot prevent the king reaching c7 via c6 or d6. In other situations, Black’s bishop may appear to be reasonably placed, but by making accurate rook moves White can keep the bishop out of play. (50): From the above discussion it is obvious that White cannot allow Black to play ...Ag2. Since 1 Фс7 Фаб! leads to nothing, the first move must be 1 Ed2! (1 Eg5? Фаб draws) and now: 1) 1...ФЬ8 2 Eb2+ Фа7 (2...Фс8 3 Ef2! wins) 3 Eb6 followed by Фс7. 50 +/= J.Enevoldsen, 1949 2) l...JLh3 2 Eb2 followed by Eb6 and Фс7. 3) l..JLc4 2 Eb2 Фаб (or else Eb6) 3 Eb4 wins. 51 +/= VPlatov, 1906 Deutsche Schachzeitung (51): Black to move draws by 1...ФЬЗ, so we take White to move. 1 ФеЗ! (this move both confines the black king and prevents ...JLd4; 1 Фс2? is less effective and allows Black to escape after 1...ФаЗ! 2 ФеЗ
42 Secrets of Pawn less endings Фа4! 3 Фс4 Фа5!) and now: 1) 1...Л12 2 Веб! (this prevents ...±el+) ФЫ (2...±c5 3 Ea6+ ФЫ 4 ФЬЗ followed by Bc6 and Bc2) 3 Be2! followed by Sc2 and ФЬЗ. 2) 1...Л112 (l...±e3 2 Фс2) 2 Ваб+ ФЫ 3 ФЬЗ and once again Black is unable to play ...Фс1 (be- cause of Eal+ and Ea2+), so Ec6 and Ec2 cannot be prevented. 3) 1...ФЫ 2 Bf6 Фа2 (2...ДеЗ 3 Bfl+ Фа2 4 Фс2 followed by Bf3 and Bb3 wins, while 2...Ла7 3 Bfl+ Фа2 4 Фс2 again prevents ...ФаЗ, so ensuring that the rook can reach b3) 3 Ea6+ ФЫ 4 ФЬЗ with the mirror image of the line after 2...Ла7. In the following position, an accu- rate king move is the key to White’s win. 52 +/= Amelung, 1902 Dunazeitung (52): Black to play draws by l..^?g2, amongst many others, so we take White to move. The only winning move is 1 Фе1! (1 Фе2? is the most obvious choice, but after l..^?g2! White has no check along the second rank, while after 2 Bg7+ ФЬЗ! 3 ФГЗ Black escapes with a bishop check) Фg2 (1...Ф112 2 ФТ2 prevents 2...ФЬЗ, so White will play Bd3-g3, while l..^gl 2 Ed3 fol- lowed by Bg3+ wins) 2 Ed2+! (forc- ing the king onto the first rank) Фgl 3 Ed3!, followed by 4 Bg3+ and 5 Ф12, with the usual winning pattern. Finally, we examine a couple of positions in which accurate defence is required to draw. Mugnos and Carlsson, 1991 Schakend Nederland (53): White to play draws easily, for example by 1 Фс7, so we take Black to play. After 1...ФЬ6 2 Фс8! White escapes, so 1...Фс6 is the most dangerous move, and now: 1) 2 ЛЬЗ? Bf2! 3 Леб (3 Фа7 Bb2 followed by ...Eb6, and 3 JLg4 Ef7 followed by ...Ec7, both lead to the standard win) Ef8+ 4 Фа7 Фс7, and now 5 Фаб is impossible, so Black can continue with ...Bf6 and ...Bb6.
Rook v Bishop 43 2) 2 JLe2? Ef7! intending ...Ec7. 3) 2 JLhS? Ef8+! 3 Фа7 Фс7 4 Фаб (or else ...Ef6 and ...Eb6) Ef6+ and now the king cannot move to the fifth rank. 4) 2 Фа7? loses to 2...Фс7 fol- lowed by 3...Eb6. 5) 2 JLdl! (the check on a4 is the saving resource) Ef4 (2...Ef7 3 JLa4+! ФЬб 4 Фс8! escapes, but the move played threatens З...ФЬ6 4 Фс7 Ec4+) 3 Фа7! (not 3 JLe2? Ef7!, nor 3 JLh5? Ef8+!, as in the lines above) and now White has no problems be- cause the rook must cover the checks on f3 and a4, while З...Фс7 4 Фаб is an easy draw. 2.4: Black’s king is on the edge of the board White may also have winning pros- pects in this case. He has two main ideas; the first is simply to drive the black king towards the bad comer, aiming for diagram 43. The second is to hunt down Black’s bishop directly, using the same methods as in the winning line of diagram 43. (54): Black cannot save the game, no matter which way he moves his king. The two different winning methods are instructive: 1) 1...ФП (moving towards the good comer, but Black will never get there) 2 ФfЗ! JLf4 (there is no safe spot for the bishop; 2...Jlh4 loses to 3 Eh2) 3 Eb2 and the bishop falls. 2) 1...Ф<11 2 ФdЗ! JLd6 (Black’s bishop tries to hide in the safe zone; 2...Фс1 loses to 3 Ec2+!, when З..Фч11 4 Eg2 sheds the bishop, 54 /- Kling and Horwitz, 1851 Chess Studies and Endgames while З...ФЫ 4 ФсЗ! leads to dia- gram 43) 3 Ee6 (the winning plan is just as in diagram 43; the bishop is driven out of the safe zone behind White’s king using the discovered check tactic) JLc5 (3...JLc7 4 Ee7 JLd6 5 Ed7 transposes) 4 Ec6 JLe7 (4...±gl 5 Eg6 i.c5 6 Eg5 JLf2 7 Eh5 Фс1 8 Hhl+ and 9 Eh2) 5 Ec7 JLd6 6 Ed7 (the key position; Black cannot move to c5 or e5, so the bishop must leave the safe zone) JLa3 7 Ea7! JLb2 8 Bh7 Фе1 9 Hhl+ fol- lowed by 10 Eh2+, and White wins the bishop. The same method of hunting down the bishop also works when the kings are on the f-file. (55): Black to play draws by 1 ...Фе8! 2 Феб Фd8! 3 Фd6 Фе8 (or З...Фс8), so we take White to move. The winning line is 1 Eg3! (note that the situation differs from diagram 43 in that White cannot take his time; if he does not take advantage of his momentary chance, Black will move
44 Secrets of Pawnless Endings 56 +/= Gazoni, 1933 Ceskoslovensky Sach Kling and Horwitz, 1851 Chess Studies and Endgames his king and draw) JLe4 (l...JLe2 2 Eg2 JLf3 3 Ef2 is the same) 2 ЕеЗ JLg2 3 Ee2 JLf3 4 Bf2 (the standard manoeuvre) JLh5 (4...JLc6 5 Ec2! JLd7 6 Eb2) 5 Eh2 i.f7 6 Eh8+ i.g8 7 4^6 wins. The conclusion is that Black should avoid a situation in which the kings are facing each other and White is to play. It follows that he must put his bishop on a square which allows him to sidestep an opposition of kings by moving his own king (i.e. he should avoid forks). The following position shows how White can sometimes win by chas- ing Black’s king. (56): Although Black’s king is near the good comer on hl, White can drive him up the board to h8: 1 413! ФЬ4 (forced, or else White wins as in the previous diagram, for exam- ple l...JLd4 2 Ec2 and the bishop must leave the safe zone immedi- ately) 2 Eg4+! 4>h5 (2...4>h3 3 Bg7) 3 414! and now: 1) 3...i.b8+ 4 *f5! 4>h6 (or else White wins as in diagram 54) 5 Eg6+ 4>h7 (5...4>h5 6 Bg8) 6 si?f6 followed by 7 417. 2) 3...JLf2 4 415! transposes to line 2 of diagram 54. 3) 3...i.e3+ 4 <4f5! 4>h6 (after other moves White wins as in dia- gram 54) 5 Eg6+! 4>h7 6416! wins. 4) 3...4116 4 <4f5! 4>h7 (bishop moves transpose to lines 1-3) 5 416! followed by Eg6 and 417. However, this win is exceptional, and it only works because Black’s bishop is on such a miserable square. Suppose, for example, that it starts on b6 instead of a7; then the result is a draw after 1 4?f3 4b4! 2 Eg4+ 4>h5! 3 414 JLd8 4 415 4>h6! 5 Eg6+ 4b7! and, as we saw in dia- gram 46, control of f6 along the short diagonal is enough to draw. We finish with a few miscella- neous examples. (57): This is a position of recipro- cal zugzwang. I am not sure what to
Rook v Bishop 45 Original (?) put under the diagram, because al- though the diagram position arises in various studies, no earlier composer appears to have made an explicit claim of reciprocal zugzwang. First of all suppose that Black is to move: l...JLbl (l...JLa4 2 ФТЗ! ФЬ2 3 Ф12 ФЬЗ 4 Ed3+ and 5 Ed4 wins) 2 Sdl JLc2 (2...JLg6 3 Egl! trans- poses) 3 Eel JLg6 (3...JLa4 4 ФГЗ!) 4 Egl! JLe8 (other squares are simi- lar) 5 Eg3+! and wins after 5...ФЬ4 6 Bg8, or 5...Ф112 6 ФfЗ and 7 ФgЗ. However, White to play cannot maintain the bind. 1 Ф13 is met by 1...Ф114!. If the rook moves off the d-file, then Black can gain control of f3, for example 1 Ea6 JLdl!, draw- ing as in diagram 46. Most rook moves along the d-file fail in a similar way, for example 1 Ed8 al- lows l...JLa4! followed by ...JLc6. Finally 1 Ed4 prevents l...Jla4, but allows l..Jtg6! (threatening 2...Ф^2) 2Sd8 (2 Sd7 JLe8, again heading for c6) JLf7! (but not 2...JLc2 3 Ed6!) and now Black’s bishop is free, for example 3 Bd7 may be answered by 3...±e8. 58 +/= Missiaen, 1959 (end of study) 1st HM, Tijdschrift v. d. KNSB (58): It is worth giving two differ- ent winning lines for White: 1) 1 Eb6 (the composer’s inten- tion) JLc2 (l..^?g2 is Missiaen’s main line, but then White can win most quickly by 2 Eb7 transposing to line 2; the composer’s 2 Ed6 also wins) 2 Ed6! (preventing the check on dl) reaching diagram 57 with Black to move. 2) 1 Eb3+ Фg2 (1...Ф112 2 ФТЗ and 3 Ф12) 2 Eb7 JLd3 3 Eb2+! transposes to line 1 of diagram 48. (59): Black to play can draw most simply by 1...Фе8 2 Феб Ф18, head- ing for the good comer. With White to play, every move must be with tempo in order to exploit the advan- tageous opposition of kings: f Eal! JLb7 (after l...JLe4 2 Ea4 the bishop has no decent square, for example 2...±b7 3 Eh4!) 2 Eel! (a tricky move; if hl were accessible, then
46 Secrets of Pawnless Endings 59 Missiaen, 1952 Tijdschrift v. d. KNSB playing the rook there would win at once, but the bishop covers hl; 2 Egl is too close to Black’s king and allows the drawing reply 2...Фе8!) Лаб (thanks to the bad position of the bishop on b7, Black cannot play ...Фс8; 2...Ла8 loses to 3 Egl Фс8 4 Eg8+! ФЬ7 5 Ee8 Фа7 6 Фс7! fol- lowed by Ee6) 3 Ee7! (threatening Ea7) Фс8 (or 3... Ad3 4 Ee3, winning as in diagram 54) 4 Ec7+! ФЬ8 5 Феб! and 6 ФЬб, with the usual win. (60): l..^?g6 is a simple draw with Black to move, so suppose that White is to play. The win is surpris- ingly complex: 1 Фf5! and now: 1) l...'4’g7 2 Ed4! (not an obvi- ous move, but it prepares Ed7+ with- out allowing Black’s king to escape, for example 2 Ea4? ФП! 3 Ea7+ Фе8! 4 Феб Фd8! lets Black off the hook) ФТ8 (2...ЛЬ8 3 Ed7+ ФЬб 4 Ed8 transposes to the analysis of di- agram 57, while 2...Фf7 3 Ed7+! Фе8 4 Феб! ФГ8 5 Ef7+ Фё8 6 ФГ6 is the standard win) 3 Феб! (not 3 Sackmann, 1898 Фf6? Лс7!) £g3 (3..J?g7 4 Eg4+ ФТ8 5 Eh4 is diagram 57 again) 4 Ec4! and we have reached the recip- rocal zugzwang of diagram 57, with Black to play. 2) l...JLg3 2 Eg4! and after a bishop move White plays 3 Eg6+, when З...Ф115 fails to a rook move at- tacking the bishop and threatening mate, while З...ФЬ7 4 ФТб and 5 ФТ7 wins as in diagram 43. 3) 1...ЛЬ8 2 Eg4 followed by 3 Eg6+, winning as in line 2. 4) 1...ФЬ5 2 Ed4 JLg3 3 Edl wins. A splendid composition. (61): In this typical practical ex- ample, the position should be a draw but in the game Tseitlin made a fatal mistake. The game continued 1 ФТ1! (not 1 Ab3? Eb2) ФТЗ and now: 1) 2 Фе1? (the game continua- tion loses) ФеЗ! 3 ФП (the king has to move or else White loses as in dia- gram 54) Sf2+! 4 Фgl (4 Фе1 Hc2) ФТЗ 0-1, because Black has reached the standard win of diagram 43.
Rook v Bishop 47 61 =/ M.S.Tseitlin -1.Zaitsev Bucharest 1993 2) 2 JLb3! (the correct moment for this move, because Black’s rook has to stay on the d-file to prevent Ad5+) Hf2+ (2...Ed3 3 Aa4 threat- ens to check, and after 3...Hd6 White draws by 4 Ab3 and Black cannot make progress) 3 Фе1! ФеЗ 4 i’dl! (remember that whenever Black op- poses kings, White must sidestep) *d3 5 Фе1! (5 Фс1? ФеЗ! wins) Ee2+ 6 ФП! ФеЗ 7 JLd5 controlling f3, and now the draw is simple. There are five reciprocal zug- zwangs in the ending of E v JL. Two of them are trivial: zzl: WФc8,Ea8 v ВФЬ6,Да7 zz2: WФc6,Ea8 v ВФе7,.&Л8 In the first, White wins the bishop after 1...Фа6 2 Фс7!, while in the second 1...Фе8 2 Фd6 is similar. White to play cannot maintain the bind and must free either king or bishop. zz3: Wфf4,Бd6 v ВФЬЗ,Дс2 This is diagram 57. zz4: WФc6,Ef2 v ВФЬ8 ДЬЗ This position arose after 2...Bf2! in line 1 of diagram 53, and we proved there that it is a loss with Black to play. With White to move, 1 Be2 Ag4! 2 ЕеЗ JLh5! and 1 Eh2 Ag4! defend by threatening to check on the long diagonal. zz5: W<£)c6,Eel v BФd8,Aa6 This is related to diagram 59. With Black to play, 1...JLc4 (l...JLc8 2 Фd6! JLa6 3 Ee7 transposes to the main line) 2 Фd6 JLa6 (2...JLd3 3 ЕеЗ JLc4 4 Ec3 JLe2 5 Ec2 JLd3 6 Ed2 is a standard win) 3 Ee7! (we have transposed to diagram 59) Фс8 (the threat was 4 Ea7, and 3...JLd3 4 ЕеЗ wins as in the previous note) 4 Ec7+! ФЬ8 5 Феб!, followed by 6 ФЬб, and we again have a standard win. 62 We finish with the longest win in the ending of E v JL. (62): Black to play draws by 1...ФЬ7. Readers will recognize that Black’s king is in the bad comer, but White has to manoeuvre with great accuracy to exploit this. The
48 Secrets of Pawnless Endings key position arises after the moves 1 Фа5! ФЬ7 (1...Фа7 2 Hf3 trans- poses to the main line, while 1 ...Jlb7 2 ФЬ6+ ФЬ8 3 ДЬЗ wins immedi- ately) 2 ДЬЗ+! (after 2 flf3? Ae2 White is unable to force Black’s king onto the back rank) Фа7. Now White must move his rook along the third rank, but which square should it go to? The idea is that White must try to prevent Black’s bishop from occupy- ing the long diagonal. There is no need to worry about the immediate ...Ab7, because after 3 ДеЗ Jlb7 4 Де7, for example, White’s king pen- etrates to b6 with an easy win. But 3 ДеЗ? doesn’t win, because Black has the defence 3 ДеЗ? JLfl! (heading for g2) 4 He7+ ФЬ8! 5 ФЬб Фс8! 6 Феб JLg2+! and Black escapes. The only winning move is 3 Hf3!, which is best because it covers fl and d3 directly, while after Hf7+ the square f3 will also be defended, preventing the manoeuvre ...Jle2-f3. Astonish- ingly, the position after 3 fif3! arose in a study by V.Platov, published in ‘64’ during 1925 (the position was WФb4,ДfЗ v ВФа7,Аа6, when White wins by 1 Фа5!). After 3flf3!, play continues 3...JLe2 (3...Ac4 4 ДеЗ!, followed by Дс7+ and ФЬб) 4 Sf7+! ФЬ8 5 ФЬб! Фс8 6 Феб! (there is no check on f3) Фd8 (б...ФЬ8 7 Дс7 and 8 ФЬб) 7 Фd6! Фс8 (the position of Black’s bishop is unfortunate, preventing ...Фе8) 8 Дс7+! ФЬ8 (8..Ф^8 loses to 9 Дс2, as in line 2 of diagram 54) 9 Феб! (the eighth consecutive only move reaches the standard win) Jlc4 10 ФЬб Ab3 11 Дс1 Aa2 12 Sal Ab3 13 ДаЗ ±еб 14 ДеЗ JLd7 15 fif3 and captures the bishop in 3 more moves.
3 Queen v Rook This endgame is always winning for the queen, except if the side with the rook has the possibility of an immediate perpetual check or stalemate. However, the win is by no means easy against accurate defence. The winning nature of this ending has been known for at least 200 years, and it had always been con- sidered relatively easy to drive the defender’s king to the edge of the board and then either deliver mate or win the rook. But in 1978 it suddenly became obvi- ous that the difficulties had been underestimated. In the early days of endgame databases, only four-man endings could be analysed, and the W v H database was one of the first to be constructed by Ken Thompson. A match took place in December 1978 between BELLE, Ken Thompson’s program, and Grandmaster Walter Browne. The initial position was a difficult iF v В win, with Browne handling the queen and the computer accessing its database to defend with the rook. With perfect play, Browne could have won in 31 moves, but although the game was played at a tourna- ment time-limit, Browne was not only unable to win in 31 moves, he even overstepped the 50-move limit and the game was drawn. A rematch took place later in the month, and this time Browne was more successful; he managed to capture BELLE’s rook in the nick of time on move 50! It was obvious that, even with time to prepare, W v H is far from simple to play. Later experiments reinforced this view, and proved that even the world’s top players have prob- lems with this ending if they have not specially prepared. From the over-the-board player’s point of view, all of this might seem irrel- evant, because in a tournament you are playing another human being and not a database. Conducting an accurate defence is also very hard for a human, so one can argue that no special study is required, because the mistakes by both sides will tend to cancel each other out, leaving the endgame the same ‘easy win’ that people believed in pre-computer days. However, I think that there are valid reasons why it is worthwhile for over-the-board players to study this ending. First of all, the ready availability of databases for home computers means that your opponent might very well have made a special study of W v H (or he might have read this book!) and then it may not be so easy to win with the queen. Secondly, even in the case of an ignorant opponent, it makes little sense to continue planlessly, just hoping that your opponent will allow a fork picking up the rook. Having an idea of the correct plan will at least give direc- tion and purpose to your moves. Now that more and more games have quickplay finishes, this argument becomes even stronger because there may be no time to work out a detailed strategy; if you do not have a general idea of
50 Secrets of Pawnless Endings the main plans, then you are liable to flounder around helplessly. Finally, the arguments can be reversed. Knowing the right defensive plans will enable you to create problems for your opponent if you have the rook; in a quickplay fin- ish this might make a difference of half a point. We will not divide up this chapter into sections, but instead concentrate on the various stages of the winning process. The first step is to analyse the win- ning method when the defender’s king is trapped on or near the edge of the board, and then see how to lift the blockade when the defender tries to cut off the attacker’s king with his rook. At the same time we will mention possible defensive ideas. Finally we will examine a number of practical examples to show how the theoretical discussion can be applied over-the-board. Finally, we consider the few drawing possibilities available. These are more important than they might seem, because they can arise from the common ending of W v E+A. One ominous development for human beings is that some researchers have been developing ways to program computers to be ‘human-unfriendly’. In the past, computers have normally been programmed to defend such endings by playing optimally, i.e. by playing the move which delays the end for as long as possible. This tends to result in programs that follow the same losing paths in game after game, making it easy for human opponents to memorize a rela- tively small number of winning paths. However, Peter Jansen of Carnegie- Mellon University has developed ways to make the computer defend more imaginatively by making moves which, although possibly losing more quickly, nevertheless can only be refuted by following a narrow path to vic- tory. Readers who check the analysis I give below against a database will some- times find that I have not given the optimal continuation for White. The reason is that if there are several routes to victory, I usually prefer a clear-cut and sys- tematic win over a more complex but marginally shorter path. The former lends itself much better to human understanding and that is what this book is all about. The first step is to consider positions near the end of the winning process. These are the basic building blocks which form the foundation for the rest of the chapter. (63): If Black is to play then he loses his rook to a fork within a few moves, for example 1...ЕЫ 2 Wd8+ Фа7 3 Wd4+ Фа8 (or b8) 4 Wh8+ Фа7 5 Wh7+, or l...Eb3 2 Wd8+ Фа7 3 Ж14+ ФЬ8 4 W4+ followed by 5 Wa4+, or l...Ef7 2 We5+ Фа7 3 We3+ and 4 We8+, or finally 1 ...Eh7 2 We5+ Фа7 3 Wal+ ФЬ8 4 «Ы+. If White is to move then the win is slower because White needs to trans- fer the move to Black by playing 1 We5+ Фа8 2 Wal+ ФЬ8 3 Wa5, and then as above. This position is so
Queen v Rook 51 Philidor, 1777 important that henceforth we will call it Philidor’s position. Starting from a ‘near-terminal’ position, it is normally quite easy for White to force Philidor’s position, and therefore reach a known win, even if this is not the quickest method. The main danger is to care- lessly allow a stalemate trick: Berger, 1889 (64): This position is deceptive because with White to play the most obvious move is 1 Wc6+, but this ac- tually delays the win by four moves. The reason is that after 1 i&c6+ ФЬ8, White cannot play 2 ФЬб? because of 2...Ea6+ forcing stalemate. The quickest method is 1 We5 with the lines 1...Фс8 2 ФЬб Eb7+ 3 Феб, 1...Фа8 2 Ш5+ ФЬ8 3 ФЬб and 1...Еа8 2 We7+ Фс8 3 ФЬб ЕЬ8+ 4 Феб. In all cases White solves the problem of penetrating to the sixth rank with his king without allowing stalemate. It is worth noting that 1 Ж14 also wins quickly, for example 1...ФЬ8 (1...Фа8 2 Ж15+ wins as before) 2 ФЬб Eb7+ 3 Фаб Ec7 4 Ш8+. This provides the key when Black is to move, since White wins by 1...ФЬ8 2 W8+ Фс7 3 We7+ ФЬ8 4 Ж18+ ФЬ7 5 Wd4. The position of Black’s rook in di- agram 64 is unusual, because it is very passively placed. Black’s nor- mal strategy is to use his rook to cut off White’s king by operating along the third rank. If Black plays opti- mally, then almost any starting posi- tion eventually leads to this type of defence. However, Black can also adopt a defence based on having his rook on the second rank; we unimag- inatively call this the ‘second-rank defence’. It has particular impor- tance because in practical examples Black usually chooses this defence. In this case Black’s king must also be on the second rank or else White can quickly penetrate to the sixth rank with his own king. We consider this defence first, and the next group of po- sitions forms a systematic exploration
52 Secrets of Pawnless Endings of the important situation in which Black’s rook occupies the second rank. When Black’s king is near the cor- ner of the board, then he is also near to defeat, so we take these positions first. 65 +/- (65): If it is Black to move then he loses quickly. Here are the two varia- tions: 1) 1..ЛП2«е5+ФП(2...Ф«3 «c5+ *g7 4 «d4+ *f8 5 *g6; readers should note this characteris- tic manoeuvre which occurs time and time again - White gives a series of queen checks designed to cover Black’s rear checking square, gl in this case, and then advances his king to the sixth rank) 3 «еЗ (such moves are typical if, for some reason, the rook cannot rejoin Black’s king; in this case it is often better for White to stop Black’s check than to continue his own checks) i’g? (З...ВЫ 4 «f3+ *g8 5 «d5+ *g7 6 «e5+ *g8 7 «e8+ and 8 «g6+) 4 «d4+ ФГ8 5 i’gb wins. 2) l..JZf2 2 «e5+ *g8 3 Ш5+ ФЬ7 4«е4+ Фg8 5 Wc4+wins. 3) l..JZa7 2 «g6+ ФЬ8 (2...Ф^ 3 «d6+ ФТ7 4 «f4+ wins the rook) 3 ФЬб Bf7 (a good try, but it makes no difference in the end; once again, such stalemate defences are typical) 4 «e4 Bf6+ 5 Фg5 Hf8 (or 5...Hf 1 6 «d4+ Фg8 7 «c4+) 6 Фg6 Bg8+ 7 ФЬб wins. With White to play 1 «d8 ФЬ7 (1 ...Bf3 2 «d4+ Ф1В 3 «d6+ Фё7 4 «е5+ Ф^ 5 Фg6) 2 W'd4 (this move is worth knowing, because it is not so obvious; by covering g7, White pre- pares the line 2...Bg7+ 3 Фf6 Bg6+ 4 ФТ7 when Black runs out of checks) Bg7+ (2...Be7 3 Фf6 Bg7 4 Wh4+ Фg8 5 «h5 is Philidor’s position) 3 ФГ6 Фё8 4 «d8+ ФЬ7 5 «е8 is again Philidor’s position. 66 (66): Moving everything one square to the left does not add much to the difficulty of the win. Black to play loses after l...Bel (l...Be2 2 «d5+ Фе7 3 «с5+ Фd8 4 ФГ6 Be8 5 ФГ7) 2 «d5+ ФГ8 3 «с5+ Фе8 4
Queen v Rook 53 Wb5+ ФП 5 Wc4+ Фе 8 6 *f6 *d7 7 W3+ Фе8 8 Wb5+ and wins. As before, it is slightly harder when White moves first, but he can finish Black off by 1 Ж15+ i’g? (1...Фе8 2 Wg8+ *d7 3 *f6 Be8 4 W7+ *d8 5 Wb7 Eel 6 Ш5+ Фс8 7 Wc5+ *d7 8 Wd4+ Фе8 9 Wa4+ and wins) 2 Wd4+ *f8 (2...ФП 3 Ж18 transfers the move to Black) 3 *f6 Bf7+ 4 *g6 Фе8 5 Wh8+ Bf8 6 Wg7 Bfl 7 We5+ *d8 8 Wd5+ Фе7 91йге4+ Ф18 10 Wb4+ and wins. The next step would be to move all the pieces to the left by one more square, but first we look at two posi- tions in which Black’s rook is on the other side of his king. 67 (67): Suppose that Black is to play. Then White wins after l...Bg7 (1...ВП 2 Wc5+ *d8 3 Wb6+ Фе7 4 Wb4+ *d8 5 Феб) 2 Wc7+ Фf8 3 Wd8+ ФТ7 4 Фf5 (another typical idea; forcing the whole position across the board) Bh7 5 Ж17+ Фg8 6 WeS-t- Фg7 7 'A’gS (the same idea again) Ehl 8 Ж17+ followed by Ж:8+ and Wb7+, winning the rook. With White to play the win takes a little longer; the simplest route is 1 Wb8 Фd7 (for l...Bg7 2 Wc7+ see the Black to play analysis) 2 Wg8 Be7+ (2...Фе7 3 Ж:8 transfers the move to Black) 3 Ф16 (this position also arose in die previous diagram) Be8 (3...Bel 4 Wg4+ Фd8 5 Wd4+ Фе8 6 Wa4+ wins the rook) 4 Wf7+ Фd8 5 Wb7 Bel 6 Wd5+ Фс8 7 Wc4+ Фd7 8 Ш4+ Фе8 9 Bt4+ and wins the rook. White also wins comfortably if the queen starts on g8. 68 +/- Ей we, 1958 (68): White to play wins by 1 WcS, reaching diagram 67. Black to play loses after: 1) 1..ЛП 2 Ф18 (2..^d8 3 Wb6+ Фе7 4 Wb4+ Фd8 5 Феб) 3 Wc8+ Фg7 (З...Фе7 4 Wc5+ Фd8 5 Wb6+ as in the last bracket) 4 Wg4+ Ф18 5 Феб Bel+ 6 Ф16 Bfl+ 7 Фg6 and Black loses his rook. 2) l..Jtf2(l...Ef3 г^еб+ФТв 3 Wc8+ and 4 Wb7+) 2 Wg5+ (2 Wc4
54 Secrets of Pawnless Endings is faster, but who would find this move?) ФТ7 (2...ФГ8 3 Феб Ea2 4 Wc5+ i’g? 5 ФГ5 wins after 5...Hg2 6 Wc3+ *g8 7 Wb3+ *f8 8 Wb8+ or 5...Наб 6 Wc7+ ФЬб 7 Wh2+ *g7 8 Wb2+ *f8 9 Wb8+ and 10 Wb7+) 3Wh5+ *g7 (or 3...*g8 4 Феб Hg2 5 Фе7 and now 5...Hg7+ 6 Фf6 is Philidor’s position, while 5...Egl 6 Wf7+ ФЬ8 7 Фf8 Hg6 8 Ж15 wins quickly as in line 3 of diagram 65) 4 Феб Hf6+ 5 Фе7 Hg6 6 We5+ trans- posing to diagram 65. Now we shift diagram 66 one file to the left. 69 (69): When Black is to play White wins by l...Hd2 (l...Edl 2 We6+ wins after 2..^d8 3 Wg8+ Фс7 4 Wc4+ Фd8 5 Феб Hel+ 6 Фd6 Edl+ 7 Феб or 2...Ф^8 3 Wh6+ Фё8 4 Wg5+ Фf8 5 Ш+ Фе7 6 Wh4+ Ф^ 7 Феб) 2 Wc5+ Фd7 3 Wb5+ Фс8 4 Феб Ec2 (4...Hd8 5 Фе7 Eh8 6 Wc5+ ФЬ7 7 Wb4+ Фаб 8 Wa3+ and 9 Wb2+) 5 Фd6 Eh2 (this ‘diag- onal motif’ is a typical defensive idea; Black plays his rook to the same diagonal as White’s king, which very often makes it impossi- ble for White to pick up the rook with a fork; 5...Hcl 6 Wg5 Edl+ 7 Феб wins much more quickly) 6 W5+ ФЬ7 7 Фс5 (this is line 2 of diagram 68) Eb2 (7...Hh6 8 Wf7+ Фаб 9 Ш2+ ФЬ7 10 Wg2+ ФЬ8 11 Wg8+ and 12 Wg7+) 8 W3+ Фс7 9 Wg3+ Фс8 10 Wg8+ and 11 Wg7+. White to play wins by 1 Wg8 and now l...Ec7 is practically forced (l...Edl 2 Wg5+ Ф^ 3 Wf4+ Фе7 4 1ЙГЬ4+ wins the rook), and then 2 Wg7+ Фd8 3 W8+ Фd7 4 Фс15 reaches diagram 67. 70 +/- Berger, 1889 (70): White to play wins by 1 We8 giving diagram 66, so we need only take Black to move: 1) 1..Ле7 2 Ж15 Ed7 (2...Eel 3 Ж16+ Фс8 4 Wa6+ ФЬ8 5 Wb5+ Фс8 and now 6 Wc4 is very strong because it prevents Black’s rook re- joining the king; White wins after 6...Фс7 7 Wf4+ Фс8 8 Wg4+ Фd8 9
Queen v Rook 55 Wh4+) 3 ^5+ and we have diagram 66 with White to move. 2) 2 Wc6+ *d8 (2...ФЬ8 3 We4 Ed7 4 Феб Eb7 5 We8+ Фа7 6 Ж18 is Philidor’s position) 3 W6+ *d7 4 W5+ Фе7 5 We4+ *d8 6 Wh4+ Фс7 7 Wf4+ *d8 8 Феб Фе7 9 We3+ Фd8 10 Wg5+ and wins. The following position completes the systematic analysis of positions with Black’s rook and king occupy- ing the second rank. Berger, 1889 (71): This is diagram 64 shifted one square to the right. Although the analysis of these U v E positions may appear complicated, the impor- tant points recur time and time again. Just as in diagram 64, White has to be careful because 1 Ж16+ Фс8 2 Феб? Eb6+! draws. The fastest win is exactly analogous to diagram 64, i.e. 1 Wf5 ФЬ8 (l...Ha7 2 We5+ ФЬ7 3 ФЬ5 is diagram 64 exactly) 2 i&e5+ Фа7 (2...Фа8 3 Феб Eb6+ 4 Фс7 is even worse) 3 Феб Фа8 (З...ЕЬ6+ 4 Фс7 Eb7+ 5 Фс8 also loses) 4 Ж1+ ФЬ8 5 WaS with Philidor’s position. The other conclusions are the same as in diagram 64; White can also win quickly by 1 We4 Фс8 2 Феб Ec7+ 3 ФЬб Фd8 4 Wa8+ Ec8 5 Wb7, and with Black to move 1...Фс8 2 WgS-t- Фd7 (2...Фс7 3 We8) 3 Wf7+ Фс8 4 i&e8+ Фс7 5 ^64 transposes into this line. Using these basic positions, we can tackle related situations: 72 (72): Black to play cannot hold out for long. The main lines run: 1) 1..ЛЬ6 2 ФаЗ is diagram 67. 2) 1..Af7 2 i&c6+ and now: 2a) 2...Ф&5 3 Фс4 Ef4+ 4 ФсЗ Eh4 (after 4...Ea4, White can win quickly by 5 Ж17 Ea3+ 6 Фс4, but he must not fall into a stalemate trap, for example transferring the move to Black by 5 Wa8+ ФЬ7 6 Wb7+ Фа5 7 ^сб allows 7...Ha3+ and 8 Фс4? Ec3+! is impossible, so White has to start the winning procedure from an earlier stage, which costs him 16 moves) 5 Wc5+ Фаб 6 W'd6-t- ФЬ5 7 WeS-t- Фа4 8 WeS-t- and wins.
56 Secrets of Pawnless endings 2b) 2...ФМ 3 Wb6+ ФеЗ (or З...Фа4 4 'Неб and White wins the rook after 4...Eg7 5 'йкаб-ь ФЬЗ 6 Wc4+, 4...Bf4 5 We8+ Фа5 6 Wa8+ or 4...Bf8 5 Wa6+ ФЬЗ 6 Wc4+, while З...ФаЗ 4 Фс4 Ef4+ 5 ФеЗ Ef3+ 6 Фс2 loses at once) 4 'Неб Bh7 (4...Hf8 5 Bj3+ ФЬ2 6 Ж14+ Фа2 7 1й,а4+ and 8 wins, while 4...Ef3 5 Wel-t- drops the rook immediately) 5 ^еЗ-ь ФЬ2 6 Ж12+ Фа1 7 Ж:1+ wins the rook. 3) 1..ЛЬ7 2 Wc6+ Фа5 (2...ФЬ4 3 Wc4+ Фа5 4 Wa2+) 3 Wc3+ ФЬб 4 Wb2+ Фа7 5 Феб Eh6+ 6 Фс7 Eh7+ 7 Фс8 Фаб 8 Ж2+ and 9 Wbl+ wins. 4) 1...Ф&5 2 Фс4 Bh7 3 Ж12+ ФЬб 4 Wd4+ Фа5 5 Ш+ and 6 Wbl+. Euwe, 1958 (73): In this position Black is al- ready committed to the second-rank defence. The winning plan is to drive Black’s king into the h8 comer: 1 W5+ Фd8 2 Фс5 (the practical choice; the computer tells us that 2 Феб wins in precisely the same num- ber of moves, but this allows Black to play 2...Be6+, switching to the third-rank defence, which is harder to break down) Фе8 (2...Фс7 3 Ш15 is line 1 of diagram 70, while 2...Eel 3 ШЗ+ Фе7 4 Фс15 Фf7 5 W3+ Фе7 6 Wg4 ФП 7 Ш+ Фе8 8 Фd6 Edl+ 9 Феб Ее1+ 10 ФЛ> wins the rook) 3 Wc8+ Ф(7 4 Фd6 Ba7 (4...Be8 5 Wd7+ Фf8 6 Wh7 Bel 7 Wh6+ Фе8 8 Wg5+ ФТ7 9 Wf4+ Фе8 10 Wg3 wins) 5 Wc4+ ФТ8 6 Феб Bf7 (after 6...Bh7 7 Wc8+ White can transfer his queen to f7 using checks; this forces ...ФЬб, where- upon W6+ followed by Ф45 wins) 7 Wc5+ Фg8 8 Ж15 (this lining-up against the black king is a fairly common theme) Bg7 (8..^?g7 9 Wg5+ Ф?8 10 Wh5) 9 ФГ6 ФЬ7 10 Whl+ Фg8 11 WhS with Philidor’s position. Having developed the theory of the second-rank defence in great de- tail, it is time to examine a number of practical examples. (74): The game continued 1 Ж18+ (in fact 1 WeS-b Фg8 2 WeS-t- Фg7 3 Фg5 is the simplest, immediately reaching diagram 65) ФЬ7 (l..^?g7 2 Фg5 is diagram 65 with White to play) 2 Фg5 Bg7+ (2..^g7 3 We8 is diagram 65) 3 ФЛ> Bg6+ 4 Фf5 Bg7 (4...Bg2 5 Wh4+ Фg7 6 Ж14+ ФЬ7 7 Ф^б Bg7 8 Wh4+ Фg8 9 Wh5 is Philidor’s position) 5 Wh4+ (5 Ж15 is slightly simpler, when Black can- not avoid Philidor’s position, for ex- ample 5...Bg6 6 W7+ Bg7 7 Wh5+ Фg8 8 ФГ6) Фg8 6 Ж14 ФЬ7 (б...Ф?8 7 Фf6 Bf7+ 8 Фg6 Фе8 9
QUEEN V ROOK 57 Knelevic - Suetin Olomouc 1975 Wh8+ Sf8 10 Wg7 wins) 7 *f6 *g8 8 Wd5+ (8 Wd8+ and 9 We8 is a move faster) ФЬ7 9 Whl+ i’gS 10 Wh5 1-0. 75 -/ Delaney - Leow Novi Sad OL1990 (75): White’s king is already unfa- vourably placed near the h8 comer. The result is that he is unable to set up a third-rank defence, because af- ter 1 Hf6 i>g5 White can only avoid the immediate loss of the rook by 2 Sf7, with play similar to the main line. The game continued 1 Hf7 Wd8+ (this loses two tempi, but it is not a bad move because it is forcing; l...We5 2 ФЬ7 i’gS is the quickest) 2 *h7 (2 flf8 We7 3 Sf7 We8+ 4 <S?g7 Si?g5 is diagram 65 with Black to move, while 2 &g7 i’gS is dia- gram 65 with White to move) <&g5 (we have transposed to the main line of diagram 74) 3 <&g7 (for 3 Bg7+ see diagram 74) Wd6 (Black loses the thread for several moves; 3...We8 was correct, with diagram 65) 4 *g8 (not 4 ФЬ7 Wg6+ 5 *h8 ФЬб with an instant win) Wd5 5 <&gl Wd8 6 ФЬ7 Wd4 (suddenly Black is back on track; this move was given in the White to play analysis of dia- gram 65) 7 Sg7+ *f6 8 *g8 Wd8+ 9 ФЬ7 We8 (Philidor) 10 Ha7 Wh5+ 0-1. Gutierrez - Belli Thessaloniki OL 1988 (76): Here we start with a tricky position to win, requiring 23 moves
58 Secrets of Pawnless Endings if played perfectly. Both sides con- ducted the endgame reasonably well, with only minor inaccuracies, and White was soon forced into a second-rank defence: 1 Ee4 <4)d3 2 Ee5 (this costs two moves; 2 Ee6 was the best) <4)d4+ 3 Ф^б WbfH- (this returns the two moves; 3...Wb8 4 Ee7 W4+ 5 Феб Фе4 was a faster way to push White back) 4 Веб 'He! 5 Ee7 Ж16+ 6 ФП *d5 7 Фе8 Wgb-l- 8 Фd7 (8 Ф4"8 would have caused more practical difficulties, because 8..^d6 9 Ed7+ sends Black into reverse gear, and the superior line 8..>h5 9 Eg7 Фе5 10 Ec7 Wh8+ 11 Фе7 Wg7+ 12 *d8 W8+ 13 i’d? Фс15, giving diagram 67, is not entirely obvious) i&c6+ (the shortest route was 8...Wg4+ 9 Фс7 W4+ 10 Фd7 W8, and we have dia- gram 67 again) 9 Фd8 Wa8+ (cer- tainly not 9...Фч16? 10 Ee6+!) 10 Фd7 (10 Фс7 would have spun the game out by two more moves, be- cause Black would have to check on a7 and b8 to force the king to d7) W8 (Black has the right idea) 11 Ee8 (loses instantly; 11 Ee2 would have forced Black to find the win- ning line of diagram 67) Ж16+ 12 Фс8Фс6 0-1. (77): This example is a good illus- tration of how easy it is to go round in circles if you do not have a clear idea of the right plan. Black is only 14 moves from victory, but initially he makes little progress. The analy- sis runs: 1) 1Ве4+Фс12(1...Ф<13 is slightly faster, but this line is simpler) 2 Ee2+ (2 Ea4 Wb3 soon wins the Zapata - J.Diaz Cienfuegos 1988 rook) ФdЗ 3 Eg2 W3 4 ФЬ2 Wh5+ 5 Фgl ФеЗ 6 Eg3+ Ф44 7 Eg2 Ш5 and wins as in the White to play anal- ysis of diagram 65. 2) 1 Eg2+ (the game continua- tion) ФеЗ 2 Ef2 (this should have cost six moves; I am sure that if White had noticed 2 Ee2+, then he would have played it) 1B,g4+ (miss- ing 2...1Brg3+, when 3 Eg2 Wel-b 4 ФЬ2 Ф13 is Philidor’s position while 3 ФЫ Wh4+ 4 Eh2 Wel+ 5 Фё2 «Т2+ 6 ФЬЗ W3+ 7 ФЬ4 ФГ4 leads to mate) 3 Eg2 Ш1+ 4 ФЬ2 Wh5+ (Black should play the standard move 4...Ш15, as seen in the White to play analysis of diagram 65 and several other places) 5 Фgl (5 ФgЗ gives a position from the main line of diagram 67) ФdЗ (an extraordinary move which leaves Black 14 moves from victory, exactly the same as in the initial position; 5..We5 and 5...Ж15 are much better) 6 Eg3+ Фе2 7 Hg2+ Фе1 8 Eg3 #h6 9 ®g2 (9 Ef3 was more resilient) Фе2 10
Queen v rook 59 i’gl Wh4 11 i’g? Wh6 (the win of diagram 65 still eludes Black) 12 *gl Ш 13 *g2 (13 ФЫ was a slight improvement) Wh4 (finally, after much fumbling about. Black hits on an effective move) 14 Eh3 (White collapses instantly; 14 Ea3 would still have given Black some- thing to think about) We4+ 15 ФgЗ ФеЗ 0-1. The next part of the chapter covers the ‘third-rank defence’, character- ized by diagram 78 below. If you don’t study any other position in this chapter, then you should at least look at this one. In the above positions, a strong player could probably calcu- late the win over-the-board, but in di- agram 78 you need to know the winning method. Moreover, the de- fence is quite easy for Black to play, because he just shuffles his rook up and down the third rank, so if you don’t know what to do then you will probably be stuck. (78): 1 W4. This is the paradoxi- cal move which provides the key to success. Moving the queen away from its dominating position is so unexpected that you just have to know it. To be sure, there are other winning methods, but all of them re- quire at least one counter-intuitive move, so why not get it over with at the beginning? After 1 W4 the anal- ysis runs: 1) l...’4)d7 2 1B,a4+ (the point of White’s play is that his queen can switch sides with gain of tempo) Фс7 (2...Фс8 3 Фс5 Bb7 4 Wa8+ Фс7 5 WeS transposes to the main line of diagram 67) 3 Wa7+ Bb7 4 Wc5+ (the third-rank defence has been broken and Black has been reduced to a rather feeble second- rank defence) ФЬ8 (4..^d8 5 Феб Ebl 6 Wg5+ Фс7 7 WeS-t- wins the rook) 5 Фч16 Bh7 (or f7 or g7 - it makes no difference) 6 WeS (6 W'd4 is one move quicker, but this is sim- pler) Bc7 (6...Фа7 7 Феб Bb7 8 Wal-t- ФЬ8 9 WaS is Philidor’s posi- tion; 6...Фа8 and 6...Bb7 are also met by 7 Феб with similar play) 7 We8+ Bc8 (7...ФЬ7 8 Wb5+ Фс8 9 Wa5 wins) 8 Wb5+ Фа7 (8...Фа8 9 Фd7) 9 Фd7 Bb8 10 Wa5+ ФЬ7 11 WeS winning just as after 1 W'd4 in diagram 64. 2) 1...Фс8 2 Фс5 Еаб (2...ФЬ7 3 Wf7+ Фаб 4 Wd7 Bb8 5 Wa4+ ФЬ7 6 Wb5+ Фа7 7 W5+ ФЬ7 8 Wb6+ Фс8 9 Wc6+ and 10 Фd6) 3 We4 Фс7 (3...Ba3 4 Wc4 Фd7 5 ФЬ4 Eg3 6 Ж15+ Фс8 7 ^сб-Ь wins the rook) 4 We7+ ФЬ8 5 ФЬ5 Ea7 6 W8+ ФЬ7 7 Ж14 with the same po- sition from diagram 64 that arose in line 1.
60 Secrets of Pawnless Endings 79 80 /- (79): Shifting the rook from b6 to a6 is a small change, but it signifi- cantly simplifies the winning pro- cess. In this case 1 Фс5 Фс8 (1...ЕаЗ 2 ФЬб ЕеЗ 3 Ж15+ Фе8 4 Wh5+ *d7 5 1ЙЪ5+ Ф(18 6 Wg5+ Не7 7 Феб wins) 2 We7 ФЬ8 (2...ЕаЗ 3 ФЬб ЕЬЗ+ 4 Фа7 wins after 4...Ed3 5 Wc5+ Фd8 6 Wg5+ Фс7 7 Wa5+ or 4...ЕЫ 5 'йкеб-ь picking up the rook in a couple of moves) 3 ФЬ5 Ba7 4 Wd8+ ФЬ7 5 Wd4 with the win from diagram 64 which we have already referred to in the previous di- agram. These two positions provide the necessary information to break the third-rank defence, whatever the ini- tial situation. (80): In this relatively unfavour- able case, suppose that Black is to play. In the event of l...Bc6 2 Фс15 Еаб 3 W7 Bb6 we reach diagram 78, while l...Bb5+ 2 Фd6 Eb6+ 3 Фс15 Фе8 4 Wcl Bf6 5 Фе5 leads to diagram 78 after 5...Bg6, diagram 79 after 5...Bh6 or diagram 67 after 5...Ef7 (switching to the second-rank defence) 6 Wb8+ Фd7 (6...Фе7 7 Wc8 is also diagram 67). Knowing about the third-rank de- fence allows us to tackle a wider range of positions. 81 +/- (81): After 1 Фс5 White threatens 2 Феб, which would lead to Phili- dor’s position. Black’s main defences are: 1) 1..Лс7+ 2 Фd6 ФЬ8 (2...Eb7 3 Wa5+ ФЬ8 4 Феб is Philidor’s po- sition) 3 We5 wins as in diagram 73 after 8 Ж15.
queen v Rook 61 2) 1..ЛЬ6 2 Wd4 with the same position as after 3 We5 in line 1. 3) 1...ФЬ8 2 Wd8+Фа7 3 Феб is Philidor’s position. 4) l..JZg7 (l...Eh7 2 Wa2+ wins the rook) 2 Феб Eg6+ (2...Eb7 3 Wd8 is... yes, you guessed it) 3 Фс7 Eg7+ 4 Фс8 wins. 5) 1„ЛЬ2 2 Феб Ec2+ (2...Eb7 3 Wd8) 3 Фd7 and Black cannot save his rook. The position is somewhat harder when Black is to move, but it is worth giving detailed analysis be- cause the ideas are so typical: 1) 1..Лс7 (Black switches to a third-rank defence) 2 Фе5 ФЬб 3 Фd6 Ec8 (after 3...Eb7 White wins by 4 Wd3, which is exactly analo- gous to the move 1 We5 in diagram 64, for example 4...Фа7 5 Wd4+ ФЬ8 6 Феб Фа8 7 Wai+ФЬ8 8 Wa5, with Philidor’s position) 4 Wb3+ Фа5 (4...Фаб 5 Wb4 is diagram 79) 5 Фс15 is diagram 78. 2) 1...ФЬ6 2 Wd6+Фа7 (2...ФЬ5 3 Фс15 is diagram 72) 3 Фс5 trans- poses to line 1 of diagram 78. 3) 1...Фаб 2 Wc6+ Фа7 (2...Eb6 3 Wa8+ ФЬ5 4 Фd5 ФЬ4 5 Wa7 is diagram 67 with White to play) 3 Фс5 ФЬ8 (З...ЕЬ2 4 Wa4+ ФЬ7 5 We4+ Фа7 6 Феб Eb7 7 Wa4+ ФЬ8 8 Wa5 and 3...Eg7 4 Wa4+ ФЬ7 5 We4+ Фа7 6 Феб Eb7 7 Wa4+ both lead to Philidor’s position) 4 We4 Фс8 5 Феб winning as in diagram 71. 4) 1...ФЬ8 2 Фс5 Фс8 (2...Фс7 is diagram 71) 3 Wg8+ Фd7 4 Wa8 Дс7+ (4...Фс7 5 We8) 5 ФЬб Ec8 6 Wb7+ Фd8 7 Wf7 wins. 5) l..JIg7 2 Фс5 Ec7+ is line 1 with Black to play. 6) l...Eb8 2 Фс5 Ec8+ 3 ФЬ5 Ec7 (3...Hb8+ 4 Фа5 Ebl 5 Wd4+ ФЬ8 6 Фаб) 4 Фа5 Eh7 5 Wd4+ ФЬ8 6 We5+ Фа7 7 We3+ ФЬ8 8 Wg3+ ФЬ7 9 Wg2+ Фа7 10 Wgl+ winning the rook with an attractive staircase manoeuvre. We now look at the third-rank de- fence in practice. И И И И 82 -/ Seirawan - Kir.Georgiev Dubai OL 1986 (82): This is a 15-move win, so it rates a ‘medium’ on the scale of diffi- culty. After 1 Ef6+ Фg5 (inaccurate; the correct way to break down White’s defence was by 1 ...Фе5 2 Есб Wg4+ 3 Eg6 Wh4 when 4 ФП Wh7+ 5 Eg7 Wf5+ 6 Фg8 transposes to dia- gram 81, while 4 Ea6 Wd8 5 Eg6 ФГ5 6 ФЬ7 Wh4+ 7 Eh6 We7+ 8 Фg8 Фg5 is a familiar manoeuvre) 2 Ee6 Wh4 3 Ee5+ (unnecessarily abandoning the third rank; 3 Ed6 would have maintained the defence for the moment, when the position
62 Secrets of pawnless Endings would be a 16-move win) ФГ4 4 Ee8 (4 Неб ФГ5 breaks White’s defence immediately) Wg5+ 5 ФТ7 Ф45 (an- other slight inaccuracy, which allows White to restore his defence; 5...W5+ 6 i’g? i’gS was obvious and best) 6 Ef8 (6 Неб or 6 He7 was slightly more resilient) Wg6+ 7 Фе7+ Фе5 8 Hf7 WgS (now Black is on track, since we have arrived at dia- gram 68) 9 Hfl We6+ 10 Фf8 Wc8+ 11 Фg7 Wg4+ 12 Ф?8 Феб 13 Hf7 Wh5 0-1. 83 /- Salov - Short Barcelona World Cup 1989 (83): A difficult position, requir- ing 20 moves to win. The game con- tinued 1...Фе7 2 Wg3 Ef6 (Black settles immediately into the third- rank defence) 3 ^4 Неб 4 Wg7+ Фе8 5 Фd5 Eb6 6 Wc7 Eg6 (in- stead 6...Eh6 7 Фе5 Eg6 was the most accurate defence, leading ex- actly into diagram 78) 7 Фе5 ФГ8 (7...Eh6 is diagram 79) 8 Фf5 Hg7 (thanks to Black’s inferior sixth move, the third-rank defence has been broken without any special ef- fort by White; 8...Eh6 9 Ж17 would lose more quickly, as in diagram 79) 9 Wd8+ Ф47 10 Wh8 (10 Ж14 trans- poses into the analysis of diagram 71, but Salov’s move is also good) Eg2 11 WfS-l- (11 Ж14 is one move faster) Фg8 12 Феб Egl 13 Ф^б Eg7 14 Wa8+ ФЬ7 15 We8 (Philidor) Ea7 16 Wh5+ Фg8 17 Wg4+ (17 Ж15+ was faster, but this is good enough) ФЬ7 18 Wh3+ Фg8 19 Wg3+ ФЬ7 20 Wh2+ Фg8 21 Wb8+ ФЬ7 22 Wxa7+ ФЬ8 23 Wg7 mate. An excellent display of technique by Salov, but it would have been in- teresting to see how he would have met the tougher defence 6...Eh6. 84 /- Kamsky - Ljubojevic Linares 1993 (84): This is a relatively simple position, requiring just 12 moves in order to win, but Kamsky soon runs into difficulties. After l...Eel+ 2 Ф?6 Efl+ 3 Фg6 Egl+ 4 ФЬб Eel Black’s rook is disconnected from his king and White could win by 5
Queen v Rook 63 >15+ *f8 6 >5+ Фе8 (6...*g8 7 ig5 wins аЛег7...ФЬ7 8 >2+ &g8 9 >4+ or 7...He8 8 *f6 Bf8+ 9 *g6) 7 *g7 *d7 8 >5+ Фс8 9 >4+ *d7 10 >g4+ *d8 (or else 11 >4+) 11 >h4+ picking up the rook. But Kamsky played the infe- rior 5 >g4+ (this costs six moves) ФП (but Black returns four at once! 5...Ф1Б was best) 6 >4+ (and this costs a further eight moves; 6 >h5+ Фg8 7 >15+ would still have won as above) Be6+ 7 Фg5 Фе7 8 Фf5 Eh6 (Black has set up the standard third- rank defence) 9 >7+ Фе8 10 >4 (an odd-looking move, which costs four more moves; 10 Фе5 reaches di- agram 78) Bc6 11 >4 Фd7 12 Фе5 Фс7 13 >7+ Фс8 (once again an inaccurate choice prevents us seeing whether a top grandmaster can find the win of diagram 78; 13..^d8 was correct) 14 Фс15 (White is now 12 moves from victory, just as he was in the initial position) Sh6 15 >g7 Ba6 16 >7 (White makes the win un- necessarily complicated; 16 Фс5 Фd8 17 >7 is quickest, transposing to diagram 79) Ba2 (a good defence; Black abandons the third-rank de- fence and tries the diagonal motif, because after 16...Bb6 17 Фс5 he would have to leave the third rank in any case) 17 >8+ (17 >5+ Фd7 18 >4 was the fastest route to vic- tory, but it is quite complex, for ex- ample 18...Bd2+ 19 Фс5 Фе7 20 «Ъ4+ Фd7 21 >17+ Фе8 22 Феб Sd8 23 Фс7 or 18...Bg2 19 >4 Ea2 20 Фс5 Ba5+ 21 ФЬ4 Eg5 22 Фс4 and Black is in a painful zugzwang) Фс7 18 >6+ Фd8 19 >4 (here this is ineffective, because Black can set up a reasonable second-rank defence) Eh2 (an unfortunate error, which loses forthwith; after 19...fla7 White would still be 14 moves from victory, two more than in the start- ing position) 20 >14 (this costs White six moves; 20 >4 wins after 2O...Eg2 21 Фс5 and the rook goes, or 2O...Ba2 21 Фс5 with a similar outcome) Eh6 (loses instantly; after 2O...Eh7 White would still be 11 moves from victory) 21 Фс5+ Фс8 22>g4+ 1-0. 85 /- Korchnoi - Kasparov London Ct (6) 1983 (85): Another position in the diffi- cult category, requiring 21 moves to win. The game continued 1 Ee6+ Фf5 2 Bd6 >7+ 3 Фd8 (unneces- sarily passive, since the defender should not retreat to the back rank unless this is really forced; 3 Феб >4+ 4 Фс7 Фе5 5 Eg6 >7+ 6 Фd8 >7 7 Ваб would have led to the same conclusion, but two moves slower) Фе5 4 Bg6 >5+ (4...>f7 5
64 Secrets of Pawnless Endings Баб Ф<15 6 Eb6 would have led di- rectly to diagram 78) 5 i’d? ^4+ 6 Фе? (yet again, poor defence allows a relatively easy win; we saw in dia- gram 78 that the key strategy for the attacker is to switch his queen from one side to the other with gain of tempo, and 6 Фс7 would have pre- vented this) Wh4+ (of course; now it is easy) 7 ФТ8 Ж18+ (7...Ф15 was three moves faster) 8 ФТ7 ФТ5 9 Eh6 Ж17+ 0-1 because 10 i’gS i’gS 11 Bh7 We8+ 12 Фg7 We4 is diagram 64. In all these practical examples, poor defence relieved the attacker of the task of finding the win in diagram 78. This supports the theory that even a small amount of knowledge (diagrams 78 and 79) might be enough to confuse the opponent. Now we move on to the early stages of the winning process. Just as there are second-rank and third-rank defences, so Black can try to set up a fourth-rank defence. Readers will be pleased to know that it is rela- tively easy to break down this de- fence. (86): I have chosen this starting position, because it contains a kind of trap. If White plays the obvious 1 <4)d4, then Black can use the diago- nal motif and play l...Eal. White should avoid this defence if at all possible, because once Black threat- ens checks from two different direc- tions, the attacker is normally forced to play very accurately in order to get back on the winning track. In this case not only does 1 li>d4 lose a move for White, but after l...Eal he 86 +/ has to find the difficult sequence 2 Wf7+ i’db 3 Wb3 (covering dl and a4) Фе7 4 Wc3 Ea6 5 Wc7+ *f6 6 Ж18+ (6 Ф<15 allows a second diago- nal motif with 6...Ea2) followed by 7 Фе5, before Black can be forced back into a third-rank defence. It is much better to avoid this altogether and play 1 W7+ with two possibili- ties: 1) l...*d8 2 We6 Фс7 3 *d3 (when the king arrives on b4, Black’s rook will have to abandon the fourth rank; note that White avoids 3 <4)d4 Eal, which creates extra practical problems) Bc5 (3...Ba4 4 'Hel+ ФЬб 5 Ж16+ ФЬ5 6 Ш5+ Фаб 7 Wc5 Ea5 8 Wc6+ Фа7 9 Фс4 Ea2 is a sort of mini-diagonal motif, but here White wins by 10 W6 Ea5 11 ФЬ4 Еаб 12 Wd4+ followed by ФЬ5) 4 Фd4 Ecl (4...Ec6 5 Bj7+ ФЬ6 6 Фс15 moves into the third- rank defence) 5 We3 Ec6 (5...Bdl+ 6 Фс5 Ed7 is the second-rank de- fence) 6 ^7+ ФЬб 7 Фс15 and we have arrived at the third-rank de- fence.
Queen v Rook 65 2) 1...Ф<16 2 We8 (covering a4) Фс7 (2...Фс5 3 We5+ ФЬб 4 Wd6+ ФЬ7 5 ФдЗ, heading for b4, wins as in line 1, while 2...Bc5 3 W'dS-t- Феб 4 Фd4 Bb5 5 Wc8+ ФЬб 6 Фс4 Фа7 7 Ж17+ Bb7 8 Ж14+ ФЬ8 9 Фс5 is already the second-rank defence) 3 ^еб (the key idea is to force Black’s king one file to the left and play White’s king to b4; then Black’s rook will have no safe square on the fourth rank and will have to move away) Eb5 (3...Bc5 4 Фd4 is line 1) 4 Фd4 (this is the trickiest moment, because Black can use the diagonal motif, but White could hardly avoid this be- cause 4 Ф<13 is met by 4...Ebl) Eb2 (the threat was 5 Фс4, and 4...Bb6 5 We7+ Феб 6 Фс4 Bb7 7 Bj6+ reaches the second-rank defence) 5 ФеЗ (the diagonal motif is only ef- fective when Black’s rook is at least three squares away from White’s king; here the distance is too short and White easily forces Black back) Bb7 6 Фс4 Фd8 7 Wg8+ Фd7 8 Фс5 Ec7+ 9 Фс15 transposing to diagram 67 (with White to play). We may summarize the winning process thus: 1) White activates his king and tries to drive Black’s king to the edge of the board. 2) If Black sets up a fourth-rank defence, then White breaks it using diagram 86. Black will have to fall back to a third-rank or second-rank defence. 3) If Black sets up a third-rank defence, then White uses diagrams 78 and 79 to destroy it. 4) Finally, Black will be forced to retreat to the second rank. Then White wins using diagrams 64-71, leading almost inevitably to Phili- dor’s position (diagram 63). Conversely, the defender should try to force White through all the var- ious stages of the wining process, and in particular oblige him to find the win in diagram 78. One of the most common mistakes in practice is for the defender to set up a perfectly good third- or fourth-rank defence and then give it up for no valid rea- son. There are two things that White should avoid (and conversely, that Black should aim for). Firstly, stalemate. If White over- looks a stalemate possibility, the worst that can happen is an immedi- ate draw, but even if this isn’t possi- ble, the winning process can be set back by several moves. 87 +/ (87): White to play can win in 13 moves by 1 W'd3 4- Фс8 2Ж:4+ ФЬ8 (2...Ec7 3 Wa4 ФЬ7 4 Wb5+ Фа7 5 <S?d6 also wins quickly) 3 Фd6 Ea6+
66 Secrets of pawnless Endings 4 Ф<17 Ba7+ 5 Ф<18 Eb7 6 Wc5 and so on, but it is a mistake to be tempted by 1 Wc6, because after l...Be7+ 2 <£>f6 (2 <4>d6? Be6+! is a draw) Bf7+ White has to play 3 ^g6 and start the winning process again from an ear- lier stage. This error would set White back 10 moves. Similar errors can occur when Black’s king is in the comer, al- though these are generally less seri- ous, costing just two or three moves. The second main error is to allow the diagonal motif unnecessarily (see diagram 86 for an example). Now we will examine a few prac- tical examples of the whole winning process. 88 /- Gheorghiu - Bisguier Buenos Aires 1970 (88): This position needs 18 moves to win, so it has medium difficulty. The game continued l...Ec5+ 2 ^4 Ec4+ (not the most effective move, because it chases White’s king into a more active position; since Black al- ready has a reasonable fourth-rank defence, he should have attempted to centralize his king by 2...Ф^6) 3 Фе5 Bc5+ 4 Феб Eg5 (Black settles in- stead for the less effective second- rank defence) 5 We4 Bg6+ 6 ФГ5 Ef6+ 7 Фё5 Ef7 8 IfeS (White has arrived at diagram 65 with relatively little effort) Ef8 (8...Efl and 8...Ea7 are the most resilient) 9 W'g6-t- ФЬ8 10 ФЬб (not the fastest, but this method is fully adequate) Bf7 11 We4 (this is line 3 of diagram 65) Bf6+ 12 Фg5 Bf7 13 Фg6 Bg7+ 14 ФЬб 1-0. 89 -/ O’Donnell - Hurelbator Novi Sad OL 1990 (89): The most difficult practical example in this chapter, needing 27 moves to win, close to the theoretical maximum of 31. Play continued 1 Bf4+ Фё3 2 Ec4 We3+ 3 Ф<15 ФГЗ 4 Ed4 Wb3+ (the first non-optimal move by either player, costing an in- significant one move) 5 Фе5 Wb2 6 Фс15 Wb5+ 7 Фd6 ФеЗ 8 Ed5 Wb4+ 9 Феб Wc4 10 Фd6 Фе4 (this is the first non-optimal move wasting more
Queen v Rook 67 than a single move; lO—WcS is two moves quicker, although this is far from obvious) 11 Ee5+ Ф<14 12 Eg5 ^абч-13 Фе7 (White has settled into a fourth-rank defence) Фе4 14 Bh5 Wc6 (the play up to this point has been reasonably accurate, but now the standard drops) 15 Bh4+ (as so often in practical examples, the weaker side abandons a good defen- sive position for no reason; 15 Bg5 would have been the second-best de- fence, but the best of all would have been to play 15 Bhl, using the diago- nal motif, exactly as given in dia- gram 86) si?f5 (White’s rook has become disconnected from his king, so he is unable to set up any reason- able defensive position) 16 Bh3 Wc7+ 17 Фе8 *g6 18 Bd3 Wc6+ (a serious error, which costs an enor- mous 12 moves; Black can easily pick up the rook with a series of checks, for example 18...^5+ 19 4>d8 Ш5+ 20 Фе7 Wg5+ 21 Фе8 Wb5+ 22 Bd7 *f6) 19 *d8 (return- ing the compliment; 19 Ed7 was cor- rect, putting the win up to 17 moves; perhaps both sides had overlooked that 19 Ed7 ФЛ> 20 i’dS Феб is pre- cisely the stalemate situation of dia- gram 87) ФТб (the same mistake again; 19..>a8+ 20 *d7 Wa4+ 21 *d8 Wa5+ 22 Фе7 Wg5+ 23 Фе8 Wb5+ wins as before) 20 Ed7 (this time White takes his chance) WcS (relatively the best) 21 Eh7 (a blun- der leading to an instant disaster; 21 Bc7 was best) Wa5+ (of course) 22 Вс7Фе6 0-1. The final practical example fea- tures fairly accurate play. Stefansson - Ka.Miiller Altensteig 1992 (90): This rates a ‘hard’. White needs 22 moves to win with best play. The game went on 1 1B,b4+ Ф<15 2 *g4 Bf6 3 We7 (this costs four moves; after 3 ^bS-t- i’dfi 4 *g5 Веб 5 *f5 Be 7 6 Wb6+ *d7 7 ФТ6 Фс8 8 ^аб-ь Bb7 9 Феб we are well into the second-rank defence) Веб 4 Wb7+ Фd4 5 Wd7+ Фе5 6 Фg5 (setting White back again, this time by 3 moves; 6 Wb5+ Фd4 7 Фf5 ЕеЗ 8 Wb4+ ФdЗ 9 Фf4 is the same as in the previous note, but with Black being chased down the board rather than up) Ed6 7 Wel+ Фd5 8 Фf5 (although White’s play is not optimal, it is systematic and much more accurate than in some of the other practical examples) Ec6 9 Wd7+ Фс5 10 Фе5 ФЬб (Black de- cides on the third-rank defence) 11 Ж14+ ФЬ7 (an error which costs five moves; if Black has the choice between having his king on the edge or having his king in a comer, he should definitely choose the edge.
68 Secrets of Pawnless Endings thus 11...ФЬ5 was best) 12 Ф<15 Дс7 13 Wb4+ Фс8 (Black is already in a second-rank defence) 14 Wb5 (14 Ш4 Sd7+ 15 Феб Sc7+ 16 Фd6 ФЬ8 17 We8+ Sc8 18 Wb5+ Фа7 19 Фd7 wins more quickly) Hh7 15 We8+ ФЬ7 16 Фс5 Hc7+ 17 ФЬ5 (this is diagram 65 with White to play) Фа7 18 We4 (an excellent move) ДЬ7+ 19 Феб Фа8 20 WeS-t- Фа7 21 Ш8 (Philidor) Sbl 22 We7+ (22 Wd4+ is faster) ФЬ8 23 Wf8+ Фа7 24 Wf2+ ФЬ8 25 Wh2+ Фа7 26 Wa2+ ФЬ8 27 Wxb 1+Фс8 28 Wb7+ Фd8 29 Wd7 mate. We end with a few circumstances in which the side with the rook can draw, usually through a combination of perpetual check and stalemate. First of all we consider the situa- tion in which White’s queen is on f7 and Black’s king is on h8. Under what conditions can Black draw if it is his turn to move? (91): Black to move can draw by simply checking up and down the g- file. White cannot capture the rook on the squares gl-g6, either with his king or his queen. If White’s king ventures to die seventh rank, then ...Sg7 pins the queen. Where else can Black’s rook start in order to draw? If Black’s rook can start checking on the first rank, then White has no escape. However, these are the only situations in which Black can draw. If, for example, the rook starts on e5 then the position is lost after l...He3+ 2 ФЬ4 Пе4+ 3 Фс5 He5+ 4 Фd6 and the checks come to an end, whereupon White can win in the normal way. These results also apply to other white king positions in diagram 91. Berger, 1889 (92): Black to play draws by checking on the g- and h-files. If the king moves to the f-file there is a pin, while if the king advances to h5 and g6 Black will be able to force stale- mate with ...Bh6+. The same draw (but without the stalemate) works if White’s queen starts on fl, f2, f3 or f4, but with the queen on f5 White is
Queen v Rook 69 able to win by advancing his king to h6. (93): This is perhaps the most sur- prising drawing possibility. Black can give perpetual check from f7, g7 and h7. The rook cannot be taken on h7 because of stalemate, nor can White’s king advance to g5 and f6 because of ...Bg6+. Since the e-file is also out of bounds, there is no es- cape. The last position, of course, is the longest win in the ending of W v Д, together with an optimal line of play. 94 +/ (94): 1 ФЬ7 He7+ 2 Феб Де6+ 3 *d7 Se7+ 4 *d8 Se4 5 Wd5 Se5 6 Wf3+ Sf5 7 Wb3 Фе5 8 Фе7 Sf4 9 We6+ *d4 10 *d6 Se4 11 Wb3 He3 12 Wd5+ ФсЗ 13 Фс5 fld3 14 Wg5 Фс2 15 Wg2+ Фdl (White must break the third-rank defence) 16 Фс4 ДеЗ 17 Фd4 НаЗ 18 Wfl+ Ф<12 19 Wf2+ Фс1 20 We2 ДЬЗ 21 Фс4 ДЬ2 22 Wfl+ Фd2 23 Wai Дс2+ 24 ФЬЗ Дс1 25 Wb2+ Фdl 26 Wf2 Пс8 27 Wf5 Hcl 28 ФЬ2 Дс7 29 Wf3+ Ф<12 30 Wf4+ and 31 Wxc7. Not the most exciting chapter, but useful for over-the-board players.
4 Queen and Knight v Queen The ending of queen and knight against queen has not been at the forefront of endgame theory; it very rarely occurs in practice and as the overwhelming majority of positions are drawn there are few interesting practical examples. Nevertheless, as we shall see below, it does turn up occasionally, particularly from knight and pawn endings in which both sides promote. On the other hand, study composers have devoted a lot of energy to finding winning v W positions. In the early 20th century, Rinck and Troitsky produced many interesting studies, although without any great complexity. The Dutch composer C.Mann created some ambitious compositions, but al- though he produced some complex analysis which was later vindicated by the computer, many of his efforts were unsound. More recently Vandiest has un- covered ideas overlooked by earlier composers. Chekhover also deserves spe- cial mention because he wrote an article for Shakhmaty v SSSR in 1962 which contained several interesting positions. In the weeks I have been using the 'ЙЧ-Ф v W database I have uncovered many astonishing new ideas. It turns out that over a hundred years of human analysis have left many secrets in this end- ing and there are numerous winning positions which have remained hidden until brought to light by the machine. In the main part of this chapter we analyse some of the many endgame stud- ies based on 'ЙЧ-Ф v №. Most such studies involve a limited range of ideas, so we concentrate on those which have some attractive features. Certain motifs recur time and time again in these studies, so I will attempt to provide a rough classification using them, although inevitably there is some overlap. The first five sections below deal with these study themes. In the second main part of the chapter, I will give all 38 reciprocal zugzwangs with this material. Al- though some are straightforward, many are astonishingly complex. This is section 4.6. In the third and final part of the chapter, I will give some of the more complex positions which I discovered while I was working with the da- tabase. 4.1: The unguarded pivot 71 4.2: The staircase 75 4.3: Stalemate avoidance 76 4.4: Zugzwang 81 4.5: Quiet moves and other themes 82 4.6: The 38 reciprocal zugzwangs 97 4.7: Complex examples 110
Queen and Knight v Queen 71 4.1: The unguarded pivot The first theme is that of the un- guarded pivot. The following study clarifies the idea. 95 Chekhover, 1945 14th USSR Ch. Bulletin (95): In this case the knight on e4 is the pivot around which the white queen can turn, all the time checking Black’s king. Although it is un- guarded it may not be captured be- cause it lies on the same diagonal as Black’s queen. The solution runs 1 Ж:5+! <S?d3 2 Wc3+! Фе2 3 Ж12+! *f3 4 Wf2+! *g4 5 Wg3+! *f5 6 2kl6+! *f6 7 2te8+! *f5 8 2ig7+! *f6 9 Wf4+ and mates. White gives five checks using the pivot, three of them offer- ing the knight. In the following study there is some interesting introductory play before the pivot appears: (96): 1 2>c4! Wb5+ (l..>el 2 Wd4+ Фе2 3 We3+) 2 ФеЗ! Фе2 3 Wh2+! *f3 4 Ste5+! Фе4 5 Wg2+! 96 +/ Schaffgotsch, 1908 Deutsche Schachzeitung Фf5 6 WgG+l '444 7 W'g4-t-! winning the queen or mating. The Soviet endgame analyst and composer Chekhover produced a number of studies with a pivot. Here are two more: 97 +/ Chekhover, 1962 Shakhmaty v SSSR (97): 1 2>b3+! *dl (or 1...Фс2 2 2kl4+! *d3 3 Wb3+ *d2 4 Wc2+ ФеЗ 5 1B,e2+ winning using the
72 Secrets of Pawnless Endings pivot) 2 Wg4+! Фе1 (2...Фс2 3 ®d4+! wins after З...Фс1 4 W4+ ФЫ 5 ^64+ with a quick mate or З...ФЬ2 4 We2+ ФаЗ 5 Wd3+ Фа2 6 Wb3+) 3 Wgl+! Фе2 4 2kl4+! ФдЗ 5 Wd 1+! Фе4 6 ^(3+! with the usual fate for Black’s queen. 98 +/ Chekhover, 1962 Shakhmaty v SSSR (98): 1 Ste5+! ФеЗ (1..ФТ5 2 Wi3+! ф£4 3 W3+! Фё5 4 Wg4+ is similar) 2 Bj1+! Ф44 3 Wf2+! Фg5 4 Wg3+ wins. The composer Vandiest has pro- duced a large number of '!&+£> v W studies. Here he uses the pivot, first at long range and later at short range. It is a neat touch that the initial 'ЙЧ-Ф battery doesn’t actually fire. (99): 1 Wcl+! Фе4 (1...ФГ5 2 W1+ Феб 3 Wa6+ transposes to the main line) 2 Wel+! Фс15 (similarly 2...Фf5 3 W1+ leads to the same thing) 3 Wa5+! Феб (3..^d4/e4 4 Wb4+ Фс15 5 Wc4+ transposes) 4 Ш6+! Ф» 5 W6+! Фе4 6 Wh4+! (White must take some care because 99 +/ Vandiest, 1949 Volksgazet the tempting 6 W3+ Фd4 allows Black to escape; the move played uses the point that 6...ФеЗ loses to 7 Wel+ to keep Black’s king out of both d4 and еЗ) Фс15 7 Wc4+! Фd6 8 ^f7+! Фd7 (after 8...Фе7 White may transpose by 9 1B,e4+ Фd7 10 Ж14+, but there is another win by 9 Ж:7+ Феб 10 Ж16+ as in the main line) 9 Ж14+! Феб 10 Ж16+! Фf5 11 W6+! Фg4 12 Ste5+! Фё3 13 W3+! and mates. In the following study Vandiest combines the pivot with a quiet move by White. We shall often see such combinations of the main themes in the remainder of the chap- ter. (100): 1 W8+! Феб 2 Wf7+! Фd6 3 Wd7+! Фс5 4 Wc6+! Фd4 (or 4...ФЬ4 5 2kl3+ ФЬЗ 6 Ж15+ Фс2 7 &Ь4+! Фс1 8 Wc4+ ФЬ2 9 2kl3+ ФЫ 10 Wb3+ and mate) 5 Фf4! Wa2 6 2>f3+! ФdЗ 7 21el+! Фd4 8 £te2+! Ф(13 9 £lb4+ winning the queen.
Queen and Knight v Queen 73 100 +/ Vandiest, 1952 (end of study) Although the next study does not feature a pivot, it belongs here be- cause it forms the basis of the two succeeding studies. 101 Neistadt, 1926 Shakhmaty (101): 1 2кЗ+! ФЬ4 (1...Фс5 2 «d5+ differs only in being one move faster) 2 Wb3+ (or 2 «e4+, when 2...Фс5 is forced because 2...ФаЗ 3 «е7+ leads to mate) Фс5 3 «d5+! ФЬб 4 «d8+! Фаб 5 «а8+! ФЬб 6 £>а4+! ФЬ5 7 Wd5+! Фаб 8 5)с5+! ФЬб 9 2к17+! Фаб 10 Wa8+! ФЬ5 11 «Ь7+! Фс4 12 Wb3+! mating next move. In 1962 Chekhover published an elaboration of Neistadt’s composi- tion in which he added the pivot ele- ment: Chekhover, 1962 Shakhmaty v SSSR (102): The first two moves set up the pivot. 1 Wh2+! Фв5 2 «е5+! Фв6 Or 2...ФЬ4 3 Wf4+ ФЬЗ 4 «f3+ mating. 3 «115+! фв7 4 «h7+! Ф« 5 «g8+! Фе7 6 £>d5+! Ф07 7 £ib<>+! Фе7 The alternative 7...Фс7 8 «с4+ Фd6 9 «d5+ (now we are in Nei- stadt’s study) Фе7 10 «g5+ Фе8 11 «g8+ Фе7 12 £>c8+ transposes to the main line. However as this holds
74 Secrets of Pawnless Endings out four moves longer we may ask why Chekhover did not give this as the main line. The answer may be that there is a minor dual after 7,..Фс7 (White may play either 8 Фс4+ or 8 ФТ7+ Феб 9 Фс4+) and Chekhover wanted his main line to be absolutely free of alternative White moves. The finish of the study is 8 £>c8+! Фd7 9 Ф<15+! Фе8 10 £ri6+! Фе7 11 &f5+! Фе8 12 ®g8+! *d7 13 ФТ7+! Феб 14 ФЬ7+! Фс5 15 Wb5 mate. Producing a study with 15 consec- utive accurate White moves is no mean achievement with this mate- rial. There is a curious sequel to Chekh- over’s composition. Kabiev, 1974 4th Pr., Hdskriftfor Schack (103): Kabiev’s solution runs 1 Ж15+! ФЬ4 2 Wb5+ ФаЗ 3 Фа4+! and then as in Chekhover’s study. For changing the first two moves Kabiev was awarded fourth prize, but curiously enough Kabiev’s version is inferior because it introduces the dual 2 Ф14+ which did not exist in Chekhover’s original. This finish arises in many other studies. Here is a recent example which adds an initial quiet move and some complicated secondary varia- tions. 104 +/ Smit, 1981 Schackend Nederland (104): The first move is spectacu- lar. 1 ФеЗ! Фа4 White’s first move threatens Фе2+ so Black must move his queen. The other lines are: 1) l...Wb5 2 Ш+! Фс15 (2...ФсЗ 3 Фс1+) 3 Ж14+! Феб 4 Ж16+! ФГ7 5 ?к5+! followed by mate. 2) 1...Фа8 (this square appears dreadful, but winning still requires accurate play) 2 ^е5+! ФЬ4 (or 2...ФЬ5 3 Wb3+) 3 Фе1+! with three possibilities: 2a) З...Фс5 4 ФсЗ+ ФЬ5 5 Wb3+. 2b) З...ФЬЗ 4 ФЫ+! ФеЗ 5 Ж13+! ФЬ4 6 5кб+! Фа4 (6...Фс5 7
Queen and Knight v queen 75 Wd4+ ФЬ5 8 Wb4+ mates) 7 fdl+ ФЬ5 8 Ш5+. 2c) З...ФЬ5 4 We2+ ФЬ4 5 Wb2+ Фс5 6 Wc3+. 3) l...®al 2 We6+! Фс5 (White wins after 2...'4>d3 3 £lb4+! I4>d2 4 Ж15+! Фс1 5 Ж:4+ and now 5...'4>d2 6 Wd3+ or 5...ФЬ2 6 2kl3+) 3 Wf5+ (faster and simpler than the com- poser’s 3 Шб+) Фс4 4 £1а5+ ФЬ4 5 1B,e4+ and now 5...ФЬ5 6 ^4+ Фха5 7 Wc5+ or 5...ФаЗ 6 Wd3+ ФЬ2 7 &c4+. 2 ®d4+! ФЬЗ Or 2...ФЬ5 3 2>a7+ Фа5 4 Wb6 mate. The rest is standard: 3 Wdl+J ФаЗ 4 ®al+! ФЬЗ 5 £\a5+! ФЬ4 6 Ш4+! ФаЗ 7 5k4+! ФЬЗ 8 21d2+! ФаЗ 9 ®al+! ФЬ4 10 Wb2+! Фс5 111Ъ6+! Фd5 12 Wd6 mate. 4.2: The staircase The second basic theme is the stair- case, which is shown in the follow- ing study. Most studies purporting to show the staircase theme are un- sound because of a possibility over- looked by at least two composers. (105): 1 Wh8+! Фg2 2 2>f4+! Фgl 3 £te2+! Фg2 4 Wa8+! ФЬ2 (the basic staircase position is set up and the white queen can approach along a zigzag path) 5 Wb8+! Фg2 6 Wb7+! ФЬ2 7 Wc7+! Фё2 8 Wc6+! ФЬ2 9 td6+ (what could be more natural than repeating the same idea to bring the queen to e4, when the knight can join in the attack? The queen’s movements must have had a hypnotic effect on composers and 105 +/ Reichhelm, 1904 Lasker’s Chess Magazine solvers alike, because all missed the simple win 9 Wh6+ Фg2 10 £lf4+! Фgl 11 Wb6+ picking up Black’s queen) Фg2 10 Ш5+ ФЬ2 11 We5+ Фё2 12 We4+ ФЬ2 13 Wh4+ Фё2 14 2if4+ Фgl 15 Wel+ Ф112 16 W2+ and mate next move. For some reason Galushko was awarded an Honourable Mention in a recent study tourney for modifying the first move of Reichhelm’s com- position. (106): In view of the identical po- sition readers will deduce that it has the same flaw: 1 £ld3+! ФЫ 2 Wh 1+! Фа2 3 2>b4+! ФЬ2 4 W18+! ФЫ 5 W7+! ФЬ2 6 Wg7+! ФЫ 7 Wg6+! ФЬ2 8 Ш6+! ФЫ 9 Wf5+ (missing the same quicker win by 9 W1+ ФЬ2 10 2kl3+ Фа2 11 Wf7+) ФЬ2 10 Bj5+ ФЫ 11 We4+ ФЬ2 12 Wd4+ ФЫ 13 Wdl+ ФЬ2 14 2kl3+ Фа2 15 Wa4+ ФЫ 16 Wb3+ and mate. It is time for a more or less correct staircase study:
76 Secrets of Pawnless Endings 106 +/ Galushko, 1985 HM, Bimov Memorial Tny. It is curious that Horwitz and Kling found a valid setting for the staircase idea whereas later compos- ers did not. However, the alternative win at move eight is unfortunate and it seems that a perfect setting for this theme remains to be discovered. 4.3: Stalemate avoidance The third theme is stalemate avoid- ance. Typically Black offers his queen, but immediate capture leads to stalemate. White has to give fur- ther checks, aiming for a better op- portunity to take the queen. Here is an early example: 107 +/ Kling and Horwitz, 1851 Chess Studies and Endgames (107): 1 Wal+! Wa5 2 W1+! Фа7 3 W2+! Фаб 4 We2+! Фа7 5 We3+! Фаб 6 ШЗ+! Фа7 7 Wd4+! Фаб 8 Ж:4+ (as given by Kling and Hor- witz; they overlooked a quicker win by 8 Феб Ж18 9 Ш1+ Wa5 10 Ш1+ Фа7 11 Wf7+) Фа7 9 £>Ь5+ Фаб 10 Wc6+ Wb6 11 2k7+ Фа5 12 Ш8+ ФЬ4 13 £id5+ and wins. 108 Dehler, 1908 Akademisches Monatsschrift fur Schach (108): 1 &c6+! Фf5 (1...Фе4 2 We3+ and 1...Ф<15 2 Wb3+! trans- pose) 2 Wf2+! Фе4 3 We3+! (spum- ing the queen for the moment) Фс15 4 Wb3+! Фе4 5 Ж13+! (second refus- al) ФГ4 6 We3+! Фf5 7 Wf3+! Фg6 (or 7...Феб 8 £ki8+) 8 £le5+ and
Queen and Knight v Queen 77 now the queen can be safely cap- tured. Moving the position up a rank turns it into a draw because the move 8 4)d8+ is now off the board. This observation is the basis of the follow- ing White to play and draw study: 109 Bmn, 1926 2ndHM, USSR All-Union Ch. (109): 1 f7 (1 4)f2 £>xf6 2 4kl3+ ФсЗ 3 4k 1 i>d2 wins after 4 4ff3+ Фб1 followed by ...4)g4-h2 or 4 2>g2 4)h5 5 *d4 4)f4 6 4)h4 *dl 7 4tf3 4ih3 and ...2>gl) 4k7 2 4)f2 (2 Фс4 elW 3 fSW Ж:3 mate) Фс2 (or ФеЗ) 3 4kl3 *xd3 4 *d6 elW (4...4k6 5 Фхеб elt+ 6 *f6 Wal+ 7 Фе7 Wg7 8 Фе8 We5+ 9 *d7 ®f6 10 Фе8 We6+ 11 *f8 Фе4 12 *g7 W'd7 13 ФЬ8! also leads to stale- mate, but not 13 <S?g8? sfcfS 14 f8W-t- i’gb and Black wins) 5 f8W Wb4+ 6 Фе5! Wd4+ 7 *f5! W2+ 8 Фе5! and Black cannot make progress. Rinck produced a number of studies with this theme, but most of them were less sophisticated than Dehler’s prototype and contained only one refusal. 110 Rinck, 1909 Revue Suisse des Echecs (110): The solution runs 1 Whl+I *g4 2 Wg2+! *f5 3 We4+! <4>f6 (3..^g5 4 4k6+) 4 4k8+ and wins. The following study is Rinck’s best achievement in this area and contains two refusals. Ill +/ Rinck, 1925 Basler Nachrichten
78 Secrets of Pawnless Endings (111): 1 2>b4+! Фс4 (l...*d2 2 We3+ *dl 3 We2+ Фс1 4 2id3+ mates) 2 Wcl+! *d4 3 Wd2+! Фс4 4 Wc2+! *d4 5 We4+! ФеЗ (5...Фс5 6 &a6+) 6 £id5+ and wins. In 1926 Dehler discovered a new stalemate avoidance position featur- ing significantly more complex play than in other studies with this theme. Dehler’s position was W^ffi^eS, £>b6 v ВФЬ4,'ИЪ7, and the solution starts with 11ЙЪ2+. In 1955 Diez del Corral found a slightly better setting, adding one move and an interesting side variation. This single move earned him a 3rd Prize: Diez del Corral, 1955 3rd Pr„ Schach-Echo (112): The solution runs 1 Wal+! Not 1 £te4+? Фа2 with a draw. 1 ... ФЬ4 The side-variation after 1...ФЬЗ also features stalemate avoidance: 2 Wbl+! ФаЗ 3 ?k4+! Фа4 4 Ш2+ ФЬ4 5 Wb2+! Фа4 6 Wa3+! ФЬ5 7 £к16+. 2 Wb2+! Now, on the other hand, 2 Wbl+? is wrong and leads to stalemate after 2...Фс5! 3 £>a4+ *d6! 4 Wxb7. 2 ... Фс5 2... Фа5 3 ?k4+! Фа4 4 Wa3+! wins as in the note to Black’s first move. 3 &a4+! Фдб After З...Ф’с6 4 Ж:3+ Фс15 (the continuations 4...ФЬ5 51ЙЪЗ+! Феб 6 Wc4+! Фd6 7 Wc5+ and 4..^d6 5 Wc5+ Фd7 6 £>b6+ transpose to the main line) 5 Ж13+! Феб 6 1B,c4+! Фd6 7 Wc5+! Фd7 8 2>b6+! we have reached the main line, but two moves more slowly. Strictly speaking this variation should perhaps be the prin- cipal line, but it is understandable that the composer wanted to em- phasize Black’s queen sacrifice. 4 ®e5+! Феб 5 Wc5+! Фд7 6 ftb6+! Фе8 After 6,.^d8 White should trans- pose to the main line by 7 Wd6+! (7 W8+? Фс7 8 £>a8+ Феб is bad be- cause White’s king prevents Wf8- f3+). 7 We5+! White must take care because 7 We3+? Фd8 (7...Ф1В also draws) 8 W'd4-t- Фс7 9 £id5+ Феб is only a draw. 7 ... Фае White neatly refutes 7...Ф18 by 8 2kl7+! Wxd7 9 Wb8+ We810 Wb4+ Фg8 11 Wg4+. 8 td6+! Фе8 9 ®еб+! Фд8 10 Wg8+! Фс7 11 &a8+! Фдб
QUEEN AND KNIGHT V QUEEN 79 ll...*d7 (11...Феб 12 Wg2+) 12 Wg7+! Фс8 13 W8+! *d7 14 Bj7+! finishes Black off. The conclusion is 12 Wg3+! Фс5 (12...*d7 13 Wg7+ or 12...Феб 13 W3+) 13 Wc3+! Фдб (13...ФЬ5 14 Wb3+ Феб 15 ШЗ+) 14 We5+ (14 Wa3+ leads to the same conclusion) Ф<Г7 15 We7+ Фс8 (15...Фсб 16 We4+) 16 ®e8 mate. In the following study White twice refuses to capture the queen. eventually arrive at the same posi- tion: 8 Ж17+ (the alternative 8 WcT+ Фg6 9 Wb6+ ФП 10 Wb7+ Фg6 11 1B,e4+ leads to the same basic posi- tion) Фg6 9 Ж13+ (or 9 ^еб-»-) ФЬб 10 We3+ Фg6 11 We4+ ФЬб 12 W4+ (or Wh4+) Фё6 13 W6+ ФЬ5 14 2>g7+ Фg4 15 W3+ Фg5 16 £ie6+! ФЬб 17 ^ЬЗ-ь and wins. Vandiest had the idea of combin- ing stalemate avoidance with the pivot: 113 Sackmann, 1909 Akademisches Monatsschrift fur Schach (113): 1 2>d6+! Фd8 (or 1...Ф18 2 Wa8+ Фg7 3 21e8+!, when З..ФЯ7 4 Wb7+ Фg6 5 1B,e4+ and З...ФЬ6 4 Whl+! Фg6 5 We4+ ФЬб 6 Wh4+ lead into the main line of the study) 2 Wa8+! Фd7 3 Wb7+! Фd8 4 Wc8+! Фе7 5 Wc7+! ФГ8 6 Wd8+! Фg7 7 3)e8+! ФТ7 (other moves let White gain time, for example 7...ФЬ6 8 Wh4+ or 7..^g6 8 Wfe+l and from tills point on White has a number of possible winning paths, although all 114 +/ Vandiest, 1978 Schakend Nederland (114): 1 d7 e2 2 d8W elW 3 Wg5+! Ф17 4 W5+! Фе7 (or Фе8) 5 Wf8+! Фd7 6 Wd8+! Феб 7 Wc7+! Фс15 (7...ФЬ5 8 2kl4+! Фаб 9 Wc6+! leads to a quick mate) 8 £rf4+! Фd4 9 Ж16+ (White can also play 9 Wb6+ Фс4 10 Wc6/b3+ Фd4 11 Ж15+ transposing to the main line) Фс4 10 Wd5+ ФеЗ 11 Wc5+! (not 11 Wa5+? Фd4! when 12 Wxel is stalemate, whilst otherwise White cannot return to a winning position) Фd2 12 ФЬ2! (avoiding a second
80 Secrets of Pawnless Endings stalemate after 12 Ж14+? Фс2! 13 ШЗ+ Фс1 14 £«2+ Wxe2 15 Wxe2) Wgl (a rather frivolous third stale- mate) 13 Wc3+ followed by mate. Mann composed a study based on an interesting stalemate avoidance, but unfortunately he didn’t make the most of his idea. (115): Mann’s solution runs 1 We4+ *g5 2 Wg2+ *f5 3 2>g3+ *g6 (or 3...*f6 4 £«4+ ФГ7 5 2kl6+ *f8 6 W3+ and now 6...Фе7 7 2>f5+ *d7 8 Wb7+ or 6...*g7 7 2>f5+ ФЬ8 8 Ш5+ Wh7 9 We8+ Wg8 10 We5+ ФЬ7 11 Wh2+ *g6 12 2te7+ and wins in both cases) 4 2>f5+ ФЬ5 5 Wh3+ *g5 6 Wg3+ ФЬ5 7 Wh4+ i>g6 8 2>e7+ and wins. There are two problems with this study. The minor problem is that White may play 1 Ж:2+ instead of 1 We4+, which also forces l...'4’g5. The second problem is more serious. Mann wanted a second stalemate avoidance after 3...<d?g6, but White can play 4 2ie4+ instead of 4 2f5+. Then 4...ФТ7 is forced, and White can win exactly as after З...Ф^6. This dual destroys the second stalemate avoidance and much of the value of the study. Almost 40 years later Bron found a much more satisfactory setting for Mann’s idea: 116 Bron, 1951 Shakhmaty v SSSR (116): After 1 Ш+ *d3 2 Wxf5+ Фс4 3 W7+! ФЬ4 4 Wb7+ Фс4 5 2b6+ ФсЗ (Bron also gave the spu- rious stalemate avoidance variation 5...ФЬЗ 6 2k4+ Фа4 - the tempta- tion seems to have been too much for composers!) the solution runs as in Mann’s study. However, the addition of a pawn simply to provide the initial two checks is unfortunate. Perhaps the best solution is to take Mann’s posi- tion and move White’s queen to f2 and Black’s king to e6, when the solution runs 1 Wa2+! Ф15 2 Wc2+! Фg5 and so on.
Queen and Knight v Queen 81 4.4: Zugzwang The fourth and last of the major themes is zugzwang. Remember that in this book we distinguish between two types of zugzwang. The first is what over-the-board players normally mean by zugzwang, i.e. a position in which Black to move is forced to weaken his position. That is not to say that White to move cannot win, indeed he can usually do so by losing a tempo in some way. The second type of zugzwang is what we call re- ciprocal zugzwang; in the case of W+Ф v W this means that the posi- tion is lost with Black to move but drawn with White to move. Positions of reciprocal zugzwang are often very interesting. In the ending of 'ЙЧ-Ф v W there are 38 positions of recipro- cal zugzwang. So far as I know Rinck was the only composer to dis- cover any of these positions. Rinck was certainly aware that the two po- sitions he discovered were true re- ciprocal zugzwangs, even though the fact that the positions are drawn with White to move plays no part in his studies. (117): The solution is 1 £le5+! Фе8 2 ФЬ8! (this is a position of re- ciprocal zugzwang, given as zz26 on page 106; other king moves allow Black to draw by checking on h7 and thenb7) Wh7 3 We6+! *f8 (3..>e7 4 Wc6+ *f8 5 &g6+) 4 2kl7+! *g7 5 Wf6+ *g8 6 Ш mate. (118): This study runs 1 likc7+! Фа8 2 Wa5+! ФЬ7 3 2k5+! ФЬ8 4 #b6f! Фс8 5 Wb7+! *d8 6 *d2! and we have reached zz5 on page 97. 117 +/ Rinck, 1937 Basler Nachrichten 118 Rinck, 1917 1st Pr„ L’Eco Degli Scacchi It would be more artistic if White had a ‘try’ in which he ends up at the critical position with himself to play, and therefore only draws. This would emphasize that the zugzwang is re- ciprocal. Ruszczynski has composed two studies, based on Rinck’s zug- zwang, in which this happens. This is the better of the two:
82 Secrets of Pawnless Endings 119 +/ Ruszczynski, 1976 Comm., L’Italia Scacchistica 120 +/ Heller, 1873 Osterreichische Schachzeitung (119): 1 JLa4 *d2 2 JLxb3 i.b6+ 3 Фс8! (here is the thematic try; if White plays 3 Фд7?, then later on he lacks a waiting move) ФеЗ 4 £ki5+ ФхЬЗ 5 £lxb6 e3 6 a7 e2 7 a8W elW 8 Ш4+!ФЬ29?к4+!ФЬ1 1О1ЪЗ+! Фс1 11Wb2+! *dl 12 *d7! and we have reached zz5 on page 97 with Black to move. 4.5: Quiet moves and other themes Having dealt with the four major themes, we now move on to other ideas. Some studies are nothing more than a boring series of checks, so we will concentrate on more appealing compositions. The following study is one of the oldest in this chapter. (120): The solution is 1 £te7+! Фе5 2 Bj8+! *f5 3 Wh5+! Фе4 4 1ЙГЬ7+! and wins. Alternatives lose Black’s queen even more quickly. The change of sides by the white queen is undeniably attractive. The geometry continues in the next study in which the white queen visits three comers of the board. 121 Rumiantsev, 1984 2nd Comm., Shakhmaty v SSSR (121): 1 еб+ Фе7 2 £ih6 Wa8 (af- ter 2...'i&d8, 3 g8^H- Фе8 4 £lf5 cre- ates decisive threats) 3 <4)g6 WxdS 4 2>f5+ Фхеб 5 g8W+ Фе5 6 Wh8+! Фе4 (6...ФТ4 7 Wh2+ Фе4 8 We2+ mates) 7 Whl+! Фе5 8 Ш1+! Феб
Queen and Knight v queen 83 (after 8...*f4 9 Wcl+ Фе5 10 Wb2+ or 10 Wc3+ Black is forced to play 1О...Фе6, or 8...Фе49 Wel-t^d3 10 Wdl+ Фе4 11 We2+ followed by mate) 9 Wf6+! *d7 10 Wg7+! *d8 11 We7+! Фс8 12 2>d6+! ФЬ8 13 Wd8+ Фа7 14 ?к8+ Фаб 15 Wb6 mate. Unfortunately this fine study ap- pears to be unsound, although the al- ternative solution is also interesting. The move 3 i’gfi appears natural, be- cause White avoids the check when Black takes on d5. But 3 i’g5 is also good after 3...Wxd5+ (3...Wd8 4 2>f5+ Фе 8+ 5 *g6) 4 2>f5+ Фхеб 5 g8W+ Фе5 6 We8+! We6 7 Wb8+ Фе4 (7...Фс15 loses a move) 8Wbl+! Фс15 (8...Фе5 9Wb2+ will transpose to the main line) 9 Wb5+ Фе4 10 We2+ Фс15 11 Wd2+ Фе4 (11...Фс5 12 Wa5+) 12 Wd4+ ФfЗ 13 Wf4+ Фg2 14 £te3+ and mates. Interesting play can result when there is a white queen and king bat- tery, because in this case White need not be so fearful of Black’s queen checks. (122): White has two ways to form the battery, but only one leads to a win. 1 Wh8! Not 1 Wg7? Wb6+! 2 ФеЗ ФЫ! 3 Wh7 Фа2! 4 2>b4+ (4 Wf7+ ФаЗ! is also drawn) ФаЗ, while after 1 Wa8+ Wa2 2 Whl+ Wbl 3 Wc6 Wb3 (ECE says ‘only move’ here, but 3...Wc2 is also a draw) 4 Wc5 ФЫ 5 Wa5 ECE gives a complicated draw by playing 5...Фс2, but it is simpler to continue 5...Wa4+. 1 ... Фа2 122 +/ Makarev, 1969 Shakhmatny Byulleten Curiously enough ECE makes no mention of the defence 1...Wb7, even though White must then con- tinue accurately by 2 We5! and now: 1) 2...Фа2 3 Wa5+! ФЫ 4 Wel+! Фа2 5 2>b4+ ФЬЗ 6 Wdl+! wins the queen. 2) 2...Wb6+ 3 ФеЗ (3 Фс4+ is also good) Фа2 4 Wd5+ Фа1 5 Wa8+ ФЫ 6 Whl+ followed by 2>b4+. 3) 2...ФЫ 3 Wel-ь! Фа2 4£>Ь4+ as in line 1. 4) 2...Wg2 3 ФеЗ (by far the quickest, but 3 Wa5+ ФЫ 4 Wb6+ followed by ФеЗ also wins) Wa2 4 ФЬ4+ ФЫ 5 Wel+! Фс2 6 We2+ and mates. 2 Wa8+! ФЬЗ 3 Wd5+! Фс2 Or З...Фа4 4 ФеЗ Wb6 5 £>Ь2+ ФаЗ 6 Wa8+ with mate. After З...Фс2 Makarev gives 4 Wc5+ Фd2 (or 4..Фч11 5 ФеЗ Wai 6 2>f2+ Фе1 7 Wb4+ ФП 8 Wc4+ Фgl 9 Wg4+ winning) 5 Wa5+ Фе2
84 Secrets of Pawnless Endings 6 Wh5+ *d2 7 Wh2+ *dl 8 £>b2+ Фс1 9 ФсЗ and mates, but there is a faster win by 4 Wc6+ ФЬЗ (4.^dl 5 ФеЗ and 4...Ф<12 5 Wg2+ Фdl 6 5k2+ Фс1 7 ФсЗ are no better) 5 5k 1+ФаЗ 6 W3+ Фа4 7 Wa8+ and 8 Wb7+. Eleven years later Vandiest pub- lished a version of this study, adding four extra moves at the start, includ- ing a stalemate defence, but giving up the try 1 Wg7? of Makarev’s study. Readers may judge for them- selves whether this addition was worth an Honourable Mention. 124 +/ Joseph, 1978 EG50 123 +/ Vandiest, 1980 4th HM, Armenia Jubilee Tny. (123): 1 5k8+! ФЬ7 2 5kl6+! Фа8 3 Wal+! Wa7 4 Wh8+! Wb8 5 «hl! and now everything is as in Makarev. Occasionally a composer comes up with a new idea which makes one wonder why nobody had thought of it before. The following study, which features a wide-ranging tour by White’s queen, is one such case: (124): 1 Wg2+! Wb7 2 «g8+! Фа7 3 Wgl+! Фа8 4 Wal+! Wa7 5 «hl+! Wb7 6 «h8+! Фа7 7 Wal+! Wa6 8 Wgl+ (or 8 Wd4+ Фа8 9 Wh8+) Фа8 9 Wg8+! winning the queen. Studies in which White plays quiet (i.e. non-checking) moves have an undeniable attraction and so have always been popular with compos- ers. We take some time to look at a selection of studies featuring quiet moves. (125): White wins by: 1 «e7! A neat winning move. Checks only serve to drive Black’s king to safety, so White first restricts the king’s mo- bility. Black has no checks and he must deal with the threat of 2 We3+ Фс15 3 «с5+. 1 ... Wh8 l... «f5 2 «а7+! Ф<13 3 «еЗ+! is an easy win, but there are two other reasonable moves. After l...«h2, Chdron and ECE give a fairly lengthy
QUEEN AND KNIGHT V QUEEN 85 125 +/ Kleindinst, 1913 La Strategic win starting with 2 'йкеЗч- <S?d5 3 ФЬ5, but 2 Ж17+ Фе4 3 £k!2+ is far quicker as it picks up the queen im- mediately. This leaves l...Wh6, when White does need to play a quiet king move: l...Wh62We5+!*d3 3*b3! Wcl 4 £ib2+. 2 Wd7+ All sources give this inaccurate move, which simply loses a tempo. White can reach the main line one move more quickly by 2 We3+ Ф<15 3fB+. 2 ... Фе4 3 Wg4+ ф<15 4 Wf3+ Феб 5 We4+! ФГ7 Black is mated after 5..^d7 6 Фс7 7 Wc6+. After 5...Фf7 White wins by 6 £>d6+! Фй7 7 ®e5+ фв8 8 ®e8+ ФЬ7 9 Wh5+ Ф87 10 ЗД5+ Фв8 11 We8+ ФЬ712 Wf7+ and mates next move. Although the first move of Klein- dinst’s study is noteworthy, the remaining moves are brutal checks and there are a number of alternative continuations. 126 Rinck, 1914 Deutsche Schachzeitung (126): Just as in the previous study White starts with a quiet move, although it comes as little surprise since the knight has to be brought into the attack if White is to win. 1 4V5! ®a2 The main alternative is l.-.^aS, when White wins by 2 £ki7+! Фе8 3 2tf6+! ФГ8 4 Шб+! ФТ7 5 Wd7+! ФГ8 6 €3d5! Wa3 (or 6..>e8 7 Ш6+ Фё7 8 Wf6+ ФЬ7 9 Wh6+ Фg8 10 £lf6+) 7 Ж:7 (other winning methods exist, but this is the quick- est) Фg8 8 2>f6+ Ф^ 9 Ж18+ and mates. 2 2Я7+! Фg7 Other moves go down more rap- idly, for example 2...Фе8 3 £rf6+! Ф18 4 Wd8+ Фg7 5 £>h5+ ФП 6 Wd7+ ФТ8 7 Wg7+ Фе8 8 2>f6+ or 2...Фе7 3 Фе8 4 Wd7+ ФТ8 5 2>g6+ Фй8 6 Ш+.
86 Secrets of Pawnless Endings 3 £>e5+! *g8 White mates after З...ФТ8 4 £lg6+ *g8 5 Ж18+ <4>f7 6 We7+. 4 ®c8+ 4 Wb8+ amounts to the same thing, but not 4 Ж18+ which loses time because the white queen must end up on b7 in order to control the key square f3. 4 5 Wb7+ *g7 *g8 6 ФТ6! Wf2+ 7 «М3! Wg3 8 ®c8+ ФЬ7 9 2>gS+ and White wins the queen. In this particularly fine study, Rinck manages a total of three quiet moves and there are no significant dual continuations. When I checked Rinck’s studies against the database, I found that his analysis holds up un- usually well. One of the few detect- able flaws lies in the following study: 127 ' +/ Rinck, 1905 Deutsche Schachzeitung (127): 1 Wb3+! Фе4 2 Фе2! *f4 3 W3+! (3 ^еЗ-ь is one move slower) <S?g5 4 W5+! ФЬ4 5 £>g6+! i’gS 6 W3+ (the flaw is that White has alternative wins here, for exam- ple 6 W4+ ФЬЗ 7 £ie5, although Rinck’s move is the fastest) ФЬ2 7 We7 (7...*gl 8 Wg3+) 8 ФП! and wins. That other great early 20th-century composer, Troitsky, fared less well, however, since he frequently over- looked alternative wins. Here is one case: 128 +/ Troitsky, 1924 500 Endspielstudien (128): White’s only chance to win is with a knight move, and the choice of square is forced in order to be ready to meet Black’s queen checks. 1 &e6! ®cl Troitsky’s main line. There are two minor alternatives in 1...Wb5 2 «М4+ ФЬ4 3 Wi3+ and l„>h7+ 2 £lg7+ ФИ6 3 ФТ6. That leaves 1 ...Wb4+ when Troitsky gives 2 ФТ7
Queen and Knight v queen 87 Wg4 3 Wh2+ Wh4 4 We5+ *g4 5 W4+ ФЬЗ 6 £lg5+. As a point of accuracy 2 ФГ6 is faster, e.g. 2...Wg4 3 5)g7+! ФЬ4 4 &f5+ or 2..>c3+ 3 <±>f7! We3 (Black no longer has ,.>g4) 4 2»g7+!. 2 Wh3+ White has another winning move, which is in fact one move faster, namely 2 Wg3! ФЬб 3 Wh4+ trans- posing to the main line. 2 ... *g6 and after 3 1B,g4+ ФЬб 4 Wh4+ 4>g6 5 £>f4+ *f5 6 Wh7+ *g4 7 1П15+ the queen falls. The quiet move has more impact if it arrives after a preliminary series of checks, as in these two studies. 129 +/ Troitsky, 1910 Shakhmatnoe Obozrenie (129): The Troitsky solution is 1 We7+! *g6 2 2rf8+! *f5 3 W7+! £f4 4Wd3! winning. (130): Chekhover’s study runs 1 Wc8+! ФЬ7 (1...ФГ7 2 21h8+ Фе7 3 Wc7+ wins) 2 2if8+! ФЬ8 3 ^e6+! Wg8 4Wc3+! ФЬ7 5 W6! and wins. 130 +/ Chekhover, 1962 Shakhmaty v SSSH Chekhover uses a similar mecha- nism in the next composition, but here W6 doesn’t end the struggle as Black can survive temporarily by means of a queen check. 131 Chekhover, 1962 Shakhmaty v SSSH (131): 1 Wh3+! W7 2 Wc3+! *g8 3 W6! W7+ 4 ФП! ФЬ7 5 1ЙГЬ4+! Фg6 (5..^g8 is also met by £ie7+) 6 Ste7+! Фf7 7 Wh5+! ФГ8
88 Secrets of Pawnless Endings 8 Wh8+! *f7 9 Wg8+! *f6 10 Wg6+! Фе5 И £кб+ and Black fi- nally loses his queen. In the next study White’s quiet move is well-hidden, since it isn’t immediately clear why the queen is better placed on a5 than on b6. 132 +/ Rinck, 1909 150 Fins de Partie (132): 1 2kl3+! ФаЗ 2 Wa7+! ФЬЗ 3 Wb6+! Фс4 4 Ж5! Wf8 (4...Wb7 5 Wc5+! ФЬЗ 6 Wc3+ Фа4 7 ?k5+ and 4..>h8 5 Wc5+ ФЬЗ 6 Wb4+ Фа2 7 £kl+ are no better) 5 Ш4+! Фс15 6 2if4+! Фе5 7 2>g6+ winning the queen. (133): We take the position after the introductory play. 1 2>g3! This move creates various threats, for example 2 £lf5+ Фg6 3 W6+ ФЬ5 4 Wh6+. 1 ... Wgl The alternatives are 1 ...ФЬ7 2 £ih5 ФЬб (2..>gl 3 2if6+! Фg7 4 2>g4+ Фё6 5 W6+ ФЬ5 6 Wh6+) 3 £tf4! ФЬ7 (most other moves are met by 4 133 Graetzer, 1959 (end of study) Magyar Sakkelet Wh5+ or 4 W6+, except for S.-.Wgl which loses to 4 Wh8+) 4 Wf5+ ФЬ8 5 Wf8+ followed by mate, l..^?g6 2 Wf6+ ФЬ7 3 4ie4 Фg8 (or else the threats of 4 5)g5+ and 4 Фf8 decide the game) 4 Wgfi-l- followed by mate, or finally l...1Skg4 2 Wh8+!. 2 Wh5+! Avoiding the trap 2 Wh8+ Фg6 3 WgS-b ФЬб and now White must return to the main fine by 4 Wh8+ Фg6 5 Wh5+ because the alternative 4 §)f5+? ФЬ5 would actually throw the win away. 2 ... Фg7 3 £>f5+! Фg8 4 Фе8! White threatens mate in five by 5 W7+ ФЬ8 6 Wf6+ Фё8 7 Ш+ ФЬ7 8 Wh6+ Фg8 9 21e7, and Black cannot defend against the threat without allowing mate by Wg5+ or Wgfi-l-. The following study is a very am- bitious attempt to show quiet moves in a W+Ф v ending. Although the
QUEEN AND KNIGHT V QUEEN 89 study is correct, the published solu- tion was riddled with errors. It turns out that the main line is even more attractive than that proposed by the composer, but in this case can one say that the study has been ‘com- posed’ at all? 134 Saren, 1968 4th Pl., Stella Polaris (134): 1 We8+! Ж18 2 We6+! ФЬ8 (not 2...Фс7 3 W7+ Феб 4 Wf3+ winning immediately) 3 Ж:6! Wg8+ 4 ФЬ4! Wg4+ 5 Фа5! Wc8 6 4)аб+! Фа7 7 5)c7! Wb7 (incredibly we have already seen four quiet moves by White and a queen sacri- fice by Black!) 8 Ж16 (White may invert the order of this move and the next, i.e. 8 ^Ь5+ ФЬ8 9 Ж16+, but this involves extra work since White must find a reply to 8 £1Ь5+ Фа8, so we prefer the line that gives Black flie least choice) ФЬ8 9 4Sb5+! Фа8. Up to this point the composer’s solu- tion is more or less accurate (he only overlooked the dual at move 8). Un- fortunately he now starts to lose the thread. White is aiming for a position with his queen on e6, Black’s queen on b8 and Black to move. This can be achieved most simply by 10 Ж18+ (there are other methods) Wb8 И Ш5+ Wb7 12 Wg8+ Wb8 13 We6 when Black is helpless. The fin- ish might be 13...Ш8 (13..>b7 14 ФЬ4! is the star line) 14 Фаб! ФЬ8 15 We5+ Фс8 16 Wc5+ Фd7 17 Wd6+. The position after 9...Фа8 arises again below (see zz22 on page 101) and we will look at it in more detail there. The remaining studies are perhaps less interesting. In each case White wins with a series of checks, and al- though he must be precise the play is often too brutal to be artistic. Rinck, 1904 Deutsche Schachzeitung (135): 1 Wb3+! ФГ4 (1...Фе2 2 Wb2+ Фе1 3 1ВТ2+ transposes to the main line) 2 1ЙЪ8+! Фg5 (2..^f5 3 Ш+! Феб 4 Bj8+! Ф?5 5 Wf7+! Фg5 6 W6+! ФЬ5 7 Wh6 mate) 3 Wd8+! Ф44 4 Ж16+! ФfЗ 5 Wg3+!
90 Secrets of Pawnless Endings Фе2 6 Wh2+! Фе1 7 Wf2+! *dl 8 2>e3+! Фс1 9 Wel+i ФЬ2 102kll+! winning the queen. 136 +/ Rinck, 1911 Deutsche Schachzeitung (136): 1 WeS+J (White spurns the discovered and double checks) <£)g5 (1.. .ФИ4 2 Wh8+ either transposes to the main line by 2...i>g5 3 ^7+ or loses more quickly after 2...<£^4 3 £ie3+, while l...&g4 loses after 2 Ste3+ *g5 3 Wg8+ *f4 4 W7+ *g5 5 Wg7+ *f4 6 Ш6+, although 2Ж17+ is also possible, transposing into the main line) 2 Wg8+ (2 Ж18+ £>g4 3 Ж17+ is another way to ap- proach the black king, but it takes one move longer) ФЬ4 3 ^117+ (3 Wh8+ is just as good) *g5 (the alter- native 3...'£>g4 4 ^еЗ-t- loses more quickly) 4 Wg7+! ФЬ4 5 Wh6-l-! *g4 6 Ste3+! *f3 7 1Ъ5+! ФТ2 8 ^2+! £?gl 9 Ж11+ with mate or win of the queen. The next two studies embody the same queen-winning manoeuvre by White. 137 +/ Prokei, 1941 (137): This is solved by 1 £te3+! Фе5 2 Wb5+! Феб 3 Bj8+! ФГ5 4 WcS+J, winning. The second position is similar hence we give it without a diagram: WФh7,Wh4,^f7, ВФ<15ЖЗ (Kor- ski, 2nd HM, Szachy, 1957), with the solution 1 Ж18+! Фс5 2 Wa5+! Фd4 3 ^7+! winning. As seems to have happened quite often with 'ЙЧ-Ф v W studies, the later version was given an award in a tourney, with composer, solvers and judge presumably unaware of the precursor. (138): 1 S)d4+! Фd7 2 Wh7+ Фс8 3 Wg8+ (or 3 Wf5+) ФЬ7 (or З...Фс7 4 £»е6+ ФЬ7 5 2k5+ Фа8 6 Ж15+ Фа7 7 1йга2+ and wins) 4 Wd5+ Фс7 (4...Фс8 5 We6+ wins the queen after 5...ФЬ7 6 Wc6-l- or transposes to the main line after 5...Фс7 6 Wf7+) 5 W7+! ФЬб (or 5...Фс8 6 We8+ Фс7 7 2>еб+ ФЬ7 8 £te5+ Фа8 9 ^сбч- mating) 61ЙЪЗ+! Фс7 7 21е6+! Фс8 8 Wc4+ (8 Wc3+ and 8 ^2+ are the same) Фd7
QUEEN AND KNIGHT V QUEEN 91 138 Chekhover, 1962 Shakhmaty v SSSR (8...ФЬ7 9 £>c5+! Фа8 10 Wd5+) 9 5k5+! Фе7 10 We6+ and White wins. 139 +/ Prokop, 1928 Narodni Listy (139): 1 £tel+! Фе2 2 Wg4+! ФеЗ (2...ФП 31ЪЗ+! *gl 4 2>f3+! ФГ2 5 Wh2+! Ф-fl 6 Wgl+ wins) 3 Wf3+! *d4 4 W4+! ФеЗ (4...Фс5 5 Qd3+! ФЬб 6 Wb8+!) 5 We3+! (not 5 We5+? ФЬЗ!) ФЬ2 (5...ФЬ4 is also met by 6 £ki3+!) 6 £ki3+! Фа1 7 Wgl-t- Wbl 8 Ж14+ with mate. In the next study the composer found a remarkably long sequence of absolutely forced White moves, end- ing with a neat knight sacrifice. 140 +/ Olympiev, 1978 Roycroft Jubilee (140): White continues 1 £f3+ Not 1 g7? b2 2 g8W blW nor 1 2>fl+ Фс1 2 g7 b2 3 g8W blW and in both cases the ending is only a draw. 1 ... ФеЗ Black has no choice because l...<3?dl 2 2kl4 Ь2 3 2>b5 Фс2 (or else £la3) 4 g7 and 1...ФеЗ (1...Ф<13 2 g7) 2 21e5 Фd4 3 2kl3 Фх<13 4 g7 are easy wins for White. 2 g7 b2 3 g8® bl'S 4 Wh8+! Not 4 Wg7+? Фс2! 5 Wg2+ ФеЗ! with a draw. 4 ... Фс2 5 Wh2+! ФеЗ
92 Secrets of Pawnless Endings 6 ®e5+! Фс2 6...ФЬ4 7 Wc5+! Фа4 8 W7+! picks up the queen. 7 2>d4+! Ф<12 Or 7„.*dl (7...ФсЗ 8 «3b5+! transposes to the main line after 8...ФЬЗ 9 We3+ or 8...ФЬ4 9 Wc5+) 8 We2+! Фс1 9 We3+ ФЬ2 10 Wb3+! Фа1 11 Wa3+ and mate. 8 ®g5+! ФсЗ 9 2>b5+! ФЬ2 9...ФЬЗ 10 We3+ and 9...ФЬ4 10 Wc5+! ФЬЗ 11 ЖЗ+ lead into the main line. After 9...ФЬ2 White wins by 10 ®e5+! ФЬЗ (1О...Фс1 11 Ш+) 11 We3+! ФЬ4 12 Wc5+! ФЬЗ 13 «аЗ+!Фс4(13...Фс2 14Wc3-^dl 15 Ж14+ Фс1 16 'йкеЗч- wins) 14 Wc3+! ФхЬ5 15 Wc6+! Фа5 16 Фа8+! and at last White picks up the queen. We have already met a number of flawed studies. In the next section we cover some studies which have been proved unsound by the data- base (although in many cases the database was hardly necessary). Nat- urally this section could be extended almost indefinitely so we content ourselves with a few interesting cases. (141): This study runs 1 Wg4+! ФdЗ 2 W5+! Фс4 3 £id2+ (unfortu- nately 3 £le3+ also wins, for exam- ple З...ФЬЗ 4 Wb5+ Фа2 5 Wa4+ ФЬ2 6 ?k4+ ФЫ 7 Ж11+) ФЬ4 4 'ЙЫ-ь! ФаЗ 5 Wa8+ (5 Wd3+ is one move shorter) ФЬ2 6 ^Зс4+ ФЫ 7 We4+ winning the queen. (142): The next case is more com- plex: 141 +/ Troitsky, 1908 (end of study) Deutsche Schachzeitung 142 +/ Troitsky, 1911 Niva 1 £л4+! Фс4 The best defence, since 1...Фс15 2 £>Ь6+ Фе4 3 Wf3+ wins the queen straight away. 2 Wc3+ Ф05 3 Wf3+ Troitsky unwisely commented that ‘of all checks available for White only this one leads to victory’, since
Queen and Knight v Queen 93 White has a speedier alternative win by 3 Wd3+ Феб (З...Феб 4 ?k5+! Фе7/17 5 Wh7+ wins the queen) 4 Wc4+! *d7 (4...ФЬ7 5 2k5+! Фа8 6 Wa2+ Wa7 7 Wd5+) 5 &c5+! with an easy win after 5...Фе7 6 We6+ or 5..^d8 6 Wg8+. 3 ... Феб З...Фс4 is met by 4 Wd3+. 4 £ic5+ Фе7 5 We4+ Фд8 Only slightly slower than 5...ФТ7 6Wh7+. 6 Wh4+ Фс8 7 Wh8+ Фс7 8 ^аб+ and wins. 143 Vandiest, 1986 Schakend Nederland (143): This study is in any case unsound at the very start because White can win by 1 We4+ Фgl 2 We3+ Фg2 3 Wf2+ ФЬЗ 4 Wf3+ ФЬ4 5 &e3 (threatening both 6 Wg4 mate and 6 £>g2+ Фg5 7 Wf4+) Wa2+ (5...Wgl 6 ftg2+ or 5...Wa4 6 Фвб) 6 ФГ6 Wai + (or Wb2+) 7 Фg6 and Black cannot meet the mating threats. This line is interesting be- cause it shows that the сб-pawn helps White by both blocking queen checks and preventing stalemate. If we follow Vandiest’s line we ar- rive at an interesting position after 1 We2 Wa7+ 2 Фg6 Wgl 3 Фё5 Wg2 4 Wel+ Wgl 5 We4+ Wg2 6 Wh7+ Фgl 7 Wbl+ Wfl 8 Wb6+ c5 9 Wxc5+ ФЫ. Now White has three distinct ways to win: 1) Do it with checks: 10 Wc6+ Wg2 11 Wh6+ Фgl 12 Wb6+! ФЫ 13 Wbl+! Wgl 14 We4(b7)+ Wg2 15 Wh7+ Фgl 16 Wbl+ Wfl 17 Wb6+! ФЫ 18 Wh6+. 2) White can save three moves over line 1 by starting with 10 Wc2 Wgl (10...Wg2 11 Wh7+) 11 We4+. 3) The fastest win of all is by 10 Wd5+ Wg2 11 Wd3 Фё1 (ll...Wg3 12 Wfl+) 12 Wbl+, and in this case White saves a total of four moves over line 1. 144 +/ Vandiest, 1990 ARVES
94 Secrets of Pawnless Endings (144): After a long period of look- ing at queens and knights, it is easy to become confused. This must have happened in diagrams 144-147. Af- ter 1 Wh8+! Wf8 2 Wh5+! *d8 3 Wdl+! Фс7, the composer gave 4 Wcl+ ФЬ7 5 Wc6+ Фа7 6 Wc7+ Фаб 7 Wa5+ ФЬ7 8 Wb5+ Фа7 9 £>c6+. Firstly, 6...Фаб is a mistake, because 7 mates at once, so Black should have played 6...Фа8, when 7 Wa5+ really is best. However, there is a much more fundamental defect, because White can play 4 Wd7+ ФЬб 5 Wb5+, saving three moves over the main line. 145 +/ Vandiest, 1990 ARVES (145): The composer’s idea was that 1 h8W elW and 1 &c4+ Фdl 2 Ste3+ Фd2 3 2tfl+ Фdl 4 h8W el W lead to drawn W+Ф v W positions, while 1 &e4+ ФеЗ 2 h8W elW 3 18116+ ФdЗ 4 Wa6+ leads to a long and complex win after another 17 moves. Unfortunately the composer’s ‘winning’ line is refuted by 3..^d4! with a draw, while 1 £te4+ Фdl 2 £le3+ (2 h8W also wins) Фd2 3 £lfl+ Фч11 4 h8W elW is an easy win after 5 Wai+! Фе2 6 Wa6+ Фdl 7 Wa4+! Фе2 8 Wc2+ and mate next move. Vandiest, 1970 EG (146): After 1 g6 h3 2 g7 h2 3 g8W h 1W we reach a position which closely resembles that of Kleindinst’s diagram 125 (page 85). The com- poser gave a win starting with 4 Wg4+ We4 5 Wdl+, but it turns out that White can win much more quickly without allowing the black queen out of the comer by 4 Wg7+ ФdЗ 5 Wd7+ (5 Wc3+ and 5 Wg3+ are also effective) Фе2 6 Wd2+! ФП 7 £»e3+ Фgl 8 Wel+ ФЬ2 9 Wh4+ Фgl 10Wg3+. (147): The composer gave a 16- move win starting with 1 ФЬ5+, even though 1 Wa8+ Wf8 2 Wd5+ ФЬ8 3 Whl+ wins at once. Moreover the same win is available at various points in the composer’s solution.
Queen and Knight v Queen 95 147 +/ Vandiest, 1965 Volksgazet Once in a while the cook is just as interesting as the actual solution, as in the following case. 148 +/ Mann, 1918 Groene Amsterdammer (148): The intended solution is 1 Wd3+ ФЬ4 2 5k6+! Фа4 3 Wc4+ ФаЗ 4 <2jd4! Wb8 5 2>b5+ (here there is another unintended win by 5 4k2+ ФЬ2 6 Ж14+ ФЬЗ 7 Ж13+ with mate or win of the queen) ФЬ2 6 Wb4+ and mate in two more moves. The alternative win is even more at- tractive and runs 1 Wc4+ ФЬ2 2 £k!3+! ФаЗ 3 Wc6! (abeautiful move, lifting the stalemate and threatening 4 Фс2) and now: 1) 3..>е7(3..>П+4Фс2«е2+ is the same) 4 Фс2 l&e2+ 5 ФсЗ! Wdl 6 Ш6+ Фа2 7 Wh2+ mates. 2) 3...Wb8 4 Фс1! Wb3 (4...W8 5 Фс2 or 4..>g8/h8 5 Wc5+) 5 Ш6+ Wa4 6 Ш6+! Фа2 7 Wh2+ wins. 3) 3...®g7/h8 4 Wc5+ ФЬЗ 5 Wb4+ Фа2 6 £tel+ mates. 4) З...ФЬ34£к5+ФЬ2(4,..ФЬ4 5 Wa4+ ФсЗ 6 Wb3+) 5 Wb5+ with mate or win of the queen. As I mentioned at the beginning, interesting game endings with v t are very rare. However, I did find one example. 149 +/ Lengyel - Levy Cienfuegos 1972 (149): I have reversed the colours (i.e. Levy had the queen and knight). Levy analysed this position in CHESS (May 1972), later correcting
96 Secrets of Pawnless Endings his analysis in the August 1972 issue of the magazine. However, even with this correction he missed many im- portant points. We follow the game continuation. 1 ®f4+! Феб Certainly not l...'4’g6 2 lead- ing to mate. 2 Wh6+? Throwing away the win. At first Levy thought that the position was a draw after any move, but later he and Dr. Aitken independently proved that 2 £te5+! is decisive. The shortest method is 2 £te5+! Фе7 3 1ЙЪ4+! ФП (З..ФМ6 4 Wg3+ Фе7 5 Wg7+) 4 Wh7+! ФТб 5 &e4+! Феб 6 Wg6+ Фе7 7 W6+ Фd7 8 W7+ Фс8 9 Wg8+ ФЬ7 10 ?к5+ Фа7 11 Wa2+ ФЬ8 121ЙЪ2+ picking up the queen. 2 ... Фд7? In his original analysis, Levy pro- posed that this move loses but 2...ФГ5 draws. Since he later proved that 2..^f5 3 W4+! is a win, he presumably then thought that 2 Wh6+? preserved the win, but lost time. In fact 2 Wh6+? throws away the win entirely because of the reply 2...Фе7!, not mentioned by Levy. The point is simple enough; Black prevents White’s knight entering the attack with check, and after 3 'HHg7+ Феб a knight check allows the king to slip out via f5, while 4 likg6+ Фе7 makes no progress. 3 Wg7+? The half-point continues to be passed back and forth. White could have won by 3 £te5+ (3 4ie5+ wins, but is much slower - see later on in the game) Фс7 4 Wh2+ ФЬб 5 £ld7+ ФЬ7 6 Wg2+ Фа7 7 Wa2+! ФЬ7 8 £te5+ ФЬ8 9 Wh2+, the same finish as after 2 £te5+ above. 3 ... Фс8? And again! Those who have read the note to Black’s 2nd move will have realized that З...Феб! draws. From this point on White is always winning, but to begin with Levy moves further away from his goal. 4 Wf8+ Losing six moves. 4 Wg8+ ФЬ7 5 ®c5+ Фа7 6 Ш2+ ФЬ8 7 Wh2+ would have won directly. 4 ... ФЬ7 5 2>c5+! Фа7 6 We7+ This extends the win by a further seven moves. 6 W7+ ФЬб 7 Wb3+ Фс7 8 Wg3+ ФЬб 9 2kl7+ ФЬ7 10 Wg2+ wins as in the note to White’s 3rd move. The remainder of the game was handled much more accurately by Levy: 6...ФЬ6 7 2>d7+! Фс7 8 £1е5+! ФЬ8 91Brd8+ (loses 1 move) ФЬ7 101Brd7+ ФЬб (loses 3 moves) 11 £)c4+ Фаб 12 l&d6+ (criticized by Levy, but actually it wins just as quickly as his recommended 12 Wa4+) ФЬ7131Brd7+ (Levy decides to repeat the position, having seen a winning line after 13...Фаб 14 Wa4+; 13 Ш5+ and 13 Wb4+ are two moves faster, but it is the win which is important, not the odd move or two) ФЬ8 (making it easy) 14 ®d8+ ФЬ715 ^d6+ Фа7 16 ®a5+ ФЬ8 17 Wb6+ and Black resigned. This ending is interesting because it shows that the best moves are not necessarily obvious to a player of IM
QUEEN AND KNIGHT V QUEEN 97 strength, even in situations where the win requires nothing more than a se- ries of checks. 4.6: The 38 reciprocal zugzwangs We now move on to the new discov- eries made with the aid of the com- puter. I mentioned earlier that there are 38 positions of reciprocal zug- zwang in the ending of 'ЙЧ-Ф v ; we saw two of them earlier in the Rinck studies, and we will now look at all 38. It turns out that many of the resulting variations arise frequently in the analysis of general v W positions, so these 38 positions form a library of pre-analysed positions, greatly simplifying later work. Here are the 38 positions, with the number of moves needed to win when Black is to move. I will give the Black to move analysis of all the non-trivial positions. I have classified similar positions together to emphasize the patterns which exist amongst the 38 positions. Having said that, there are many po- sitions unrelated to any other. (150): In zzl, the black queen must stay on the 7th rank to defend d7, so we have (...Wc? 2 We6+, l...We7 2 Wc4+ Wc7 3 Bj6+ or l...Wh7 2 £lf7 (there are other win- ning lines for White) and mates be- cause the queen can no longer move to al. zz2: W*b8>e5,2tf5 v B*d8, Wh7 (3 moves). This is identical, except that Black doesn’t have the ...Wh7 defence. zzl (3 moves) zz3 (1 move) (151): zz3 is trivial. A number of other zugzwangs are derived from this one. zz4: W*a8,Wb7,21c5 v B*d8, We8 (1 move). zz5: W*d2,Wb7,5k5 v B*d8, We8 (1 move). This is one of the Rinck positions. zz6: W*b8,Wc7,£ki5 v B*e8, Ш8 (5 moves). Т-.^аЗ is the only move to avoid immediate mate and
98 Secrets of Pawnless Endings then 2 Wc6+ <i>f7 (or *f8) 3 Wf6+! and White wins after З...Фе8 4 GScl+ or 3..^g8 4 £te7+. zz7: Wi>a4>c7,^d5 v ВФе8, Wf8 (1 move). zz8: W*d8>e7,fcf5 v B*g8, 1П18 (5 moves). Here l...Wc3/b2/al 2 We6+ ФЬ7Л18 3 Wh6+ *g8 4 &е7+ ФТ7 5 Wg6+ mates. 152 =/- zz9 (6 moves) (152): In zz9 the black queen must control d7, and 1 ...Wd5 2 We8+ mates after 2...Фс7 3 Wb8+! or 2„>d8 3 We6+!. Therefore Black must play l...Wg4 or l...Wh3: 1) l...Wg4 2 Wf6 Wdl (2...Wh3 is the only other reasonable move, but then 3 ФЬб ФЬ8 4 Wf4+ mates) 3 We6+ Фd8 4 2>b7+! Фс7 5 Wb6+! and wins the queen or mates. 2) l...Wh3 2 2>b7 Wd3 (2...Wd7 3 Wf8+ Фс7 4 Wf4+ leads to mate) 3 We6+ Wd7 (З...Фс7 4 Wb6+ wins the queen or mates) 4 We4 (quickest, but it is also possible to win with checks: 4 Wg8+ Фс7 5 Wc4+! Wc6 6 Wf7+ and now 6...Wd7 7 Wf4+ or 6...Фс8 7 Wf8+ Фd7 8 2k5+) and now 4...Фс7 5 Wf4+, or 4...We7/f7/ g7/h7 5 Wc6+ Wc7 6 We8+. zzlO: WФb7,Wf7,2>d5 v BФd8, Wg5 (6 moves) is just zz9 shifted to the right. zzll: WФb7,Wg6,2>d5 v BФd8, Wh4 (5 moves). zzl2: WФc7,Wg7,2>e5 v ВФе8, Wh5 (3 moves). In zzlO, l...Wh4 (l...We5 2 Wf8+ is mate after 2..^d7 3 Wc8+ or 2...We8 3 Wf6+) 2 Wg6! (this is now zzll) Wei (other moves lead to mate by Wf6+ or Wd6+) 3 Wf6+ Фе8 (3..^d7 4 Wc6+ and Wc8 mate) 4 2>c7+ Фd7 5 Wc6+. Inzzl2, l...Wf5 2 Wg8+ is the only variation. It is natural to ask why zz9 isn’t linked to a second zugzwang posi- tion in the same way that zzlO is linked to zzll. The answer is that the position arising from zz9 after l...Wg4 2 Wf6 is not reciprocal zug- zwang because White has the threat of 3 ФЬб Wb4+ 4 Феб Wa5 5 Wh8+ Wd8 6 Wh3+ ФЬ8 7 Wb3+. With the position shifted one square to the right there is no such threat because the extra file on the left means that Black can meet Феб by ...Wa4+. (153): This position is linked to zzl4: WФc7,Wd6,?k2 v ВФа7, We3 (4 moves). In both cases l...Wb3 is forced, or else Black is mated by Wa3+ or Wd6+. This is met by 2 Wc5+ in zzl3 and by 2 Wd4+! Фаб 3 Wal+! ФЬ5 4 £k!4+! in zzl4. zzl5: WФc8,We6,^c7 v ВФа7, Wd3 (3 moves). In zz!5, l...Wg6 is the only move,
QUEEN AND KNIGHT V QUEEN 99 153 zzl3 (2 moves) otherwise losing control of a6, b5 or e3 is fatal, but then 2 ^3+ Wb6 3 Wa3+ mates. 154 zzl6 (8 moves) (154): zzl6 is more complicated: 1 ... Фаб Or 1...Фа7 (1..>а6 2 Wf2+! Фа5 3 Wd2+ ФЬб 4 Wb4+ Фа7 5 Фс7! wins, as does l...Wg2 2 Wb5+ Фа7 3 4k8+ Фа8 4 Ж6+) 2 Фс7 We7+ (2...Фаб 3 Wbl wins after З...Фа5 4 4)b7+ Фа4 5 2k5+ or 3..>e7+ 4 Феб!) 3 Феб! Wg7 (3..>e2 4 Wc5+) 4 Wa5+ ФЬ8 5 Wd8+ Фа7 6 2>b5+. 2 Фд8 The quickest win, although 2 Феб also wins, reaching zz34 with Black to move. 2 ... ФЬб Or 2...Wb2 (2...Фа7 3 Фс7 wins as in the note to Black’s first move, while 2..Wg2 3 Wb5+ and 4 £k8+ is similar to 2...Wb2) 3 Ж13+ Фа7 4 ?k8+! ФЬ8 5 Ж16+'. ФЬ7 6 Wd7+ with mate or loss of the queen. After 2...ФЬ6 White wins by 3 Ж15 (3 Фd7 loses time after З...Фаб) Фаб (З..Ж1 4 ?k4+! Фаб/а7 5 Wa5+ ФЬ7 6 Wc7+ and mate) 4 Wb7+ Фа5 5 Wb3! Фаб б Фс7 We7+ 7 Феб and wins. zz.17 (14 moves) (155): zzl7 is more complicated still: 1 ... Фа5 The alternatives are 2 W1+! Фа4 3 Wdl+! ФЬ5 4 Wb3+! Фаб 5 Феб!, l.-.^gl 21ЙЪ4+ Фаб 3 £к7+ Фа7 4 ^35+ mating and
100 Secrets of Pawnless endings 1...Фаб 2 Wa4+! Wa5 3 4)c7+! ФЬб 4 Wc6+! Фа7 5 Wa8+! and mate. 2 *d7! ФЬ5 Or2...Wbl (2...Wgl 3 Wb4+ is as above, while 2...Фаб 3 Wa4+ Wa5 4 £te7+ ФЬб 5 Wc6+ Фа7 is now fin- ished by 6 £1Ь5+) 3 Wd2+! Фаб 4 ?k7+! ФЬ7 5 Wd5+ ФЬб 6 Wd6+ winning the queen or mating. 3 Wd4! Фа5 Black’s queen must control b4, so this is the only move. 4 Wb6+! Other moves only lose time. 4 ... Фа4 5 Wb2! Фа5 6 Wd4 The quickest win, completing a triangulation by the white queen, al- though 6 £lc3 is also sufficient. 6 ... ФЬ5 7 £кЗ+ Фаб 7...Фа5 8 Wa4+ ФЬб 9 Wc6+. 8 Wc4+ ФЬ7 9 Wd5+ Фа7 9...ФЬ8 10 Wb3+ Фа8 (1О...Фа7 11 2>b5+ ФЬ6/а6 12 ?к7+ Фа7 13 Фс8) 11 £1Ь5 and now most moves lose to either Wa4+ or Wd5+, while ll...Wd2+ 12 Фс8 and ll...Wa5 12 Wg8+ are also the end. 10 2>b5+ ФЬб 10... Фаб 11 ^cl+ mates. 11 £kl6 with a quick win by £1c4+ or Wb5+, except for ll...Wb4, which fails to 12 Wc6+. The following group consists of four positions; the first two are straightforward. zzl8: V^b7,Wd4,?k6 v ВФЬ5, Wei (2 moves). zzl9: ХУФс7>е4,2к16 v ВФс5, Wfl (3 moves). zzl8 is trivial, while in zzl9 the only variation is l...Wa6 2 ^b7+ ФЬ5 3 Wd3+. zz20 (10 moves) (156): zz20runs l...Wal 2 Wf5+! Фс4 3 We4+! ФЬЗ (З...ФЬ5 4 2>d4+ ФЬб 5 Wc6+) 4 2>c5+! ФЬ2 (4...Фа25 Wa4-^bl 6Wdl-^b27 £kd3+ Фа2 8 Wa4+ wins) 5 Wd4+ transposing into the last note after 5...Фа2 6 Wa4+ or 5...ФЫ 6 Wdl+. (157): Only zz21 presents real problems: 1 ... Wbl l... Wc6 (or Wb7/a8) 2 2kl7+! and Wf3+ wins the queen. 2 Wg5+! 2 Wg3+ wastes time. 2 ... Ф<14 3 Wf4+! ФеЗ З... Фс5 4 &e4+! Феб 5 Wd6+! ФЬ7 6 ?k5+! Фа7/а8 7 Wa6+! ФЬ8 8 £k!7+! Фс7 9 Wd6+! winning the queen or mating. 4 £ld5+! ФЬ2
QUEEN AND KNIGHT V QUEEN 101 157 =/- zz27 (13 moves) 158 zz22 (16 moves) 4... Фс2 5 #f2+ ФЬЗ (5...*cl 6 #el+ *c2 7 2>еЗ+ ФЬ2 8 £к4+ Фа2 9 #a5+ wins) 6 Wb6+! Фс2 7 2>еЗ+ Фс1 8 #c5+ *d2 (8...ФЬ2 9 5k4+! Фа1 10 Wa7+ Wa2 11 Wd4+) 9£к4+!Фе2 10#e3+. 5 Wd4+! Фс1 5... Фс2 6 Wf2+ as in the last note, or 5...ФаЗ 6 #c5+ ФЬЗ 7 Wb4+ Фс2 8 2te3+. 6 #еЗ+! Фс2 7 #f2+ winning as in the note to Black’s 4th move. Apart from one pair of positions, which we will consider presently, the other zugzwangs do not form any groups and need to be dealt with in- dividually. (158): This zugzwang is very im- portant, because the positions arising in the analysis seem to occur in the analysis of many other positions. 1 ... ФГ7 l. ..^g7 2 #g3+ transposes to the main line, but Black has a range of other moves: 1) l...Wg7 (l...#f7 2 Wh6+ is the same) 2 Wf4+! #f7 3 Wh6+! #g7 4 Wh4! #c3/b2/al (4...#h7 5 #f6+) 5 #f4+ Фg7 6 #g5+ mates. 2) l...Wa6 2 Wf4+ Фg7 3 #g4+ ФЬ7 (З...ФЬ6 4 2>f5+) 4 Wh4+ i>g7 5 2if5+ *f7 6 Wh7+! wins. 3) l...Wb2/al 2 Wf4+ Ф87 3 #g5+. 2 Wb3+! *g7 3 #g3+! ФЬ7 4 Wh3+! 4 #112+ and 4 #d3+ maintain the win, but lose two moves because White has nothing better than return- ing to g3 next move. 4 ... Фg7 4... #h6 5 #f5+ ФЬ8 (5...*g7 6 #g4+ *f7 7 #c4+) 6 #e5+ #g7 (6...Ф117 7 #e4+ ФЬ8 8 #a8+) 7 #f4 transposes to the main line after 12 Фd7. 5 #g4+! ФЬ7 6 Фе8! Checking on h5 only loses time, because White has to return to g4 next move.
102 Secrets of Pawnless Endings 6 ... Wb6/a6 Or 6..>g7 (6...1Ъ8+ 7 *f7 loses at once) 7 We4+ *h8 8 Wh4+ Wh7 9 W4, as in the main line after 11W4. 7 Wh5+ Checking on h4 or h3 is also pos- sible, followed by the same ma- noeuvre ending with 11 W4. 7 ... Wh6 8 ®f5+ ФЬ8 9 We5+ 9 Wg4 Wg7 10 Wh4+ Wh7 11 1ЙТ4 is an alternative way of reaching the position after White’s 11th move in the main line. White has an alter- native, but slower, winning method starting with 9 Ж15 (see Mann’s analysis below). 9 ... Wg7 10 Wh2+ Wh7 11 Wf4 Wg7 Or П...1Ъ5+ 12 *f8! *h7 13 We4+ ФЬб 14 We6+ *g5 15 Wf5+! and White picks up the queen. 12 *d7!! White can lose time by checking again, but unless he finds this move he is unable to win. 12 ... *h7 Or 12...W7 13 Wh6+! Wh7 14 W8+. 13 Wh4+ Wh6 14 ®e4+! ФЬ8 15 ®a8+ *g7 16 2>fS+ winning. It is interesting to note that Mann discovered some of this analysis, and made two attempts to compose a study based on it. (159): His first attempt, in 1922, was incorrect: 159 +/ Mann, 1922 Haarlemsch Dagblad 1 ®c4+! ФЬ8 l... *g7 2 Wc7+! *g8 3 Wd7! transposes. 2 Wc7? Mann’s move is wrong. The right path is 2 Wc8+ i>g7 3 Wb7/c7+ *g8 4 Ж17! Wf1/2, reaching the position after Black’s 6th move in the analysis of zz22. Mann arrives at the correct position by an inaccurate route. 2 ... *g8? Missing the drawing continuation 2...Ш5!. 3 ®c8+ ®f8 This should make the solution three moves shorter. It is more accu- rate to play 3...£^7, when White can win with the Wb7(c7)+ and Ж17 ma- noeuvre. 4 ®d7 This move maintains the win, but against Black’s inaccurate defence White could win more quickly by 4 ^еб-ь reaching the analysis of zz22 after White’s 8th move. 4 ... Wfl
Queen and Knight v Queen 103 Once again a poor move. Black should play 4... Wf6, when White can only win by passing the move to Black with the sequence 5 Wc8+ *g7 6 Wb7(c7)+ and 7 Wd7. We have now reached the position after Black’s 6th move in the analysis of zz22. From now on Mann’s analysis is very good. He does not win by the optimal route, but he does win, and in such a complex position this is a considerable achievement. 5 We8+ Wf8 6 We6+ ФЬ8 7 We4 We know from the above analysis that 7 We5+ Wg7 8 Wb8+ Wg8 9 Wd6 is quickest, but Mann’s analysis follows an alternative winning path. 7 ... Wg7 7...W g8 8 Whl is one move faster. 8 Wa8+ Wg8 9 Whl Wa2 The best defence. After 9...Wg7 (Mann doesn’t mention 9...We8+, even though the winning line 10 ФЬб! *g8 11 Wd5+! *f8 12 Wf5+ Фе7 13 We6+! is quite attractive) 10 *g4+! *g8 11 Wa8+ Wf8 12 Wd5+ ФЬ8 13 Whl+ Black loses more quickly. 10 Фg6+! Фй8 11 We4! Wa6+ 12 ^еб! Wa7 Not the best defence. The main line runs 12...Wa2 13 Wg4! Wf2 14 £lf4! Wb6+ 15 ФЬ5+! and wins with checks. For more detail see the anal- ysis of diagram 185. 13 Wg2 Again Mann maintains the win, but misses the faster 13 ФЬб. 13 ... Wai A very weak defence. 13...ФЬ8 (13...Wh7+ 14 Ф46+ ФЬ8 15 Wa8+ Wg8 16 Wai Wg2 was all correctly given by Mann, but now he missed the win of the queen by 17 Фf7+ ФЬ7 18 2>f8+ ФЬб 19 Wh8+, giving instead the slower line 17 Wd4) 14 Wh2(h3)+ Фё8 15 Wg3 Wh7+ 16 Фf6-l- Ф118 and now 17 £rf4 is the fastest win. After 13...Wai White can win im- mediately by 14 Wg5, but Mann’s line 14 ФТ5+ ФЬ7 15 Wh2+ Фg8 16 Wb8+ ФЬ7 17 Wc7+ Фg8 18 Wd8+ ФЬ7 19 We7+ ФЬ8 20 Wf8+ ФН7 21 £lg5+ is also adequate. By 1923 Mann seems to have done a better job of analysing this position and he produced the following very fine study: 160 +/ Mann, 1923 L’Italia Scacchistica (160): 1 2>b4+! ФеЗ (1...ФЫ 2 Whl+ ФЬ2 3 2>d3+! Фа2 4 Wa8+! ФЬЗ 5 Wb8+! wins) 2 Wa3+! Wb3 (2..J?d4 3 2>c6+! Фс15 4 Wb3+ Фе4
104 Secrets of Pawnless Endings 5 Wd3+ *f4 6 Wf3+) 3 2>d5+! Фс4 (or Фс2) 4 21еЗ+! ФеЗ 5 Wc5+! ФЬ2 6 ^Sc4+! and now: 1) 6...Фс17 <^2+! Wc2 8 ШЗ+! Wb2 9 Wa5! (a hard move to find) and wins after 9...W6/g7/h8 10 Wc5+or 9..>a2 10Wc3+. 2) 6.„*c2 7^d2+!Wc3 8 Wf5+! ФЬ2 9 Wb5+! Фа2 10 *dl! reach- ing the key position after White’s 6th move in zz22. Mann then gave 1О...1Ъ2 (10..>g3/h3 are best) 11 Ж15+ (11 WaS-t- is quickest) Фа1 12 Фа8+ Фа2 13 Whl, just as he had done in his 1922 study. At this point, he then failed to mention IS.-.'i&gS, his main line in 1922, giving only the weak defence 13,..Wb2 (refuted by 14 Фе2+). zz23 (6 moves) (161): In zz23 there are two main lines: 1) 1...Фа5 2 Фс7! Wg4 (2...Фа4 3 W'd4-t- ФЬ5 4 ^04+, while other queen moves are met by 3 £k4+ Фа4 4 ЖЗ+ ФЬ5 5 2ki6+) 3 2>b3+! ФЬ4/Ь5 (or else £te5+ and Wb6 mate) 4 £k!4+! Фс4 5 1ЙЪЗ+! win- ning the queen. 2) l...Wgl (other queen moves fail to 1ЙЪЗ+, £te4+ and Wb6 mate) 2 Wb3+! Фа5 3 ?k4+! Фаб 4 Wa4+! ФЬ7 5 £ki6+! followed by Wb5+ and mate. Note that with White to move 1 Фс7 Wg4 (or 1...1йге2) is a draw be- cause of the stalemate after 2 Wb3+ Фа5 3 £k4+ 1B,xc4 41йгхс4. zz24 (24 moves) (162): zz24 is the most compli- cated of the 38 zugzwang positions, and the analysis contains some as- tonishingly paradoxical moves: 1 ... Wg2 The only sensible defence. After 1... Фа6 (other moves allow a deadly Wb4+) 2 Фс8! Wg5 (most moves are met by Wb7+, Wb4+ and £te5+, but 2...Фа5 is different: that is refuted by 3 Ш5+ ФЬб 4 Wc5+) 3 2>b4+! ФЬ5/Ь6 4 £id5+! Фс5 5 Wb4-»-! Black’s queen is lost. 2 Wb4+! Фаб 3 Фс5+! Фа7
Queen and Knight v Queen 105 4 Wa5+’. Other checks are possible, but simply waste time. 4 ... ФЬ8 5 Wc7+! Again, after other checks White can only repeat the position. 5 ... Фа8 6 We5I! The only move to win, apart from checks losing time. White covers the dangerous check on g7 and threat- ens an immediate catastrophe by 7 Фс7 (6...Wd2/g4+ 7 Фс7 provide no help). 6 ... Wf3 This proves the most resilient de- fence. Other lines: 1) 6,..Whl7*d8!Wc6(forother moves see line 3 below) 8 Wal+ (8 £k!7 Фа7 9 Wal+ is also possible) ФЬ8 9 2kl7+ ФЬ7 10 Wbl/b2+ Фа7 11 1ИГЬ4! (a zugzwang position in which White to play can only win by passing the move to Black) and we transpose to the position after White’s 6th move in the analysis of zz22. 2) 6...Ф&7 7 Фс7 (threatening Wal+) and now: 2a) 7...Wgl 8 We7! Wg6 (the al- ternatives 8...Whl/g2 lose to 9 Wd7, while 8...Wbl 9 Wf7 is winning after 9...Wb8+ 10 Фс6+ Фа8 11 2>e6 Wc8+ 12 ?к7+ or 9...Wb2 10 Фс8+ Фа8 11 Wd5+ Фа7 12 Wd7+ Фа8 13 Wc6+) 9 2>е6! Wc2+ (9...Фаб 10 Wd6+ Фа5 11 Wb6+) 10 Фd8+ ФЬб (1О...Фаб/а8 11 ?к7+ Фа5/а7 12 Wa3+ ФЬб 13 Wb4+ mates, while 10...ФЬ8 is the same as the main line) 11 Wb4-t-! Фа7 12 ?k5 Wh7 (12...Wg2 13 Wa5+ ФЬ8 14 Wb6+ mates) 13 Wa5+ ФЬ8 14 2>d7+ ФЬ7 15 Wb6+ and mate. 2b) 7...Wa2 8 Wd4 Wh2+ (or 8...Wa5+ 9 Фс8 Wb5 10 Wg7+ mat- ing) 9 Феб Whl/g2+ (9...Wh6+ 10 £ie6+) 10 £ie4+ mates. 2с) 7... Whl 8 Wb2 Wh7+ 9 wins. 2d) 7...Wfl 8 Wd4 with a quick mate. 3) 6...Wh3+ 7 Фd8! Whl (the other moves are 7...Wh7 8 Wal+ ФЬ8 9 2kl7+! ФЬ7 10 Wb2+! Феб 11 Wb6+ and 2>f6+, 7...Wf3 8 Wal+ ФЬ8 9 2kl7+ ФЬ7 10 Wb2+ and Ste5+, and 7...Wh4+ 8 Фс8 Wg4+ 9 Фс7) 8 We8 (by far the quickest win) Фа7 9 Wa4+! ФЬб 10 2kl7+ ФЬ7 11 Wb5+ and wins. 7 Фе7!! With the threat of 8 Wal+ ФЬ8 9 2kl7+ Фс8 10 Wcl+ ФЬ7 11 Wbl+ and c6 is out of bounds for Black’s king. 7 ... Web Or 7...Whl 8 Фd8!, as in the last note. The reply 7...Wg2 doesn’t meet the threat, because although White doesn’t have 4ie5+ as in the last note there is an alternative win of Black’s queen by Wb6+ and Wb7+. Finally 7...Фа7 8 Wc7+! Фа8 9 Wc8+ Фа7 10 Wa6+ ФЬ8 11 2kl7+ leads to a quick mate. 8 Wal+! ФЬ8 9 2tf7+! Фс8 9...ФЬ7 10 Wb2+! Фа7 11 Wa3+! wins as in the analysis of zz22. 10 Wh8+! ФЬ7 11 Wb2+! and again we have zz22.
106 Secrets of Pawnless Endings zz25: W*b8,Wb7,2rf5 v B<4>e8, Wa3 (4 moves). The only line runs 1...ФГ8 (l.-.WfS and l...l&c5 are met by 2 £lg7+) 2 Wg7+! Фе8 3 Wg8+ Wf8 4 Bj6+ and mate next move. zz26: W*b8>f6,5)e5 v B*e8, 1ЙЪ5 (4 moves). This is the other Rinck position. The black queen must control f7, or else W7+ followed by 'Udi or W8 mates, so l...Wh7 is forced, when 2 We6+ We7 (or 2...*f8 3 2>d7+) 3 Чй'сб-Ь! picks up the queen. 163 =/- zz27 (3 moves) (163): Black must control moves like l&a5+, Фс7+ and <£)d7+, so the queen must stay on the 7th rank. It turns out that f7 is the only safe square because the queen must also cover d5, for example L.^e? 2 Ж15+! Фа7 3 Ш2+ ФЬб 4 Wa6+ or l..>g7 (1...W7 2 We8 leads to the same win) 2 WeS! and Black has no answer to the threats of Wc6+ and Wa4+, for example 2...Фа7 3 Wa4+ and 4 £ki7+. zz28: W*c8>d7,2k5 v B<4>a8, We4 (2 moves). zz28 is unusual in that Black’s queen is attacked in the initial posi- tion. White to play cannot take the queen because of stalemate, nor can he strengthen his position in any other way. Black to play cannot keep control of Ь7, c6 and a4. zz29: W*c8>c3,£k2 v ВФа4, Wbl (6 moves). In zz29 the only line is l...Wb6 (l...Wb3 2 Ш1+) 2 Wa3+! ФЬ5 3 Wb4-t-! Фаб (З...Фс6 4 2ki4+) 4 Wa4+! Wa5 5 2>b4+! ФЬб 6 Wc6+ and mate. zz30: W$c7,Wd3,4)e3 v ВФс5, Wcl (4 moves). 1...ФЬ4+ 2 ?k2+! Фс5 3 Wd4+ mates. zz31: W*c7>c3,^d3 v ВФЫ, 1ЙЪ5 (3 moves). 1...Фа2 2 2>b4+. 164 =/- zz32 (12 moves) (164): This is one of the most in- teresting of the individual zugzwang positions:
Queen and Knight v Queen 107 1 ... «f2 There are other lines: 1) 1...ФЬ7 (1...Фа8 may be met the same way, while 1 ...ФЬ8 2 Wb6+ is a move shorter) 2 «сб+! ФЬ8 3 Wb6+ Фа8 4 «а5+! followed by 5 Wb4+ and 6 Фс7. 2) I...«b3/a2 2 &с8+! ФЬ8 3 «d6+! ФЬ7 4 «с6+! ФЬ8 5 «с7+ and mates by «a7 or £)b6 according to whether the black queen is on b3 or a2. 3) l...«f3/fl 2 ?k8+ also leads to a quick mate by Vii&l. 2 ^c8+ White has another method of reaching the position at move 5, namely 2 «d6 ФЬ7 3 «с6+ Фа7 4 5k8+ ФЬ8. 2 ... ФЬ8 3 ®d6+! ФЬ7 4 ®сб+ 4 «d5+ followed by Wb5+ is the same. 4 ... ФЬ8 5 Wb5+! The direct 5 «с7+ Фа8 6 £lb6+ fails because of stalemate. 5 ... Фа8 6 ^d6! ®a7+ 6...«g2/f3 (6...Wb6 7 «d5+ ФЬ8 8 «g8+) 7 «а5+ ФЬ8 8 «d8+ Фа7 9 &c8+ mates. 7 Феб! «g7/h7 7...Wb8 8 «a4+ «a7 9 «e4 and Black is totally helpless, e.g. 9...Wb8 10 Фс5+, or 7...«e7 8 «а4+ ФЬ8 (8...«a7 9 «e4 as above) 9 «Ь3+ Фа8 10 «g8+ winning the queen. After 7...«g7/h7 White wins by 8 ®a5+ ®a7 (8...ФЬ8 9 «d8+) 9 ®d5 «g7/h7 (to defend g8; 9...«e7 10 ФЬ6+ ФЬ8 11 «g8+ wins) 10 2>f7 and mates in a few moves. 165 zz33 (8 moves) (165): 1 ,.^d8 (the other lines are 1...W7 2 ФЬ6+! Фd8 3 21e6+! Фе8 4 «с8+! Фе7 5 «с7+! Фе8 6 «d8+! ФТ7 7 £>g5+ and wins, l...«g5 2 «h8+ «d8 3 «h3+ ФЬ8 4 Wb3+ and l...«f8 2 Wh3+ followed by 3 Wb3+) 2 W6+ (other second moves, such as 2 «a5+, also win, but all lead to the position after 3 £id5, albeit more slowly) Фе8 (2...Фс8 3 «f5+) 3 £id5 «f7 (or 3...Wh7 4 «е6+ ФТ8 5 «d6+ ФТ7 6 «e7+ Фg6 7 Ш+ ФЬ6 8 «f6+ and wins) 4 «d6 «a7 (forced, because 4...«g7 5 ^cl+ wins) 5 «e5+! Фf7 6 »f6+ Фg8 7 £le7+ and wins. (166): This is slightly more com- plex: 1 ... Wg2+ Or 1 ,.>g7 (1 ...ФЬ8 2 2kl7+ Фс8 3 2>b6+) 2 1ЪЗ+! ФЬ8 3 2ia6+! Фа7 4 «еЗ+! Фа8 5 «е8+! and mate in two more moves. 2 ®e4! «Ъ2
108 Secrets of Pawnless Endings 166 zz34 (9 moves) 167 zz35 (9 moves) Or 2..>g7 (2..>g4 3 2kl6+ *d8 4 2if5+! Фе8 5 Ж17+ *f8 6 ®e7+ wins simply, although the quiet 3 Ж14 is actually one move quicker) 3 &d6+'. ФЬ8 4 Wbl+ Фа8 (4...*a7 5 Wb6+ Фа8 6 Ж18+) 5 We4 Wa7 (5...ФЬ8 6 We8+) 6 ФЬ5+ ФЬ8 7 WeS+J Фс7 8 ®e7+ winning. 3 ^d6+ The quickest win, although 3 Ж17+ also does the job. 3 ... ФЬ8 and now 4 Wg3! Фа7 (4...Фа8 5 Wg8+ is a transposition) 5 Wgl+l Фа8 (or 5...Фа6 6 Wfl+! Фа7 7 Sk8+ ФЬ8 8 Ш+! Фа8 9 Ш4+! and mates) 6 ®g8+! Wb8 7 ®d5 ®a7 (7...Wb4 8 Фс7+) 8 ®e4 mates quickly. (167): The main line runs 1 ... Wf2 Or 1...Фс8 (1..>а4 2 2k6+ Фс8 3 Фс5 wins after 3...'ЙТ4 4 Wd8+ ФЬ7 5 21a5+ or 3...1Ъ4 4 «Т5+ Фс7 5 W7+ Фс8 6 ФЬб, while 1...Фе8 2 Wg6+ Фd8 3 2k6+ leads to an early end) 2 ^3+ ФЬ7 3 Ж:7+ Фаб (З...Фа8 4 Ж:8+ and 5 £1с6+) 4 Wc8+ ФЬ5 5 Wc6+! ФЬ4 6 2kl3+ ФаЗ 7 Wc5+ winning. 2 Феб+! Фс7 Or 2...Фе8 3 Wb5+ Ф48 4 5ki7+ Фg7/g8 5 Wg5+ winning. 3 Wd7+! ФЬб 4 4k4+! Фаб and now 5 Wa4+! ФЬ7 6 £kl6+! Фс7 7 Wc4+ (or Wd7+) ФЬб 8 Wb5+ mates. zz36: V^d6,'Bg5,‘5V5 v ВФе8, #117 (3 moves). 1... ФГ8 2 2kl7+ ФП 3 W6+ mates. (168): With Black to play White wins after 1 ... Wbl/b2 The only possible moves, because 1...Фа8 fails to 2 ^4+. 2 ®d8+ In fact White can win one move more quickly against l—Wbl by playing 2 Ж16+, using the fact that Black cannot flee to the kingside in the line 2 Шб+ Фс8 3 Шб+ Фd8 4 £1е6+, when аЙег4...Фе8 5 ^8+ or
Queen and Knight v queen 109 168 zz37 (10 moves) 169 zz38 (8 moves) 4...Фе7 5 Ж16+ Black’s king is forced to f5, leading to mate by WgS. After l...Wb2 this line doesn’t work because g7 is covered. However, 2 Ж18+ works equally well against both moves, so to simplify matters we will only analyse this possibility. After 2 Wd8+ Black loses by 2...Фа7 3 ®c7+! Фа8 4 ®c8+ Фа7 5 Ш6+ ФЬ8 6 £кГ7+ Фс7 7 ®d6+! Фс8 (7...*d8 8 21e5+ Фс8 9 Wd7+) 8 ftb6+! ФЬ7 9 ®c6+! Фаб and with the queen on b2 White wins by 10 5)c4+, while if it is on bl, 10 Зк8+ Фа5 11 Фа8+ suffices. (169): 1..>а7 (I..>el/e2/e3/h4 lose to 2 Ж16+, while 1...Фс8 fails to 2 Wc6+! Wc7 3 We6+! Фd8 4 Wg8+ Фе7 5 Wg7+) 2 Wg8+ Фс7 3 Wf7+ ФЬб (З...ФЬ8 4 We8+ Фс7 5 Wd7+ ФЬб 6 Wc6+ Фа5 7 Wa4+ ФЬб 8 ?ki7+ ФЬ7 9 Wc6 mate) 4 Wf6+ ФЬ5 (4...Фс7 loses as in the last note) 5 Wb2+ Фа5 6 ^67+ Фаб 7 Феб wins. Knowledge of the above zug- zwang positions can greatly simplify the analysis of 'ЙЧ-Ф v W endings. The following two positions provide good examples. 170 +/ Vandiest, 1975 ‘EG’ (170): Ih7b2(l...g64^g5b2 3 h8W blW 4 W6+) 2 h8W blW 3 Wxg7+ Феб 4 Wg6+! Фе5 (4..^?d7 5 Wh7+! Фd8 6 Bj7+! Фс8 7 2>d6+! ФЬ8 8 Bj8+ ! Фс7/а7 9 2>b5+! ФЬб {9...ФЬ7 10 Ж17+} 10 Ж18+! Фаб 11 Wa8+! ФЬб 12 Wa7+! Феб 13
по Secrets of Pawnless Endings Wc7+ *d5 14 ?k3+) 5 Wd6+! Фе4 6 *g4! Wai (6...Wb2 7 2>g3+! ФеЗ 8 £rfl+! Фе4 9 £kl2+) and now we have reached zz20 after Black’s first move. The accurate play and quiet move make this one of Vandiest’s best studies. The following study is undoubt- edly one of the best W+Ф v W studies ever composed. A very long series of accurate moves is combined with an unexpected quiet move: 171 +/ Prokop, 1953 3/4 Pr., Bulletin Ouvrier des Echecs (171): 1 Wh2+ *g5 2 2>xe6+ *f6 (2...*g4 3 Wg2+) 3 Wf4+! Wf5 4 Wh6+! Wg6 5 Wf8+! Wf7 6 Wd8+! stfS (6...Ф^6 7 Wg5+ trans- poses to the main line after White’s 17th move) 7 Wg5+! Фе4 8 Wd5+! ФеЗ 9 Wd4+! Фе2 10 2>f4+! *f3 (10...ФП 11 Wd3+ *f2 12 We2+ comes to the same thing) 11 Wd3+ (or 11 Wdl+) Ф(2 (ll...*g4 12 Wh3+ loses two moves) 12 We2+ (12 Wd2+/c2+ are the same) i’g3 13 Wg2+ (or 13 We3+) ФЬ4 14 Wh3+ i’gS 15 £te6+! <S?f6 (15..^g6 is one move shorter) 16 Wf3+ (16 Wh4+ is just as good; White has returned to the position at move 5, but with his queen on a better square) i’gb 17 Wg4+ ФЬб 18 Wg5+! ФЬ7 19 Фе5! reaching zz37 with Black to move. White wins in a further 10 moves. 4.7: Complex examples I have ‘composed’ a number of end- game studies using the database, in order to show hitherto unknown ideas in the ending of W+Ф v W. Some of these endings are derived from the zugzwang positions given above. 172 +/ Nunn, 1991 2nd Pr., Sakkelet (172): The solution is 1 Wf2+! After 1 We7+? ФЬб! 2 Wc7+ ФЬ5! 3 Wb7+ Фс5! 4 Wb4+ Феб! 5 2kl4+ Фd5! 6 Wb5+ Фе4! Black succeeds in drawing.
Queen and knight v Queen 111 1 ... Фаб 2 Фс7! ®bl The only move, as 2...ФЬ5 costs Black his queen after 3 Wb6+. 3 ®f6+! Not 3 We2+? Фа5! 4 Wd2+ (4 WeS-f- Фа4! is the same) Фа4! 5 Wc3, when Black has the unique de- fence 5...1ЙГЬ6+!. The move played, returning to f6, gains an important tempo since З...Фа7 fails to the reply 4 Wd4+. 3 ... Фа5 4 Wc3+! 4 Wc6? would win were it not for the reply 4...'ЙЪ8+!. 4 ... Фа4 Not 4...Фаб 5 Wc6+ Фа5 6 Wa8+ winning the queen. After the move played White has the position above with White to play, and this gives him time to prevent the stalemate de- fence. 5 Фс8! White can maintain the win with 5 ^аЗ-ь or 5 'Sfc4+, but these moves lose time as White has to return to c3 the move after. The position after 5 Фс8! is zz29 with Black to move. The main line runs 5...Wb6 6 WaS+J ФЬ5 7 Wb4-t-! Фаб 8 Wa4+! Wa5 9 £ib4+! ФЬб 10 Wc6+! Фа7 11 Wb7 mate. (173): By playing 1 Ф<18! White sidesteps the dangerous check on g4. Approaching the black king immediately fails to a stalemate defence: 1 Фс7? Wg4 (or 1...1йге2) 2 Wb3+ Фа5 3 £te4+ 1йгхс4!. However, the move played puts Black into zugzwang (indeed the position is one Nunn, 1991 Comm., Die Schwalbe of reciprocal zugzwang). It isn’t im- mediately clear why 1 Фd6? doesn’t work just as well; the answer is that after 1 ,.>gl! 2 Wb3+ Фа5 3 5k4+ Фаб 4 Wa4+ ФЬ7 White cannot win without the knight check on d6, for example 5 £1а5+ ФЬб!. The obvious 1 Ж14+? may be met by 1...ФЬ5 or 1...ФаЗ, the latter move relying on the stalemate defence 2 £te4+ Фа2. The position after 1 Фd8! is zz23 with Black to move. In the main line 1...Фа5 2 Фс7! Wg4 3 2>b3+! ФЬ4/Ь5 4 2>d4+! Фс4 5 Wb3+! White’s king moves to c7 only after Black’s has occupied the inferior square a5. (174): White starts with a quiet move: 1 &d5! The only serious winning try, be- cause White’s knight needs to enter the attack while at the same time White must arrange to counter the threat of ...1B,h6+. i ... Фае
112 Secrets of Pawnless Endings Nunn, 1991 175 Nunn, 1991 Forced as l...Wh6+ and l...We5 are both met by 2 £lb6+. 2 ФЬ7! White also needs his king to make a serious threat. 2 ФЬ7 is the most obvious move, but 2 ФЬ5? is a close try, met only by 2...We5!. After 2 ФЬ7! we have reached zzlO with Black to move, so White wins after 2...Wh4 3 Wg6! Wei 4 Wf6+ Фе8 5 ^c7+ <4)d7 6 Wc6+ with mate or win of the queen. (175): In this diagram White’s queen and knight are already on ex- cellent central squares and if it were Black to move, he would have to make a concession. Therefore White must transfer the move to Black; this can only be done with the king. 1 ФЬ7! Checking is pointless as it only drives Black’s king to safety on the kingside. 1 ... Wh7+ Forced as l...£d7 2 £rf6+ is an immediate disaster. 2 Фа8! White cannot even waste time by playing ФЬ8 because of the check on bl. Once again Black’s choice is limited because he must control the e7-square while meeting the threat ofWb8+. 2 ... Wh4 Or 2...Wf7 (2...Wd7 3 Wg5+) 3 Wd6+ Wd7 4 Wb6+. 3 ФЬ8! Mission complete. 3...Wh7 4 Wg5+ drops the queen so Black is forced to move his king and allow the knight to enter the attack with check. After the text-move White wins by 3,..*d7 4 £if6+! Феб 5 Wd5+! ФЬб б 2tf7+! Фаб 7 Wc6+ (or Wb7+) Фа5 8 Wb6+! Фа4 9 21c5+! and White mates next move. (176): This position is based on zz22. 1 Wh3+! White can only make progress by retreating. After 1 Wh5+? Фg8 2 Фf8! White has no way to de- fend his knight and prevent ...Wd4+, while 3 We8+ Фg7 leads to nothing.
Queen and Knight v Queen 113 176 +/ Nunn, 1991 The Problemist 1 ... *g8 2 ^e7+ ФГ8 This is the toughest defence, since 2...*g7 (2...ФП 3 Wh7+ Wg7 4 1ЙЪ5+ loses at once) 3 1Brg4+ trans- poses to the main line after White’s 7th move. The move played leaves White without a check, but there is a reply which defends both e7 and d4. 3 We3! Now we have reached zz22 with Black to move. The main line runs З...ФП 4 Wb3+! *g7 5 Wg3+! ФЬ7 6 Wh3+! *g7 7 Wg4+! ФЬ7 8 Фе8! Wb6/a6 9 Wh5+ Wh610 ®f5+ ФЬ8 11 ®e5+ ®g7 12 Wh2+ W7 13 WT4 ®g7 14 Ф<17! ФЬ7 15 Wh4+ Wh6 16 ®e4+! ФЬ8 17 Wa8+ *g7 18 £if5+ winning. (177): The first move is forced. 1 £te7+! ФГ8 Playing for stalemate is the tough- est defence. The main alternative is 1...ФЬ8 (l...'4’g7 2 W3! transposes to the main line after 4 Wf3) 2 Ж14+! 177 +/ Nunn, 1991 Wg7 3 W4! (a surprising quiet move which is the only way to win) ФЬ7 (or 3..>f7 4 Wh6+! Wh7 5 W8+) 4 Wh4+ Wh6 5 We4+! ФЬ8 6 Wa8+ Фg7 7 #)f5+ wins. 2 ®d6! White has no useful checks be- cause 2 W3+? 1ЙТ7! followed by ...1&e8+ draws. However, the move played threatens to mate starting with 1ЙТ6+. 2 ... Ф^ Or 2..>g7 (2..^7 3 W4+ trans- poses to the main line, 2...1ЙТ7 3 1ЙЪ6+ transposes into this note and 2...18113+ 3 £lf5+ forces mate) 3 Wf4+! W7 4 Wh6+! Wg7 5 Wh4! (see Mann’s analysis of diagram 159) Wc3/b2/al (5..>h7 6 W6+ mates) 6 W4+ Фg7 71&g5+ and mate. 3 ®d4+ White is aiming to transfer his queen to the f-file with gain of tempo. There are other possible routes start- ing with 1&e5+ or 1&g3+, but all end up in the same position at move 5. 3 ... ФГ7
114 Secrets of Pawnless endings Or З...ФЬ6 4 Wf4+ with the same result. 4 Wf4/f2+ *g7 5 Wf3! Whichever queen checks White chooses, he has to find this quiet move in order to win. Black is in zug- zwang, but it is not a true reciprocal zugzwang because White to play can give some queen checks to transfer the move to Black. 5 ... Wbl After this White can win with a series of checks. Other moves lose more quickly, for example 5...Ф116 6 Феб! Wc2/bl 7 £lf5+! with a quick mate, or 5...Wh8 6 Wg4+ Ф16 7 We6+ (7 Wd4+ ФТ7 wastes time) Фё7 (7..^g5 8 Wf5+) 8 2>f5+ ФЬ7 9 Wf7+, or finally 5...Wh2 6 Wg4+ Ф^б 7 Wf5+ and mate. The finish runs 6 Wg3/g4+ ФТ6 7 Wf4+ (or Wh4+) Фg7 8 Wg5+! ФГ7 (8...ФЬ7 9 Wh5+ is the same) 9 Wh5+! Фg7 (9..ФЯ6 10 Wh6+ and now 1О...ФТ711 «еб+Ф87 12 2rf5+ or 1О...Фе5 11Wd6+) 10 <£f5+! ФТ6 11 Wh8+! Фg5 12 Wh4+! Фв6 13 Wh6+ and wins the queen. (178): This study is based on zzl6. 1 2x16+! 1 2ic5+? ФЬб! and 1 Фd6+? Фа8 lead to nothing, in the latter case be- cause White cannot introduce his knight into the attack with gain of tempo. 1 ... Фаб Of the other king moves 1 ...Фа7 is refuted by 2 Фd8+ ФЬб 3 Wc7+! Фаб 4 Wb7+! Фа5 5 Wb3! Фаб 6 Фс7 We7+ 7 Феб! winning, while 178 Nunn, 1991 Special Hon. Men., Schakend Nederland 1... ФЬ6 2 Wf5! reaches zzl6 with Black to move. 2 Wh3! Not 2 Wf5? when the only draw- ing move is 2...ФЬ6!, reaching the reciprocal zugzwang position with White to move. In this case White is unable to win, for example 3 2ic8+ Фаб!, 3 Фd8 Феб or 3 Wd5 Wg4+!. 2 ... Фа7 Black must still avoid 2...ФЬ6 3 Wf5!. The other lines are 2...Фа5 3 Wa3+ ФЬб transposing to the main line at move 5,2...Wb2 3 Wd3+ Фа7 4 2k8+! ФЬ7 5 Wd5+ ФЬ8 6 Wd6+! with a mate on a7, 2...Wei 3 Wd3+ Фа7 4 2k8+, 2...Wd2 3 Wfl+ Фа7 4 Wb5 Wg2 5 2>c8+ and 2...Wa2 3 Wd3+ Фа7 4 Wb5. 3 4k8+! White wants to transfer his queen to the а-file with gain of time, but the immediate 3 Wa3+? Wa6 4 Wc5+ Фа8 is only a draw. 3 ... Фаб
Queen and Knight v Queen 115 Other moves lead to an immediate mate. 4 ®аЗ+! ФЬ5 5 2d6+! ФЬб 6 Wb4+! Фаб 7 ®c3! This move is a big surprise, since it not only allows Black’s king more freedom but also gives Black a check on g4. However, it is the only way to win. The point of ^сЗ is to prevent Black giving a check on the c-file af- ter the white king moves to c7. There is an immediate threat of 8 Фс7 Bj7+ 9 Феб. 7 ... ФЬб Black has nothing better than to keep White’s king out. The other lines are 7...1ЙЪ5 8 Wa3+ Wa5 (or 8...ФЬб 9 2c4+ ФЬ7 10 Wb4+ Фа8 11 2>b6+ and 12 2k8+) 9 Wd3+ Фа7 10 Wd4+ Фаб 11 Феб, 7..>g4+ 8 Фс7 Wa4 9 Wd3+ Фа5 10 Ж15+ ФЬ4 11 Wc4+ and 7..>f2 8 Wc4+ Фа7 9 Wa4+ and 10 Wb5+ mates. 7...Фа7 and 7...W1 are both met by the threat (8 Фс7). 8 Фд8! Another difficult quiet move which cuts out Black’s queen check on g4 and so threatens 9 'HcT+ Фаб 10 Wb7+ Фа5 11 Wb3. Apart from wasting time by repeating moves with 8 Wb4+ or 8 Wc7+ this is the only move to win. 8 ... ®h5 There are few reasonable moves. 8...Фаб and 8...Фа7 are both met by 9 Фс7, as above, while if the queen moves it must cover b5 or b7 (to prevent Wc7-b7-b5). That leaves 8..>g2 9 Wb4+ Фаб 10 Wb5+ Фа7 11 2>c8+ and 8...W1 9 2>с4+ (now Black’s king cannot move to the c- file) ФЬ7 (9...ФЬ5 10 Wa5+ Феб 11 Wb6+) 10 Wb4+ Фа7/а8 11 Wa5+ and mates. 9 2>c4+! The vulnerable position of Black’s queen allows White to launch the fi- nal assault. 9 ... Феб Or 9...Фаб/а7 10 Wa3+ ФЬ7 11 Wb4+ Фа8 12 2>b6+ Фа7 13 2>c8+! Фа8 14 Wa4+ ФЬ7 15 W7+ Феб 16 Wb6+ and the queen proves to be badly placed on h5. 10 £te5+! ФЬ5 Other moves to the b-file are met by Wb4+, with play as in later stages of the main line. 11 Wb3+! Фс5 Or И...Фаб 12Wa4+ as at move 14 in the main line. After П...Фс5 White wins the queen by 12 ®c4+! ФЬб 13 *Ь4+! Фаб 14 Wa4+! ФЬб 15 2x17+ (or 15 2k4+) ФЬ716 ®Ь4+ Феб 17#Ьб+. 179 +/ Nunn, 1991
116 Secrets of Pawnless Endings (179): At least the first move isn’t too hard! 1 a8®! Knight checks allow Black to draw, for example 1 £1ЬЗ+? Фе1 or 1 &е4+?Фе2!. 1 ... glW 2 ®d5+! Not 2 ®a2+? ФеЗ! nor 2 ®d8+? Фе1 (or 2...Фс1) with a draw. 2 ... Фс1 This lasts longest. Other moves: 1) 2...Фс2 3 ®e4+ Фс1 (З...ФЬ2 4 5)d3+ ФЫ 5 £1Ь4+ leads to mate) 4 £>ЬЗ+ ФЬ2 5 ®e5+ transposes to the main line. 2) 2...Фе1 3 2kl3+! Фdl/d2 (or З...Фе2 4 2tf4+! Фе1 5 We4+) 4 2>f4+! Фс2 5 We4+ ФЬ2 6 2kl3+ as inline 1. 3) 2...Фе2 3 Wd3+! Фе1 (or З...ФТ2 4 2>e4+! Фg2 5 ®g3+! ФЫ 6 #113+! Wh2 7 2>g3+ mating) 4 Wbl+! ФТ2 5 2>d3+! Фё2 6 2>f4+ ФЬ1 7 Wh7+ Wh2 8 #e4+ mates. 3 2>b3+! Not 3 2kl3+? Фс2! 4 2>b4+ Фс1! and White cannot make progress. 3 ... ФМ З... ФЬ2 (З...Фс2 4 2kl4+ ФЫ/Ь2 5 Wb5+) 4 #e5+! transposes to the main line. 4 ®f5+! White can only win if his queen can reach e5 with gain of tempo. Therefore 4 #d3+? Фа2! 5 #d2+ ФЫ! and 4 #e4+? Фа2! 5 #a8+ ФЬ2! not only lose time, but even throw away the win entirely. 4 ... Фа2 4... ФЬ2 5 #e5+ transposes back into the main line. 5 ®a5+! ФЬ2 6 ®e5+! ФаЗ After 6...Фа2 (6...Фс2 7 #сЗ+) 7 ФеЗ Wb6 (7...ФЫ 8 #e4+ mates) 8 #e2+ (8 #d5 also wins) ФаЗ 9 #e7+ White wins as in the main line. 7 ФеЗ! This is the reason White’s queen had to be on e5; it is the only square which covers all Black’s potential queen checks. Now White wins easily, for exam- ple 7...#b6 (7...#a7 8 ®d6+ Фа2 9 #d2+ or 7...#g4 8 #c5+) 8 #e7+! Фа2 (or 8...Фа4 9 #e4+) 9 $kl+! ФЫ 10 ®e4+! and mates in a few moves. The following study features an unusual staircase manoeuvre. 180 Nunn, 1991 (180): The most complex study in this section. 1 b8®! hl® 2 ®g8+! White’s aim is to bring his queen to e6 with gain of tempo, so 2 ®ЪЗ+?
QUEEN AND KNIGHT V QUEEN 117 Фа1! 3 Wa4+ ФЫ! 4 Wc2+ Фа1! and 2 Wa7+? ФЫ lead to a dead end. 2 ... Фа1 After 2...ФЫ 3 Wg6+! Фа1 4 W6! White achieves his aim more quickly. 3 ®g7! Фа2 Black has a wide range of queen checks, but these are all answered by a king or knight move, setting up a deadly discovered check a move later. The variations are: 1) З...ФЫ 4 Wg6+ as in the last note. 2) 3...Wel+ 4 ФЬЗ! ФЫ 5 Wg6+ Фа1 6 ^аб-ь ФЫ 7 ^2+ wins. 3) З..>с1+4ФЬЗ!, 4) 3...W3+ 4 £к13! Фа2 5 Ж7+ mates. 5) 3..>сб+ 4 £к4! is the same. 6) 3...Wh3+ 4 2>d3! Wh2 5 Wf6 Wg2 (play is very similar to that aris- ing later in the main line; 5. ..We 2 6 Wg5 Wdl/fl 7 Wa5+ is the alterna- tive) 6 We5 Wa2 7 ФЬ4+ and mates. 7) 3...Wh2 4 ?ki3! ФЫ 5 Wb7+! Фа1 6 Wa7+ ФЫ (6...Wa2 7 Wd4 transposes to the main line at move 15) 7 Wb6+ Фа1 8 Wf6 and wins as in line 6 above. 4 Wf7+! Фа1 4... ФЫ 5 Wg6/f5+ Фа1 6 Wf6! transposes to the main line. 5 Wf6! Фа2 Black once again has a choice of checks, but the analysis is no differ- ent to that at move 3. 6 We6+! ФЫ 6...Фа1 is very similar, e.g. 7 2ki3! Wh8+ (7...Wbl 8 We5 Wa2 9 ФЬ4+) 8 Фс4! Wh2 9 Wel+ etc. 7 2ЛЗ! Wh8+ The queen has to be on e6 when White plays £kl3 or else Black can play ...Wc6+ which, unlike many of his other checks, is genuinely dan- gerous for White. Since 7...Wg2/h2 8 Wb3+ Фа1 9 Wdl+ mates, Black is forced to defend by way of a less troublesome check. 8 Фс4! Wh2 White has already played four quiet moves and there are more to come later. Black has no better de- fence than 8...Wh2, for example 8...Wh4+ (or 8...Фс2 9 We2+ ФЫ 10 Wdl+ Фа2 11 2>b4+ or 8...Фа2 9 2>b4+ ФЫ 10 Wel+ ФЬ2 11 Wd2+) 9 ФЬЗ Whl (after 9...Wg3 10 We4 Wg8+ 11 ФсЗ White delivers a fatal discovered check) 10 Wb6 Wg2 (the line 10...Wh2 11 ФсЗ+ Фа1 12 Wf6 wins just as in line 6 of the note to Black’s third move) 11 ФаЗ+ Фа1 (П...Фс2 12 £tel+) 12 Wd4+ ФЫ 13 Wb4+ and now Black has to allow the knight fork. 9 Wel+! Фа2 10 Wa5+ White has several ways to waste time, but they all eventually lead back into the same path, for exam- ple 10 2>b4+ ФЬ2 11 Wc3+ ФЫ 12 Wb3+ Фа1 13 fdl+ (13 2>c2+ Wxc2) ФЬ2 14 2kl3+ Фа2 15 Wa4+ ФЫ 16 Wb4+ and we have arrived back in the main line, having lost five moves. 10 ... ФЫ 11 Wb4+! Фа1 The lines П...Фс2 12 Wc3+ (not 12Wb2+?Фdl withadraw^dl 13 Wel+and П...Фа2 12£к1+Фа1 13
118 Secrets of Pawn less Endings 2>b3+! ФЫ/Ь2 14 2>d2+ lose more quickly. 12 ФЬЗ! Wa2+ 13 ФеЗ! Wg2/h2 The alternative 13...We2 loses af- ter 14 Wa5+ ФЫ (14...Wa2 15 We5) 15 Wb6+ Фа1 16Wgl+. 14 Wa4+ There are now various ways to win. 14 ... Wa2 15 Wd4! Wg2/h2 16 &f2 and mates in a few moves. The next study continues to ex- plore the theme of Black checks. Nunn, 1991 (181): White starts with a quiet move. 1 Wd5! Wb6+ The best of Black’s four available checks. l...Wf6+ 2 4кб+! Фе8 3 Wh5+! Wf7 4 Wh8+ mates, while both 1...#Ь2+ and l...Wb8+ are met by 2 Феб+. 2 Фе5+! Фс8/с7 3 Wd7+! ФЬ8 4 *d5! and we have reached zz37 with Black to move. 182 Nunn, 1992 (182): White must bring his knight into play. 1 ^g3! Wf2+ l... Wd4 is met by 2 Wc2+. 2 Фе8+! <ig6 2... ФЬ6 (2...*g8 3 Wc4+! ФЬ7/8 4 Wh4+ and 2...ФЬ8 3 We5+ ФЬ7 4 Wh5+ lead to the same thing) 3 Wc6+ ФЬ7 (3...*g7 4 2>h5+ ФЬ7 5 2>f6+ *g7 6 Wd7+ *g6 7 Wh7+ wins) 4 We4+ i’g? (4...Ф116 5 Wh4+ transposes) 5 Wg4+ ФЬ8 (or Ф117) 6 £lf5! Wa7 (6...Wb2 7 Wh4+ *g8 8 21e7+) 7 Wh4+ *g8 8 *g7 9 Wg5+ mates. 3 Wc6+! Wf6 З... Ф117 4 We4+ and 3...*g7 4 £lh5+ are as in the last note. 4 Wc2+! Not 4 We4+? i’gS drawing. 4 ... ФЬб 5 Wh2+! Фв6 6 Wh5+! Фё7
QUEEN AND KNIGHT V QUEEN 119 7 ^f5+! *g8 8 Wg4+ White is aiming for a position with on e7 and W on g4 against Ф on h7 with Black to move, which is the position after White’s 6th move in the analysis of zz22. There is more than one way of reaching this goal, for example 8 £ie7+ i’g? 9 Wg4+ ФЬ7 10 Wh3+ *g7 11 Wg2/g3+ Ф117 12Wg4 leads to the same con- clusion. After 8 Wg4+ play continues 8...ФЬ8 9 Wh3+ *g810 £>e7+! *g7 11 Wg3+ (or Wg2+) ФЬ7 12 Wg4! and White wins very much as before. My next study is based on an idea which had already been shown by two Soviet composers: 183 /= Kondratiev and Umnov, 1978 (end of study) 3rdPr., All-Union USSR Team Ch. (183): The position given (with Black to move) arises after some spectacular introductory play. The point is that after 1 ...Wgl White can force a draw by playing 2 Wh 1! Wg5 3 Wh4! Wg2 4 Whl! Wg3 5 Wh2!, an attractive fourfold defensive queen sacrifice. I had the idea of turning this draw into a try: 184 Nunn, 1991 (184): Clearly the knight should move so as to open up the W-ьФ bat- tery, but which is the correct square? 1 2>f4! The try is 1 Ste3? Wh8! (l...Wf2+ and l...Wb2 lose to 2 ФЬЗ+, while l...Wc6 fails to 2 Wg4) and Black draws exactly as in the previous dia- gram. 1 ... Wb2 White threatens mate by ФТЗ+, so there isn’t much choice. The other lines are l...We7 2 ФТЗ+! ФЛ 3 Wc4+! Фgl 4 Wcl+, l...We5 2 ФГЗ+ ФЛ 3 Wg2+ Фе1 4 2>d3+ and l...Wc3+ 2 ФЬ4+! ФТ2 3 Wg2+!. 2 Wg6! Surprisingly the immediate 2 ФГЗ+? ФП! 3 Wc4+ Фgl! 4 2>h3+ (4 £1е2+ ФЛ! also leads to nothing) ФЬ2! doesn’t work because after 5 Wf4+ (5 Wc7+ ФЫ is the same)
120 Secrets of Pawn less Endings ФЬ1 6 £lf2+ (the white queen cannot check on the first rank from f4 or c7) Wxf2+ 7 Фх12 Black is stalemated. On the other hand with the queen on g6 White threatens 3 Ф(3+! ФП 4 Шб+! Фё1 5 £h3+! ФЬ2 6 Шб+! ФЫ 7 Wdl+i. It turns out that there is nothing Black can do to improve his position. 2 ... Wf2+ There are two other continuations, 2„>h2+ 3 ФТЗ+ ФЫ 4 We4 Wgl 5 Wd5 and 2..>a2 3 ^e2+ ФП (or 3..>xe2 4 Wbl+ Wfl 5 Wb6+ mat- ing) 4 W5+ Фе1 5 Wf2+, with a win for White in both cases. After 2...1ЙТ2+ White wins by 3 ФЬЗ+! ФП (З...ФЫ 4 Wbl+) 4 Wbl+ ®el 5 Wb5+ Фgl 6 ®g5+ with a speedy mate. The next study is unusual in that six of White’s first seven moves are non-checking. 185 Nunn, 1992 (185): White plays 1 21d5! The alternative 1 £ie6? 18117! 2 Wal+ Фg8 3 Wgl+ ФЬ8 4 Ш4+ Фg8 appears dangerous, but in fact White cannot make progress. 1 ... Wh7 This is our main line, but l.-Wg? (l...Wd6 loses to 2 Фf7+! ФЬ7 3 Wg8+ ФЬб 4 Wg7+! ФЬ5 5 2>f6+ and other queen moves lose to ФТ7+ in a similar way) 2 4ie7! is also inter- esting: 1) 2...W63 #М+Ф874'й^1/2+ ФЬ7 5 1&g4 leads to the position af- ter White’s 6th move in the analysis of zz22. 2) 2...W7 3 Фd7+ Фё7 4 W3 transposes to the analysis of diagram 177 after White’s 5th move. 3) 2...ФЬ7 3 We4+ ФЬ8 4 Wh4+ Wh7 5 W4 is the position after White’s 11th move in zz22. 4) Other queen moves lose after 3 ФТ7+ followed by 4 Whl+ or 41&е4+. 2 2>e7! 2 £rf6? is tempting, failing only to 2...ИЪ7!. The position after 2 l$Se7! arises in Mann’s analysis given after zz22. Here we present the shortest win. 2 ... Wbl The only move to put up a genuine fight. 2..>h5+ 3 ФТ8! ФЬ7 4 Bj4+! ФЬб 5 Bj6+ Фё5 6 W5+, 2..>g7 3 Фd7+ ФЬ7 4 Whl+ Wh6 5 Wbl+ ФЬ8 6 Wb8+ and 2...Ф87 3 Wal+ ФЬб 4 Wcl+ Фg7 5 Wg5+ ФЬ8 6 Ф18 all lose quickly. 3 ФТ7+! ФЬ7 4 ®d5! The black queen covers hl and e4, while the check at g8 only drives Black to safety, so White has to re- sort to another quiet move.
QUEEN AND KNIGHT V QUEEN 121 4 ... Wfl+ 5 4bfS! Threatening 6 ^еб with decisive mating threats. 5 ... Wbl Other moves: 1) 5..Jikgl 6 ФГ8 (threatening 7 Wf7+) *g6 (6...ФЬ8 7 Wc4 Wg5 8 Wc3+! ФЬ7 9 Wc7+! mates) 7 21e7+! (not 7 Wg8+? ФЬ5! and the stalemate defence leads to a draw) ФЬб 8 2>g8+! *g6 9 W7+ *g5 10 1Brg7+ safely winning the queen. 2) 5...Wh3 6 2g3 ФЬб (other- wise a check on the d3-h7 diagonal wins) 7 Ж12+ ФЬ7 8 Ж13+ and mates. 3) 5...Ш1 6 Wg2 Ш7+ 7 ^e7! and wins. 4) S...Wcl 6 We4 and there is no defence. 6 ®d7! Wb6 Or 6„>gl 7 *f6+ ФЬ8 8 We8+ WgS 9 WeS Wg2/gl 10 2g3, a ma- noeuvre we have seen many times before. 7 2x16! The move 7 Well is tempting and Black has to find a series of forced moves in order to refute it: 7...Ж18! 8 Wb7 Wa8! 9 It 7 Wb8!, with a threefold defensive queen sacrifice. After 7 2d6! White wins by 7..Ж2+ (7...ФЬ6 8 Bj6+ ФЬ5 9 ^6+ wins at once) 8 Фе8+! i’gfi (S—i’gS is also met by 9 Wg4+, while 8...ФЬ6/Ь8 lose to 9 2f7+ ФЬ5/Ъ7 10 Wh3+ Фё6 11 Wg4+ and mates) 9 ®g4+ ФЬ7 10 2if5 ®a7 (10...Wb2 is met the same way) 11 «Ъ5+ Ф28 12 2>e7+ winning the queen or mating. We finish with the longest possi- ble win in the ending of W+2i v W: 186 /- The longest win (35 moves) (186): Of course Black is to play. 1 ... Фе8 2 2d8+! Ф18 3 2te6+! ФП 3..^ g8 4 WeS+J ФЬ7 transposes to the main line after Black’s 15th move. 4 Ш7+! ФТ6 4..^ g8 5 Ж18+ is the same as the last note. 5 We7+! ФТ5 6 Wf7+! Фе4 7 Wb7+ White can play the next phase in two different ways, according to whether he plays 2c5+ now or later. In the former case the continuation 7 2k5+ Фd4 8 Ж15+ ФсЗ 9 Wb3+! Фd2 10 Wb2+! ФеЗ 11 Wc3+ trans- poses into the main line. 7 ... Фаз 7... Фf5 8 Wb5+ transposes to the main line after White’s 14th move. 8 Wb3+! Ф<12
122 Secrets of Pawnless Endings 8... Фе4 9 Ж15+ and 8...Фе2 9 £lf4+! lose much more quickly. 9 Wb2+! Фаз Likewise 9...Фе1 is answered by 102>f4!. 10 2>c5+! ФеЗ 11 ®c3+! ФТ4 Here there is an important branch. Black may also try: 1) 11...Ф12 12 2>d3+! *f3/g3 (or 12...ФП 13 Wel+ Фg2 14 2rf4+! ФЫ 15 ^4+ and wins) 13 £le5+! Ф42 (13...Фе2 meets with the same reply, while 13...ФГ4 14 Wc4+! wins after 14...ФГ5 15 Wf7+ or 14..^g3 15 Wg4+ *f2 16 2kl3+) 14 Wc2+ ФgЗ (14...ФП 15 Ш1+ ФТ2 16 £к13+ Фё2 17 2>f4+) 15 Wg6+ *f2 16 2kl3+ ФП 17 Wf5+ Фе2 (or 17...<ig2 18 Ш+ ФЫ 19 Wh7+) 18 2>f4+ Фd2 19 Wd3+ wins. 2) И...Фе2 12 Wd3+! Фе1 (or 12...ФТ2 13 2>e4+! Фg2 14 Wg3+! ФЫ 15 #h3+!) 13 Wbl+! ФТ2 14 2kl3+! Фg2 15 2>f4+! ФЬ2/М 16 Wh7+. 12 £te6+! Фе4 13 Wc6+! ФТ5 Or 13..ФМЗ 14 2rf4+! Фd2 15 Wd5+! Фе1 (15...Фс2 16 Wa2+!) 16 We44^d2 17 ШЗ+. 14 Wb5+! Фg6 14... *f6 fails to 15We5+!i>f7 16 2>g5+ Фg6 17 Bj8+!. 15 ®e8+! ФЬ7 15..^ f5 16 Wh5+ *f617«Ъ8+. 16 Wf7(e7)+ ФЬб 16... Ф118 17 W6+ Фе8 18 Wd8+ ФЬ7 19 2>g5+ Фg6 20 We8+l. 17 ®f6+! ®g6 Or 17...ФЬ5 18 Wh8+. After 17...1Brg6 we have reached the Saren study (diagram 134 on page 89) analysed earlier. The finish is 18 Wh4+! Wh5 19 ®f4+ ФЬ7 20 ®f6! Wh2+ 21 Фд7! Wd2+ 22 Фе8! Wh6 23 2>f8+! Фв8 24 ^g6! >g7 25 Wf5 ФЬ7 26 21e7+! ФЬ8 27 ®h5+ Wh7 28 We5+ Wg7 29 Wh2+ Wh7 30 Wg7 31 Фа7! ФЬ7 32 Wh4+ Wh6 33 ®e4+! ФЬ8 34 Ш8+ Ф87 35 &f5+ and wins.
5 Queen and Bishop v Queen In general this ending is a draw. Normally Black’s queen can annoy White with checks, or pin the bishop, and White is unable to make progress. How- ever, in the right circumstances the queen and bishop can form a powerful at- tacking force, and if White’s pieces are active and Black’s king is in a vulnerable position then he may be in serious trouble. In one respect White’s chances are better than in the ending of 'ЙЧ-Ф v 'H, in that a bishop can rapidly reach an active position from any square on the board, whilst a badly placed knight can only limp slowly into the action. Therefore, if the defender does make an oversight, it is more likely to have serious consequences with a bishop than with a knight. Nevertheless, I would not regard the ending as be- ing worth continuing in practice except with a favourable initial position. All the examples in this chapter are composed positions. Endgame study composers have been even more enthusiastic about this material balance than that of'ЙЧ-Ф v W, and I have found hundreds of studies which either start with W+± v < or reduce to it during the course of the solution. There is less sub- tlety in this ending than in 'ЙЧ-Ф v W. If the position is winning, White can usually win by a barrage of checks which hound the black king to its death. Sometimes there are ‘quiet’ moves, but their mildness is usually only relative, because they often carry the brutal threat of mate in one. The delicate king moves and zugzwangs of chapter four are largely absent here. That is not to say that all the positions are easy, indeed the fact that so many checks are pos- sible from a combination of queen and bishop can itself be a source of confu- sion, as in some cases only one precise sequence of checks leads to victory. Some of the composers from chapter four reappear here, with H.Rinck, C.Mann and J.Vandiest once again playing a prominent role. I have attempted a rough classification based on the most common ideas in the ending. Themes such as the pivot and staircase are less important here; readers will find them in section 5.4. However, there is a special section on hunting the king, because Black’s king can be chased all over the board by the queen and bishop. Over-the-board players should enjoy this section. 5.1: King in the comer 124 5.2: Stalemate and stalemate avoidance 130 5.3: Hunting the king 135 5.4: Quiet moves and other themes 141 5.5: The 25 reciprocal zugzwangs 148 5.6: Original compositions 151
124 Secrets of pawnless Endings 5.1: King in the comer The title is perhaps slightly mislead- ing, because I will cover only one precise formation with Black’s king in the comer. This is the situation in which Black’s king is on h8 and his queen on g8, with White’s bishop on the bl-h7 diagonal. If you add the white queen somewhere on the sev- enth rank, then Black’s pieces are virtually paralysed; the only moves he can make without allowing im- mediate mate are ...Wg? and ...W7 (the latter is based on the stalemate after Wxf7). Of course, White’s king must also be on the board some- where, and it is the necessity of en- suring that Black does not free himself with a queen check which gives this configuration special inter- est. It is a useful introduction to the ending of W+JL v W, because many of the ideas which recur throughout the chapter appear here in a simpli- fied form. In this highly restricted situation, it is possible to give a more or less complete classification based on the position of White’s bishop. We will start with the bishop on d3 and grad- ually move it up the diagonal. Readers should note that in this sec- tion I have rotated and/or reflected all the positions so that Black’s king is on h8 and his queen on g8. This fa- cilitates the comparison of many very similar positions. In the first case White’s bishop is on d3: (187): This position has been re- discovered by various composers 187 Kling and Horwitz, 1851 over the years, for example Centur- ini (1853) and Berger (1890). If the white king were not blocking the square h4, then White could win by 1 Wd4+ l'g7 2 Wh4+ 4>g8 3 JLc4+ ФТ8 4 ijjiyg mate. Black is so tied up that White can afford to play 1 ФЬЗ!, clearing the vital square and win- ning after l..>g7 (1...W7 2 Ж14+! either wins the queen after 2...i>g8 3 JLc4! or transposes after 2...1&g7 3 Wh4+!) 2 Ж18+! Wg8 3 W6+ (or 3 Ш14+) Wg7 4 Wh4+! *g8 5 JLc4+! <S?f8 6 Ж18 mate. Black to move draws by 1...W7! (but not l...l&g7?, losing as in diagram 188) 2 Ж14+ Wg?! and White cannot make prog- ress because he has no access to h4. (188): This study shows that dia- gram 187 remains a win if White’s queen is moved from d7 to e7, but the winning method is totally differ- ent. Incredibly, this discovery was not made until 1983. White may play: 1) 1 Wb8+ (not 1 Wxgl? stale- mate) Wg8 (l...<S?g7 2 We5+! wins
Queen and Bishop v Queen 125 188 lead to variations already analysed) 7 JLc4+! ФЬ7 (7..^g7 8 We5+) 8 Wf7+! Wg7 (8...Ф116 9 W15+! Фё7 10 We5-t-! and wins as before) 9 JLd3+! ФЬ8 10 1ЙГЬ5+ transposes to line 1. It is worth noting that moving White’s queen to c7 or b7 maintains the win in diagram 187 (because 1 We5+ or 1 Wb2+ Wg7 2 Wb8+ Wg8 3 We5+ lead into diagram 188), but if the queen starts on a7, then the po- sition is a draw. Missiaen, 1983 4th Comm., Schakend Nederland after 2...*f7 3 i.c4+! *g6 4 Bj6+ ФЬ7 5 JLd3+ *g7 6 We7+ *g8 7 i.c4+ ФЬ8 8 Wf8+, or 2...ФГ8 3 Wf6+! *g8 4 Wd8+ *g7 5 We7+ with the same conclusion) 2 WeS-t- Wg7 3 Wh5+ *g8 4 i.c4+! *f8 5 W3+! Фе8 (5...Фе7 6 W7+ is one move faster) 6 WaS-f- Фе7 7 1й,а7+ *f6 (7...*f8 8 Wb8+ Фе7 9 Wc7+) 8 Wb6+! *f5 (8...Фе7 9 Wc7+) 9 JLd3+! *f4 10W2+! Фе5 11 Wb2+ wins the queen. 2) 1 Wb2+ (this leads to a similar win, although more slowly) <S?g8 (l...1Brg7 21iihj8+! winsasin line 1)2 Wb8+ (Missiaen only gave 2 JLc4+ ФЬ7, when White has to return by 3 JLd3+ in order to maintain the win) *f7 (2...*g7 3 We5+ as in line 1) 3 JLc4+! Фе7 (3...*f6 4 Ж16+ *g7 5 WeS-h, and now both 5...Ф117 6 JLd3+ Фg8 7 We8+ Фё7 8 We7+ and 5..^g6 6 ^ебч- win as in line 1) 4 Wc7+! Фе8 5 JLb5+! ФГ8 6 Ш+ Фё8 (6...Фе7 7 Bj5+! ФГ8 8 W6+ Фg8 9 JLc4+ and 6..^g7 7 Bj5+! 189 Koppelomaki, 1969 Stella Polaris (189): In this case the main inter- est lies in White’s precise king moves: 1..>а8+ (1...1Ъ2+ 2 ФЬЗ! wins after 2...'i&g7 3 Ш18+ as in dia- gram 187, or 2..^?g8 3 WeS-b Фg7 4 Bj7+! Фё8 5 i.c4+ ФЬ8 6 Ш+) 2 ФgЗ! (2 ФЬ2? Wa2+! 3 ФЬЗ Фg8! draws since Black’s queen covers the bishop check on c4) Wg8+ (2...1ЙЫ 3 We8+ Фg7 4 We7+ and 2..>b8+ 3 ФЬЗ are also hopeless) 3 ФЬЗ! (3 ФЬ4? Wf7 ’ draws as in diagram 187)
126 Secrets of Pawnless Endings and we have transposed to diagram 187. Now suppose that White’s bishop is on e4. If h4 is free, then White can still win by W6+, Wh4+ and JLd5+, but moving the bishop from d3 to e4 in diagram 187 destroys the win, be- cause after 1 ФЬЗ Black has a check on b3. However, some positions which were drawn with the bishop on d3 are wins when the bishop is moved to e4. Here is one example: 190 +/= Mann, 1913 Utrechts Dagblad (190): White to play wins by 1 Wa8+! Wg8 2 W7! (2 Wb7? is met by 2...W7!) Wgl (now Black has no choice, because 2...W7 loses to 3 Wd4+! Wg7 4 Wd8+! Wg8 5 W6+ Wg7 6 Wh4+ and so on; note that with the bishop on d3 Black would have a check on d5) 3 1ЙЪ8+! WgS 4 We5+ Wg7 5 We8+ Wg8 6 Wd7 (White’s queen should stay in con- tact with d4, in order to inhibit the re- ply ...ЧИП; in fact 6 We7 maintains the win, but White has to repeat the position after 7 We5+! Wg7 8 We8+ and so on) W7 (6..>g7 7 Ж18+ wins as in the main line) 7 Ж14+! Wg7 8 Ж18+ Wg8 9 W6+ Wg7 10 Wh4+ *g8 11 JLd5+! *f8 12 Wd8 mate. 191 Halberstadt, 1967 Problem (191): Halberstadt’s refined ver- sion adds two black queen sacrifices and a subtle king move to the main line. White wins by 1 JLe4+! ФЬ8 2 ^7! (not 2 WxgS? stalemate, nor 2 W8+? when Black can interpose with check) Wg8+ (2...i>g8 3 JLd5+ ФЬ8 4 Ш+) 3 ФЬ4! (3 Фс5? Wg5+) W7 (the second sacrifice; 3...Wt>8-»- loses after 4 Фа5 WgS 5 W6+) 4 We5+! Wg7 5 Bj8+! Wg8 6 Wd7! (White makes contact with the key square d4; this position was discov- ered by Mann in 1913, but Halber- stadt’s version is far superior) W'f8-t- (the other lines are b-WhS-b 7 Фа4! Wg8 8 Ж14+! Wg7 9 Ж18+! Wg8 10 Wb+ and 6...W7 7 Ж14+! Wg7 8 Wd8+! Wg8 9 Wb+) 7 ФЬ5! (7
Queen and Bishop v Queen 127 Фа4? appears similar, but then Black can draw by 7...1ЙЪ6! 8 ^8+ <S?g7! 9 We7+ ФЬ8!, and the move Jlf5, which works in the main line, fails here since Black has queen checks) Wh6 (7...Wb8+ 8 Фа4 and 7...W1+ 8 JLd3! Wil 9 We8+ *g7 10 W7+! <4)g8 11 JLc4+ win comfortably) 8 Ш8/е8+ *g7 9 We7+! ФИ8 (alter- natively, 9...i>g8 10 JLd5+! Ф118 11 We8+! Фg7 12 Wf7+! mates) 10 JLf5! and we have reached a position of reciprocal zugzwang (zzl8 on page 150). Black loses after 10..^g8 (10...1^7 11 Wh4+) 11 Ле6+! ФЬ8 12 W8+ mating. A wonderful com- position. We finish with one original posi- tion: 192 Original (192): White to play cannot win directly, because he has no way to transfer his queen to h4 using checks, and other lines don’t work: 1) 1 W17? Wa8+! 2 ФЬ2 Ш2+! 3 ФЬЗ Фg8! draws because there is no check on c4. 2) lW5+?Wg7 2Wi5-^g8!3 i.c4+ Ф1В! 4 W3+ Фе7 5 Wb7+ ФГ6 6 W6+ and, unlike diagram 188, White’s king is too far away to help in the attack. The winning line is: 3) 1Ле4! Wf7 2W5+!andwins as in diagram 190. This is one of the few situations in which White wins by moving his bishop along the bl-h7 diagonal. Now we progress to the case with the bishop on f5. 193 +/= Centurini, 1858 Bakinski Rabochi (193): Once again the problem is that White’s king is blocking the important square h4. Nevertheless, White to play can win by 1 W5+ Wg7 2 We8+ Wg8 3 Wh5+ Фё7 4 Wg6+ Ф18 5 Wd6+! Фg7 (after 5...ФГ7 6 JLe6+ Фе8 White must be careful to give a queen check before taking on g8) 6 Фg5! (this move only wins when the bishop is on c2 or f5) ФЬ8+ (f5 is a good square because after 6...1йга2, for example, White
128 Secrets of Pawn less Endings wins by 7 Ш6+ *g8 8 JLe6+ ФЬ7 9 Wh6 mate using the fact that e6 is covered by the queen) 7 JLg6! (7 ФЬ5? is met by 7...'й,е8+! drawing, and not 7..>f7+? 8 *g5! when White gets a second bite at the cherry) Wc4 8 W8+! and mates. Black to play draws by l..>c4+! 2 ФИ5 Wf7+! forcing stalemate. However, it is worth noting that White has a second winning method, hitherto unknown, in Centurini’s po- sition. This plan runs 1 Ж:7! (White must cover c4), when both 1...W7 2 Bj5+! and l..>g7 2 Wb8+ Wg8 3 WeS-b transpose to the first winning method. The importance of this line is that it proves White (to play) wins no matter where his queen starts on the seventh rank. With the bishop on g6, the win- ning lines given above don’t work, but an important new attacking idea appears. Because it depends on zug- zwang positions, the location of White’s king is critical. (194): The surprising feature of the new plan is that it involves driv- ing Black’s king out of the comer, where it is apparently most vulnera- ble. White continues 1 Ж:8+! (the first step is to transfer White’s queen to d8 with gain of tempo) Wg8 2 Wc3+! Wg7 3 1ЪЗ+! *g8 4 Bj6+! (this characteristic manoeuvre first brings the queen to e8) ФЬ8 5 We8+! Wg8 6 Bj5+! Wg7 7 Wh5+! Фg8 8 Ж15+! (Black still cannot meet this check by ...ФТ8, so the queen inevi- tably reaches d8) ФЬ8 9 Ж18+! WgS 10 1ЙЪ4+! (the old winning plan of Wf6+ followed by 1ЙГЬ4+ doesn’t Mann, 1913 litrechts Dagblad work when the bishop is on g6) Фg7 11 l&g5! (this is a zugzwang position but, as we shall see below, it is not a position of reciprocal zugzwang) and now: 1) H...Wh8+ 12 JLh5+! Фf8 13 »с5+Ф87(13..^8 14Wd5+isthe same) 141Sire54^g8 (or 14...ФЬ7 15 W5+) 15 We6+ Фё7 16 Wg6+ and mate next move. 2) H...Wb8 12 JLe8+ Фf8 (or 12...ФЬ7 13 Wh5+ Фg7 14 Wf7+ ФЬ8 15 W8+ ФЬ7 16 JLg6+ wins the queen) 13 W6+ Фg8 14 W7+, followed by W8+ and JLg6+ as be- fore. 3) 11...Ш8 12 JLf5+! ФЬ8 (or 12...ФП 13 Wg6+ Фе7 14 Ш+ and mate) 13 ^115+ Фg7 14 Wgb-t- and 15 Wh7 mate. The key to the above position is the situation after White’s 11th move, so we will examine this in more detail. (195): If Black is to play, then White wins only if his king occupies dl or one of the marked squares. The
Queen and Bishop v Queen 129 195 reason is that the variations from diagram 194 guarantee a win pro- vided Black has no annoying queen checks. When the king is on g 1 or d7, Black has no check at all, while on fl the lines 1...1йгс4+ 2 JLd3+ and l...W8+ 2 JLf5+ win for White; fi- nally, on dl the only additional line is l...Wb3+ 2 JLc2+. Readers may check that these are the only safe squares. Since the squares fl, gl and hl are connected these cannot give rise to positions of reciprocal zug- zwang, because if, for example, the king is on fl with White to move, then 1 i’gl still leaves Black in zug- zwang. On the other hand dl is an isolated square, and the position with the king on dl is reciprocal zug- zwang (Mann discovered this posi- tion; see zz22 on page 150). When the king is on d7 White has the crushing threat of 1 JLf5+ (or any- where else on the same diagonal, ex- cept for h7), so this is not zugzwang at all. When White is to play, he can of course win if his king is within one square of any of the zugzwang squares (i.e. if his king is on cl, el, fl, gl, hl, c2, d2, e2, f2, g2, h2, c6, d6, e6, c7, d7, e7, c8, d8 or e8). He can also win if his king starts on f4, h4, e5, f5 or h5. The squares e5 and f5 are clear enough, because they al- low 1 W6+, and with the king on h5 White can play 1 JLh7+, amongst many other moves. This leaves f4 and h4 to be explained. For this, we need a separate diagram. 196 Original (196): Black to play draws by 1...1йгс4+. White to play wins by 1 JLc2+! (only this square wins; 1 JLf5+? *f8! 2 Ш8+ *g7! 3 Wd4+ Ф116! 4 W6+ ФЬ5! is drawn because the bishop has not moved far enough to provide a check on the dl-h5 diag- onal) *f8 2 Wc5+ *g7 (if 2...Фе8, then 3 Wc8+) 3 We5+ *f8 (З...ФЬ6 4 W6+) 4 Ш6+! *g7 5 *g5!. Now 5...Ф118+ loses to 6 JLg6! as in dia- gram 193, and 5...W7 fails after 6 ±f5!, when Black is helpless against the threat of Wh6+ followed by Ae6 (with or without check!). Therefore
130 Secrets of Pawnless Endings Black has to move his queen to c4 or a2. Against this, White intends to play Wf6+ followed by Фбб, but now the position of his bishop be- comes important. On c2 it is ideally posted, as it both prevents 5...Wb3 directly and blocks the second rank, thereby preventing queen checks af- ter 5..>a2 6 Wf6+! *g8 7 ФЬб!. Finally, 5..>c4 6 Wf6+! *g8 7 ФЬб! is again winning, this time because the bishop prevents ...Wcl+. Had White started with 1 JLbl+?, Black would defend by 5...Wb3 or 5...Wc4, while 1 JLd3+? would leave the sec- ond rank open and allow a draw by 5„>a2!. Exactly the same line wins if White’s king starts on h4, so we have now covered all the possible winning squares mentioned above. 5.2: Stalemate and stalemate avoidance We have already seen a couple of cases of stalemate avoidance in the above section (after ...'Hfl by Black, for example). In this section we ex- amine such ideas more systemati- cally. The combined force of queen and bishop can cover a lot of squares, and it is not surprising that stalemate ideas arise when Black’s king is trapped on the edge of the board. Cu- riously, study composers do not have a particularly good record when it comes to finding a correct setting for stalemate ideas, because they often overlook a stalemate avoidance by Black which allows him to secure the win! In the first two examples the stale- mate arises after a long period of ac- curate defence. 197 =/= Kozirev, 1976 10th Special Comm., Sportivnaya Gazeta (197): This position (with Black to play) arises after the first three moves of Kozirev’s study. Black can hound the white king as far as g8, but in the end he is frustrated by stale- mate: l..>dl+2*e3!Wd3+3*f4! Wf3+ (this is a typical king-hunting idea; White’s moves are forced be- cause the long diagonal is off limits) 4 *g5! Wg4+ 5 ФЬб! Wh5+ 6 *g7! We5+ 7 *g8 (7 ФИ7 leads to the same conclusion) JLc4+ 8 ФЬ7! JLd3+ 9 i’gS (Black cannot win this position because his king is too far away) We 8+ 10 i’g?! We7+ (Black forces White’s king towards his own king) И ФЬб! ФЬЗ (curiously enough, Black could not win this po- sition even if it were his turn to move, but this is irrelevant because White has no waiting move) 12
Queen and Bishop v Queen 131 Wc8+! (12 Wd4? Wh7+ 13 *g6 Wg6+ 14 ФГ4 Wg3 mate) ФЬ4 (the reply is forced, because otherwise there are too many mating threats) 13 Wg4+! <£)xg4 stalemate. 198 /= Vandiest, 1977 Schakend Nederland (198): Only the most accurate defence enables White to save the game: l...We6+ 2 <S?g3! (2 Ф114? We4+ wins White’s queen) Wd6+ 3 *f3! (not 3 *g4? Wf4+!) Wf4+ (3...1Brd341iirg7+draws)4,4>e2! We4 5 Wal+! (the only move, since 5 Wh3? JLh6+ 6 *dl Wd5+ wins after 7 Фс2 Wa2+! or 7 Фе2 Wd2+ 8 Ф13 We3+ 9 i>g4 Wf4+ and mate) ФЬ2 (5..^?g2 is met by 6Wa2! ФgЗ 7 Wb3 Wg2+ 8 ФdЗ! Wd2+ and now White can draw with either 9 Фс4 or 9 Фе4) 6 Wa6! (the only safe light square on the board; 618118+ Фg2! 7 Wg7+ JLg5+ 8 Фdl Wd3+ and 6 Wfl JLf4+ 7 Фdl Wbl+ 8 Фе2 Wb5+ 9 Фе1 JLg3+ lose quickly) JLg5+ 7 ФП (White can also draw with 7 Фdl, which transposes after 7... Wbl+ 8 Фе2! Wc2+ 9 Фf 1! Wg2+) Wg2+ (7...Wf3+ 8 Фе1! ФgЗ may be met by 9 Wd3 or 9 Wd6+ Фg2 10 Wh2+, with stalemate in ei- ther case) 8 Фе1 Wd2+ 9 ФА ФgЗ 10 Wa3+! (not 10 We2? Wf4+! 11 Фе1 Wcl+ 12 Wdl Wc3+ 13 ФП Wf6+ and mates) JLe3 11 Wxe3+! Wxe3 stalemate. In the following two examples, the play is not deep but the stalemate is unusual and could easily be over- looked in a game. 199 =/ Tkachenko and Mansarliisky, 1983 (end of study) HM, Chervoni Gimik (199): Play starts 1 ФГ6! (not 1 ФЬб? Wcl+ 2 Фё7 Wg5+ 3 ФЬ7 JLd3+ 4 ФЬ8 Wh6+! 5 Фg8 Wh7+! 6 Фf8 Wh8+!, nor 1 Фё7? Wgl+ 2 ФЬ7 JLd3+ 3 ФЬ8 Wd4+! 4 Фg8 JLc4+! 5 ФЬ7 Фg5, with the threat of 6...Wh4+ 7 Фg7 Wh6 mate, and if 6 Wc6 then 6...Wa7+ 7 ФЬ8 Wb8+ 8 Фg7 Wg8 mate) Wb2+ and now: 1) 2 Ф^? Wg2+ 3 ФЬ7 (3 ФЬб Wg5+ 4 ФЬ7 JLd3+ transposes into 1
132 Secrets of Pawnless Endings ФЬб?) Wc2+ 4 *g7 (4 ФЬб Wcl+ transposes to the main line) Ж:3+ 5 ФЬб Wcl+ 6 i>g7 Wg5+ again leads into the analysis of 1 ФЬб?. 2) 2 ФТ5? Wb5+! 3 Ф44 (3 Фе4 Ж15+ transposes) Wg5+ 4 ФГЗ (4 Фе4 Ж15+ leads to the same thing) Wd5+ 5 ФеЗ (5 ФГ4 Wd4+ trans- poses) Wd3+ 6 Ф44 Wd4+ 7 ФГЗ JLd5+! 8 Фе2 Фё3! 9 Wc7+ (9 Wf5 JLc4+! 10 Фе1 Bj3+! and 9 Wb8+ Фg2! 10 W8 JLc4+! lose more quickly) Фg2! 10 Wc2 JLf3+! 11 Фе1+ igl! 12 WgfH- (what else?) Jlg4 13 Wc2 We3+ and mates next move. 3) 2 Фе7! We5+ 3 Фd8 i.b5 (the deadly threat of 4...Ж16+ cannot be met by 4 WcT, because of mate on e8) 4 Wc5! (a surprising defence, which solves all White’s problems) Wxc5 stalemate. 200 /= Yakimchik, 1969 5th Comm., ‘64’ (200): The solution is short but sharp: l„>e5+ 2 Фа2 (2 ФЫ? 1ЙЪ5+! 3 Фа2 Фс2! wins after 4 «Т2+ JLd2! or 4 Wc8+ i.c3!) Фс2 with the threat of mate in one. 3 ^12+? is no defence, due to 3...JLd2! 4 Wb6 Wd5+! 5 ФаЗ Wa8+ and mate, but astonishingly 3 Wb4! saves the game, for example after З...Ж15+ 4 Фа1! Whl+ 5 Фа2! Black cannot relieve the stalemate. Not all attempts to compose stale- mate studies have been as successful as the above examples. 201 Maniakin, 1985 3rd HM, Schach (201): This was intended to be a ‘White to play and draw’ study, but it is unsound because the initial posi- tion is a win for Black. After the in- tended 1 Фе1 We3+ 2 Фdl, Black has an attractive win by 2...We 2+ (Maniakin analysed 2...Wd3+ 3 Фс1 Wbl+ 4 Ф<12 Wb2+ 5 Фdl Фё2? 6 Фе1! JLf3 7 Wc2+! Wxc2 stalemate, even though Black could win as late as move five by 5...We2+) 3 Фс1 Wel+! 4 ФЬ2 Wb4-t-! 5 Фс1 (5 Фа2 i.d5+ 6 Фа1 Wa3+) JLf5! 6 Фdl (af- ter 6 Wc6+ Ф12 White is helpless
Queen and Bishop v Queen 133 against the threat of ...Wbl+, while other moves lose to simple checking sequences such as ..3i6bl-c2-e2 or ,.>c3-c2-e2) Wbl+ 7 *d2 (7 Wcl Wb3+ 8 Фе1 ^еб-Ь mates) 1ЙЪ2+ 8 Ф<11 JLg4! and there is no defence to the discovered checks. Vandiest tried to turn Maniakin’s idea into a ‘White to play and win’ study, but his position W'4’c4,JLd5, Ac7 v ВФа4,1й^7, published in EBUR (1993), was also unsound. By moving Maniakin’s position one square sideways, he introduced a new flaw, because after 1 св® Фа5 2 Wc5+ Фаб 3 Wb5+ Фа7 4 Wa5+ ФЬ8 there is no need for any subtle- ties (Vandiest gave a complicated win starting with 5 Ж18+), since 5 Wb6+ Фс8 6 JLe6+ finishes Black immediately. Perhaps the simplest correction is to modify Maniakin’s position slightly to WФfЗЛiiЪЗ,±dЗ v ВФе1, Wc7, with White to play and win (1 Bj6+! Фdl 2 Bj2+! Фс1 3 Bj1+! ФЬ2 4Wb4+! Фс1 5 JLf5! etc.). In the following position, a failed stalemate study became a sound stalemate avoidance. (202): An identical position arose in a ‘White to play and draw’ study by Fritz (1939). His analysis contin- ued 1 Фс4+ Фс1! 2 Wbl+ Фd2! 3 Wxgl stalemate. But it turns out that 1 Фс4+? is a mistake, and Maksim- ovskikh and Supletsov used this fact to create a new, sound study. The so- lution runs 1 Фа4+! (White must avoid defending the bishop and thereby setting up a stalemate) Фа1 (1...ФсЗ 2 Wb3+! Фd2 3 Wc2+! Maksimovskikh and Supletsov, 1985 (end of study) 1st HM, Ceskoslovensky Sach ФеЗ 4 Ж:5+ wins) 2 WeS+J (a sec- ond stalemate avoidance; 2 WaS? is answered only by 2...^2!, and not 2...1ЙЪ6? 3 Af5 Фа2/Ь2 4 Wg2+ Фа1 5 Wfl+ Фа2 6 Wc4+ ФЬ2 7 ^2+ Фа1 8 Wcl-t- with mate next move) Фа2 and now: 1) 3 ФЬ4? 1ЙЪ6+! (amusingly enough, the composers gave the spu- rious third stalemate З...Ж14+?, overlooking that White wins with 4 JLc4+!) 4 i.b5 Wf2! 5 JLc4+ ФЫ! 6 JLd3+ Фс1! and Black escapes. 2) 3 Wd5+ Фа1 4 Wa5 ФЬ2 (this loses immediately, but there is noth- ing else) 5 Wb4+ winning the queen. Now we consider a few positions in which stalemate avoidance is the main theme. The first example is straightforward. (203): On two occasions White turns down the offer of Black’s queen: 1 WgS+i ФЬб 2 ^ебч-! (2 Wxg2? stalemate) Фg5 (2...1Brg6 3 ^7! wins, because immediate mate
134 SECRETS OF PAWNLESS ENDINGS Halberstadt, 1927 (end of study) Shakhmatny Listok 204 +/= Neustadtl, 1890 Chess Magazine can only be avoided by playing the queen to gl, g2 or g3, and then 4 W6+ Wgb 5 Wh4+ mates in any case) 3 We5+! (after 3 Wg8+? *h4! Black’s queen sacrifice really does lead to a draw) Sfrh4 (3...&g6 4 Wg7+) 4 1ВТ4+! ФЬЗ 5 i.fl! and now the black queen can be safely captured. The next two studies employ the same basic stalemate mechanism, but the play is somewhat different. Other composers, such as Rinck (1925) and Bernhardt (1948), have used this pattern, but here we give only the prototype and one modem interpre- tation. (204): White has various checking sequences which lead to the same finish. The composer’s solution runs 1 Ш15+ (1 Wg5+ is just as good) ФеЗ (1...Фс1 2 Wc4+ ФЬ2 3 Wb4+ transposes into the main line) 2 j&c5+ (the quickest win; after 2 We5+ &d2 White cannot capture the queen, and must go into reverse gear) ФЬЗ (or 2...ФЬ2 3 Wb4+) 3 JLd5+ ФЬ2 4 fd4+ ФЫ 5 i.e4+ Фа2 6 Wa4+ ФЬ2 7 Wb4+ Фс1 8 Фе1 and Black has no way to avoid mate. 205 +/ Pogosiants, 1983 Shakhmaty v SSSR (205): It is difficult to compose a W+JL v W study in which all the moves are strictly unique, because there are often various sequences of checks leading to the target position.
Queen and bishop v Queen 135 This example is a case in point. White wins by 1 JLf5+! Фd2 (or 1...ФсЗ 2 Wh8+ *d2 3 Wh2+ ФеЗ 4 We5+! transposing into the main line) 2 Wg5+ (2 ’®g2+ is just as good, as 2...ФсЗ is forced, and then 3 Wg7+ transposes) ФеЗ (2..Фч11 3 Wgl+! Фd2 4 We3+ Фdl 5 We2+ Фс1 6 Wc2 mate) 3 Wg7+ (3 W6+ Фd2 4 Wh6+ is identical) Фd2 (4 Wxal ? is the stalemate motif) 4 Wh6+! (White’s target is e5; the only route is via h2) ФеЗ (4..^dl 5 Whl+! Фd2 6 Wh2+ transposes into the main line) 5 Wh8+! Фd2 6 Wh2+! (the second re- fusal) ФеЗ 7 We5+! Фd2 8 We3+! (for the third time White declines the queen) Фdl 9 We2+ Фс1 10 Wc2 mate. We don’t omit Rinck entirely, though, because he composed our final example of stalemate avoid- ance. 206 +/= Rinck, 1917 British Chess Magazine (206): On three occasions White refuses the offer of Black’s queen: 1 Wg4+! Фd6 2 tdl+! (2 Wxc8? stalemate) Фс5 (other moves allow White to mate in one) 3 Ж:1/с2+ Фd6 4 W2/d3+ (once again Wxc8? is impossible) Фс5 5 Wc3+! Фd6 6 Ж14+! and mate next move by 7 Wd5#. 5.3: Hunting the king The combination of queen and bishop is usually unable to deliver mate by a series of checks, but if no other pieces interfere it is capable of chas- ing Black’s king all over the board. The distinguishing feature of the dia- grams in this section is the passive position of Black’s queen, which al- lows the white pieces a free hand in hunting Black’s king. A second fea- ture is that White’s own king is also exposed, which means that White cannot afford a quiet move which would allow Black’s queen to start checking. One might imagine that if White can only consider checking moves, then calculation would be easy, but this is not so. The large number of alternative checks and the depth of the variations mean that these positions are not at all simple. Vandiest is the master of such po- sitions, and we will see a number of his compositions in this section. (207): In 1978, Vandiest com- posed a slight elaboration of Halber- stadt’s study, but I have preferred to take the original. White wins by 1 Wb4-»-! Фс7 (1...Фа6 2 Wb7+ Фа5 transposes) 2 We7+! (during the first phase of the solution White arranges a W+JL battery, which allows him to
136 Secrets of Pawnless Endings 207 Halberstadt, 1956 =lstPr., UPF improve the position of his bishop with gain of tempo) ФЬб 3 Wb7+! Фа5 4 Wc7+! (readers should note this typical checking idea - White gives a queen check at a diagonal distance of two squares from Black’s king, enabling the bishop to check on the next move; this occurs so often we give it a name, the ‘two- step’) ФЬ5 (4...Фаб 5 JLb7+ mates in two more moves) 5 JLc6+! Фс4 (5...Фс5 6 JLf3+ Фd4 7 W4+! ФdЗ 8 1&е4+ ФсЗ 9 ^еЗ-ь wins after 9...Фс4 10 Wb3+ or 9...Фс2 10 ^2+) 6 JLg2+! (a fantastic move, and the only one to win; after 6 JLb7+? ФdЗ! 7 Wg3+ Фd2! 8 Wf4+ Фе1! 9 We3+ Фf 1! 10 JLa6+ Фg2! 11 Wg5+ Ф13! 12 ЛЬ7+ Фе2 White can give a lot of checks, but he can’t force Black’s king into a comer) ФdЗ (6..^d4 7 W4+ wins after 7...ФсЗ 8 We3+ Фс4 9 Wb3+ or 7..ФМ3 8±А+Фс291Т2-^110 We2+ Фс1 11 We3+ Фс2 12 JLd3+ ФсЗ 13 JLe2+ and mates) 7 Wg3+! Фе2 (7..^d2 transposes, 7...Фс2 8 JLe4+ Фdl 9 JLf3+ Фd2 10 Wf2+ ФdЗ 11 We2+! wins the queen and finally 7..^d4 8 ФЬЗ Фс5 9 Wc7+! wins) 8 W3+ (8 1&g4+ comes to the same thing) Фd2 (8...Фе1 9 We3+ Фdl 10 JLf3+ Фс2 11 We2+ wins) 9 1ЙТ4+! (the two-step again) Фе2 (9..^d3 10 JLfl+ Фс2 11 Ш2+ wins as in the note to Black’s sixth move, 9..^dl 10 JLf3+ Фс2 11 1&е4+ ФсЗ 12 18^3+ is familiar, and 9...Фс2 10 JLe4+ Фdl 11 Wfl+ Фd2 12 W2+ Фdl 13 JLf3+ leads to mate) 10 JLf3+! Ф12 (a repeat of the situation at move 5) 11 JLg4+! (now Black is trapped in the hl comer) Фё2 12 Wf3+ Фgl 13 We3+! (two- step) Фg2 14 JLf3+! ФgЗ (the W+JL battery fires for the third time) 15 JLe4+ (JLd5+ and JLc6+ are equally good) Фg4 (or 15,..ФЬ4 16 W4+ ФЬЗ 17 W3+) 16 W3+ Фg5 17 1ikg3+ Ф16 18 1&сЗ+! and Black fi- nally loses his queen. A remarkable position. Although the following position is completely different, many of the ideas in it are similar. (208): Vandiest originally used this idea in 1987, but his original study proved unsound and he cor- rected it in 1990. Play continues 1...ФГ7 (1...ФГ8 2 Ш6+! Фё8 3 Wg6-b Фf8 transposes) 2 We6+! (2 JLe6+? Фg6! 3 W5+ ФЬб! 4 W6+ ФЬ5! defends) Фg7 (2...Ф^8 3Wh6+! is one move faster) 3 ^6+! Ф^8 4 18116-1-! (the two-step) Ф(7 (4...Фе8 5 JLg6+ Фd8 6 Wh8+! Фе7 7 We5+ Фf8 8 W6+! mates) 5 JLg6+! Феб (just as in the previous diagram,
Queen and Bishop v Queen 137 208 /- Vandiest, 1990 (end of study) Schach White has to select the correct square for the bishop) 6 JLh7+! (6 JLh5+? *f5 7 Wg6+ Фе5! 8 Wg7+ *f5! and 6 i.d3+? Фе5 7 Wg5+ *d4! 8 Wh4+ ФсЗ! 9 Wel+ ФЬЗ! draw, although it is worth noting that 6 JLd3+? can also be safely met by 6...Фе7) and now: 1) 6...ФП (6...Фе7 7 Wg5+ trans- poses) 7 Wg6+ Фе7 8 Wg5+! (the two-step) Фf7 (8...Фе8 9 JLg6+) 9 JLg6+ <S?g7 10 JLh5+ (a similar ma- noeuvre to that near the end of dia- gram 207) ФЬ7 11 Wg6+ ФЬ8 12 Wf6+ (the final two-step) ФЬ7 13 JLg6+ ФЬб 14 JLe4+ followed by 15 JLf3+. 2) 6...Фе5 7 Wg5+ (7 Wh5+ also wins, although it gives Black the ex- tra possibility of transposing back into line 1) Фd4 8 Wh4+! ФеЗ 9 We 1+! (this line wins if the bishop is sufficiently far away) ФЬЗ 10 JLg8+! Фа4 11 Wal+ Wa3 12 Wdl+ ФЬ4 (12...Фа5 13 Wd5+) 13 Wd4+ Фа5 14 Wb6+ and mate next move. Another common idea is the for- mation of a queen and bishop battery against Black’s queen, so that Black’s king movements are restricted by the possibility of a discovered attack. The following diagram clarifies this point. Prokop, 1949 Tidskriftfor Schack (209): 1 JLbl+! (perhaps the most unexpected square on the board, but the idea is that later White can give a queen check on the first rank) ФТ2 (the variations l...ФfЗ 2 We4+! Ф12 3 Wg2+, l..J?d2 2 Wg5+! Фе2 3 Wg2+ and 1...ФГ4 2 Wh4+! ФТЗ {or 2...ФеЗ 3 Wel+ Фd4 4 Wgl+ win- ning the black queen} 3 We4+ all transpose into the main line) 2 Wh4+ (2 Wc5+ is also possible; as so often happens, there are different ways of reaching the same position) Фе2 3 We4+ ФТ2 (З...Ф<12 4 Wc2+ ФеЗ 5 Wcl+ Фd4 6 Wgl+!) 4 Wg2+ ФеЗ (4...Фе1 is also met by 5 Wgl+) 5 Wgl+! (this is the key idea; when White checks on the first rank,
138 Secrets of Pawnless Endings Black’s king cannot move to a light square) Фд2 (5...ФТ4 6 WgS mate) 6 Wf2+!*dl 7«с2+Фе1 8 Wcl-h! (a repetition of the same theme) Ф12 9 Wgl+ and now the king cannot move to a dark square, so Black loses his queen. In the next example, the two-step manoeuvre occurs no fewer than four times in succession. 210 +/= Vandiest, 1970 (end of study; version) 1st Pr., Halberstadt Mem. Tny. (210): The win involves a lengthy series of checks, with two-step ma- noeuvres alternating with the forma- tion of W+JL batteries: 1 'ЙЪЗ-ь! i’db (or 1...Фсб/с5 2 Wb5+ and now 2...Фс7 loses to 3 Ж:5+ Фч17 4 JLb5+, so Black has to transpose into the main line by 2...i>d6 3 Wb4+) 2 Wb4+! (the first two-step; 2 Wb6+ i’dS loses time) Феб (2..^d7 3 JLb5+ Фс7 4 Wc5+ ФЬ8 5 Ж16+ transposes into line 1 below) 3 JLb5+! ФЬ7 (З...Фс7 4 Wc5+ ФЬ8 5 Ж16+ is line 1, while З...Ф<15 4 1B,c4+ Фd6 5 Wc6+ Фе7 6 Wd7+ Ф18 7 We8+ Фg7 8 ^7+ forces mate) 4 JLc4+! (not 4 JLd3+? Фс7!, when Black sur- prisingly escapes after 5 Ж:5+ ФЬ7! 6 Ле4+ Фаб! 7 Wc4+ Фа5! or 5 Wa5+ Фd6! 6 Wb6+ Фd5!) Феб (4...Фс7 5 Wa5+ transposes to the main line, as does 4...®c8 5 WcS-t- ФЬ7 6 Wb5+ Фс7 7 Wa5+) 5 Wb5+ Фс7 (5..^d6 6 Wb6+ Фd7 7 JLe6+ Фе7 8 ЧИс1+ mates) 6 WaS-t-! (the second two-step) Феб (6..^d7 7 JLb5+ Фd6 8 Wb6+ mates just as in the analysis оГЗ...Ф<15)7 JLb5+! and now: 1) 7„.ФЬ7 8 Wa6+! ФЬ8 (alter- natively, 8...Фс7 9 ЧИа.Т+ Фd6 10 Wb6+ mates just as after 3.. .Фс15) 9 Wde+J (two-step) ФЬ7 10 JLc6+! Фаб 11 Ad7+! (each time the bat- tery is formed, White has to choose exactly the right destination for the bishop) ФЬ7 12 Wc6+ Фа7 13 Wc5+ (and again) ФЬ7 14 JLc6+ Фс7 15 JLd5+ (finally the black king is forced back) Фd8 16 Ж16+ Фс8 17 Wc6+ followed by Wa8+, winning Black’s queen. 2) 7„.Фё5 8 JLa4+! (in this varia- tion, Black’s king is forced to the first rank rather than the eighth) Фс4 (8..^d4 9 Wb4+ ФdЗ 10 Wbl+ Фd2 11 Ж11+ transposes) 9 Wb5+! ФеЗ 10 Wb3+! Фd2 11 Ж11+ (11 1B,c2+ is also good) ФеЗ 12 Wcl-t- (two-step) Ф12 (12...Ф^ 13 JLc6+ ФТ2 14 Ж12+ ФП 15 JLb5+ Фgl 16 Wel+ Фg2 17 i.c6+ and 18 Whl+ wins the queen) 13 Ж12+! ФgЗ (13..^gl is also met by 14 Wel-t-) 14 Wel+ ФЬ2 15 Wf2+! ФЬЗ 16 JLd7! (this quiet move is all the more
QUEEN AND BISHOP V QUEEN 139 surprising because it comes at the end of a lengthy barrage of checks) Wh7+ (Black is helpless) 17 Ф14+ 1Skxd7 18 WgS mate. However, not every study featur- ing a king-hunt is correct. There are two possible mistakes; either the composer can overlook a defence in a ‘White to play and win’ study, or he can overlook an attacking line in a ‘White to play and draw’ study. We give examples of both. 211 N.Zaitsev, 1978 Roycmft Jubilee (211): The critical position arises after 1 Wh7+ *f6! 2 Wf7+ *g5 (2...Фе5 loses after 3 ^еб-ь si?f4 4 ЧЙ'Ьб-ь, as below) 3 ^7+ with the following lines: 1) З...ФГ4? (astonishingly, this was the only move analysed by the composer) 4 W6+! <4)g4 (4...<4)g3 5 Wg5+ transposes) 5 Wg6+ Ф44 (or 5...Ф114 6 1ihi6+) 6 ^116+ (the two- step again) <S?g3 (6...^3 7 JLd5+ *g3 8 Wg5+ ФЬЗ 9 i.e6+ ФЬ2 10 «Ъ6+ *g2 11 Wh3+ *gl 12 We3+ i>g2 13 JLd5+ leads to mate) 7 Wg5+ *f2 (7...Ф112 8 Wh4+ *gl 9 Wel+ transposes) 8 We3+ ФП 9 We2+ Фgl 10 Wel+ Фё2 11 JLd5+ ФЬЗ 12 JLe6+ Фg2 13 We2+ ФgЗ 14 We3+ ФЬ4 15 Wh6+ Фё3 16 Wh3+ winning just as after 6...Ф(3 above. 2) З...ФГ5? (3..^g6? 4 Jkf7+! transposes to this line) 4 JLe6+! Фg6 5 JLf7+ Фf5 (5..Ф^7 6 JLe8+ is a quick mate) 6 We6+ Фg5 7 Wg6+ Фf4/h4 8 ^66+ winning exactly as in line 1, since it makes no difference whether the bishop is on g8 or f7. 3) З...ФЬ6? 4 W6+! ФЬ5 5 JLf7+! Фg4 6 Wg6-l- and as in line 2. 4) З...ФЬ5? 4 JLf7+! Фg4 5 We6+ ФgЗ (5...ФТЗ 6 We4+ Фё3 7 Wg6+ is the same) 6 Wg6+ Фf2 (for 6..^f4 and 6...Ф114, see line 1) 7 Wf5+ Фgl 8 Wg5+ Ф* 1 9 Wc 1 + Ф12 10 ^еЗ-ь transposing to line 1. 5) 3,.^g4! (incredibly, this move holds the draw) 4 JLe6+ (after 4 We6+ Ф^5! or 4 Wg7+ ФГ5! 5 JLh7+ Феб White cannot make progress) ФfЗ! 5 JLd5+ (5 W7+ W4!) Фё4! 6 ^7+ ФГ5! and White is unable to reach the winning positions given in the first four lines. The success of the two-step de- pends largely on whether or not the bishop is guaranteed to enter the game with check. (212): Black may play: 1) 1...Фа5? 2 Wc5+ (2 Wd8+ is equally good) Фаб 3 JLb5+! ФЬ7 4 ^сбч- ФЬ8 5 Ж16+ (here the two- step is effective, because the king cannot move to a7, and otherwise White has a bishop check) ФЬ7 6
140 Secrets of Pawnless Endings 212 /= Vandiest, 1987 (end of study) 4th HM, Mugnos Mem. Tny. Dobrescu, 1980 (end of study) 2nd HM, Ban Mem. Tny. Лс6+ ФЬб 7 JLd5+ (Ae4+ or JLd3+ lead to the same conclusion) ФЬ5 (7...Фа5 8 Wc5+ Фаб 9 Wa6+) 8 Wc6+ ФЬ4 9 Wb6+ and White wins the queen or mates. 2) 1...Фа7! (this move draws, so Vandiest’s study is unsound) 2 Ж:5+ (at first sight Black cannot avoid transposing into line 1) ФЬ8! (side- stepping a fatal bishop check) 3 Wb6+ Фс8! 4 Wa6+ ФЬ8! 5 Wd6+ Фа7! 6 Wc7+ Фаб! 7 Wc8+ Фа7! and White is unable to win, because he can never activate his bishop with check. We end this section with an inter- esting case in which a composer overlooked the strength of a sequence of checks. (213): Dobrescu gave some very complicated analysis supporting his claim that White can draw this posi- tion, but in fact Black’s win is quite easy. 1 Фg7 (1 ФЬ5 loses to either l..>c5+ 2 ФЬб We3+ 3 Фg7 We7+ 4 Фg8 1ЙЪ7+ winning the queen, or alternatively L.-Wcb 2 WgS 1ЙТЗ+! 3 ФЬб Ш6+ mating) Wg5+! 2 Фf8 (2 ФП JLc4+!) W6+! 3 Фg8 JLc4+! 4 ФЬ7 We7+! with two possibilities: 1) 5 ФЬб Фё4! 6 Wbl (both 6 Wc8+ Леб! 7 Wc3 Wg5+ 8 ФЬ7 i.f5+ and 6 Wa8 Wg5+ 7 ФЬ7 JLd3+ 8 ФЬ8 Wh6+ lead to mate) Ш+ 7 ФЬ7 Jlg8+! 8 Фg6 ЛП+! 9 ФЬ7 Wg8+! 10ФЬбШЬ8+! 11 Wh7 Ш6+! and mate. 2) 5 ФЬ8 and now: 2a) 5...Wh4+! (Dobrescu only analysed 5...JLd3 - see line 2b) 6 Фg7 WgS-b 7 ФЬ7 JLd3+ and mate in two more moves. 2b) S..JLd3? 6 Wc8+! ФЬ4 and now Dobrescu gave 7 Wg8 as draw- ing, but we know from diagram 188 that Black can win by chasing White’s king out of the comer. Oddly enough, the position is indeed a draw, by means of the simple 7 Фс4+! Ae4 8 Фg8 and Black has no winning chances with his bishop pinned.
QUEEN AND BISHOP V QUEEN 141 5.4: Quiet moves and other themes In contrast to the previous chapter, themes such as the pivot and stair- case manoeuvres occur rarely in W+JL v W studies. Although there have been several pivot studies, they have all been based on the same ar- rangement of pieces, so we will make do with a single example (see also diagram 236 on page 153): 214 Mann, 1913 (version by Vandiest) Utrechts Dagblad (214): The bishop lies on the same line as Black’s queen, so White can afford to leave the bishop unde- fended: 1 Ш8+! ФЬ2 2 Ш2+ (White can also force the king to c3 by zig- zagging down the a- and b-files) ФеЗ 3 Wb3+! *d4 4 ШЗ+! (first White pivots around the bishop anticlock- wise) Фс5 5 Ж15+! ФЬ4 (5...ФЬ6 6 Wb5+ Фс7 7 Wc5+ *d8 8 Ж16+ Фе8 9 Wb8+ wins after 9...'4’d7 10 ЛЬ5+ог9...Фе7 10Wc7+) 6Wb7+! (this is the key moment; White can chase Black round and round the bishop, but he must reverse the di- rection in order to win) ФеЗ (6...Фс5 7 Wb5+ transposes into the main line) 7 W3+! Wd4 (7...ФЬ4 8 Wb3+ loses two moves sooner) 8 Ж15+ ФсЗ (8...ФеЗ 9 We4+ ФТ2 10 Wh4+ ФТЗ 11 «ЬЗ+ФТ2 121Ъ2+Ф« 13 JLd5+ wins Black’s queen) 9 Ж13+! ФЬ4 101ЙЪЗ+! (and now White piv- ots clockwise) Фс5 11 Wb5+! ®d6 (11 ...Ф<14 12 We5+! Фхс4 13 Wc7+! wins the queen, so Black is finally forced away from the bishop) 12 Ш5+ Фе7 (12...Фс7 13 Wc5+ trans- poses into the note to Black’s fifth move) 13 WcS-f- Фd8 14 Ж16+ Фе8 15Wb8+ and wins. Greater variety is possible with staircase manoeuvres. 215 +/= Rinck, 1902 Deutsche Schachzeitung (215): After 1 JLh3+! Black may play: 1) 1...ФТ4 2 Wb8+! (the start of the staircase) ФТЗ 3 ^1)7+ (White has an alternative route by 3 Wb3+
142 Secrets of Pawnless Endings Ф44 4 Wf7+ *g5 5 Wg7+ ФТ4 6 'Hc7+, transposing back into the main line) ФЙ (З...Ф12 4 Wb6+ and 5 We3 mate) 4 Wc7+! *f3 5 Wc6+! Ф44 6 Wd6+! *f3 7 Wd3+ with mate next move by Wfl or Wf5. 2) l...*g5 2Wg8+*h4(2...*f4 3 Wb8+ is line 1) 3 fh7+ *g5 4 Wg7+ and now 4...ФГ4 is forced, when 5 Wc7+ transposes to line 1. 3) 1...ФТ6 2 Wf8+! *g5 3 Wg7+ is the same as line 2. The next study is the best staircase composition in this chapter. 216 Petrov, 1965 (end of study; version) 5th HM, Komsomolskaya Iskra (216): White wins by 1 Wb8+! ФЬЗ 2 Wc8+! ФЬ2 (2...*g3 3 Wg4+ transposes to the main line) 3 Wc7+! ФЬЗ 4 Wd7+! ФЬ2 5 Wd6+! ФЬЗ 6 We6+! ФЬ2 7 We5+! (thus far, every White move has been absolutely unique) ФЬЗ 8 Wh5+ (8 Wf5+ is just as good) ФgЗ 9Wg4+! Ф12 10 Wf4! (this quiet move provides an attrac- tive finale) Wei (alternatives lose even more quickly) 11 JLe4+ (other squares on the long diagonal lead to the same conclusion) Фgl 12 Wg4+ Ф12 13 Wf3+ and mate next move. The initial position of Petrov’s study was W'4’c2,JLg4,JLc7,&b6 v ВФМ,£к8,Д£2. The intended solu- tion was 1 JLf3+ Фgl 2 Ah2+ ФхЬ2 3 b7 flW 4 b8W+ ФЬЗ 5 Wxc8+, leading into the above analysis. However, there is a simple alterna- tive win by 1 JLe2 £lxb6 2 JLf3+ Фgl 3 JLxb6. My version removes this flaw and adds one more step to the staircase. As with the W+Ф v W positions, it isn’t easy to construct a successful staircase study. Here is one idea which doesn’t work: Pogosiants, 1974 Voenni Vestnik (217): The composer gave the so- lution 1...ФТ2 2 Wa7+ Фе2 3 Wa6+ Ф12 4 Wb6+ Фе2 5 Wb5+ ФТ2 6 Wc5+ Ф13 7 We3+ Фё4 8 Wg5+ ФТЗ 9 Wf4+ Фе2 10 Wc4+ ФТ2 11 Wg4 Wd3 12 Wg2 mate. But White has various alternative wins. First of
QUEEN AND BISHOP V QUEEN 143 all 1...Ф12 loses directly after 2 1&g8 (it is odd that Pogosiants overlooked this, because he uses the same idea at move 11 in his own solution) Ф13 (2...Фе2 3 Wc4+! ФТ2 4 Wg4) 3 W7+ Фе2 4 Wc4+ ФТ2 5 Wg4. This saves five moves over the com- poser’s line. Therefore, Black should play 1...Фе2 2 18^6+! ФТ2 instead, transposing to the composer’s line, although at this point there is an al- ternative win for White by 3 JLe3+ Фе1 4 Wa5+ Фе2 5 Wb5+ Фе1 6 Wb4+ Фе2 7 Wc4+ Фе1 8 JLd2+ ФТ2 9 18rg4. Finally after 6...ФТЗ in the composer’s line, 7 Ж15+ works just as well as 7 1ike3+. We now progress to quiet moves, the main theme of this section. This is one of the most popular ideas amongst study composers and they have produced dozens of examples, far too many to quote here. On exam- ination, many of these proved to be unsound and others were only slightly modified versions of earlier compositions. I have made a per- sonal selection of the remainder, and present them here. The first example is not only a magnificent study, it also has a small story attached to it. (218): The solution runs 1 JLd2+! and now: 1) 1...Фе5 2 JLc3+! Фf4 (alterna- tively, 2..^d6 3 Ж13+!) 3 Bj3+! (we will return to this position on page 144) Фf5 (3..^g4 4 i&e6+! transposes) 4 We5+! Фg4 (after 4..^?g6 5 1&e6+, Black cannot play 5...Ф117 because of 6 W7+, so he has the choice between 5..^g5 and 218 +/= Halberstadt, 1959 4th Pr., Problem 5...Ф115, in both cases transposing into later analysis) 5 1&е6+! and now: la) 5...Ф115 6 JLd2! (an attractive quiet move) Wf8 (б...ФЬ4 7 1вЪ6+ ФgЗ/g4 8 W4+ ФЬЗ 9 W5+ ФgЗ 10 JLel+ Фё2 11 W3+ ФЬ2 12 Wg3-+ ФЫ 13 Wh3+ and mates) 7 JLe3! (a fantastic move reaching a position of reciprocal zugzwang, given as zzlO on page 149) ФЬ4 (forced, because if the queen moves, it cannot retain control of f5) 8 i&e4+! ФЬЗ (8...Ф115 is also met by 9 18117+) 918b7+ ФgЗ (the other king moves meet with the same reply) 10 Wg6+! ФЬЗ (1О...ФЬ2 11 Wg4 wins comfortably for White) 11 Wh5-+! ФgЗ (П..Ф^2 12 Wg4+) 12 JLd4! (unbelievable; this is already the third quiet move by the bishop) Фg2 (or else JLe5+) 13 1&g4+ ФЬ2 14 JLe5+ ФЫ 15 Wh3+ and White de- livers mate. lb) 5...ФТ4 6 JLd2+ ФgЗ 7 Wg6+ ФЬЗ 8 W5+ ФgЗ 9 JLel+ Фg2 10 W3+ leads to a quick mate.
144 Secrets of Pawnless Endings lc) S.-.'A’gS 6 JLd2+ ФЬ4 trans- poses to the position after 6...Ф114 in line 1. Id) 5...&g3 6 JLe5+ leads to a quick mate. 2) 1...Фе4 (incorrectly given as the main line by Chdron) 2 WetH- (White may also play 2 JLc3, forcing 2...Ф44 and thereby transposing into line 1, but the alternative win is well worth looking at) i>d4 3 ЛеЗ+! ФеЗ 4 Wc6+ ФЬЗ/Ь2 5 Wb5+! ФеЗ (or 5...Фс2 6 Wc4+ ФЬ2 7 JLd4+ ФаЗ 8 JLc5+! ФЬ2 9 Wb4+ Фс2 10 Ш4+ ФсЗ 11 JLb4+ ФЬ2 12 Wa3+ mat- ing) 6 JLf4! (an echo of 12 JLd4! in line la) Фс2 7 1B,a4+ and mate fol- lows in a few moves. However, the story does not end there. Let us return to the position af- ter 2...Ф14 in line 1. As we saw above, White can win by 3 WeS+i, but the question arises as to whether or not there is a second win starting with 3 We6. 219 (219): Chdron claimed that l... Wb8 leads to a draw, and he was so pleased with this move that he awarded it two exclamation marks. However, as Vandiest pointed out in EBUR (1993), White can win by 2 JLd2+! ФgЗ 3 ^еЗ-ь (Vandiest’s 3 Wgb-i- is also good) Фg4 (З...ФЬ2 4 WfZ+l ФЬЗ 5 W5+ transposes to the main line) 4 Wg5+ ФЬЗ 5 W5+! ФgЗ (5..^g2 6 W3+) 6 ФП! and Black is helpless against the threat of 7 JLel+. However, Halberstadt’s study is saved because the move 1...1Йгс7, which Chdron gave as los- ing, does in fact draw. Curiously enough, Vandiest evaluated 1...Ж:7 correctly, but gave faulty analysis! The main line runs 1. ..Wc7! 2 JLd2+ ФgЗ! 3 WgfH- and now: 1) З...Ф114? 4 JLg5+ФЬЗ 5 Wf5+ Фg2 6 Wf3+ Фgl 7 Ae3+ and 8 i.f4+. 2) З...Ф112? (Vandiest thought this move draws) 4 ФТЗ! Wb7+ 5 Ф12! Wa7+ 6 ФП! (6...ФЬЗ 7 W5+ mates) 7 JLel! and wins. 3) З-ФЬЗ! 4 Wh5+ ФgЗ! 5 ±el+ Фg2! 6 Wg4+ and now Black has two drawing lines with a common motif: 6...ФЫ 7 ФП W4+! and 6...ФЬ2 7 ФН Wf7+! 8 JLf2 Wf3! with stalemate in both cases. Vandiest then went on to compose a study based on this draw. The posi- tion was WФe4,Дd7 v ВФе2,1йга6, JLg7 (.EBUR, 1993). White to play and draw. After 1 dSW WetH- 2 ФТ4, Vandiest’s main variation continued 2...JLc3 3 Wc7, drawing as in the above analysis. However, Black can win by 2...JLh6+! 3 ФgЗ Jle3! and now the following lines are all win- ning for Black:
QUEEN AND BISHOP V QUEEN 145 1) 4 Wb8 Wg6+ 5 ФЬ2 Wh5+ 6 *g3 Wg5+ 7 ФЬЗ W5+ 8 *g3 *f 1. 2) 4 ®c7 Wg6+ 5 ФЬЗ (5 ФИ2 *f2) Wh5+ 6 *g3 JLf2+ 7 *g2 Wg4+ 8 ФЬ2 ФП 9 Wcl+ Фе1. 3) 4 WI8 Wg6+ 5 ФЬЗ Wh5+ 6 ФgЗ JLd4! 7 Фg2 Wg4+ 8 ФЬ2 Фе5+. 4) 4 ФЬ4 Bj4+ 5 ФЬЗ 1Т5+ 6 ФgЗ JLf2+ 7 ФЬ2 Wf4+. The next example is relatively simple, but it is a good introduction to the compositions of Henri Rinck, who was a master of this type of study. 221 +/= Rinck, 1912 1st Pr„ La Strategic 220 +/= Rinck, 1943 Basler Nachrichten (220): White wins by 1 Wh6+! Фё8 2 Wg6+! Wg7 3 Wf5!, and when the queen moves away White wins by 4 Wf7+ and 5 JLf6+ (3...Wh7 allows mate in one). Although this study is very easy, it is noteworthy because Rinck correctly claimed that the position arising after 3 Wf5! is reciprocal zugzwang (see zzl6 on page 150). (221): This example is more com- plex. After 1 Wc5! (threatening 2 JLd5+) Black is helpless against White’s active pieces: 1...Фе6 (or l...Wal 2 i.d5+ Фе8 3 Wc8+ Фе7 4 Wc7+ Фе8 5 Фс6+ ФГ8 6 Ж18+ Фg7 7 We7+ Фg8 8 JLd5+ mating; other moves are also met by 2 JLd5+) 2 JLc8+! (not 2 JLd5+? Фd7!) *f7 3 JLf5! (the threat is the relatively slow 4 'VHcl+, but once again Black lacks any really useful move) and now: 1) 3...1iihi241iiirc7+^g8 51iiird8+ ФТ7 6 Ш7+ ФТ8 7 Ж16+ ФТ7 8 ФЬб! (the third quiet move) and Black cannot prevent 9 Феб+. 2) З...Фе8 4 Wc8+ Фе7 5 Wc7+ Фf8 6 Ж16+ ФТ7 7 JLg6+ Фg8 8 Ж18+ Фg7 9 Wf6+ and mates. 3) З...Шб41'с7+Ф^5>18+! ФТ7 6 Фе4! (we saw this move in line 1 of diagram 218) Фg7 7 1B,e7+ and mates. The following composition leads to a quiet move which has formed the basis of several studies.
146 Secrets of Pawnless endings 222 +/= 223 Rinck, 1902 Deutsche Schachzeitung (222): Here White wins by 1 Wc5+! (1 ШЗ+? *d2! is a draw) *d2 (1 ...ФЬ2 2 Wb4+! Фа2 3 JLd5+! followed by mate) 2 Wd4+! Фе1 3 Ж:3+! ФТ2 4 ФГ4! (this important move is a little surprising, because it allows Black to deliver discovered check; 4 ФИ4? may be answered by 4..>el 5 1T3+ *gl+! 6 *g4 We2!, in addition to the more mundane 4..>b5 or 4„>a6) *gl+ (4..>dl 5 1Brg3+ wins) 5 JLf3! ^(2 (there is nothing better) 6 Wal-b W1 7 Wg7+ and mate next move. The next two studies feature two closely related quiet moves. The crit- ical positions differ only in the loca- tion of White’s bishop. (223): White wins by 1 Ж17+! Фаб (1 ...Фа5 2 i.c7+! Фаб 3 Wc8+! Фа7 4 «Ъ8+! Фаб 5 Ш+! ФЬ5 6 Wa4+ wins) 2 Wc8+! ФЬ5 (2...ФЬ6 still fails to 3 i.c7+) 3 Wb7+! Wb6 4 Ж15+! (Black is forced to deliver check, but it doesn’t help him) Фа6+ 5 Фа4! (this is zugzwang, but it is not Rinck, 1911 Deutsche Schachzeitung reciprocal zugzwang because White can pass the move to Black by play- ing Wa8+, ^сб-ь and then Ж15) Ж18 (other moves are also met by Wb5+) 6 Wb5+! Фа7 7 Лс5+! Фа8 8 Wab+J and now Black loses his queen. Returning to the crucial position after 5 Фа4!, if we move the bishop from d6 to e5 the position is still win- ning for White, even with Black to move (see the following study). However, if the bishop is moved one square further, to f4, then Black to play can draw by 1...Фа7!. (224): White wins by 1 JLd5+! Фf8 (or 1...ФЬ8 2 We5+! Wg7 3 We8+) 2 Wd8+! Фg7 3 We7+! ФЬб 4 We5! (this is the position men- tioned above) Wbl (4...Wd3 5 WgS-t- ФЬ7 6 Wel+ ФЬб 7 JLe4 loses even more quickly) 5 Wh5+ (now there are many routes to victory) Фg7 6 1Т7+ ФЬб 7 Ш8+ Фg6 8 JLf7+ ФЬ7 9 Wg8+ ФЬб 10 Wh8+ and mate.
QUEEN AND BISHOP V QUEEN 147 224 Troitsky, 1917 Tidskriftfor Schack I have left three particular favour- ites for last. 225 +/= Maniakin, 1985 (version) 1st Pr., Schach (225): I have slightly improved Maniakin’s setting by adding an at- tractive introductory quiet move. The solution is 1 JLg4! and now: 1) 1...Фй8 2 Ae6+! (now we are in Maniakin’s solution) Ф18 3 We3! (not 3 Wc5+? We7! 4 W5+ Фе8! 5 We5 Wd6! with stalemate) with a further branch: la) З...Фе7 4 We5! Фе8 5 Ag4+ We7 6 Wb8+ Wd8 7 Wb5+ Фе7 8 WeS-b mating. lb) З...Фе8 4 We5! Wb4 (alter- natively, 4..Wei 5 WhS+l W8 6 JLf7+! Фе7 7 W6+! *d7 8 JLe6+! Фе8 9 JLd7+! wins) 5 W18+ Фе7 6 Wfb+J and wins the queen. 1c) З...Ш4 4 Wc5+! Фе8 5 *g7! Ш1+ 6 *g8! W1 7 Wc8+ Фе7 8 Ж17+! ФТ6 9 ^(7+! and once again the queen falls. Id) 3...®e74Wh6+<ie85Wh8+! wins as in line lb. 2) l...We7 2 Ш1+! Фе8 (2...*g8 3 Wc4+! *f8 4 W4+! Фе8 5 Wb8+! Wd8 6 Wb5+ Фе7 7 We5+ leads to mate) 3 Wb5+! Фf8 4 W5+! Фе8 5 Wc8+! Ш8 6 Wc6+ ФТ8 7 Wf3+ wins. 3) 1...Фе8 2 Ж14 We7 3 Wh8+ Wf8 4 We5+We7 51ЙЪ5+ wins as in line 2. 226 +/= V.Zaitsev, 1977 (end of study) 2nd Pr., Sovietskaya Kuban
148 Secrets of Pawnless Endings (226): At first sight this appears to be a staircase study, but in fact the play is much more complex: 1 Wa7+! ^2 2 Jlf3+! (White must restrict Black’s king; after 2 Wg7+? ФЬ2! the queen can check its way down to g4 and h4, but further progress proves impossible) ФЬ2 (2...ФН 3 Wal+! ФТ2 4 Wd4+! transposes) 3 Wh7+! *g3 4 Wg7+! (4 Wg6+? and 4 Wg8+? throw away the win after 4...ФТ2!) *f2 (4...ФЬ2 5Wh6+ *g3 6 Wg5+ wins at once) 5 Wd4+! ФП 6 Wc4! (an incredible quiet move) Wg5 (6...Wf2 7 Wc 1+! Wei 8 Фе2+! ФТ2 9 We3+! *g2 10 JLf3+! leads to the win of the queen, as does 6...Wg6 7 ФеЗ+ *gl 8 Wcl+ ФЬ2 9 Whl+ and 10 Wg2+) 7 Фе4+! *gl (or 7...*f2 8 We2+ *gl 9 Wel+ mating in three more moves) 8 Wd4+! ФЬ2 (8...ФП 9 Wdl+ ФТ2 10 We2+ *gl 11 Wel+ again) 9 Wf2+! ФЬЗ 10 Wfl+! ФЬ4 11 Whl+! and mate in two more moves. 227 +/= Mansarliisky, 1986 =3rd Pr„ All-Union Team Ch. USSR (227): White wins by 1 Wh6+! Фе5 (1...Фс15 2 Wc6+! transposes) 2 Wf6+! Фс15 3 Wc6+! Фd4 (З...Фе5 4 Wc5+ transposes) 4 Wc4+! Фе5 5 Wc5+! Феб 6 JLc4+! Фd7 7 Фf6! (it is always hard to spot quiet moves after a long checking sequence, es- pecially as this one allows Black to give check himself) Wb2+ (7...Wal+ 8 ФТ7! Wei 9 JLb5+! mates in two more moves) 8 ФТ7! Wb7 9 Феб+! Фd8+ 10 Ф1В! Wf3+ (Black’s third check) 11 JLf5! and Black cannot meet the many mating threats. 5.5: The 25 reciprocal zugzwangs The reciprocal zugzwangs with W+JL v W are considerably less interesting than those in the W+Ф v W chapter. Many are completely trivial, and even the longest is only nine moves deep. One similarity is that some of the positions fall into families, while others are individual. First of all we deal with the 13 positions which fall into five families. (228): Black to move has no use- ful check, and his queen must cover both gl (to prevent Wgl mate) and fl (to stop Wfl+ followed by JLe5+). Therefore the main line runs l...Wcl (l...Wbl is met similarly) 2 Wh4+! Фё2 3 Wg4+! ФЬ2 4 ±e5+! ФЫ 5 Wh3+ and mates in two more moves. The position remains reciprocal zugzwang if the white king is moved to f6 (zz2), d8 (zz3) or f8 (zz4). The analysis is identical in each case. zz5: WФd6,We7,Фc6 v ВФЬ8, Wc8 (1 move).
Queen and Bishop v Queen 149 228 =/- zzl (6 moves) 229 zz8 (6 moves) zz5 is trivial, because Black to move must allow immediate mate or give up his queen. The position re- mains reciprocal zugzwang if it is shifted to the right by one file (zz6) or two files (zz7). However, if the po- sition is shifted to the right by three files (W*g6,Wh7, Af6 v B*e8,Wf8) then White to play wins by 1 Wb7! Wg8+ (there is no check on i8!) 2 ФГ5!, destroying the reciprocal zug- zwang. (229): Black’s first move is forced, but after 1 ...ФЬ6+ 2 АсЗ! there are a number of possibilities: 1) 2...Фс5 3 Wd4+! ФЬ5 4 Wb4+ Фсб 5 Wc4+! wins the queen. 2) 2...Wf43Ad4+!*a5(3...*c6 4 Wc4+! *d6 5 Wc7+) 4 ЖЗ+ ФЬ5 5 Ж:5+ Фа4 6 Ж:4+ is similar. 3) 2..>g5 3 Ad4+ Фа5 (З...Фсб 4 Wa6+) 4 Wa3+ ФЬ5 5 Wb3+! Фа5 6 JLc3+ and mate. 4) 2^Wh63Ad4+!*a54Wa3+! ФЬ5 5 1ЙЪЗ+! wins. 5) 2..>hl 3 Ad4+ Фа5 4 ШЗ+ ФЬ5 5 Wb3+ Фа5 6 АсЗ+ Фаб 7 Wa4+ (b7 is covered) ФЬб 8 JLd4 mate. The position remains reciprocal zugzwang if it is shifted one square to the left (zz9). The analysis is virtu- ally identical. 230 =/- zzlO (9 moves) (230): This is the longest of all 25 reciprocal zugzwangs. The analysis runs 1...Фа5 (l...Wb2 2 Wc4+!) 2 Wd5+! Фаб (2...Фа4 is also met by 3 Wa2+) 3 Ш2+ ФЬб 3 Wb3+! Фаб 4
150 Secrets of Pawnless Endings Wa4+! ФЬб 5 Фе5! ФЬ7 6 Wb5+ Фа7 7 JLd4+ followed by mate. We saw this reciprocal zugzwang ear- lier, in the analysis of diagram 218. If the diagram is shifted up by one square we get WФd8,Wd4,Фd7 v ВФа5^с2. This is again reciprocal zugzwang (zzll), the only new vari- ation being l...Wcl 2 Wa4+! ФЬб 3 Wb5+ Фа7 4 Wa5+ ФЬ7 5 Леб Wc6 6 JLd5! ФЬ8 7 Wb4+! and wins. zzl2: WФd8Дb4,WcЗ v BФdl, We2 (3 moves). Black to play must keep control of d2, but moving the queen along the rank allows Wd3+ followed by Aa3+. A second reciprocal zugzwang can be derived by reflecting the position of certain pieces: zz!3: W*d8,We3,Af4 v BФdl, Wc2 (3 moves). The remaining twelve positions fall into no families, so we will tackle them in order of increasing diffi- culty. The first few are completely trivial. zzl4: WФd8,Wf6,Фd4 v ВФё8, Wh7 (2 moves). zzlS: WФd6,WbЗ,Фb6 v ВФа1, Wa6 (2 moves). zzl6: W*d8,Wc5,±d7 v ВФЬ8, Wb7 (3 moves). This is Rinck’s zugzwang (see di- agram 220). zzl7: W*d7,We5,±h7 v B*f7, Wf8 (3 moves). Black to play must move his queen to b4 or a3, but then White mates in three by 1 Wf5+, followed by 2 Wg6+ and 3 Wg8 mate. zzl8: WФd7,Wb4ДdЗ v ВФа1, Wcl (4 moves). Black loses after 1 ...Фа2 (l...Wb2 2 Wel+) 2 Фс4+! Фа1 3 Wa4+ ФЬ2 4 Wb3+ and 5 Wa2 mate. This is Halberstadt’s zugzwang (see diagram 191). zz!9: W*d7,Wb5,±d3 v ВФа7, Wa3 (4 moves). After l...Wc3 (l...Wa2 2 Wc5+ ФЬ7 3 Wc7+) 2 Wa6+ ФЬ8 3 Wb6+ Black is mated forthwith. zz20: W*d8>e4,Jle5 v ВФП, Wfl (4 moves). Black to play loses after l...Wgl (l...Wdl+ 2 JLd4! Wa4 3 Wf5+ and mates) 2 Wf5+ Фg8 3 Фе8 and there is no defence. zz21: WФc7,Wh4,фe6 v ВФе8, Wdl (4 moves). Both l...Wcl+ and l...Wc2+ are answered by 2 Ac4!, and in either case Black has nothing better than 2... Wdl, when White mates by 3 Wh8+! Фе7 4 Wg7+. zz22: W*d8,Wg4,±g3 v BФg2, Wgl (5 moves). This is Mann’s reciprocal zug- zwang (see diagram 195 on page 129). Black to play loses following l...Whl 2 JLel+ ФП 3 Wf4+ Фе2 4 Wd2+, l...Wbl 2 JLel+ ФП 3 Wf3+ Фё1 4 i.f2+, or l...Wfl 2 JLf4+! ФТ2 (2...ФЫ 3 Wh4+!) 3 Wg3+! Фe2 4WeЗ+!. zz23: W*b7,Wf5,±d6 v ВФе8, We2 (5 moves). Here the main lines are l..Wg2+ 2 Фс7! Wg7+ 3 Фс8! Wc3+ 4 Фс5! Wg7 5 We6+, l...Wel (l...We3 is the same) 2 Фс8! Wc3+ 3 JLc5! and l...Wb2+ 2 Фс8! Wc3+ 3 JLc5!. (231): There are several possible moves, but all of them allow White
Queen and Bishop v Queen 151 zz24 (6 moves) 232 =/- zz25 (8 moves) to launch a decisive attack: 1) l...i>g72We5+! *f8 3>e7+! i’gS 4 Ae6+! ФЬ8 5 Wf8+! wins the queen. 2) l...Whl 2 Wg5+ ФЬ8 (2...*f8 3 We7+ *g8 4 Ae6+) 3 Wd8+ *g7 4 We7+ *g8 5 Ae6+ mates. 3) l...Wdl+ 2 Фе7! Wel+ 3 Ae6+! i>g7 4 Wf6+ ФЬ7 5 ФП! Wg3 6 Af5+! mating. 4) l...We2 2 Wg5+ ФП 3 JLg6+ *f8 4 W6+. (232): This is one of the most in- teresting zugzwang positions. Black may play: 1) l^Wa*+-2*b64-!*d7 3Wc7+ Феб 4 Wf7+! *d6 (4...Фе5 5 We7+ transposes) 5 Wf6+! *d7 (5...*d5 6 Af7+) 6 Af5+ Фе8 7 Ad3 and there is no defence against the threat of 8 Jlb5+. 2) 1.„1Ъ62ФЬ6+! *d7 3 Wc7+! Феб 4 W7+! Фе5 5 Wf5+! Фd6 6 Wf6+! wins Black’s queen. 3) 1™'ИЫ+2ФЬ6+! Фд7 3 JLf5+ Фе8 4 'Ugl and Black has no answer to 5 Ag6+. 5.6: Original compositions As usual, working with the database led to a number of new discoveries, and I would like to end the chapter with three of these. 233 Original (233): 1 Фd6+! Wg7 (now White’s queen undertakes a lengthy tour in order to reach the destination c3!) 2 Wc8+! Wg8 3 Wh3+! Ф87 4 Wg4+!
152 Secrets of Pawnless Endings (4 Wg3+? $fcf8! draws) $fcf8 (4...*f6 5 «f4+ *g7 6 «g5+ and 4...ФЬ8 5 «h5+ <4)g7 6 «g5+ lead to the same mate) 5 «c8+! *g7 6 Wc3+! (the difference is that Black’s king is on g7 and not h8; the reply is forced) Ф^8 7 Лс4! «g6+ (the only move, or else White wins by «f6+ or Wh8+) 8 Леб! W7 (8...«h6 9 «f3+ mates) 9 «f3+! *g7 10 «f7+! ФЬб 11 «f4+! *g7 12 Фе7! ФЬ8+ 13 Af7! «d3 14 Wh6+! Wh7 15 «f8+! and mate next move. A «+Л v « study with 15 absolutely accurate White moves and four quiet moves is an exceptional occurrence. 234 +/ Original (234): 1 Wc3! (not 1 Wd4?«c6! 2 «d8+ *g7! 3 We7+ ФЬб! 4 «h4+ *g7! 5 Wh7+ *f8! and White can- not make progress) and now: 1) l...Wb8+ 2 Фе4+! (a surpris- ing choice of check, but 2 Феб+? i’gS! leaves White without a check, while after 2 Фч15+? i’gS! 3 Ae6+ ФЬ7! 4 Wh3+ *g7 5 «g4+ ФЬб! 6 Wh4+ i>g6! White’s queen cannot approach) i’gS 3 Ле6+! ФЬ7 4 Wh3+! *g7 5 «g4+! (not 5 «g2+? *f6!) ФЬб (5...*f6 6 «f5+! wins) 6 «h4+! i’gfi 7 Af5+! (White must cover f5, which is the reason why 2 Фе4+ is better than 2 Фс15+) ФГ7 8 Wh7+ Ф^б 9 «g6+! Фе7 10 «g7+ followed by mate or win of the queen. 2) l..^g8 2 Леб+ Ф^ (2...ФЬ7 3 Wh3+ Фё7 4 «g3+ ФЬб 5 Wh4+ Фg6 6 Af5+, followed by «h7+ and Wh8+) 3 Wb4+ Фе8 (З...Ф87 4 «g4+) 4 Wb5+! Ф^8 5 «f 1+! Фё7 6 «f6+ ФЬ7 7 Wh4+ Фё6 8 Af5+, winning as before. 3) I...«a7/b7 2 «h3+! Фё8 3 Аеб+! Фё7 4 «g4+ ФЬб 5 Wh4+ Фg7 (5..^g6 6 Af5+) 6 «g5+ ФЬ7 7 Af5+ Ф118 8 Wh6+ wins the black queen. 4) l...«g2 2 Фd6+! Фё8 (or 2...«g7 3 Wh3+) 3 «c8+! Фё7 4 «d7+! Фё8 (4...Ф*6 5 «еб+! is the same) 5 «еб+ Фg7 (or 5...Ф^8 6 «е7+) 6 «е7+ Фg8 7 Леб+ ФЬ8 8 «f8+ wins. 5) 1.,.«аб 2 Фб5+Фё8 3 Аеб+! ФЬ7 4 «с7+ ФЬб (4...Ф118 5 «е5+ ФЬ7 6 Wh5+ Фg7 7 «П+ as in the main line) 5 «f4+ Фg6 6 «f5+ Фg7 7 «f7+ ФЬб 8 «f6+ and White wins the queen. 6) l..^g7 2 «с7+ Ф^ 3 «d6+ Фg8 4 «g6+ Ф^8 5 «h6+ wins eas- ily. (235): 1 «d6! (1 Af5? Wb8+!) «а4+ (1 2 «е7+ ФЬ8 3 Wh4+ Фg7 4 «g5+, 1 ...«g2 2 Ag4+! Фg7 3 «e7+ Фg8 4 Аеб+ ФЬ8 5 «f8+ and l...«a7 2 Ad7+ Фg7 3 «e7+ ФЬб 4 «f8+ are all easy wins) 2
Queen and Bishop v Queen 153 Original *f3! (2 *f5? Wc2+!) Wa7 (2...*g5 3 We7+ ФЬб 4 Wf8+ *g6 5 i.f7+ i’gS 6 Wg7+ wins, as does 2...Wai 3 JLf5+! *g7 4 We7+) 3 JLd7+! (cut- ting off the black queen’s guard of e7; other checks are met by 3. ..Фg7) ФЬ7 (3..^g5 and 3..^g7 are also met by 4 We7+) 4 We7+! ФЬб 5 Wf8+! (White can waste time giving various checks, but in order to win he must check on f8) Фg6 6 JLf5+! (the same comment applies to this check) Фё5 (6...ФЬ5 7 We8+ ФЬ4 8 We4+ Фё5 9 Wg4+! ФГ6 10 Wg6+! Фе5 11 We6+! wins the queen) 7 JLe4! (threatening mate in two by 8 Wf5+; Black has no checks) Wb6 (7...Wd7 8 Wf4+! ФЬ5 9 We5+ ФЬ4 10 Wf6+ ФЬ5 11 Wg6+ and 7...Wa6 8 ФgЗ Wffi 9 Wg8+! ФЬ5 10 Wh7+! Wh6 11 Wf7+! both lead to mate next move) 8 Wf4+ (8 Wg7+ ФЬ5 9 Wg4+ is just as good; White can also repeat moves, but sooner or later he must play Wg4+) ФЬ5 9 Wg4+! ФЬб 10 Wh4+! Фё7 11 We7+! ФЬб 12 Jtd3! (stopping the check on b3) Wc6+ (12...ФЬ5 13 Wh7+ wins for White after 13..Ф^5 14 Wg7+ ФЬ5 15 Фе2 or 13...Wh6 14 Wf7+ ФЬ4 15 Wc4+) 13 ФgЗ! and Black is de- fenceless. Finally, the longest win in the end- ing of W+JL v W: 236 /- (236): White wins in 30 moves af- ter l...£d8 2 JLb6+ (White can also play 2 Wa5+ Фе8 3 We5+ or 3 Wel+, since at move four White will have to check on e7 in any case - in the subsequent play it doesn’t matter whether the bishop is on b6 or a7) Фе8 3 We2+! ФТ7 4 We7+! Фё6 (or 4..^g8 5 We8+) 5 We8+! (the two- step) ФЬ7 (this holds out longest; 5..Ф?6 6 JLd4+ and 5...*g5 6 ±e3+! lose faster) 6 We4+! Фg7 (now Black must move to a dark square because 6..^g8 7 Wg6+! Ф^В 8 Фс5 wins immediately) 7 JLd4+! ФТ7 (7...ФЬ6 8 JLe3+! wins after 8...ФЬ5 9 We5+ Фё6 10 We8+ Ф46 11 Wf8+ Фg6 12 Wg8+ or 8..^g7 9 We7+ Фg6 10 We8+ as before) 8 We7+! (White re- peats the earlier manoeuvre, but with
154 Secrets of Pawnless Endings his bishop in a more active position) &g6 9 We8+! *g5 10 ±e3+! ФЬ4 (10...*g4 11 We4+ ФЬ5 12 We5+ wins as in the note to Black’s 7th move) 11 "Wel+ (11 Wh8+ is equally good) *g3 (11 ...*g4 12 We4+ ФЬ5 13 We5+ and so on) 12 We5+! ,4>g2 (12...*f3 13 Wf4+! Фе2 14 Wf2+! Ф(13 15 Wd2+! wins as in diagram 214) 13 Wb2+! ФЫ (12...ФТЗ 13 Wf6+! is another transposition into diagram 214) 14 Wcl+ (or Wal/bl) Фg2 15 Wgl+ (or Wc2/d2) Ф13 16 Wf2+! and we have reached diagram 214. The optimal line continues 16...Фе4 17 Wf4+! Ф(13 18 Wd4+! Фе2 19 Wb2+! ФО 20 Wf6+! Фе4 21 Wd4+ ФО 22 Wf4+! Фе2 23 Wf2+! Ф<13 24 Wd2+! Фс4 25 Wd4+ ФЬ5 26 Wd3+ Фа4 27 Wc4+ Фа5 28 Wa2+ ФЬ5 29 «Ь3+ Фа5 30 i.d2+ and White finally wins the queen.
6 Rook and Knight v Rook This ending is in general a draw. White has far fewer winning chances than in the ending of E+JL v E and in practice the ending is often agreed drawn im- mediately. Top-level wins are very rare, but there was one famous example in J.Polgar-Kasparov, Dos Hermanas 1996. If the defending king is not in a comer there are a few situations when the rook and knight can win tactically within a few moves, usually by a combina- tion of skewer and knight fork, but in general the rook and knight only have winning chances when the defender’s king is very badly placed. Most important positions had already been analysed by the end of the 19th century. The 20th century theoreticians added relatively little, although with the advent of the computer it is possible to give a more rigorous coverage and detail a few positions which earlier analysts had missed. We will divide this chapter into four sections. 6.1: Direct attack 155 6.2: King in the comer 160 6.3: The rampant rook 163 6.4: The 10 reciprocal zugzwangs 170 In the first section we will give a selection of positions in which a direct attack succeeds. Most of these positions are of relatively little interest because such ideas are so shallow that a player would have no trouble spotting them over- the-board. However, a few situations require some finesse and we concentrate on these. In section 6.2 we digest the real meat of the ending, including the work of the 19th century analysts. The third section deals with the relatively common case in which White has a rook on a7 and knight on f6, trapping Black’s king in the h8 comer. If Black can sacrifice his rook the result is stale- mate. When can he achieve this? In the final section we mention the ten posi- tions of reciprocal zugzwang which have been discovered by the computer. Of these six have some interest. 6.1: Direct attack If Black’s king is in the centre of the board, then White can win only in the most exceptional circumstances. Here are two examples. (237): 1 Фе5! Ed8 (Black’s rook is completely dominated) 2 Edl+ Фе2 3 2>c3+ picks up Black’s rook. (238): 1 £lg8+! (Black’s king stands on the edge of the board, but the solution involves chasing him
156 Secrets of pawnless Endings 237 +/= Rinck, 1950 Basler Nachrichten 238 +/= Rinck, 1950 Basler Nachrichten into the centre) Si?g5 (l...’4)g6 is the same; other moves lose to 5)f6+ or *f3+) 2 ФТЗ+! *f5 3 £jh6+! (the knight moves to a better square with gain of time) Фе5 4 5)g4+ (not 4 4)f7+? *d5!) *f5 5 21еЗ+! Фе5 6 Sg5+! ФГ6 (the king and rook must part company) 7 Hf5+! and White wins. White has more chances when Black’s king is on the edge of the board, but normally White can only win if his own king is close to the enemy king. In the following posi- tion the king starts far away, but ap- proaches with gain of tempo. 239 +/= Pogosiants, 1980 Shakhmaty v SSSR (239): 1 *f5! Bg7 (l...Ha6 2 2»f6+! $fcf8 3 *g6! Ba7 4 £ih7+ and White wins) 2 Bb8+! ФП (2...Ф117 3 5)f6+! Ф116 4 Bh8+ and mate) 3 £k5+! Фе7 4 Bb7+! sfcf8 5 5)g6+! Фg8 6 Bb8+! and mate next move. Black to play draws with almost any sensible move. The next position requires one small finesse. (240): 1 £*16! Sg8 2 Sei (a wait- ing move designed to force Black’s rook to the inferior square f8) Bf8 3 £b7+ Фс8 4 Bbl (threatening 5 £d6+ Фd8 6 Bb7; 4...Bf4 does not prevent this line) Bf3 (4...Bf2 is met the same way) 5 £d6+! Фd8 6 Sb8+! Фе7 7 Be8+! ФТ6 8 Bf8+!
rook and Knight v Rook 157 240 +/= Centurini, 1850 and wins the rook. Black to play draws by l...Sgl intending ...Дс1+. The next two positions show use- ful attacking ideas against a king trapped on the edge of the board. Centurini, 1850 (version) La Regence (241): The quickest win is by transferring the move to Black, which also proves that Black loses if he moves first. 1 Hf7+ i’gS 2 Bg7+! *f8 3 Ha7 Sd8 (3...<4>g8 4 *g6 ФЬ8 5 Sh7+ *g8 6 Sg7+ ФТ8 7 ФЬ7 wins) 4 5)f5 ДЬ8 (4...Пе8 5 Hf7+ <4>g8 6 <5)e7+ ФЬ8 7 £>g6+ <4>g8 8 Bg7 mate) 5 Hf7+ Фе8 (5...i>g8 6 ?le7+ mates as before) 6 5)g7+ (or 6 2kl6+ *d8 7 Феб) Фd8 7 £ie6+ Фс8 8 Пс7 mate. 242 Benko, 1990 (end of study) Inside Chess (242): 1 Sa7! (not 1 21e7? Sh6+ 2 2>g6+ Фе8 3 Феб Фd8! 4 Фd6 Фе8 and White is making no prog- ress; 1 ПЬ7? is also bad because 1...Фе8! 2 Феб Фd8! 3 Фd6 Фс8! gains an important tempo) Фе8 2 Феб! Фd8 3 Фd6! Фс8 (З...Фе8 4 5)f6+ Ф^ 5 Феб wins) 4 &е7+! ФЬ8 5 5кб+! Фс8 6 Пс7 mate. Sometimes White must take care to avoid stalemating Black. (243): 1 Sh8+! Фd7 2 Sh7+! Фd6 3 5)f7+! (White cannot take the rook immediately; first he must im- prove his knight position, but not by 3 5)b7+? Феб!, which only draws) Фс7 (З...Фсб 4 &e5+! is the same) 4 2>e5+! ФЬб 5 2k4+! Фаб 6 Sh6+!
158 Secrets of Pawnless endings (244): 1 Ф?6! Eh5 (the best de- fence; l...&f8 2 Sa2 i’gS 3 ^g6, 1 ...Eh4 2 0*5+ ФЬ7 3 Eg7+ ФЬ6 4 2>f7+ ФЬ5 5 Eg5 mate, l...Bh3 2 £lf2+ and l...Eh7 2 £lh6+ lose more quickly) and now: 1) 2 Феб (the composer’s inten- tion is the fastest win) ФЬ8 (2...ФТ8 3 £if6!) 3 ФТ7! Eh7+ 4 ФТ8! Ea7 5 Eh2+! Eh7 6 £lh6! and wins. 2) 2 £lh6+(the composer thought that this led to a draw but in fact it is an alternative win) ФЬ7 3 £>f5! (not 3 £>f7? Ef5+! 4 ФхГ5 stalemate) Ehl 4 ФТ7 winning as in diagram 250 below. Topche ev, 1927 ‘64’ ФЬ7 (6...ФЬ5 7 Eb6+! Фа4 8 ФеЗ ЕЬ7 9 £1Ь2+! also wins) 7 £к!6+! ФЬ8 (7...Феб 8 2к8+! and 7...Фс7 8 £1Ь5+! are no better) 8 Eh8+! Фс7 9 £1Ь5+! and White can safely capture the rook. The composer of the next study intended an attractive winning idea, but he overlooked an alternative so- lution. 244 +/= Pogosiants, 1981 The 19th century composers also had some attractive ideas. 245 +/- Assalini, 1850 La Regence (245): White to play wins com- fortably by 1 Ef6 Ea8 2 £te7+ ФЬ8 3 ФЬб Eb8 4 Ef7, so we take Black to move. The main line runs l...Фf8 (1 ...ФЬ8 2 Фf7,1 ...Bf8 2 21e7+ ФЬ8 3 Ea5 and l...Ed8 2 Ea7 Eb8 3 £k!6 ФЬ8 4 Eh7+ Фg8 5 Eg7+ ФТ8 6
Rook and Knight v Rook 159 Ф117 all lose quickly, while l...Bb8 2 Hf6! either transposes to the main line after 2...Be8 3 £>h6+! or loses to 2...ФЬ8 3 ФЬб Ea8 4 £le7 Bb8 5 Bf7) 2 Bf6+! Фg8 3 £>h6+! ФЬ8 4 ФТ7! Ba8 5 £>f5! Ea7+ 6 Фg6! Ea8 7 ФЬб Be8 8 £le7 Ea8 9 Bf7 Ea6+ 10 £g6+ and wins. It is hard to imagine getting one of these basic positions wrong, but it sometimes happens, as in the two following examples. 246 =/= Berger, 1890 Theorie und Praxis der Schachendspiele (246): The critical position arises after 1 £le6+ Фg6! 2 Bg2+ ФЬ7! (2...ФЬ5? 3 Фf5 and 2..ФТ7? 3 Bg7+! Фе8 4 Фd6! Bh7 5 £k7+! are lost) 3 £lf8+ ФЬ8! 4 £ld7 and now Berger gives three lines which are supposedly winning for White, but in reality only one of these is lost for Black: 1) 4..JU17? 5 £if6! Ee7+ 6 Фf4 (a lot faster than the composer’s 6 ФТ5) with immediate mate. 2) 4..JZhl 5 Феб and now 5...Efl is the simplest draw. There are only two real dangers, namely ФТ7 and £lf6. The first is prevented directly, while 6 £f6 Egl is safe. After 6 Фе7 Bf5 (but not 6...Bf3? 7 £if6! Bg3 8 Bh2+! Фg7 9 £ih5+!) White cannot make progress. 3) 4..JIh5+ 5 Феб and now the only move to draw is 5...Ehl!. From line 2 we know that the rook is well placed on the fifth rank because £rf6 can be met by ...Bg5, and in fact the position after 5 Феб is drawn even with White to play. However, the rook cannot stay on the fifth rank be- cause 5...Ea5 loses to 6 ФТ7!. The third rank is bad because of the fork by £lh5+ (see line 2 after 6...Ef3?), so this leaves 5...Ehl ! as the only waiting move. 247 +/= Pogo siants, 1979 4th Comm., Revista Rornana de Sah QAT): 1 ФЬ6+ ФЬ8 (l..J?d7 2 Bc7+!) and now the composer over- looked an instant win by 2 Bd4. Other winning moves are 2 Be4, 2
160 Secrets of pawnless Endings Bg4 and 2 <5kl6, but the move Pogos- iants gave, 2 £k!8?, allows a draw by 2...ЕЫ (Pogosiants only analysed 2...Eh6+? 3 2>c6+! Фс8 4 Ed4! Ed6 5 Ee4! Eh6 6 Ee7! Eh7 7 2>a7+!) 3 &c6+ Фс8!. 6.2: King in the corner The following position is fundamen- tal to all such situations: 248 Centurini, 1887 La Regence (248): White to play wins imme- diately by 1 £lh7 Ea8 2 Ee7, so we take Black to move. Since this position is winning, it follows that any position with White’s rook on the e-file and Black’s rook on the f-file is also a win. The reason is that Black to play can only move his rook along the f-file, whereupon White can play 1 Ee8+ and 2 Eel, reaching diagram 248. 1 ... Ef2 This is the toughest defence. After l...Ef4 (not 1...ФЬ8 2 2>f7+ *g8 3 £>h6+ ФЬ8 4 Ehl and White wins at once) White can play 2 Eal immedi- ately, exploiting the inferior position of Black’s rook, which prevents the important defence 2...Ф18. 2 Ee4 White’s plan is to use zugzwang to force Black’s rook to f4. There are various ways to achieve this, but we choose the most forcing line even though slightly quicker methods ex- ist. Note that 2 Ee7? ФТ8! allows Black to draw. 2 ... Efl Not 2...Ef8 3 £)h7 winning im- mediately. 3 Ee2 Ef4 Mission accomplished. Note that because Black cannot play ..ФТ8, White is free to move his rook off the e-file. As we shall see later, White needs to play his knight to the e-file, so he needs to move his rook to an- other file to prevent obstruction by the knight. 4 Ea2 Efl After 4...Ef8 5 2>h7 Ec8 6 2>f6+ Фf8 7 Ea7 Ec7 8 2>h7+ White can safely take Black’s rook. 5 Ea8+ Ef8 6 Eal This manoeuvre is very impor- tant. White’s plan is to improve the position of his knight, and this can only be achieved when Black’s rook is on f2 or f4. The reason is that with the rook on f4, White can play 4&e6, meeting ...Eg4+ by Фf6 when Black has no checks, while with the rook on f2, the continuation 4ie4 Eg2+ ФТ6 is similar. Therefore White must prevent ...Efl.
Rook and Knight v Rook 161 6 ... Ef2 Or 6...Bf4 (6...Ec8 7 Bc6+ 8 2rf6+! *f8 9 Ba7 Bc7 10 2>h7+) 7 5)e6 Eg4+ 8 A?f6! (threatening 9 Ea8+ ФЬ7 10 2>g5+) ФЬ8 9 Ea8+ Eg8 10 Ш and Black’s rook must move away, allowing White to mate in two. 7 ^ie4 Eg2+ 8 ФГ6! ФЬ8 The only move to meet the threat of 9 Ea8+ and 10 £lg5+. 9 Ebl Purely a waiting move. Black’s pieces are on their best squares and he must make a concession. 9 ... Bg4 Everything else leads to an imme- diate disaster, but now White can win just as in the note to Black’s 6th move: 10 2>g5 Bf4+ 11 S&g6! *g8 12 &e6 Bg4+13 AT6! ФЬ814 Bb8+ Eg8 15 5)f8 with a quick mate. If we move White’s rook to the left in the initial position, then White wins even more quickly, because the preliminary manoeuvre on moves 1-6 is no longer necessary. We call this general class of posi- tion ‘Centurini wins’ after the Italian composer who first analysed this type of ending. (249): This superficially similar position is drawn. If White moves his rook along the first rank, then Black can play ...£Т8. So White can only try to improve his position by unpin- ning the knight, but this doesn’t suc- ceed against accurate defence: 1 ФГ6 Bg3 (l...Bg4? 2 Eal Bf4+ 3 *g6! wins because 3...A?f8 is impossible, so White forces a true Centurini win; 249 =/= l...Ea2 is another good defence, however, when 2 4ie6 can be met by 2...Eg2 or 2...Ea6) 2 £le6 Eg2! (not 2...Eg4? 3 Eal winning as there is no check on f4) 3 Ef3 (3 Eal Bf2+! 4 A?g6 Bg2+! 5 £lg5 A?f8! draws) Egl! and White cannot win so long as Black stays away from the mined square g4. If White’s king is on f6 and his knight on f5 there are also winning chances. We first examine a prelimi- nary position, which is important in its own right. (250): 1 A?g6 and now: 1) l..JIg8+ 2 *h6 Egl (2...Ec8 3 2rf4 *g8 4 ^g6 Bc7 5 ^e7+) 3 Bb8+ Bg8 4 £)f8 and mates. 2) 1..Ле8 2 ШЕс8 3ФЬ6 win- ning as in line 1. 3) l...*g8 2 2k7 Bc8 (2...Bd8 3 £id5) 3 £id5 *f8 4 2>f6 wins. 4) 1..Лс8 2 Bb6 *g8 (2...Bg8+ 3 *f7 Egl 4 Bb2 Bfl+ 5 *g6! Egl + 6 5)g5 wins) 3 £lg5 (a favour- able Centurini position in which Black isn’t even able to set up a de- fence with his rook on the f-file)
162 Secrets of Pawnless Endings 250 +/- Centurini, 1850 La Regence Livshits - Polak Oakham 1992 ФЬ8 (З...ФТ8 4 Веб! *g8 5 2>h7 ФЬ8 6 2>f6 Bf8 7 Be7 Bf7 8 Be8+ mates, or 3...Bf8 4 £lh7 Ec8 5 £lf6+ ФЬ8 6 Ebl) 4 <S2»h7 Eg8+ 5 ФЬб! Ea8 (5...Egl 6 Ea8+ Eg8 7 2>f8 mates) 6 2>f6 Bf8 7 Bc6 Ea8 8 Bc7 and mate. White also wins if Black is to play. The only move to improve Black’s position is l...Ea6, but this transposes into line 2 of diagram 252 below. Just to show that these endings do sometimes arise in games: (251): 1 Ea5 (1 Фа8 Bel 2 Ba7+ Фс8 3 Ba2 2kl7 4 Фа7 Фс7 5 Фаб Bc5! 6 Фа7 £1Ь8 wins) Bel 2 Фа8 Вс2 (for the moment Black cannot see how to make progress; from the previous diagram we know that 2...3M7 is a simple Centurini win) 3 Ba7+ Фс8 (maintaining the win, but З...ФЬ6 4 Bh7 Bg2 5 Bh6+ Фс7! 6 Bh7+ £k!7 is faster) 4 Ba5 Bc3 (4...£kl7 is quickest) 5 Фа7 Фс7! 6 Фа8 (making it easy; after 6 Eal Black would still have to find a winning line) ФЬб 0-1 in view of 7 Ba2 Bh3 8 Bb2+ £>b3 and mates. 252 +/= Original (252): If Black’s rook were on al, for example, then the possibility of a sideways check would be enough to draw. However, if the rook starts on hl, gl or dl there is no sideways check and Black loses, although the win is moderately complex: 1 Be8+! (White’s first job is to transfer his
Rook and Knight v Rook 163 rook to a better position on the e-file with gain of tempo) ФЬ7 2 Be2 and now: 1) 2...ФЬ8 3 *g6 Bgl+ 4 *f7 Ehl 5 Ef2 ФЬ7 6 &еЯ winning as in diagram 250. 2) 2...ВП 3 Bg2! ФЬ8 (3...Ef3 4 Eg5 followed by Ф47 is similar) 4 Bg5 Ehl 5 *f7 Bh7+ 6 *f8 Bh3 (6...ВЫ 7 2kl6 ФЬ7 8 Bg7+ ФЬб 9 £>f7+ ФЬ5 10 Eh7+ wins) 7 Bg4 (not 7 £kl6 ФЬ7 8 £lf7? Bg3! draw- ing, but after 7 Eg4 White really does threaten 8 £kl6 ФЬ7 9 Eg3 10 2>g5+) ФЬ7 8 ФТ7 Bh2 (8...ФЬ8 9 2>h4 Ehl 10 Bg8+ ФЬ7 11 Bg7+ ФЬб 12 2rf5+ ФЬ5 13 Bh7+ wins) 9 Ef4 Bh3 10 ?le7 and again we reach diagram 250. 3) 2...Фв8 3 21e7+! ФЬ7 (З...Ф118 4 Bf2 Bh7 5 Bg2 Bh6+ 6 Фf7 is a Centurini position) 4 Eg2 Bfl+ (4...Eh6+ 5 ФП Ea6 6 Eh2+! Eh6 7 Ea2 is exactly diagram 248) 5 £rf5! ФЬ8 6 Eg5 winning as in line 2. 253 Assalini, 1850 La Regence Knowledge of the above basic po- sitions can be a big help in analysing more general В+Ф v E situations. (253): 1 Bg8+! ФЬб (1...ФЬ4 2 ФГ4! ФЬ5 3 ФГ5! ФЬб 4 2>g4+ mates) 2 Фf6! ФЬ7 3 Bg7+! (3 Bg3? Eal draws) ФЬ8 4 Eg3! Eal 5 £lf5! Efl (5...Ehl 6 Ф17 is similar) 6 Eg5 transposes to line 2 of the previous diagram. 6.3: The rampant rook We will consider the following basic position. Where must Black’s rook be in order to draw with Black to play? 254 +/- (254): It turns out that Black to move draws if he can start by playing l...Eb7, but otherwise he loses (we ignore trivial cases such as taking White’s rook on the first move!). Firstly consider the diagram position. White wins after l...Eel+ (l...Ec7 loses to 2 Ba8+ Фg7 3 4k8+, while l...Bc6+ fails to 2 Ф15! Bc5+ 3 Фg4 Bc4+ 4 Фg5 Bc5+ 5 ФЬб and the
164 Secrets of Pawnless Endings checks run out) 2 ФГ7! (not 2 ФГ5? He5+! 3 i’gG Eg5+! 4 ФЬб Hg6+!) Hal 3 Ee7! (forced, for otherwise 3...Ea7 draws) Hel (after 3...Ha7 4 5)d7! White threatens 5 i’ge, and 4...Ф117 loses to 5 £lf8+ Ф118 6 £>g6+) 4 4ie4! Hgl (4...Hfl+ 5 Фg6 and 4...Ф117 5 Ee5 Ehl 6 Eg5 ФЬб 7 Eg6+ win for White) 5 Ee5 Eg7+ 6 Фf6! Eg4 (alternatively, 6...Eg2 7 Ea5 Egl 8 Ea2 Eg4 9 ^>g5 Ef4+ 10 Фg6! Фg8 11 21e6 Eg4+ 12 Фf6! is winning for White) 7 £lg5 Ef4+ 8 Фg6! Фg8 9 Ea5 Efl 10 Ea8+ Ef8 11 Eal winning exactly as in dia- gram 248. Now move the rook to bl. Then l...Eb7! 2 Ea8+ Фg7 isn’t danger- ous because the check on e8 doesn’t win Black’s rook. The same basic rule applies if the pieces are on slightly different squares, for example if White’s rook is on c7 then Black can draw by l...Ea7 or l...Eb7, but if his rook starts on dl, fl, gl or hl then Black cannot save the game. 255 +/- Original Using the above ideas we can solve the vast majority of ‘rampant rook’ positions. (255): This diagram is based on positions by Centurini (1878) and Evreinov (1977). White wins after l...Eg3+ (l...Ea2 2 Ef4 wins after 2...Eg2+ 3 Фf7! Eg7+ 4 Фе8 Eg6 5 Фf8 Eh6 6 Ef5 or 2...Ha4 3 Hf5 Ea5 4 £id5 Ea6+ 5 ФТ7 Eh6 6 2>f6) 2 ФП! Eg7+ (2...Eg2 3 Hf4 wins as in the last bracket) 3 Фf8! (not 3 Фе8? Hg2! and 4..^g7) Ef7+ 4 Фе8! Ef8+ 5 Фе7 Ef7+ (or 5.. .Ha8 6 Eg2! Ea7+ 7 Феб Ea6+ 8 Фf5 Ea5+ 9 Фg6! and wins as in the pre- vious diagram) 6 Феб! Ea7 (6...Ef8 7 Eh2+ Фg7 8 Hg2+! ФЬ8 9 Фf5 wins after 9...Ed8 10 Eh2+ Фg7 11 Eh7+ Ф18 12 Фg6 or 9...Ha8 10 Eh2+ Фg7 11 Hh7+ Фf8 12 Eh8+) 7 Eg2! Ea6+ 8 Фf5! Ha5+ 9 Ф^б! and again we reach the previous dia- gram. If White’s king is further away from the knight then the situation can change. (256): Black to play draws, either by l...Eh6 2Hf7Eh34^d4fid3+! 4 Фс5 Ec3+ and there is no hiding place when White’s rook is blocking f7, or l...Hh4 2 ФеЗ Eh6! (now Black has no choice; every other move cre- ates a fatal weakness, so this position is nearly zugzwang) 3 Ef7 Eh3+ as above. White to play can try: 1) 1 Фс4? (1 Фе4? Hel+! 2 Фf5 Ee7 draws) Eh6! 2 Ef7 Ehl (not 2...Eh4+? 3 Фd5! and now 3...Ed4+ loses to 4 Феб Ed6+ 5 Фf5!, so Black must play З...ЕЫ, when 4
Rook and Knight v rook 165 256 +/= Petrov (version) Shakhmaty 1970 Ea7 wins as in diagram 254) 3 Ф<15 Hdl+! 4 Феб Де1+ and the king cannot find shelter. 2) 1 *d4! Hh6 (l...Edl+ 2 Фс5 Дс1+ 3 Ф<15 Edl+ 4 Феб wins as in diagram 254) 2 Фе5 Shi 3 Феб with the familiar win again. The above analysis applies to a wide range of positions. We take a few examples. 257 +/= Original (257): Black to play draws by l...Sb6, so we suppose that White is to move. 1 Zb7+! Фа8 2 Zb3 Zc6+ (this stalemate trick is the only de- fence; after 2...Фа7 3 Фс7 Фа8 4 £кб Black is helpless) 3 Фd7! (3 Фd8? Sc5! 4 £kl7 Scl draws) Zc5 (3...Scl and 3...Sc2 are answered the same way) 4 Фd6! (it is too early for 4 2k6?, which is met by 4...Zb5! drawing) Scl 5 Eb2 (this attractive move puts Black in zugzwang) Sc8 (5...Sc3 loses to 6 £lc6 since 6...Sb3 7 Sa2+! ФЬ7 8 £la5+! wins the rook, so Black is short of squares on the c-file) 6 £k6! Sh8 7 Фс5 and wins as in diagram 254. The next two positions are inter- esting in their own right, but they are also necessary in order to understand diagram 260. Original (258): In this curious position White wins by transferring the move to Black, and therefore Black is lost whoever moves first: 1 Hc2 (1 Hc4 is just as good; the aim is to force
166 SECRETS OF PAWNLESS ENDINGS Black’s rook to one of the inferior squares b2 or Ь4) Bb2 (after l...Eb4 2 £k!7 Black loses more quickly) 2 Ecl Ebl (2...Ba2+ 3 ФЬб Bb2+ 4 Фс7 Ea2 5 Bc3 wins as in diagram 250) 3 Ec3 Eb4 (3...Eb2 4 £>a4 wins at once, while З...ВЫ 4 ФЬб! Ebl+ 5 Фс7 wins as above) 4 £)d7 Ba4+ 5 ФЬб! Ba6+ (5...ВЬ4+ 6 Фс7 Bb7+ 7 Фс8 wins) 6 Фс7! Еа7+ 7 Фс8 Eal 8 2>Ь8 Фа7 9 Фс7 Фа8 10 £кб Баб 11 Bh3 wins. Original (259): White wins by 1 Eh8+! Eb8 2 Eh3! (the only way to win; af- ter 2 Eh2, for example, Black replies 2...Eb2, and White has to return to h8; however, on b3 White can escape the attentions of Black’s rook be- cause b3 is covered by the knight) Eb4 3 Ec3! (this move is necessary to prevent ...ФЬ8) and we have trans- posed to the previous diagram. Black to play draws by 1...ФЬ8. (260): White wins by 1 £k7+! Фа7 2 4k6+! Фа8 3 £1c5! with four possibilities: 260 +/= Original 1) 3..JZg3 4 Bh6! Bg7 (4...Bg8+ 5 Фс7! Eg7+ 6 ФЬб Bg8 7 Ec6 Bh8 8 Фаб Ed8 9 £k!7 followed by Ec7 wins, as does 4...Ba3 5 Фа7 6 £k7! Ea5 7 Bc6 and Black is in zug- zwang) 5 Ea6+ Ea7 6 Eb6 Eh7 7 2kl7 Bh8+ 8 Фс7! Фа7 9 Eb4! (other rook moves on the b-file are met by 9...Фаб! drawing) Eh6 (9...Фаб 10 £lb8+! wins, thanks to the choice of b4) 10 Ea4+! Ea6 11 Bh4 with a Centurini win. 2) 3..JZc3 4 Bc7! Bh3 5 Bc6! Eh7 6 Ea6+ transposes to line 1. 3) З..ЛЬ8+ 4 Фс7! Bc8+ 5 ФЬб! Bb8+ 6 Фаб Bbl 7 Eh8+ Bb8 8 Bh3 winning as in the previous diagram. 4) З..ЛЬ5 4 Bh5! (this appears passive, but now Black is in zug- zwang) Ea5 (4...Eb2 5 Eh6 Ea2 6 £1а6 Фа7 7 ^Sc7! Ea5 8 Ec6 is zug- zwang, and White wins after 8...Bal 9 £lb5+ Фа8 10 Bb6, while 4...Фа7 5 Фс7! leaves Black with nothing better than 5...Ba5 transposing to the main line) 5 Фс7 Фа7 (5...Bal 6 Bh3 Фа7 7 ВсЗ wins as in diagram
rook and Knight v rook 167 250) 6 Феб Sal 7 Eh2 transposes to diagram 252. 261 Original (261): 1 *d8! Веб (after 1...Фа7 2 Фс7 we are already in a Centurini win) 2 5)b8! (this move appears very strange, but 2 ^e5? Bc5! 3 ‘Ski7 Scl draws) Scl (or any other square on the c-file) 3 <4’d7! Sc2 (Black has nothing better than to wait) 4 Фч16 (4 5k6? Sb2! draws) Scl 5 Sb2 (sud- denly Black is in zugzwang; 5...Sc3 loses to 6 SY6 Sb3 7 Ea2+ ФЬ7 8 £la5+, so Black has no good square on the c-file - this is similar to dia- gram 257) Sc8 6 £k6! winning as in diagram 254. Black to move draws by l...Sh6. The next position introduces an exact king march. (262): This study adds some extra subtleties to the ‘rampant rook’ situ- ation. 1 ФТ6! Sei The position is basically symmet- rical, so there are two echoed varia- tions. The other line is 1 ...Sa5 2 Sb7 262 +/= Kos, 1979 4th Pr., Revista Romana de Sah (2 Sh2? Sa3 draws as in Petrov’s di- agram 256) Bf5+ 3 Феб Se5+ 4 Фd6 Sei 5 Фс5 and is simply a re- flection of the main line. 2 Sh2 Not2Sb7?Ecl. 2 ... Ee6+ 3 ФТ5! Not 3 Фg5? (3 ФП? Bf6+ 4 Фg7 Ef7+ also draws) Bg6+ 4 ФГ4 Eg2 drawing. 3 ... Ee5+ After 3...Ef6+ 4 Фе4 Bf2 White wins by 5 Eh 1+! and 6 £kll+!. This explains why it is safe to allow a rook check on the f-file, but not on the g- file. 4 ФТ4! EaS Black loses much more quickly after 4...Ef5+ 5 Фе4! (but not 5 ФеЗ? Bf3+! 6 Ф<12 Ed3+ 7 Фс2 Eh3! 8 Ed2 Ed3!) Ef4+ 6 ФdЗ! Bf3+ 7 Фс4! Bf4+ 8 ФЬ5! Ef5+ 9 ФЬ4 Ef4+ 10 ФаЗ. 5 ФеЗ and wins as in diagram 254.
168 Secrets of Pawnless Endings Our final example adds a prelimi- nary knight sacrifice to the standard pattern. 263 Haiek, 1929 Ceskoslovensky Sach (263): 1 £lh5! (the knight must move because Black threatens to play ...Efl+, but White must also stop ...Bh7+) Bbl (1...ВП+ 2 2if6! is diagram 254 and l...Bxh5 2 i’gb wins at once) 2 Ea5! (threatening 3 Bd5 followed by 4 £lf6, when 3...Eb7+ can be met by 4 £kl7) Bb2 (Black cannot prevent White’s plan as 2...Bb7+ 3 i’gb! Bb8 4 £lf6 wins immediately) 3 Ed5 Eg2 4 Bdl (threatening Ehl) Ba2 5 Ea7+ 6 “5)d7 wins. As usual, we include the longest win in the given ending, but we must first consider a preliminary position which, as it happens, has a very sur- prising solution. (264): Black to play draws by l...Bg6 2 Be7 (2 2k6 Bg7) Eh6 3 5)c6 Eh7, so suppose that White moves first. 264 +/= Nunn, 1993 Batsford Chess Endings 1 Eh4 It is incredible that White can only win by removing his rook from the seventh rank (1 Bhl/h2/h3 also win, but more slowly). The idea is that White wants to play either ФЬб or £te6, but the immediate 1 5)c6? Eg7! and 1 ФЬб Eb8+ 2 Фс7 Ec8+ allow stalemating defences, so the first step is the paradoxical retreat of White’s rook. The alternatives are: 1) 1 ФЬб Bb8+ 2 Фаб? (2 Фс7 Ec8+ loses time, so the best move is 2 Фс5! repeating) Bbl! (but not 2...ВЬ2? 3 Фс4! Ba2+ 4 ФЬб! win- ning) 3 £te4 (3 £te6 BbfH-!) ФЬ8 and draws. 2) 1 Bh6?Bg2! (but not l...Bgl? 2 ФЬб! Bbl+ 3 Фс7! winning after 3...Bcl+ 4 2>c6! Ehl 5 Ee6 Bh7+ 6 Qtel or З...Фа7 4 £te6+! Фаб 5 2>b8+! Фа5 6 Ba6+!) 2 ФЬб Eb2+! 3 Фс7 Фа7! 4 2кб+ Фаб! 5 2>Ь8+ (5 0*5+ Фа7!) Фа5! 6 Еа6+ ФЬ4! and Black’s rook is close enough to
Rook and Knight v Rook 169 be defended by his king after White’s 7 Bb6+. 1 ... Eb8 Other moves: 1) l..JIg6 2 2>c6! Eg7 3 Ea4+ ФЬ7 4 Ba7+ Фс8 5 *d8 (5...ФЬ8 6 ФЬб) 6 *d6 Фе8 7 Феб! Фd8 8 Ed7+ Фе8 9 Ec 7 wins. 2) l..JIgl 2 ФЬб! ВЫ+ 3 Фс7! Egl 4 Bh5 Bg2 (4...Bg7+ 5 ФЬб) 5 Be5 Bb2 (5...Eh2 6 2k6 Eh7+ 7 £te7) 6 Eel Фа7 7 Eal! (this works now that Black’s rook is on the unfa- vourable square Ь2) Фаб 8 £te4+! wins. 3) 1..Лс8+2ФЬ6!ЕЬ8+ЗФс7! (now there is no stalemate after ...Bc8+) Bg8 4 Bh6 Bg7+ 5 ФЬб! Eg8 6 £>c6 wins. 4) 1...Фа7 (1.. ,ФЬ8 2 5k6+! Фс7 3 Eh7+! Фс8 4 ^e7+) 2 2кб+! Фаб 3 Ba4+! ФЬ7 4 Ea7+! Фс8 5 Ea8+! wins the rook. 2 £k6 Ebl 3 Bh7! Ecl+ and now 4 Фd6 Edl+ 5 Фс7! Ehl 6Bd7! wins as in diagram 254. 265 (265): This is the longest win in the ending of В+Ф v E. White to play wins in 33 moves by 1 Ea8+! Фd7 2 Ba7+! Фс8 3 Фd6! Bd8+ 4 Феб! ФЬ8 5 Bb7+! Фа8 (5...Фс8 6 Ec7+ ФЬ8 7 ФЬб) and now White must be careful: 1) 6 Eh7! with three possibili- ties: la) 6..JU1 7Фс7! Ecl+ 8 2k6! Ehl is diagram 254. lb) 6..JEg8 7 £te4 Eg6+ (alter- natively, 7...Ec8+ 8 ФЬб! Ef8 9 Фаб ФЬ8 10 2>b6 Bf7 11 and wins) 8 £ki6! ФЬ8 9 Ed7 winning as in diagram 252. 1c) 6...Ec8+ 7 ФЬб! Eb8+ 8 Фс5! (8 Фс7 Ec8+ loses time, while 8 Фаб? Ebl! is drawn after 9 &c4 Eal+ 10 ФЬб Bbl+! or 9 &c6 Eb6+!) Bg8 (8...Bbl 9 2>c6! Bcl+ is diagram 254) and we have reached the previous diagram, so White wins by 9 Bh4. 2) 6 Eg7? (it seems incredible that the choice of g7 or h7 can change the result of the game) Ec8+! 7 ФЬб Bb8+! 8 Фс5 Eh8! 9 Eg4 (White adopts the plan of line 1) and now: 2a) 9..JZh6? (9...Eb8? loses as in the previous diagram) 10 £te6! Eh7 11 Bb4 (11 Ba4+? ФЬ7! 12 Ba7+ Фс8! is a draw because Black has a check on h6 after 13 &e7+ Фd8 14 Фd6) Eh5+ 12 ФЬб! Eh4 13 Eb5 wins as in diagram 254. 2b) 9...ФЬ8! 10 £кб+ Фс8! and now the difference between 6 Eh7! and 6 Eg7? is revealed; there is no knight fork on e7 and Black draws.
170 Secrets of pawnless Endings 6.4: The 10 reciprocal zugzwangs There are ten positions of reciprocal zugzwang with v E. Two are trivial, namely Wi’c8,Ef6,£lg6 v B<£’e8,Eg8 (zzl) and the same posi- tion shifted one square to the right (zz2). In zzl Black to play loses at once, while with White to play 1 Фс7 Eg7+ 2 Фс8 Ec7+ is an imme- diate draw. T\vo others are only slightly more complicated; these are Wi>d6,Bb6,2>a6 v ВФс8,Еа8 (zz3) and the same position with White’s knight on d5 instead of a6 (zz4). With Black to play the only move is 1 ...*d8, but then 2 2>c7! Ec8 3 Eb7! ends the game. It is also easy to see that White to play can’t achieve any- thing, for example with the knight on аб, 1 Феб 4>d8! and 1 Фе7 Ea7+! 2 Фе8 Ee7+ both lead to a draw. This leaves six positions of some interest, which we give in ascending order of winning length with Black to play. zz5 (5 moves) (266): With Black to move l...Ee8 (l...Eg8 2 £te6+! wins after 2...Фа8 3 4ie7 or 2...Фаб 3 &e7+l, while 1...ЕП 2Eb6! and l...Ba82Ehl are easy wins) 2 £кб+! Фаб (2...Фа8 3 Ehl Ec8+ 4 ФЬб wins) 3 Eh5! wins because the unfortunate position of Black’s rook prevents a check on the second rank. Thus e8 and g8 are bad squares for Black’s rook while f8 and h8 are good squares. It follows that White to play cannot win, for exam- ple 1 £te6+ Фаб! or 1 Eg6 Eh8!. zz6 (7 moves) (267): This is altogether more sur- prising, since it isn’t immediately clear why 1 Ec2 isn’t a waiting move. Take Black to play: Bl) 1...ФЬ7 2 Ec7+! ФЬ8 (the alternative 2...Фаб 3 Фс5 transposes to zz3 with Black to move) 3 £te7 Ea4 (or 3...Ea6+ 4 Фа8 5 Ec8+ mating) 4 £кб+! Фа8 5 Ec8+ ФЬ7 6 Eb8+! Фаб 7 Фс7 wins. B2) l..Лb82^al+!Фb7 3Фd7! Ea8 4 2kl6+ ФЬ8 5 ЕЫ+! Фа7 6 Фс7 mates.
Rook and Knight v Rook 171 B3) 1...ФЬ5 2 Bbl+! Фаб 3 Фс7 and wins. With White to play: Wl) 1 Bc2 ФЬ5! 2 Eb2+ Фс4! and suddenly everything is clear; White’s rook is too close to Black’s king, so 3 £>b6+ fails to З...ФсЗ!. W2) 1 Bc5 Bb8! and Black’s rook escapes. W3) 1 Ф<15 Eb8! 2 Ва1+ФЬ7! 3 £k!6+ Фс7 4 Ea7+ ФЬб! and Black escapes. W4) 1 Ф07 ФЬ5! 2 Bbl + Фс5! reaching safety. The remaining four positions are closely linked. 268 =/- zz7 (15 moves) (268): With Black to play 1 ...Eh8 2 Bc7 Bd8 (2...Bg8 3 Bf7 Bh8 4 Bf6 is diagram 250) 3 Феб Eh8 4 Bg7 wins as in diagram 252. When White is to play 1 Фаб (1 £>Ь5 Edl draws) Bh8 2 Bel (2 2>b5 Bhl) Ed8! 3 £>Ь5 Eh8 draws. (269): With Black to move 1 ...ФЬ8 (l...Bh8 2 Ste7+! ФЬ8 3 ФЬб! Фа8 4 Фс7 wins) 2 £>с7 is line 1 of the 269 =/- zz8(18 moves) next diagram. With White to move 1 Bh6 (1 ФЬб Eel) Фd8! 2 Фd6 Фс8 draws. When diagram 268 is shifted to the right, the play becomes more complicated. 270 =/- zz9 (22 moves) (270): With Black to move: 1) 1...ФЬ8 2 5k7 Ec8 (2...Bh8 3 ФЬб Bg8 4 £>Ь5 Фа8 5 2kl4 Eb8+ 6 Фаб Bh8 7 ®c6 Ec8 8 Веб and 9 Be7 wins) 3 Ed7! Eh8 (З...Фа7 4
172 Secrets of Pawnless Endings Zdl) 4 <£»Ь5! Hc8+ (4...Sh6+ 5 £ki6! Sg6 6 ФЬб is diagram 252) 5 ФЬб! Scl 6 Sd4 leads to a Centurini win. 2) l..J2h8 2 Sd7! Se8 (2...Sg8 3 Sh7 is diagram 241) 3 Zc7+ ФЬ8 4 ?k5 Фа8 5 Zh7! (not 5 Sg7?Sh8! 6 2>e6 Sh6! 7 Se7 ФЬ8! 8 ФЬб Фс8! 9 Фа7 Zh7! drawing) Sg8 (5...Sc8+ 6 ФЬб is line 3 of diagram 260) 6 Sg6 7 Se7! Zg8 (7...ФЬ8 8 ФЬб! Фс8 9 Фа7 wins because after 9...Zg7 White can capture with the knight) 8 ФЬб Sb8+ 9 Фаб Sh8 10 Sd7 ФЬ8 11 ФЬб! Фс8 12 Дс7+ ФЬ8 13 £ki4 wins. White to play has no winning chances, for example 1 ФЬб Sh8 2 Sd5Se8. The play in the position WФd6, Sd7,£ie6 v ВФс8,Де8 (zzlO) is vir- tually identical. With Black to play 1 ...Zh8 (1 ...ФЬ8 2 £*14 Фс8 3 Ec7+ mates) 2 Феб! is line 2 above, while with White to move 1 Zh7 (1 Sc7+ ФЬ8 2 2k5 Sh8 draws) ФЬ8! 2 2kl4 Zd8+! 3 Фс5 Фс8! followed by ...Zd7 draws.
7 Rook and Bishop v Rook Of all the endings considered in this book, H+JL v H is probably of greatest in- terest to over-the-board players. There are two main reasons for this. Firstly, it is more marginal than most other five-man endings; the general result is a draw, but there are significant practical winning chances, no matter what the initial position. Secondly, it often arises in actual play. These two reasons are not independent; because the superior side knows that real winning chances exist, he may head for this ending rather than adopt an alternative line which he perceives as offering even slimmer prospects of victory. In other words, a clearly winning ending will be avoided at all costs by the inferior side, while a clearly drawn ending will be avoided at all costs by the superior side, but both sides may cooperate to reach a marginal ending. There is no doubt that the general result is a draw. Out of 74 practical exam- ples I have collected, there were only two cases in which the initial position was winning (and in one of those the result was a draw!). How, then, can one explain the large number of decisive results? One reason is simply fatigue. The ending is genuinely tricky to defend, and requires constant alertness to avoid falling into what I call a ‘marginal’ position, i.e. one which is still drawn but requires very precise defence. The usual pattern in games which end deci- sively is that the weaker side makes an initial inaccuracy which takes the posi- tion from the realms of ‘drawn’ into marginal areas. High-class defensive play could still save the game but, perhaps demoralized by the disappearance of a relatively easy draw and exhausted by fatigue at the end of a long game, the defender makes a further error reaching a lost position. Very few players have saved the game from this situation, because the attacker’s side is much easier to play. In the last stage, precise defence could still force the attacker to play accurately, but the defender usually collapses completely at this point and the game is rapidly concluded. Successful defence also follows a pattern; the in- ferior side chooses his defensive plan and sticks to it consistently, always be- ing careful never to let his opponent make progress. Out of the 74 practical examples mentioned above, in 72 cases the initial position was a draw and in two cases it was a win. Taking the 72 drawn posi- tions, in 35 cases the superior side had a winning position at some stage, and 28 of them actually concluded decisively (and no, the side with the rook didn’t win any). These figures may be biased by the fact that games are more likely to be published, either in magazines or on disc, if something interesting happens; a correctly played defence may not satisfy this condition! How- ever, most of my database consists of complete tournaments, which should
174 Secrets of Pawnless Endings substantially reduce such bias, and these figures include a number of endings in which the superior side didn’t make any serious attempt to win the position. Changes in the rules of the game and the format of tournaments have had an effect on this ending, and this process will undoubtedly continue. FIDE has made repeated alterations to the 50-move rule, perhaps being unduly influ- enced by those who are no longer regular tournament players. Recently, how- ever, FIDE has adopted the sensible practical policy of restricting all endings to 50 moves. This means that a microscopic percentage of theoretically win- ning H+JL v E positions cannot be won in practice because of the 50-move re- striction. However, the chances of one of these positions arising in practice must be minute, and in any case spinning the ending out beyond the 50 moves would require superhuman (or at any rate electronic) defensive accuracy, un- likely even for Kasparov. Some of the examples in this chapter were played when the rules allowed the ending to be extended beyond 50 moves. The introduction and spread of quickplay finishes is another influential fac- tor, and one which is likely to become more important in the future. While it is fair to point out that making a serious winning attempt requires some thought, the main burden undoubtedly lies on the defender. Therefore, quickplay fin- ishes tend to favour the attacking side. This makes it particularly important for players to be aware of the basic drawing positions, because there will be no chance to calculate them over-the-board. I would therefore recommend read- ers to study sections 7.1 and 7.2 below, even if they have no time to absorb the rest of the chapter. This should provide a sound basis for defending the vast majority of positions. 7.1: The general draw 7.2: Basic winning and drawing positions 7.3: Marginal positions 7.4: Practical examples 7.5: Tactical ideas 7.6: The 17 reciprocal zugzwangs 7.1: The general draw The defender’s main objective is to avoid his position deteriorating into one of the marginal cases, which would require very exact defensive play. This may not be forthcoming, either due to exhaustion or lack of time in a quickplay finish. There are two basic defensive plans which are 174 178 186 202 220 222 fully adequate to avoid this fate. We call these the ‘Cochrane defence’ and the ‘second-rank defence’. The choice of which defence to adopt is largely a matter of taste, since either one provides a reliable drawing method, but over-the-board players should be familiar with both of them. The reason is that one or other de- fence may not be possible from a
rook and Bishop v rook 175 given initial position. For example, if the defender’s king is already cut off on the back rank by the enemy rook, then a second-rank defence is usu- ally impossible. Knowing both de- fences also allows the defender to switch from one to the other accord- ing to circumstances. My collection of practical examples shows that top- level grandmasters tend to favour the Cochrane defence, but it seems to me that both methods have equal merit. 271 =/= Budnikov - Novik USSR Ch (Moscow) 1991 (271): This is the basic Cochrane drawing position. Black’s king is badly placed, being cut off on the back rank, but in compensation his rook occupies an active position. If White could transfer his king to d6 and his bishop to d5 then he would be winning (see diagram 275 below), but the pin on the bishop makes this impossible. Indeed, White can only free himself by playing i’dS or ФТ5, and then Black reacts by moving his king in the opposite direction; in other words he meets Ф<15 by ...ФТ8 and ФТ5 by ...<4’d8. Then, when the unpinned bishop moves, Black’s rook is again well posted, cutting off White’s king from helping in an at- tack on the enemy king. Black was to play in the game, which continued l...XLel (until White commits his king, Black should simply wait; note that l...i>d8? is a losing blunder, al- lowing 2 i>d6! Фе8 3 JLd5!, and White achieves his aim) 2 Ф<15 (2 Ea4 threatens to win by 3 Феб, but the obvious 2...Фе7 is a good reply) ФТ8 (the instant reaction) 3 JLf5 Be7 (Black takes the chance to improve his position further by releasing his king from the back rank; even if White can later re-establish a partic- ular formation, every delay brings Black closer to the 50-move draw) 4 Ea8+ ФГ7 5 Bal ФТ6 (now White must waste even more time) 6 JLc8 Ee5+ 7 Фd6 Ee2 8 Hf 1+ Фg5 9 i.b7 (White has a long way to go before he can again force Black’s king to the edge of the board; the plan is Ф<15ч14 and Ле4, followed by Фе5) ЕеЗ (Black waits) 10 Фс15 Ee2 11 Фd4 Ee7 (forestalling White’s Ae4 and Фе5 by switching to the other side of the king) 12 i.d5 Ee8 13 Ef7 Eb8 (Black decides to repeat his Coch- rane defence; 13..Ф^6 14 Ea7 Фg5 was also good) 14 Фе5 Eb5 15 Efl Ea5 16 Egl+ ФЬ5 (certainly not 16...ФЬ4? 17 Ф14!, but after the move played we have returned to the initial position, rotated through 90°) 17 Ehl+ Фg5 18 Ebl ФЬ5 19 Egl Bb5 (once again, Black should not take any action until he knows which way
176 Secrets of Pawnless endings White will go with his king) 20 Ф<14 Ф116 (again moving in the opposite direction) 21 Ae4 Eg5 (the outcome is the same; Black frees his king) 22 Efl *g7 23 Af5 *f6 (Black’s king is poorly placed near a comer, so he moves it to a better position on the edge of the board) 24 Фе4 Фе7 25 Edl (25 Фе5 Eg2 followed by ...He2+ repeats the Cochrane position) Sg2 (Black is quick to activate his rook, ready for checks along the second rank) 26 Ed7+ Фf6 27 Ed6+ Фе7 28 Be6+ Фf7 29 Ea6 Ee2+ 30 Фс15 Фе7 31 Ae4 Ed2+ 32 Фе5 Ee2 (for the third time Black settles into the Cochrane draw) 33 Be6+ Фd7 34 Eh6 Фе7 35 Eh7+ Фе8 36 Ea7 (re- turning exactly to the original posi- tion) Eel 37 Ф<15 Sfcf8 38 Af5 Be7 Ч1-Ч2. There are several practical exam- ples which are more or less identical; in each case White was unable to cause any serious problems. When the Cochrane draw operates on the central files, then Black does not face any particular difficulties. More cau- tion is required when the position is shifted nearer a comer. (272): This is still drawn, but after 1 Фс5 Фа8 (1...ЕЫ 2 Aa5 Ecl+ 3 ФЬб Фс8 is also safe for Black) Black’s king is in the comer, a situa- tion which requires more care. Play might continue 2 Aa5 (2 АаЗ ЕЬЗ) Eb7 3 Ac7 Фа7 (З...ЕЫ? 4 Феб! Ecl+ 5 ФЬ5 Ec2 6 Ab6! Eel 7 Ac5 is losing for Black, because White has activated his bishop while keep- ing Black’s king trapped in the cor- ner) 4 Феб Фаб! 5 Ehl Eb6+! 6 272 =/= Фd7 Eg6 7 Ebl Eh6 and we have reached the Kling and Kuiper draw (see diagram 282). The Cochrane draw does not work if it is shifted onto a rook’s file. For example, moving diagram 272 one file to the left (WФa5,Bg7,Aa4 v ВФа8,Еа2) allows White to win if he moves first, by 1 ФЬб! Eb2+ 2 Ab5! with unavoidable mate. Black to play draws by 1...ФЬ8 2 ФЬб Eb2+ 3 Ab5 Ec2!, but this draw (Lolli’s draw) requires very accurate play by Black, and we will consider it as diagram 294. It is impossible for the superior side to force the a- or b- file Cochrane positions starting from a random initial situation. Now we move on to the other reli- able drawing method, the second- rank defence. This method may be unfamiliar to many readers, and is not mentioned in any of the classical endgame works (only Batsford Chess Endings explicitly describes it). (273): Ibis is the basic drawing position of the second-rank defence. It may appear rather alarming for
rook and Bishop v Rook 177 273 =/= Espig - Ernst Thessaloniki OL 1988 White, because all Black’s pieces are actively posted, but it is based on the theory that White’s king cannot be permanently driven to the back rank. The only way to force the king back is by a rook check, but after the king retreats, Black will have to move his rook again in order to avoid an ex- change of rooks. Then White simply plays his king back to the second rank. There is a bit more to it than this, because by using zugzwang Black can force White to retreat his king to the back rank; Black cannot take advantage of this because of a stalemate possibility. To date no- body has found a flaw in this reason- ing. In the example White was to play and the game continued: 1 Ec2 (White can also play 1 i’dl, but for the moment he can keep his rook on the second rank) Ac3 (this is the zugzwang mentioned above; the king has to go back) 2 i’dl (White in- tends to play Фе2 next move, so Black stops it) Фч13 3 Ed2+! (this is the key idea; Black cannot take ad- vantage of the temporary gap in White’s defence) Фс4 4 Eg2 (threat- ening Фе2 again) Ee3 5 Фс2 (the king returns to the second rank, so Black has not made progress) Cel 6 Eg4+ Ad4 7 Ф<12 (White could also have played 7 Sg2 Sal 8 Se2, returning to the second-rank defence) Hal 8 Фе2 Ea2+ 9 ФТЗ (White’s king is free and Black has to start again from scratch) ФdЗ 10 Eg6 (White makes no effort to prevent 10...Ef2+, because he can immedi- ately restore his second-rank defence) Ef2+ 11 Фg4 JLe5 12 Bg5 Фе4 (we are back in the initial position) 13 Eg6 Eg2+ 14 ФЬ5! JLg3 15 Eg4+ ФТЗ 16 Eg7 Ea2 17 Ef7+ JLf4 18 Фg6 (once again, White’s king is free) Фе4 19 Ф16 Ea6+ 20 Фе7 Фе5 21 Ф^7 (White sets up his defence for the third time) Ag5 22 Ef8 JLf6 23 Ef7 Фс15 24 Фе8 (repeating the situation at move two; Black is not getting anywhere) Ee6+ 25 Фd7 Ed6+ 26 Фс8 Феб 27 Ec7+! ФЬб 28 Eb7+ Фаб 29 Ed7 Ееб 30 Ef7 JLe5 31 Фd7 Ed6+ 32 Фе7 ФЬб 33 Ef5 JLh2 34 Ef6 Ч2-Ч2. Perhaps the most flexible approach is to be aware of both methods, using the most appropriate one in any given situation. The following game is a good example: (274): 1 Eb2 (not the only way to make a draw, but it is important to have a defensive plan in mind and not just play from move to move; here White goes straight for the sec- ond-rank defence) Eal 2 ФЬЗ (2 Eb3 also draws, but every other
178 Secrets of Pawnless endings 274 =/= Hodgson - Agdestein Hastings 1991/2 move loses) JLc4+ 3 Фс2 (or 3 ФЬ4) Egl 4 Ф62! (the only move to draw; curiously enough, Black had no threat, but White’s only alternative would be to move the rook off the second rank, which would be fatal) Eg3 5 Фс2 Hh3 6 *d2 JLb3 7 Фс1 Фс4 (this situation is familiar from diagram 273; 7...ФсЗ is met by 8 Bc2+!) 8 i>d2 i>d4 9 Фс1 ФеЗ 10 Bc2+! ФЬ4 11 Hf2 (not 11 Bb2? Ehl+! 12 i>d2 ФаЗ! and the rook is trapped) Ed3 12 Ed2 (or 12 ФЬ2) Ec3+ 13 ФЬ2! (not 13 ФЫ? ФаЗ! and wins) JLc4 14 Ed8 (White could continue his second-rank defence by 14 Bh2 Ea3 15 Bd2 JLd3 16 Ef2, but at the moment Black has no check on the second rank, so White has time to switch to a Cochrane defence) Eh3 15 Bb8+ Фс5 16 Фс2 Фd4 17 Ed8+ JLd5 18 Фd2 Eh2+ 19 Фdl (White achieves his aim, and this is enough to persuade Black to abandon his winning attempts) Фс4 20 Фе1 Ea2 Ч2-Ч2. 7.2: Basic winning and drawing positions The preceding section deliberately avoided a detailed discussion of the basic winning and drawing positions in this ending, because if the defence is conducted correctly, there should be no danger of falling into a mar- ginal position. However, in practice these positions arise frequently, be- cause of either inferior defence or a poor initial position. First of all, we examine the most important winning position, which was discovered by Philidor more than two and a half centuries ago. 275 Philidor, 1749 (275): Black to play draws by l...Ed7+!, driving the king back, so we assume that White is to play. Al- though the winning procedure is not difficult, the position is quite confus- ing because it is easy to go round and round in circles without making any progress. 1 Ef8+! Ee8
Rook and Bishop v Rook 179 2 Hf7! These two moves are easy to un- derstand, because White improves the position of his rook with gain of tempo. Now Black must meet the threat of 3 Ba7, and he cannot do this by 2...Ee7. 2 ... Be2 It turns out that e2 is the best square for Black’s rook and e3 is the worst; el is somewhere in between. The alternatives lose as follows: 1) 2..ЛеЗ 3 Bd7+ Фе8 (З...Фс8 4 Ea7 wins at once, because the de- fence ...Bb3 is impossible) 4 Ba7 i’fS 5 Bf7+ Фе8 (White has forced the king from d8 to e8 with gain of tempo) 6 Bf4 (threatening 7 Лсб+) i’dS (6...Bd3 fails to 7 Bg4 because Black lacks the reply ...Bf3) 7 M4 (the final blow for Black; d3 is cov- ered) Фе8 8 Лсб+ and mates in two more moves. 2) 2..JZel 3 JLf3 (this variation is simply a reflection of the main line, so we just give the moves without any explanation) ВеЗ (З...Фе8 4 Bf4 Фd8 5 M5 Фс8 6 Bb4 followed by 7 JLg4+) 4 Мб Bd3+ 5 M5! Be3 6 Ed7+ and wins as in line 1. 3) 2...Фс8 loses to 3 Ea7 Ed8+ 4 Феб ФЬ8 5 Bb7+ Фа8 6 Bbl Фа7 7 Фс7, with mate or win of the rook. After 2...Be2 White’s ultimate aim is to force Black’s rook to the third rank. 3 Bh7 This is simply a waiting move de- signed to force Black’s rook to the slightly inferior square el. After 3...Be3 White wins as in line 1 of the previous note. 3 ... Bel 4 Bb7 White’s winning line only works when his rook is on f7 or b7. The side-to-side oscillation is typical of this ending; Black is forced to follow suit and oscillate with his own rook between el and cl, but this gives White the chance to transfer his rook from h7 to b7 with gain of tempo. It is also possible to win by 4 Ea7 Ecl 5 Ef7 Eel 6 JLf3, as in line 2 of the note to Black’s second move. Note that the preliminary move 4 Bb7 is necessary; had White played the im- mediate 4 М3?, then Black would draw by 4...Фе8! slipping out of the net. 4 ... Bel 4...Фс8 loses to 5 Bb2 Edl 6 Eh2 ФЬ8 7 Ba2. 5 М3 This is the key idea, without which White cannot make progress, and it explains why el is inferior to e2. This position is a genuine zugzwang; indeed, if White were now to play, his quickest win would be by 1 Мб Bdl+ 2 JLd5 Ecl 3 М3, passing the move to Black. 5 ... Bc3 The only other playable move is 5...Фс8, but then 6 Bb4 (threatening 7 M6+) Фd8 7 Bh4 Bel (7...Фс8 8 ±d5) 8 M4 Фс8 9 Мб Bdl+ 10 Mi5! ФЬ8 11 Ea4wins. 6 Леб Now that Black’s rook has been forced onto the inferior third rank. White transfers his bishop back to d5 with gain of tempo. 6 ... Bd3+
180 Secrets of Pawn less Endings 7 ±d5! Ec3 and now White wins by reflecting the note to Black’s second move; the main line runs 8 Hd7+ Фс8 9 Hh7 ФЬ8 10 Hb7+ Фс8 11 Hb4 *d8 12 Лс4 Фс8 13 JLe6+ and mates. If Philidor’s position is shifted one file to the left then it remains a win for White, but the method is slightly different, because switching to the other side of the king is no lon- ger so dangerous. 276 +/= Lolli, 1763 (276): The winning line again starts 1 He8+! (Black to move draws as before) Ed8 2 Ee7! and now: 1) 2..JIg8 (this defence did not exist before, because White could re- ply Ha7, but now Black’s king is one square closer, so 3 Ha7 may be met by З...ФЬ8; in fact this line also wins, but the text is simpler) 3 JLd6 i’dS 4 Неб! (this an awkward zug- zwang position for Black; note that if the rook moves to any other square on the e-file, then Black draws by 4...Eg6) Eh8 (4...Фс8 5 Eel *d8 6 JLc7+ Фс8 7 Hal wins, while 4...Hg7 5 JLe5 Eg8 6 JLf6+ transposes) 5 JLe5 Hf8 (5...Eg8 6 JLf6+ trans- poses) 6 Ag7 Hg8 7 JLf6+ Фс8 8 Hel Ef8 (8...ФЬ8 9 Ле5+ Фс8 10 Hal) 9 JLg7 Hg8 (9...Hd8 10 Hal) 10 Hal wins. 2) 2..ЛЬ8 3 JLd6 Ф68 4 Ha7 wins easily, because Black’s rook is too far away from Black’s king, cut- ting out the defence ...Фе8. 3) 2..JZd3 3 Ha7 (the winning line differs from that in diagram 275; the reason is that after 3 Hc7+ ФЬ8 White lacks the equivalent of Ea7) ПЬЗ (З...ФЬ8 4 Hal НсЗ 5 Hhl) 4 Ec7+ ФЬ8 (4..^d8 5 Hf7) 5 Hh7 Фа8 6 Hh4 (on the other hand, this line wouldn’t have worked with everything one square to the right) and there is no defence to the threat of 7 Па4+ ФЬ8 8 i.d6+ Фс8 9 Ea8+. 4) 2..JZdl 3 Ea7 (here the win- ning line is very similar to that in dia- gram 275) Ebl (З...ФЬ8 4 Ha2 Ecl 5 Eh2) 4 ЛаЗ ПЬЗ (or 4...ФЬ8 5 Eh7 transposing into the main line) 5 JLd6 Ec3+ 6 JLc5! Eb3 7 Hc7+ ФЬ8 8 Hh7 Фа8 9 Hh4 Hb7 10 JLb6 and there is no defence. 5) 2..JZd2 3 Hh7 (waiting) Hd8 (3...Hdl 4 Ea7 is line 4, while 3...Ed3 4 Ha7 is line 3) 4 JLe7 Eg8 (4...Ee8 5 JLd6 followed by Ea7) 5 Hhl ФЬ8 6 JLd6+ Фс8 7 Hal and wins. It is worth noting that the zug- zwang position arising in line 1 is not reciprocal zugzwang, in that White to play can win by losing a tempo. The method for doing this is not
Rook and Bishop v Rook 181 straightforward, and readers should refer to line 3 of diagram 312 for de- tails. This example demonstrates that White has problems if there is inade- quate space for his rook to the left of Black’s king. So it should not be a surprise to discover that if Philidor’s position is shifted one more file to the left (W*b6,Edl,Ab5 v ВФЬ8, Bc7), then it is a draw whoever moves first. As this is a very complex position, we discuss it as diagram 294 in section 7.3 on marginal posi- tions. A further shift to the left re- stores White’s win: von der Lasa, 1843 (277): Cheron incorrectly gave this position as a win with either player to move, but Black to play draws by l...Ba7+! 2 ФЬб ФЬ8! (СЬёгоп gave only 2...Bb7+?, which does indeed lose after 3 Феб! Bh7 4 JLc7! Bh6+ 5 Ad6! Bh7 6 Eel followed by 7 Ee8+ and 8 JLc5+) 3 Ehl Ec7! (not 3...Bb7+? 4 Феб! Bg7 5 Bh8+ win- ning), and now we reach a critical position. To understand how Black draws, we suppose that White plays his rook to a random square on the h-file, for example 4 Bh3. Because 4...Bb7+ loses as above, Black must move his rook along the c-file. Which squares are safe? Certainly not cl, because 4...Ecl? 5 JLd2! Bbl+ 6 Феб! Фа7 (what else?) 7 Ba3+! forces mate. Also not c8, since 4...Bc8? 5 JLb4 Bg8 (5...Be8 6 JLd6+ Фс8 7 Феб! wins, as does 5...Bd8 6 Eg3, putting Black in zug- zwang and winning after 6...Фс8 7 ±e7 Ee8 8 Феб! or 6...Eh8 7 JLd6+ Фс8 8 Феб! Фd8 9 ЕаЗ) 6 Eh6! (preventing ...Bg6+) Фс8 (6...Фа8 7 JLd6,6...Ee8 7 Есб Фа8 8 JLd6 and 6...Ed8 7 Есб lose immediately) 7 Феб! Фd8 (7...ФЬ8 8 i.c5 also transposes to Lolli’s win from dia- gram 276) 8 Веб! Фс8 9 JLe7 Bg2 (9...Eh8 1(^бФЬ8 И ^6+Фа8 ^b6and9...Bgl 10^5ФЬ811 Be8+ lose quickly) 10 Eh6 Bc2+ 11 Лс5! Ed2 12 Eh7 and we have transposed into diagram 276. How- ever, c4 and c2 are safe squares for Black’s rook, for example 4...Ec2 5 JLb4 Фс8! 6 Bd3 Eb2 7 Ed4 Eh2 8 Феб Bh7 followed by ...Bc7+ and Black draws, or 4...Bc4 5 JLel Фс8! 6 Ed3 Ec7 and again Black threatens annoying checks. It follows that Black must meet 4 Bh2 by 4...fic4! and 4 Eh4 by 4...Bc2!. If White plays 4 Bh8+ Ec8 5 Bh7 then Black can play either 5...Bc2 or 5...Bc4, and 4 Eh8+ Ec8 5 Bh4 may be an- swered by either 5...Bc2 or 5...Bc7, because c7 is also a safe square for Black’s rook.
182 Secrets of Pawnless Endings Now suppose that White is to play in diagram 277. The usual method of improving White’s rook position doesn’t work here, as Black has the stalemate defence 1 Ec8+ Eb8 2 Ec7 Eb7, and White has only made the winning process much more dif- ficult. The correct line runs: 1 Efl Bbl l... Eb2 and l...Bb3 are met the same way, while l...Eb8 2 JLc7 Ee8 3 i.d6 Bd8 4 Ef6 Bc8 5 ФЬб Bd8 6 Bh6 Bg8 7 Ehl and l...Ea7+ 2ФЬб Bb7+ 3 Феб! Bb2 4 JLb6 Ec2+ 5 JLc5! lose much more quickly. 2 Ef6 Eb2 Black can only temporize on the b-file. White intends to force a trans- position to Lolli’s win (diagram 276), and we already know that Black’s rook is best posted on the second rank in such Philidor-type positions, so this is the most accurate move. 2...Bb7 3 i.b6 Ba7+ (3...Eb8 4 kcT as in the last note) 4 ФЬ5! Eh7 (4...Bal 5 Феб Bcl+ 6 JLc5! Ebl 7 Bf4 also wins) 5 Феб Eh8 6 JLc7 Eg8 7 JLd6 Eh8 8 ФЬб Ed8 9 Eh6 (now Black must lift the attack on the bishop) Eg8 10 Ehl wins. 3 ДЬб Ba2+ 4 ФЬ5 ФЬ7 Or 4...Bc2 5 i.c5 ФЬ7 6 Bf7+! Фс8 7 Феб Ed2, transposing to dia- gram 276. 5 Bf7+! Фс8 5...Фа8 6 Феб Ecl+ 7 JLc5! wins as before. 6 Феб! Ec2+ 7 ±c5! Ed2 and we have reached line 5 of dia- gram 276. If we imagine moving Black’s rook in diagram 277, then he can only draw if Black is to play and he can check on a7 or the third rank on his first move (in the latter case 1...B76+ 2 JLb6 ФЬ8! draws). 278 Kling and Kuiper, 1846 (278): White to play wins by 1 JLc7, as in the previous position, so we take Black to move. Since Black has no check, he loses by the rule given above, but the win is quite complex. The analysis runs l...Ee8 (l...Eb2 2 Eh6 is diagram 277) 2 JLc7 (2 JLb6? ФЬ8! draws) Ee6+ (or else Ad6 wins) 3 JLb6! Ee8 4 Eh6 (the rook is heading for c6, where it both imprisons Black’s king and pre- vents a black rook check; then the bishop will be free to manoeuvre) Ef8 5 Ec6 Eb8 (Black sets a trap; 5...Bg8 6 JLd4 is the main line) 6 JLa7 (accuracy is vital; after the im- mediate 6 JLd4? Black can draw by 6...Eb7! followed by ...Ea7+) Ed8 7 JLd4 Eb8 (Black must act; if he does nothing, White wins by JLe5-d6,
Rook and Bishop v Rook 183 forcing ...Ed8, and then the waiting move ФЬб drives the rook away from d8, whereupon Ecl-al mates; now, however, Black threatens to draw by ...Bb7) 8 Веб (not 8 JLe5? Eb6+! with stalemate; e6 is an accu- rate choice of square, as we shall see) Bc8 (8...Ebl 9 JLb6 is diagram 277, and 8...Bb7 9 JLb6 Ea7+ 10 ФЬ5! followed by Феб wins now that White’s rook is not blocking c6) 9 JLc3 (this attractive move puts Black in zugzwang; it is worth noting that if White were to play, the quickest win would be 1 JLf6 Eb8 2 Jld4 Ec8 3 JLc3, handing the move to Black; the choice of c3 is necessary because the bishop needs to go to a5 if Black plays ...Bb8-b3 intending ...Ea3+) Eb8 (Black is trying to prevent JLe5 by White, and for this he needs to have the stalemate trick with ...Bc6+ or ...Eb6+; thanks to the position of the rook on e6, Black is forced to the inferior square b8, but if the rook had been on f6, then Black could main- tain the stalemate trick with ...Ee8; finally 9...Eg8 10 Ле5 Eg6 11 JLf6! Eg8 12 Be7 ФЬ8 13 ФЬб Фс8 14 Ec7+ ФЬ8 15 JLe5 Eg6+ 16 Ec6+! Фа8 17 JLd6 wins more easily) 10 Ee2 (just at the moment when Black cannot check on the sixth rank, White moves his rook away; the choice of square is again accurate, for example 10 Ee5 Bg8 11 ФЬб? Eg6+! 12 Фс7 Bg7+! gives Black access to g7, while after 10 Eel Ebl White loses time; however, 10 Ee4 is just as good as the text) and now: 1) 10..Jlbl 11 JLa5 is diagram 277. 2) 1О..ЛЬ7 11 JLa5 Ea7+ (or else White wins as in diagram 277) 12 ФЬб Eb7+ 13 Феб Ebl 14 JLb6 with a win which we have already seen many times. 3) 10...Ed8 (10...Eg8 is met the same way) 11 ФЬб ФЬ8 (П...ВЬ8+ 12 Фс7 Bb7+ 13 Феб wins) 12 ЛЬ4 Фс8 (12...Bg8 13 i.d6+ Фс8 14 Феб! wins) 13 Феб! Ed7 14 Ве8+! Bd8 15 Ее7 Bdl 16 Еа7 Ес1+ 17 JLc5! ВЫ 18 JLa3!, winning as in di- agram 276. We have seen typical winning po- sitions in diagrams 275-278, and now it is time to examine typical drawing positions. Obviously, we are only interested in those situations in which Black’s position is already in- ferior, and in all the following dia- grams Black’s king is trapped on the edge of the board. These positions are very important in practice, be- cause they may arise either from a poor initial position, or, more com- monly, as a result of inferior defence from a general drawing position. (279): Szen’s position is the most important for over-the-board play- ers. It has a superficial similarity to Philidor’s position, but the main dif- ference is that the kings are not op- posite each other, but separated by a knight’s move. Black’s rook is posi- tioned to prevent the threatened mate. White is unable to strengthen his position, for example 1 Bb8+ Bc8 2 Bbl Bc2 3 Фd6 Bd2+ 4 Феб Bc2! 5 Bb6 (5 Bb4 Bc6+ 6 JLd6 Ecl) Ecl (not 5...Ec5? 6 Фd6! Ec8 7 Bb7! Фе8 8 Eh7! Ec2 9 Феб! and White reaches Philidor’s position)
184 Secrets of Pawnless Endings 279 =/= Szen 280 =/= Kling and Kuiper, 1846 (version) 6 Bb4 Bc6+ (or 6...Ec2 7 Ф<16 Bd2+ 8 JLd4 Фс8! 9 Феб Hh2 10 i.c5 Bh7! followed by ...Bc7+, but this is unnecessarily risky) 7 Ad6 Bel and White is not making progress. It is worth noting that Szen’s posi- tion is only a draw if there is enough space for Black’s king on the side oc- cupied by the rooks. If the above po- sition is moved one file to the left (W^d6,Sa6,JLd5 v ВФс8,ЕЫ) then White wins whoever moves first, for example with Black to play l...Sb4 2 Hal Bb6+ 3 JLc6! Bb4 (or 3...Bb3 4 Shi ФЬ8 5 Sh8+ Фа7 6 Sa8+! ФЬб 7 Bb8+!) 4 Shi ФЬ8 5 Eh8+ Фа7 6 Фс5! Sb8 7 Bh7+ Фаб 8 Sh3 is de- cisive. Diagram 279 remains drawn if it is shifted to the right by any number of files. (280): There is a connection be- tween this drawing position and the previous one. Suppose White is to play. Then 1 Eel (1 Ba7 Фе8! 2 Be7+ Фd8! repeats, while 1 Ef7 Веб! 2 Efl Ee2 3 JLc5 Ee6+ is Szen’s draw) Eg6 2 Eal Фе8! 3 Efl Eg8! 4 Ef6 Eh8! 5 i.c5 Eg8! may appear passive, but Black can simply oscillate between g8 and h8, where- upon White cannot break down the defence. This drawing position de- pends on there being enough space for Black to pass with his rook. Therefore, moving the position one file to the right (WФd6,Ef7,JLe6 v ВФе8,ЕЬ6) turns it into a win, who- ever moves first. For example, with Black to play, White wins by 1...ВЫ (l...Bg6 2 Efl Eh6 transposes) 2 Bf2 Bh6 (2...Eh7 3 Ba2 ФТ8 4 Bg2! Bg7 5 Ef2+! Фе8 6 Bb2 also wins) 3 Ba2 Фта 4 Bg2! Bh8 5 Фd7 Bh7+ 6 Фd8 Bh8 7 Egl and mate next move. On the other hand, the posi- tion remains drawn if it is shifted to the left. (281): This is another position of great practical importance. In this case the kings are diagonally sepa- rated by two squares. Black’s king is imprisoned by White’s rook and bishop, but the dangerous check on e7, which would force the king to d8,
Rook and Bishop v Rook 185 281 =/= Kling and Kuiper, 1846 282 =/= Kling and Kuiper, 1846 is covered by Black’s rook. White may try 1 Фс15 (1 Bg7 Be2 doesn’t make a difference, while after 1 Bb7 Be2 2 Ф<15 *d8 3 i.e5 Bc2 4 Феб Ecl we reach the Szen draw) Фd8 (White was threatening to win by 2 JLe5! Efl 3 Феб! with Philidor’s position) 2 JLe5 (2 Лс5 Фе8 and 2 Ea7 Ecl are no better) Ecl (but not 2...Фс8? - see diagram 295) 3 Феб Фс8 and the original situation has been restored. The diagram position remains drawn if it is shifted to the left, but the play is slightly different. (282): After 1 Ba7 Ed2 2 Фс5 White again threatens to win by 3 Ad5 followed by Фd6, with Phili- dor’s position. If Black plays 2...Фс8 (by analogy with the previous dia- gram), then after 3 JLd5 he cannot continue with 3...Bb2 since Szen’s position is lost if it is shifted to the left. Black can still draw by 3...Bh2, but it is safer to avoid complications by deviating earlier with 2...Bh2 3 JLd5 Bh6, and White cannot advance his king to the sixth rank. Moving diagram 281 one square to the right (with the WE on h7) pre- serves the draw, but moving it two squares to the right is more complex; we shall consider such situations in the following section. We end with a simple position which we have not mentioned hith- erto. This position is worth knowing because it frequently arises in the final stages of the winning process. 283 +/- Charon 1952
186 Secrets of Pawnless Endings (283): Pinning the bishop from behind doesn’t work in this situation. Black to play cannot improve his po- sition, so we suppose that White is to move. He wins easily by 1 Bd2 (put- ting Black in zugzwang) Bb4 (or l...Bb3 2 Se2 and Black cannot re- ply ...Bd3) 2 Bc2+ ФЬ8 (2...*d8 3 Be2!) 3 Eh2 and Black cannot play ...Hc4. 7.3: Marginal positions In this section we deal with more complex situations. The two posi- tions of greatest practical importance are Zytogorsky’s win and Lolli’s draw (not to be confused with Lolli’s win from diagram 276). Zytogor- sky’s win is extremely difficult, and it is virtually impossible to under- stand it in isolation, so we must first develop some general theory. Readers will have to be patient while we work through several preliminary posi- tions, but this is the only way to un- derstand the principles behind the analysis (as opposed to just learning a string of moves). Many players, myself included, were astounded to discover that there are winning positions with B+JL v E which require more than 50 moves, and it turns out that Zytogorsky’s po- sition lies at the heart of these very long wins. In order to win Zyto- gorsky’s position (which is itself re- ciprocal zugzwang), it is necessary to know a second position of recipro- cal zugzwang; this once again under- lines the remark that positions of reciprocal zugzwang seem to have a fundamental importance far beyond their small numbers. We start with a relatively simple situation. 284 +/- (284): This is a useful position to know, and demonstrates how dan- gerous the comer region can be for Black’s king. We take Black to play: 1) 1.ЛЬ6 2 Ehl Ea6 (2...Ee6 3 i.d5 Be7 4 Eh8 Фаб 5 Ea8+ Ea7 6 Be8 Bc7+ 7 JLc6! Bf7 8 Eel Фа7 9 Bal+ ФЬ8 10 Ea8+! Фс7 11 Ea7+! wins) 3 Eh8! Ea5+ 4 Феб! Ea4 (or 4...Eg5 5 Bh7+ Фаб 6 JLd5! and now 6...Фа5 7 Фс5 Bg6 or 6...Bg6+ 7 Фс5! Фа5, with Philidor’s position in both cases) 5 JLd5 Eb4 6 Ehl ФЬ8 (6...Bb7 7 Фс5 Bc7+ 8 Лсб! ФЬ8 9 Фd6! Bg7 10 Bh8+! Фа7 11 Фс5! Фаб 12 Ehl wins) 7 Фd6 ВЬ6+ (7...Фа7 8 Фс5 ВЬ2 9 Ва1+ ФЬ8 10 Фd6 wins as in the previous bracket) 8 JLc6! Фа7 9 Фс5! is just a reflection of the note to Black’s 6th move. 2) l..JZa6 2 Eb7+! Фа8 (this is harder to win than it might appear at
Rook and Bishop v Rook 187 first sight) 3 Eb3+! (as we have noted many times, the f8 - or here a3 - square is the best for Black’s rook when there is a danger of Eb8-a8, so White makes sure he controls a3) Фа7 4 JLd5! and now: 2a) 4..JIg6 5 Bb7+ Фаб 6 Eb8 Фа5 is Philidor’s position. 2b) 4..Ла5+ 5 Фбб Еаб+ 6 Лсб Eb6 (if Black could play 6...ЕаЗ, then he would draw, but after 6...Ea2 7 Фс7 Фаб 8 Eb8! the rook is too far away to be defended by the king) 7 Ea3+! Ea6 8 Eh3 Eb6 (likewise 8...ЕаЗ would draw, if the white rook were not on the third rank) 9 Фс5 with the same win as in line 1. 2c) 4,.ЛЬб 5 Eh3 Ebl 6 Ea3+ ФЬ8 7 Фбб Фс8 8 Eh3 ФЬ8 9 Eh8+ and wins. 3) l...Eh5+ 2 JLd5 Eh6 3 Eb7+ Фаб 4 Eb8 Фа5 5 ЕЬЗ is Philidor’s win. 4) 1,.Леб 2 i.c6 Ee5+ 3 JLd5! Ee74Ehl (zugzwang)Bc7+ 5 Лев! ФЬ8 6 Фd6! winning as in line 1. However, it is interesting to note that moving White’s rook from bl to b4 turns diagram 284 into a draw: (285): Black was to play in the game, which continued 1...Фа7 (I am not keen on this move, because defending with the king near the comer is quite tricky; the simple 1...Фа5 was sounder) 2 Eb4 (freeing the king; now White threatens to win by 3 Фс5! Eh5+ 4 JLd5! Eh6 5 Eb7+ Фаб 6 Eb8, with Philidor’s position) Eh5+ (this does draw, but 2...Eh3 is safer, preparing to meet 3 Фс5 or 3 Феб by З...ЕсЗ+) 3 Феб Eh6+! 4 Фс5 (4 Фс7 may be met by 285 =/= DonCevic - Brito Alicante Open 1989 4...Фаб, but now we have the previ- ous diagram with the rook shifted to b4) Eb6! (other moves lose as be- fore) 5 Ed4 (there is nothing better; the problem is that the bishop ob- structs the rook) and now: 1) 5...Eb3? (the move played loses quickly) 6 Ea4+ ФЬ8 7 Фбб Eb6+ 8 Лсб Ea6 9 Ехав 1-0. 2) 5..Да6? 6 Ed8! Ea5+ 7 Феб! Eh5 8 Eg8 Eh3 9 JLd5! (threatening 10 Eg7+ ФЬ8 11 ФЬб) Eh2 10 i.g2 Eh5 (10...Eh6+ 11 Фс5!) 11 Eg7+ Фаб 12 JLd5 and Philidor’s position is inevitable. 3) 5.. Леб! (gaining time by tying the rook down) 6 Лсб ФЬ8! (not 6...Ee5+? 7 JLd5! Eg5 8 Eb4 Eg6 9 Eb7+ Фаб 10 Eb8 with Philidor again) 7 ФЬб Фс8! reaches the draw of diagram 280. It is clear from this analysis that diagram 284 remains a win if White’s rook is shifted to b2 or b3, because in this case there is no obstruction by the bishop.
188 Secrets of Pawnless Endings (286): It is certainly not obvious that this is reciprocal zugzwang. Suppose firstly that Black is to play. The lines are: 1) 1...Фа8 2 Ehl Bb2+ 3 Фаб ФЬ8 4 Ecl! wins. 2) l...Bc3 2 Ehl wins. 3) l...Bc7 2 Фаб+! Фа8 3 JLd5+! is decisive. 4) l..JZf2 (l...Eg2 2 Ecl is im- mediately decisive) 2 Ecl Ef8 3 Ec7 Eh8 4 Ee7 (zugzwang) Ef8 (4...Ed8 5 Bb7+ Фа8 6 Ea7+ ФЬ8 7 JLd7 and 8 JLc6) 5 JLd7 (zugzwang again; 6 JLc6 is no threat because of 6...Фс8! 7 Ea7 i’dS!, but the rook must move to an inferior square) Eh8 6 JLc6, followed by Ea7. 5) l..JZh2 2 Ecl Eh8 3 Bfl (keeping the rook away from the best square f8) Ed8 4 JLd7 Eh8 5 JLc6, followed by Eal. This leaves the two most resilient defences, l...Bd2 and l...Be2, which have the merit of preventing Bel. 6) l...Ed2 2 Фсб+! Фа7 (after 2...Фа8 White can transpose to the main line by 3 Eal+, but in fact 3 JLf5 wins much more quickly after З...Фа7 4 JLe4 Bh2 5 Eal+ ФЬ8 6 *d6 Eh6+ 7 *d7! Ea6 8 ВЫ+! Фа79ВЬ7+!Фа8 10Фе8ог 3...Bd4 4 JLd7 Ea4 5 Bb3 Ea6+ 6 Фс7! Ea7+ 7 Фс8 Bal 8 JLc6+ Фа7 9 Фс7, fol- lowed by Bb8) 3 Bal+ ФЬ8 4 JLd5 (threatening Фч16) Eh2 (4...Bf2 5 Фd7 is instant mate) 5 ВЫ+ Фа7 (5...Фс8 6 Фd6) 6 JLe4 (the key square for the bishop in several lines; by covering c2, g6 and h7 Black’s checks are nullified) Eh6+ (6...Eh4 7 Eal+ ФЬ8 8 Ea4! Bh5 9 Фd6 Eh6+ 10 Фd7! Баб 11 Eb4+! wins as before) 7 Фс5! transposes to dia- gram 284. 7) 1..Ле2 2 Фс6+! Фа7 3 Eal+ ФЬ8 4 JLd5 Ee7 (4...Eh2 transposes to line 6) 5 Ehl transposes to the analysis of diagram 284 (after 6 Ehl). So Black to play loses because his rook cannot stay on the c-file for tac- tical reasons, and if the rook moves away White wins by playing either Bel or Фс6+. White to play cannot maintain his set-up, for example 1 Bb4 (1 JLf5 Ec4! 2 JLe6 Ec2! and 1 JLd7 Ec7 cause no problems, while 1 Bb3 and 1 Bb5 are met by l...Bcl!) Bel! 2 Eb2 Ehl (2...Eal also draws, an op- tion which wasn’t available on the second rank because the bishop con- trolled a2) and from hl the rook has checking possibilities on both the h- file and the first rank, for example 3 Фс6+ (3 Bc2 ВЫ+!) Фа7! 4 Ba2+ (4 i.d5 Bcl+!) ФЬ8 5 JLd5 Bh6+!. The next position provides the foundation for Zytogorsky’s win.
Rook and Bishop v Rook 189 287 +/= Original (287): If we fix the white pieces and Black’s king, where must the black rook stand in order for the po- sition to be a draw with White to move? It turns out that only the six marked squares suffice to hold the game, but the reasons for this are not obvious. We consider several black rook positions, some in subsequent diagrams. BEfl: In common with many other squares, this allows White to win by 1 JLd5, for example l...Ecl+ (l...Ef6+ 2 Фс7 Фа7 3 Ee8 Фаб 4 JLc6! Ef7+ 5 JLd7! Фа7 6 Ee5 Ef6 7 JLe6 and 1...ФЬ8 2 Be8+ Фа7 3 Фс7 Фаб 4 JLc4+! lose more quickly) 2 Фd6-l-! ФЬ8 3 Eb7+ Фс8 4 Ea7 Фd8 (4...Ebl 5 Eh7) reaching Philidor’s position. Clearly, the key point in the above analysis is the apparently random tactical point that the rook on fl is vulnerable to a bishop fork on c4. However, it turns out that White can often win by JLd5 even when Black’s rook is on a better square. BEal: After 1 JLd5 ФЬ8 2 Ee8+ Фа7 3 Фс7 Фаб, the rook falls to 4 Ea8+. ВЕЫ: This time 1 JLd5 ФЬ8 2 Фd6 (threatening 3 Be8+, followed by Ea8+ and Bb8+) Bb5 (2...Ecl transposes to the Bflfl analysis) 3 Eh7 (waiting) Bb4 (3...Eb6+ 4 JLc6! Eb4 5 Eh8+ Фа7 6 Фс5! wins) 4 Ehl (heading for al) Bb6+ (4...Фа7 5 Фс5 Eb2 6 Eal+ ФЬ8 7 Фd6 Фс8 8 Ehl wins) 5 JLc6! Фа7 6 Фс5! Eb2 7 Eal+! ФЬ8 8 Фd6! Фс8 9 Ehl ФЬ8 10 Eh8+ Фа7 11 Ea8+! and 12 Eb8+ wins. BEcl: 1 Фd6! ФЬ8 (l...Ec2 2 JLd5+ transposes) 2 JLd5! and now Black has nothing better than 2...Ec2, when White wins as in the Bflfl analysis. The conclusion is that with the black rook in the left-hand half of the board, Black cannot avoid falling into Philidor’s position. The only ex- ceptions are when Black delivers check from a6 (in this case 1 ФЬ5 Ea7 2 Ee8+ ФЬ7 defends), and when the rook is on b7, exploiting the stalemate possibility. On the kingside, the squares f8, h8, f6, g6, h6, e5, g5, h5, e3, f3 and g3 may be eliminated directly be- cause of 1 ФЬб, for example with Bflra. 1 ФЬб Eb8+ 2 Фаб Ef8 3 Ea7+ ФЬ8 4 Eb7+! Фа8 5 JLd5 is decisive. This leaves ten squares to con- sider, namely el, gl, hl, e2, f2, g2, h2, e4, f4 and h4. Of these squares, four lead to draws, but the others lose. The following diagram disposes of the three squares on the fourth rank.
190 Secrets of Pawnless Endings 288 +/= Original 289 Original (288): White to play wins by 1 ФЬб Bb4+ 2 Фс5! Ef4 (2...ВЬ2 3 JLd5+ ФЬ8 4 Ф<16 transposes to the BEbl analysis above) 3 JLd5+ ФЬ8 4 ФЬб Фс8 (4...ВЪ4+ 5 Феб ВЬ2 6 Фдб leads to the previous bracket) 5 Феб! Bf6+ (5...Фд8 6 Фдб! trans- poses to the main line) 6 JLe6+! Фд8 7 Фдб! Bf2 (the second rank is rela- tively the best for the defender in Philidor-type positions) 8 Bb7 Bd2+ 9 JLd5! Ec2 and White wins as in di- agram 275. Black to play draws by l...Eel or l...Ee2, as given in diagram 287. No other move leads to a draw. This leaves the puzzle as to why el, e2, hl and h2 draw while gl, f2 and g2 lose (we already know that Bflfl loses because of the ‘unlucky’ JLc4+). First of all we deal with the gl-square. (289): White to play wins by 1 JLf5 (by covering bl, White threat- ens 2 ФЬб, and at the same time g6 is controlled, nullifying Black’s check on the sixth rank) Eg3 (l...Edl 2 JLe4 ФЬ8 3 Ee8+ Фа7 4 Фс5 Ecl+ 5 ФЬ5! Ec8 6 Ee7+! ФЬ8 7 Eb7+! Фа8 8 Фа4 wins) 2 Ле4 ФЬ8 (or 2...Ec3+ 3 Фd6+! ФЬ8 4 Bb7+ Фс8 5 Bbl wins) 3 Bb7+ Фс8 (З...Фа8 4 Bh7 ФЬ8 5 Фd6, threatening 6 Bb7+ Фс8 7 Bbl, and if 5...Eg8 then 6 Eb7+! Фс8 7 Ea7 Ed8+ 8 Феб ФЬ8 9 Bb7+ Фа8 10 Bb4 and White wins) 4 JLf5+ Фd8 5 Фd6! Фе8 6 Леб Фf8 7 Ef7+! Фе8 8 Ef6 Ed3+ 9 JLd5! Bdl 10 Bf2 Ed4 11 Ba2 and wins. Referring to diagram 287, we can see that Black to play draws by l...Eel or 1...Bhl. In fact, these are the only drawing moves. The last two remaining losing squares, f2 and g2, are so compli- cated that they deserve separate dia- grams. (290): As usual, Black to play can draw by reference to diagram 287, which demonstrates that l...Ee2 and l...Eh2 draw, so now suppose that White is to move. The winning line runs 1 JLd5 ФЬ8 (for l...Ec2+ 2
Rook and Bishop v Rook 191 Original Ф(16+!, see diagram 287) 2 Sb7+! Фа8 (2...Фс8 3 JLe6+! *d8 4 *d6! Ed2+ 5 JLd5! is Philidor’s position) 3 Bbl Ec2+ (3...Hf6+ is met by 4 Фс7) 4 ФЬ6+! ФЬ8 5 Ae6! and we have reached the reciprocal zug- zwang of diagram 286 with Black to move. 291 Original (291): Black to play draws by l...Ee2 or l...Sh2. White to play wins only with the very difficult move 1 JLf5! (there are several ways of go- ing round in circles, but if White wants to win he has to find this move; 1 JLd5 is less effective because after l...Eg6+ White has to backtrack) and now Black has various ways of meeting the threat of 2 JLe4 Eb2 3 Фd6+ ФЬ8 4 Ee8+: 1) 1...ФЬ8 2 JLe4 Eb2 (2...Hg3 3 Eb7+ is diagram 289) 3 Фч16 Ed2+ (3...Bb4 4 i.c6 Ed4+ 5 JLd5! Eb4 6 Eel Eb6+ 7 Лсб! Фа7 8 Фс5! is a familiar win) 4 JLd5 Ec2 5 Eb7+ Фс8 6 Ea7 is Philidor’s win. 2) l..JZb2 2 Ле4 ФЬ8 transposes into line 1. 3) l..J2g3 transposes to diagram 289. 4) l..JZf2 (the main line) 2 Ee5! Ef3 (or 2...Eb2 3 Ae4 ФЬ8 4 Пе7 ЕЬЗ 5 JLd5 and now both 5...Eb2 6 Фd6 Ec2 7 Eb7+ and 5...Bc3+ 6 Фd6! Ec2 7 Hb7+ lead to line 1) 3 Ae6! (another tough move, threaten- ing 4 Фс7 Ec3+ 5 ФЬб! Ec2 6 JLd7) and now: 4a) З..ЛП 4 Ba5+ ФЬ8 5 JLd5! Egl (5...Ebl 6 Фd6 Фс8 7 Ea4 Eb6+ 8 i.c6! Ebl 9 Eh4 ФЬ8 10 Eh8+ wins) 6 Eb5+! Фа7 7 Eb7+! Фа8 (7...Фаб 8 Лс4+ Фа5 9 Фс5 Eg5+ 10 JLd5! is Philidor’s win) 8 Eh7 Eg6+ (8...ФЬ8 is line 6 of dia- gram 286) 9 Фс7+! Фа7 10 Лс4! is the reciprocal zugzwang of diagram 286 again. 4b) З...Фа7 (З...ФЬ8 4 Eb5+ transposes) 4 Ea5+ (White plays a series of checks which allow him to transfer his rook to the first rank with gain of tempo) ФЬ8 5 Eb5+ Фа7 (5...Фа8 6 ФЬб wins after 6...ФЬ8
192 Secrets of Pawn less Endings 7 Eh5 Ef8 8 JLd7 Eg8 9 i.c6 or 6...Efl 7 i.c4 Eel 8 Eh5 Ee8 9 Ea5+ ФЬ8 10 JLd5) 6 Eb7+ Фа8 (6...Фаб 7 Лс4+ Фа5 8 Фс5! Ef5+ 9 JLd5! transposes to an advanced stage of Philidor’s win) 7 Bbl Фа7 8 Eal+ ФЬ8 9 JLd5 Eg3 10 JLe4 Eg7 (10...Eg4 11 ЕЫ+! Фа7 12 Bb4 Bg7 13 Фс5 Eg5+ 14 JLd5 Eg6 15 Eb7+ leads to Philidor’s position) 11 Ehl Фа7 (H...Ec7+ 12 *d6! is line 1 of diagram 284) 12 Ebl Ee7 (12...Eg4 13 Eb4 transposes to 10...Eg4 just above) 13 JLd5 Eg7 14 Фс5 Eg6 15 Eb7+ leading yet again to Philidor’s position. 4c) 3..JSf2 4 Ea5+ (4 JLc4 wins five moves more quickly, but we pre- fer a simple longer win to a shorter but more complex line) ФЬ8 5 JLd5 Eh2 (5...Efl 6 Фd6 Ef6+ 7 Фd7! Баб 8 Eb5+! Фа7 9 Eb7+! Фа8 10 Фе8 wins) 6 Eb5+ Фа7 7 Eb7+ Фа8 (7...Фаб 8 Лс4+ Фа5 9 Фс5! Eh5+ 10 JLd5! leads to Philidor’s win) 8 Ebl is just a reflection of line 4a. 292 =/- Zytogorsky, 1843 (292): Incredibly, this is aposition of reciprocal zugzwang in which White to play draws, but Black to play loses in 45 moves. I do not know if Zytogorsky claimed that the posi- tion is drawn with White to play, but later authors appear not to have ex- plicitly stated this. Suppose firstly that Black is to play: 1 ... Ea3 The best defence. Alternatives: 1) l..JIg3 2 JLe6! and now: la) 2.dfg6 3 Фсб+! Фа7 (З...Фа8 4 Фс7) 4 ВЬ7+ Фаб (4...Фа8 5 Ее7! wins by diagram 287 because Black cannot reach one of the drawing squares) 5 Ee7! and now the two al- ternatives, 5...Bg5 6 JLd5 Фа5 7 Фс5 and 5...Фа5 6 Фс5! Bg5+ 7 JLd5!, both lead to Philidor’s win. lb) 2..JZgl (2...Eg2 is met the same way) 3 Фс6+ Фа7 (З...Фа8 4 Фс7 Ecl+ 5 Лс4!) 4 ЕЬ7+ Фа8 (4...Фаб 5 JLc4+! Фа5 6 Фс5! is Philidor again) 5 Eh7 (not 5 Ee7?, which may be met by 5...Eel or 5...Ehl - see diagram 287) and al- though the win is still a long way off, it follows the same patterns we have seen before, for example 5.. JZg6 (the threat was 6 JLf5 and 7 JLe4) 6 Ee7 again wins by diagram 287, 5..JZg2 6 JLf5 Ef2 7 Bh8+ Фа7 8 JLe4! transposes to fine 4b of diagram 291 and 5...ФЬ8 6 JLf5 Eg3 7 JLe4 Ec3+ 8 Фd6! is essentially diagram 284. 2) l..JXf3 2 JLe6! leads to the same lines as variation 1; Black still cannot reach a diagram 287 drawing square in one move from f6. 3) l..JZe3 (this loses quickly be- cause there is no check on e6) 2 JLd7
Rook and bishop v Rook 193 Bc3 3 Hh4 Bb3+ 4 JLb5! Bc3 5 i.c4 Фс8 6 Bd4 leads to mate. 4) 1...Фа8 2 JLd7 ФЬ8 3 Bh4 wins as in line 3. 5) 1..Лс12ЕЬ4 wins. 2 JLd7! The threat is 3 Eh4 Eb3+ 4 JLb5! Bc3 5 JLc4, winning because there is no check on b3. Therefore, Black has to move his rook off the inferior third rank. 2 ... Ea2 Or 2...Bal 3 Фсб+! Фа7 (З...Фа8 4 Фс7 Ва7+ 5 Фс8 ВаЗ 6 JLe6 ВсЗ+ 7 Лс4! Фа7 8 ЕЬ7+ Фа8 9 Ес7 Ed3 10 JLb5 wins) 4 Фс7! Фаб 5 ЕЬ6+! Фа5 6 ВЬ5+! Фаб 7 Ес5 Ва2 (7...Фа7 8 ±f5 Ваб 9 JLd3 ВаЗ 10 Вс4 Фа8 11 ВЬ4 ВсЗ+ 12 Лс4! leads into the previous bracket) 8 JLg4 ВаЗ 9 Ле2+ Фа7 10 Ec4 Фа8 11 Bb4 and wins as before. 3 Bh4 White is no longer able to win by 3 Фс6+?, because after З...Фа7! 4 Фс7 Фаб! 5 Bb6+ Фа5! 6 ВЬ5+ Фа4!, Black’s rook is one square closer to his king and therefore 7 Bb2+ may be met by 7...ФаЗ!. 3 ... Bb2+ 4 JLbS! Bc2 This position would be drawn if Black’s rook were on cl (we shall see why later), but the tactical point in the note to Black’s 2nd move pre- vented him reaching such a position. 5 ±c4 Bb2+ 5...Фс8 6 Bd4 Bb2+ 7 JLb5 wins by diagram 283. 6 Феб! Now we can see the importance of diagram 287. Black will move his rook along the second rank, and White will reply with 7 Eh8+ Фа7 8 Bh7+ ФЬ8 9 Bb7+ Фа8 10 Bb4, when we have diagram 287. Black will only be able to draw if he can oc- cupy gl, hl, g4 or h4 with his rook. White wins by this method against 6...Ec2 and 6...Bf2, and can also use it against 6...Ed2 (although there is a quicker win in this case), because in these cases Black cannot reach one of the drawing squares. White’s ac- curate third move has excluded the squares on the h-file, so Black can only head for gl or g4. This suggests that 6...Bg2 is the best defence, but against this White can change his plan. Now we can see why the position would be a draw with Black’s rook on the first rank; if the rook were on bl, then he could play 6...Bel 7 Bh8+ Фа7! 8 Bh7+ ФЬ8! 9 Bb7+ Фа8! 10 Bb4 Bhl (or ...Bgl). Al- though this is interesting, it is irrele- vant for diagram 292 because Black cannot reach this position with his rook on bl. After 6 Феб!, we analyse a range of defences: 1) 6..JZf2 7 Bh8+ Фа7 8 Bh7+ ФЬ8 (8...Фа8 9 ФЬб Bf6+ 10 Фс7! Bf4 11 JLd5+ Фа7 12 Фсб+ Фаб 13 Фс5 wins) 9 ВЬ7+ Фа8 (9...Фс8 10 Леб+! Ф(18 11 Фd6! leads to Phil- idor’s win) 10 Eb4 and Black cannot reach one of the drawing squares of diagram 287. 2) 6..JZg2 7 JLd3 Bg7 (7...Bf2 8 Bh8+ Фа7 9 JLe4 Eb2 is line 4b of diagram 291) 8 Bh8+! Фа7 9 JLe4 and now both 9...fig4 10 JLd5 Egl
194 Secrets of pawnless Endings 11 Bh7+ ФЬ8 12 Ae4 Bcl+ 13 *d6! Bc7 14 Shi and 9...Be7 10 JLd5! Bb7 11 Ehl Bg7 12 JLe4 Bf7 13 Ebl Ef6+ 14 Фс5! lead to diagram 284. 3) 6...Фа77 Bh7+! ФЬ8 (the line 7...Фа8 8 JLd5 ФЬ8 9 *d6 Ec2 10 Bb7+ leads to Philidor’s position) 8 JLd5 Bf2 9 Bh8+ Фа7 10 JLe4 is line 4b of diagram 291. 4) 6...Фа8 7 Bh8+ Bb8 (7...Фа7 8 Eh7+! as in line 3) 8 Bh2 Ebl (8...Bc8+ 9 ФЬб! Bb8+ 10 Фаб Ec8 11 JLb5 Ef8 12 Eh6 ФЬ8 13 ФЬб! Фс8 14 Bd6! ФЬ8 15 i.c4 Bh8 16 Леб Ее8 17 Есб Ed8 18 JLf5 Ef8 19 JLd7 Фа8 20 Bc7 winning quickly) 9 Ba2+ ФЬ8 10 JLd5! Bb7 (10...Egl 11 JLg2 is line 2 of diagram 285) 11 Bh2 Bbl 12 Eh8+ Фа7 13 Bh7+ ФЬ8 14 Фd6 Bel 15 Bb7+ Фс8 16 Ba7 and again we arrive at Philidor’s position. 5) 6..ДЫ 7Bh8+! Фа7 8 Bh7+! ФЬ8 9 JLd5 Egl 10 JLe4 is line 6 of diagram 286. 6) 6...Bb7 (this is basically the same as line 5) 7 JLd5! Bb2 8 JLe4 Bb3 9 Bh7 Bc3+ 10 Фd6! and wins as in line 5. 7) 6..ЛЬ4 7 Bh8+ Фа7 8 Bh7+! ФЬ8 9 JLd5 Bb2 10 Фd6 with the fa- miliar pattern. Now suppose that White is to play in diagram 292. The main reason why Black to play loses is that he cannot keep his rook on the c-file for tactical reasons, but moving the rook off the c-file allows White to head for a winning position of the diagram 287 type. White to play cannot main- tain the c-file grip, for example 1 Леб Bel! (see diagram 286 for a more detailed discussion of this po- sition). If White moves his rook, for example by 1 Eb2, then Black has two drawing methods. First of all, he can make use of the c4-square and simply play l...Bc4. Secondly, a vi- tal element in the above analysis lay in the move 5 Лс4 (line 3 in the note to Black’s first move). When the white rook is not on the fourth rank, this possibility vanishes, so Black can also draw by 1.. .ВеЗ 2 JLd7 Bc3! 3 Eh2 Bb3+! 4 JLb5 Bc3!. There is no JLc4, so this is just Lolli’s draw (see diagram 294). We can now complete the discus- sion of diagram 287. Earlier on, we proved that the unmarked squares lead to a win for White, and we used this to prove the win in Zytogorsky’s position with Black to move. But so far we have carefully avoided dis- cussing why the squares el, e2, hl and h2 lead to draws (note that I have been careful to avoid circular reason- ing; logicians may check this for themselves). The squares el and e2 are fairly simple. Suppose, for example, that the rook is on e2 ^Фс6,Ве7,.£е6 v ВФа8,Ве2); then the bishop is pinned, and neither 1 Фс7 Фа7! nor 1 ФЬб Bb2+! 2 Фаб ФЬ8! causes se- rious problems. However, the h-file squares are more subtle: (293): White may try: 1) 1 i.d5 Bh6+! 2 Фс7+ Фа7! 3 Be8 Фаб! 4 Лсб Bh7+! 5 JLd7 Фа7! 6 Ве5 Bh6! leads to Lolli’s draw (see diagram 294). However, if Black’s
Rook and Bishop v Rook 195 293 =/= Original rook were on the f-file instead, Black would lose because of 7 Леб, forc- ing almost immediate mate. 2) 1 ±f5 Eh6+! 2 Фс7 Фа7! 3 JLd3 Ef6! is Zytogorsky’s zugzwang, but with White to move. 3) 1 Лс4ЕЬ6+! 2Фс7Фа7! and White cannot reach the zugzwang of diagram 286 because Black’s rook already occupies the first rank (here the h-file). We can see how crucial the two re- ciprocal zugzwangs are (diagrams 286 and 292). If Black’s rook started on g2, then line 3 would be a win for White because at the end White could play 3 Eh7 putting Black in zugzwang. Moreover, diagram 290 proves that with the rook on f2, White’s winning line involves arriv- ing at diagram 286 with Black to play. The best way to look at it is that the h-file squares are good for Black because in neither diagram 286 nor diagram 292 is Black’s rook on the h-file, so if Black is ever forced (be- cause of the lack of a tempo move) to move his rook off the h-file (as in line 2 above), he can choose which square to move to, and thereby put White in zugzwang. Tricky stuff! (294): This is a position of great complexity, requiring extremely pre- cise defensive play. Black to move can draw comfortably by l...Eb7+ 2 Фс5 Eh7, so we suppose that White is to play. 1 Ed8+ Ec8 2 Ed7 Ec2 Black can also draw by 2...Ecl or 2...Ec3, but it is a mistake to keep the rook on the eighth rank; this is too passive and White wins by 2...Ef8? (2...Bg8? 3 Eb7+ wins after З...Фс8 4 JLd7+! Фd8 5 Eb8+! or З...Фа8 4 Ea7+ ФЬ8 5 Лсб) 3 Лсб (threaten- ing Ea7) Фс8 4 Ed6! (zugzwang) Ef7 (4...Bg8 5 Ле4 Ef8 6 JLd3 transposes) 5 Ле4 Ef8 6 JLd3 ФЬ8 (6...Eg8 7 JLf5+ ФЬ8 8 Ef6 trans- poses to the next bracket) 7 JLf5 Фа8 (7...Eg8 8 Ef6 Фа8 9 Ле4+ ФЬ8 10 Efl Фс8 11 Edl Eh8 12 ЛЬ7+ ФЬ8
196 Secrets of Pawnless Endings 13 Sal wins) 8 JLd7 Sb8+ (8...ФЬ8 9 Веб Eh8 10 Sei Sf8 11 Sgl puts Black in zugzwang, and wins after ll...Sh8 12 ЛсбФс8 13 Sal! when Black’s rook is too far away) 9 Фаб! Eb4 (the alternatives are 9...Sb3 10 Ла4, 9...Sb2 10 Леб! and 9...ВЫ 10 JLf5!) 10 ЛЬ5 ФЬ8 11 ФЬб! Фс8 12 Есб+ ФЬ8 13 Веб followed by mate. From the practical point of view, it is worth noting that the most un- pleasant situation for Black is when White’s rook is on f7 and Black’s rook is on the first rank. In this case the winning try Лев forces abso- lutely precise defence from Black, but the question is whether White can always force this optimum posi- tion. The answer is yes. because if Black plays 2..Лс2, as in the main line, then 3 Sf7 reaches the optimum position after 3...Scl 4 Лсб or 3...Bc3 4 Ла4 Ecl! 5 Лсб. If Black plays 2..ЛсЗ then 3 Sb7+ Фс8 (or З...Фа8 4 Bf7) 4 Bf7 ФЬ8! 5 Ла4 is the same, and finally if Black plays 2..Лс1, then 3 Sh7 leads into one of the above lines after 3...Sc2 4 Sf7 or 3...Sc3 4 Sb7+. 3 Sf7 Bc3 4 Ла4 White intends to play Лсб, forc- ing a rook check, and then try to rear- range his forces by Фс5, Фd6 and Лс15, aiming for Philidor’s position. First of all, however. White forces the rook onto the unfavourable first rank. 4 ... Scl! Not 4...Sc8? 5 Лd7 Bh8 6 Лсб with a rapid win. 5 Лсб Ebl+! 6 Фс5 Sb2! Amazingly, this is the only move to draw. The alternatives are: 1) 6...Sgl? 7 Ле4! (threatening Фd6) and now: la) 7..JIg3 8 Sh7 Ee3 9 Лс15! Sg3 10 Sb7+! Фс8 11 Se7! Eg5 (И...ФЬ8 12 ФЬб wins since White can meet ...Sg6+ by Леб) 12 Фd6! Bg6+ 13 Леб+! ФЬ8 14 Феб! Egl (14...Bg2 15 Sb7+ Фа8 16 Sh7 is not significantly different) 15 Sb7+ (15 Лf5 wins slightly more quickly, but this move soon leads us back into familiar territory) Фа8 16 Sh7 and now there are three lines: lai) 16...Sg6 17 Se7 wins be- cause Black cannot reach one of the drawing squares from diagram 287. Ia2) 16..JIg2 17 Лd5 Sg6+ 18 Фс7+! Фа7 19 Лс4! is the recipro- cal zugzwang of diagram 286 with Black to move. 1аЗ) 16...ФЬ8 17 Лf5 (threaten- ing ФЬб) Sg3 18 Ле4 Sc3+ 19 Фd6! Sc7 wins by diagram 284. lb) 7..Ле1 8 Лс15! Egl 9 Bb7+ Фс8 10Ee7! ФЬ8 (10...Eg5 11 Фd6! is line la) 11 Феб Bg6+ 12 Леб! Bg2 13 Bb7+ Фа8 transposes to line lb of the note to Black’s first move in diagram 292. 1c) 7..JZdl (7..Лс1+ 8 Фd6! is the same) 8 Феб Bcl+ 9 Фd6! trans- poses to diagram 284, with only an insignificant difference in White’s rook position. Id) 7...Eal 8 Фd6 Ecl 9 Лd5 leads directly to Philidor’s position. 2) 6..Л<И? 7 Лс15 Egl (prepar- ing to meet Фd6 by ...Eg6+; other
Rook and Bishop v Rook 197 moves lead to Philidor’s win) trans- poses to line lb. 3) 6..ЛЬЗ? 7 JLd5 Eg3 trans- poses to line la. 4) 6..ЛС1+? (6...Eal? 7 *d6 is no Afferent) 7 Фч16! Egl 8 JLe4! Edl+ 9 JLd5 is Philidor’s win again. 5) 6...Фс8? 7 *d6 Edl+ 8 JLd5! ФЬ8 9 Eb7+ Фс8 10 Eb2 Ed4 11 Eh2 ФЬ8 12 Ea2 wins. It is worth mentioning that Black’s difficulties arise from the fact that the hl-square is forbidden (explain- ing why White drove the rook to cl before starting this manoeuvre). If White had not interpolated 4 JLa4, then Black’s rook would be on b3 in this position, and the move ...Eh3 (meeting JLd5 by ...Eh6) would give Black an easy defence. 7 JLdS White tries the move which won against 6...Eb3. 7 ... Ehl! Once again, the only move. The key point is that if Black had played 6...Eb3? 7 JLd5 Bh3, White could have won by 8 ФЬб because there is no check on the b-file. 8 Eb7+ Фс8! 9 Ee7 ФЬ8! Black’s rook is already on the best square, but he can’t afford to pass be- cause White threatens 10 Феб! ФЬ8 11 Eb7+ Фа8 (11...Фс8 12 Леб+ i’dS 13 i>d6 is Philidor’s win) trans- posing to line 4c of diagram 291. White wins in precisely this way if Black plays 9...Bf2?, for example. 10 Феб There is a second critical line: 10 ФЬб Ec2! (after 10...Eb2+? 11 Феб! Black has nothing better than to play ll...Bf2 or ll...Eh2, when White wins by 12 Eb7+ as in the last note) 11 JLb3 (11 JLe4 Ec7 draws) Ecl! 12 Ed7 Фс8! 13 Ed2 (other moves on the d-file are also met by ...Ebl) Ebl! (not 13...Eel? 14 Лс4! Ee8 15 Ed6 winning as in the note to Black’s second move) 14 Ed3 (we already know that this position is lost when the bishop is on b5, but here it is a draw) Eb2! 15 Феб (just at the moment when Black has no check on the c-file) and now: 1) 15..Л112? 16 ±е6+! ФЬ8 17 Eb3+ Фа7 18 Eb7+ Фа8 19 Bb4 transposes to line 1 of the note to Black’s 11th move below; as in that variation, the first rank is the right place for Black’s rook. 2) 15..JIg2? 16 i.e6+ ФЬ8 17 Eb3+ is fine lb of diagram 292, with the irrelevant difference that Black’s rook is on g2 and not gl. 3) 15...ФЬ8? 16 Bd8+ Фа7 17 Ed7+! ФЬ8 (17...Фа8 18 JLd5 ФЬ8 19 Фd6 Ec2 20 Eb7+ leads to Phil- idor’s win) 18 Eb7+ Фа8 19 Eb4! Eh2 (19...Eg2 is met the same way) 20 JLd5 Ec2+ 21 JLc4 and once again we arrive at a position in which the drawing squares gl and hl are out of Black’s reach. 4) 15..JIf2? 16 Ле6+! ФЬ8 17 Eb3+ Фа7 18 ЕаЗ+ ФЬ8 19 JLd5 Eh2 20 Bb3+ is line 6 of diagram 286, except for an insignificant dif- ference in the position of White’s rook. 5) 15..ЛЫ! 16 JLe6+ (16 JLd5 Ecl+ 17 Фd6 Ec7! 18 Ea3 Ed7+! 19 Феб Ed8! 20 Ea7 ФЬ8! draws)
198 Secrets of Pawnless endings ФЬ8! 17Sd8+*a7! 18Ed7+*b8! (18...Фа8? 19 JLd5 Bcl+ 20 *d6+! is Philidor again) 19 JLd5 Bcl+! 20 i’db Bc7! and the 17th consecutive ‘only move’ by Black finally forces the draw. 10 ... Bh6+! 11 Леб Ehl! The only move to draw. The alter- natives are: 1) ll..JIh2? 12 Bb7+! Фа8 13 Bb4! Фа7 (after 13...Bc2+ 14 Лс4 White wins by diagram 287, but in this case there is a faster method by 14 ФЬб ФЬ8 15 Ebl, reaching the reciprocal zugzwang of diagram 286 with Black to move) 14 JLd5 Bc2+ 15 Лс4 is line lb in the note to Black’s sixth move. 2) ll...Bh4? 12 Bb7+ Фа8 13 БЫ Фа7 (13...Bh7 14 JLd5 Фа7 15 Фс5 Bh6 16 Eb7+ is Philidor’s win) 14 i.d5 Bh2 (14...Bh3 fails to 15 Eal+ ФЬ8 16 ФЬб, while other moves are met by 15 Фс5, leading to Philidor’s position) transposes to line 6 of diagram 276. The reason why ...Ehl! draws is that White has the option of 12 Bb7+ Фа8 13 Eb4 Ec(something)+ 14 Лс4, and we know from diagram 287 that Black can only draw if his rook can reach gl or hl (since g4 and h4, the other drawing squares, are out of the question). Therefore the first rank is the right choice. 12 Eb7+ Фа8! 13 Bb4 Other attempts are equally un- availing: 1) 13 Eg7 Bh6 14 Ee7 and Black can draw by 14...Ehl or 14...Eh2. 2) 13ВЬ2Вс1+14ФЬбФЬ8! 15 jLf5 Bc4! (not 15...Bc3? 16 Bb4!, with Zytogorsky’s zugzwang) and Black draws, as discussed under dia- gram 286. 3) 13 JLdS Bh6+ 14 ФЬ5 (14 Фс5 Bc6+!)Bh5! 15Bd7-^b8! 16 ФЬб Bh6+! 17 Лсб Фс8! draws by diagram 280. 13 ... Bcl+ 13... Фа7 also draws. 14 Лс4 Ehl Or 14...Egl, and Black draws by diagram 287. The following position is not of any great theoretical importance, but it deserves a diagram because it often arises in practice, particularly from diagram 281 if the defence is con- ducted inaccurately. 295 +/= Original (295): Black to play draws most easily by l...Bcl, which stops the dangerous check on c7. White to play wins by a manoeuvre which, for some reason, is frequently over- looked: 1 Bc7+! Фd8 2 Фd6! (at first
Rook and Bishop v Rook 199 sight White has to move his rook, be- cause of the threat of taking on e5, but now 2...Exe5 can be met by 3 Ea7! winning the rook) and now: 1) 2..ЛП (2...Bdl+ 3 Феб! is the same) 3 Феб! Edl 4 Ec2 Фе8 5 Ec8+ is Philidor’s win. 2) 2..ЛМ 3 JLf6+! Фе8 4 Феб! Eel+ 5 JLe5! Sdl transposes into line 1. 3) 2..JZe2 3 Sc 1 is also Philidor’s win after З...Фе8 4 Феб or 3...Sd2+ 4 Феб!. Here is a practical example based on Lolli’s draw. 296 =/= Wahls - Ziiger Munich 1989 (296): Although such a ‘third rank’ defence is less reliable than the defensive schemes outlined in sec- tion 7.1, it is nevertheless usually enough for a draw: 1 JLc3 Sh6 (a perfectly reasonable defence, al- though other moves were also possi- ble, for example l...Sc5, since there is no threat) 2 Фс2 Sh2+ 3 JLd2 Sh3 (but this move is risky, because now White can force Lolli’s position; 3...Eh4 was safer, with the draw of diagram 282) 4 Eb4+ ФаЗ! 5 Ef4 Фа2! (forced, since 5...fih2? loses to 6 Eg4 as in diagram 283) 6 Ea4+ Ea3! 7 Eb4 Eg3 8 Bb6 Ef3 9 JLel Eh3! 10 i.c3 Eh2+! 11 ФdЗ Eg2! 12 Фс4 (as we know from the note to move 7 in diagram 294, 12 JLd4 is the best practical chance, but this move also demands an accurate re- ply) Eg8! (Ziiger finds the best move every time) 13 Ea6+ (it is hard for White to maintain the pressure after his previous move, for example 13 i.d4 Ec8+!) ФЫ 14 Eal+ (after 14 ФЬЗ Eb8+! 15 JLb4 Lolli’s position is repeated, for example 15...Eh8 16 Ee6 Ec8! 17 Ed6 and so on) Фс2 15 Ea2+ Фdl (Black’s king escapes from the comer) 16 Ae5 Фе1 (the main danger is over) 17 ФdЗ ФП 18 JLd4 Ef8 (the safest line; Black reaches diagram 281) 19 JLe3 Ed8+ 20 Фе4 Фе 121 JLd4 Фf 1 ? (a serious error, which should have cost half a point; 21...Ef8 was correct, as given in diagram 281) 22 Eh2? (the chance vanishes, never to come again; 22 Ef2+! Фе1 23 ФеЗ! would have won, just as in diagram 295) Ee8+ (Black recovers from his momentary lapse and defends accurately until the end of the game) 23 Ф(13 Ef8! (setting up diagram 281 again) 24 JLe3 Фе1 (Black could also have waited by 24...Ef7) 25 Ag5 Ee8 26 i.d2+ ФП! 27 JLe3 Ed8+ 28 Фе4 (28 JLd4 Ef8!) Фе1! 29 JLf2+ Фdl 30 JLd4 Фе1 31 ФfЗ (setting a small trap; if 31 ...Exd4, then 32 ФеЗ! wins) Ef8+ 32 ФеЗ Ee8+ 33 ФdЗ Ef8!
200 Secrets of Pawn less Endings (this is the Szen draw of diagram 279; White is not making progress, and Wahls soon decides to call it a day) 34 Ee2+ *f 1! 35 Ef2+ Exf2! 36 JLxf2 *xf2 Ч2-Ч2. We will deal with one other gen- eral class of positions before we move on to the practical examples. This is the situation in which Black’s king is on a7 and White has a light- squared bishop. Such positions often arise in practice and they are very complicated, which is enough to justify paying special attention to them. In some of the positions above we encountered the attacking formation in which White has Фс5,ЕЬ4,Ле4 against a black king on a7. Although we have already seen similar posi- tions in diagrams 284 and 285, it is worth looking at them more system- atically. 297 +/= Original (297): Where must Black’s rook stand in order for him to draw with White to move? The answer is that he draws only if his rook starts on one of the seven marked squares. We will examine various possibili- ties: BEc7: White wins by 1 JLc6! Ee7 2 Ea4+ ФЬ8 3 l4>d6! (if the rook were on f7, then White would win by Ea8+ and Ea7+) Ea7 4 Eb4+ Фс8 5 Ef4. If the rook is on c8, then White wins the same way. If Black’s rook is on the first rank, then White wins by 1 Ea4+ and 2 ФЬб (or 2 Ea8+). BEd7: White wins by 1 JLd5 (zugzwang) Ee7 2 Eh4 (threatening 3 Eh8) Ec7+ (2...ФЬ8 3 *d6 Eg7 4 Eh8+ Фа7 5 Фс5 Фаб 6 Ehl Фа7 7 Eal+ wins the rook by Ea8+ and Ea7+) 3 i.c6! ФЬ8 4 Фd6! Eg7 5 Eh8+ Фа7 6 Фс5! wins just as after 2...ФЬ8. BEe7: 1 JLd5 Ed7 2 Eb3 hands the move to Black, and then White wins as in the BEd7 analysis. With the rook on f7, g7 or h7. White wins by 1 Ea4+, followed by Ea8+ and Ea7+. BEa6: White wins by 1 Eb7+! Фа8 2 Eb3+! Фа7 3 JLd5! as in line 2 of diagram 284. BEb6: Black draws by diagram 285. BEe6 (or h6): After 1 Eb7+ Фаб 2 JLd5, Black cannot avoid Philidor’s position (with the rook on f6,1 Eb7+ Фаб 2 Eh7 wins at once). BEa5: Black draws by 1 Феб Ba6+ 2 Фс7 Eb6, but with the rook on e5, g5 or h5 White wins by 1 JLd5 which, as usual, leads to Philidor’s position.
Rook and Bishop v Rook 201 With Black’s rook on f4, g4 or h4 White wins by 1 Па4+ and 2 ФЬб, while on e2, e3 and g3 White wins by 1 Па4+ and 2 i’d6. BHh3: White wins by 1 Па4+! ФЬ8 2 *d6 Eh6+ 3 *d7! Паб 4 ПЬ4+! Фа7 5 ПЬ7+! Фа8 6 Фе8. ВП<12 (or £2): White wins by 1 ПЬ7+ Фаб 2 Пс7 Edl 3 JLd5, fol- lowed by Лс4+. BHh2: 1 ПЬ7+ Фаб 2 Hg7 Hh5+ (2...ПЬЗ 3 JLd5) 3 JLd5! Hf5 4 Hg8 mates. BHdl: White wins by 1 Па4+! ФЬ8 2 Феб Hfl (2...Hd2 3 ПЬ4+ Фс8 4 JLd5! Фd8 5 Фd6 is Philidor’s win) 3 JLd5! Hgl 4 ПЬ4+! Фа7 5 ПЬ7+ as in line la of diagram 292. With Black’s rook on el or gl, White wins by 1 Па4+ and 2 ФЬб. This leaves the squares al, a2, a3, cl, c3 and fl. BHa2: White wins by 1 ПЬ7+! Фаб 2 ПЬ8 Па5+ 3 Феб Фа7 4 ПЬ7+ Фа8 5 Пе7 with a quick mate. However, the same method doesn’t work when Black’s rook starts on al or a3, because after 1 ПЬ7+ Фаб! 2 ПЬ8 Black has a check on the c-file. Nor do the other winning methods work, for example White’s Па4+ is prevented, and other moves fail ei- ther to a check on the c-file, or to the manoeuvre 1...Па5+ 2 Феб Паб+ 3 Фс7 ПЬб. The draws with the ВП on с 1 or сЗ are clear enough, because there is no good reply to the check, but the Bfifl draw is perhaps less obvious. The point is that Black has checks on cl and f6, so that 1 ПЬ7+ Фаб! 2 ПЬ7 Пс1+! is a draw, as is 1 Па4+ ФЬ8 2 Фd6 Hf6+! 3 Фd7 Hf7+!. Finally, 1 Па4+ ФЬ8 2 ФЬб Фс8! 3 Hd4 (3 JLc6 Фd8 4 Пе4 Hf8! draws) Hf6+! reaches the draw of diagram 280. How does the pattern of diagram 297 change if White’s rook starts on bl? Then the draws with the black rook on the first rank disappear, as does the draw with ВНЬб (see line 1 of diagram 284). However, the draws with the ВП on a3, a5 and c3 remain the same, and there is an unsurpris- ing additional draw with ВПа4. There is only one noteworthy change, and that is that there is a new draw with ВПеЗ (namely WФc5,Пbl,Лe4 v ВФа7ДеЗ). The reason is that White cannot win by 1 Па1+ and 2 Фd6, because his bishop is hanging, while otherwise Black defends by ...ПсЗ+ or ...ПаЗ. This draw doesn’t work when Black’s rook starts on e2 0¥Фс5,ПЫ,Де4 v ВФа7,Пе2) be- cause White can win by 1 ПЬ7+ Фа8 (1.. .Фаб 2 Пе7 and now Black has no check on c2, so 2...nd2 3 JLd5 is de- cisive) 2 ПЬ4+ Фа7, and then as above: 3 Па4+ ФЬ8 4 Фd6. (298): White defended very weakly in this example, but thanks to his er- rors an unusually interesting position was reached: 1 Hd7+ (a very poor move; 1 Hd6 Фе 7 2 ПЬб was much more sensible, when Black must play 2...JLe6 in order to free his king, which allows White to play Фg2 and Ф12, removing his own king from the dangerous comer area) ФГ6 2 Hd6+ ФТ5 3 Hd7 (3 Hd8 ФТ4 4 Hf8+ Фg4 5 Hf6 was slightly easier, but the position is already quite tricky to
202 Secrets of Pawnless Endings 298 =/= Johnstone - H.Olafsson Winnipeg Open 1986 play) ФГ4 4 Bd6! (by now White is already reduced to ‘only moves’; 4 *gl? Ф13! 5 Bg7 Bd2 6 Bg6 JLe4 wins after 7 Bf6+ {7 Bg7 ФеЗ 8 Bf7 Bg2+ transposes} ФеЗ! 8 Bf7 Bg2+ 9 ФП Bh2 with Philidor’s position, while 4 Bg7? Bd2+! 5 Фgl ФеЗ 6 Be7+ JLe4 7 Bf7 Bg2+ leads to the same position; finally, 4 Bd8? Edl 5 Bf8+ Фg4! 6 Efl Bd2+! 7 Фgl Bg2+! 8 ФЫ ФЬ5 wins because there was no check on g8 at move 6) Bd2+ (after 4...Bdl 5 Bf6+! Фg4 6 Bg6+! the king is driven away) 5 Фgl! ФеЗ 6 Ef6? (we know from di- agram 297 that the only drawing squares are f2, el, al, cl, аЗ, c3 and a6; therefore 6 Ba6! is the unique drawing move) Bg2+ 7 ФП Bg4 0-1. 7.4 Practical examples This section may appear to be over- long, but it is extremely interesting to see which ideas are especially rel- evant to over-the-board play, and to see which mistakes occur most often under the pressure of tournament play. Since we have already devel- oped all the necessary theoretical background, we do not need to de- vote too much time to each position. Readers may gain the impression that the superior side very often wins the ending of B+JL v E. This is de- ceptive, because there were many examples of accurate defence which I have not included because they only repeat the same themes over and over again. Here we concentrate more on the games which have reached tricky or marginal positions, and it is true that these are often won in practice. First of all we consider some games in which the defender, for one reason or another, has found himself with a ‘third-rank defence’. As we observed above, this is normally ade- quate for a draw, but it is harder to play than the standard draws of sec- tion 7.1. The following two examples are typical: (299): 1 Bg2 Eel+ (this defence is perfectly adequate; l...Bf8 2 JLf5 ФЬб! 3 Bg6+ ФЬ7! also draws, but this would be a poor practical choice because Black’s king is driven nearer the comer) 2 ФГ6 Bfl+ 3 i.f5 Bf4 (З...Ф114 4 Bg4+ ФЬ5! 5 Bg3 Bf4! leads to a similar position) 4 Bg3 Ba4 (Black has settled into the Szen draw of diagram 279) 5 Фе5 (this move isn’t really dangerous, but Black chooses one of the few losing replies) Ba5+? (a terrible move;
Rook and Bishop v Rook 203 299 Krahenbiihl - Pergericht Lugano Open 1989 5...Bb4 is safest, and if 6 JLe4, then 6...Eb6 7 Ф44 ФИ6 reaches diagram 281) 6 <S?f4! (after this Black can only reach an inferior form of Phil- idor’s position) Ea4+ 7 JLe4! ФЬб (7...Ф114 8 Eg4+ wins after 8...Ф113 9 Egl Ea2 10 Sg8 ФЬ2 11 Eh8+ ФЙ1 12 Ehl+! ®f2 13 Bh2+! or 8...ФЬ5 9 Egl ФЬб 10 Eg6+! ФЬ5 11 Eb6Ed4 12 Ebl) 8 Bg6+! ФЬ5 9 Eb6 1-0. (300): White was to play, and the game continued 1 Феб Ecl! (estab- lishing Szen’s draw) 2 Eb7 Ec2 3 Eb8+ Ec8 4 Ebl Ec2 5 i.f4 Ec3 6 Eb8+ Bc8 7 Eb3 Ec6+ (this is ade- quate, but waiting with 7...Ec2 was a good alternative, and then 8 Фd6 Фе8 draws) 8 Ф<15 Баб (Black shifts to the third-rank defence; of course the position is still a draw but, as we have observed before, accurate play is required) 9 JLd6 Ea2 (a good idea; Black prepares to switch back be- hind White’s king) 10 Eb7 Ed2+? (this error is identical to that in the 300 =/= J.Piket - Ninov European Junior Ch (Groningen), 1986/7 previous diagram; 10...Ec2 is safest, when 11 JLc5 Ee2 12 Феб Фе8 reaches diagram 281) 11 Феб! Фе8 (H...Ec2+ 12 Ac5! Фс8 13 Ec7+ Фd8 14 Ea7 Фе8 15 Ee7+! Фd8 16 Eel is also lost) 12 Ee7+! Фd8 13 Eel Ec2+ 14i.c5'.Bc3 15 Efl 1-0. The next example is more com- plex: (301): Black was to move in the game, but in this case it makes little difference who moves first: l...Ecl 2 Феб (we already have the Szen draw) Bel+ (waiting by 2...Ec2 was equally good) 3 JLe5 Ecl! 4 Eh7 Фс8 (now Black moves into the dia- gram 281 draw) 5 Eh8+ (White abandons any attempt to make some- thing of this position and decides to start again on the side of the board) ФЬ7! 6 Bb8+ Фаб 7 Фс15 Edl+ (not the most accurate; after 7...Фа5 8 JLd4 Фа4 9 JLc5 Ehl 10 Феб Eh4 we are back in diagram 281; for 7...Ec2, see diagram 304) 8 Jld4
204 Secrets of Pawnless Endings 301 =/= Lobron - Spasov Biel IZ1993 302 =/= Madl - Koen Hajduszoboszlo Z worn 1991 ПЫ? (Black could still have de- fended by 8...Фа5 9 Фс4 Bcl+! 10 ЛсЗ+ Фаб! or 8..Лс1 9 Лс5 Фа5! 10 Феб Фа4!, the latter being the draw of diagram 280) 9 Лс5! Фа5 (Black’s most resilient defence is 9...Bh6, but 10 JLd6! Bg6 11 Феб leads to Philidor’s win) 10 JLb4+? (10 Феб! is correct, when 1О...Фа4 И Bb4+! Фа5 12 Sc4 Sal 13 JLd4 wins quickly as in line 1 of diagram 276) Фа4! (10...Фаб? 11 Феб Bh6+ 12 Ad6! is Philidor again) 11 JLc3 Eh7 (1 l...Eh6 12 JLd4 Фа5 is also a solid draw) 12 Фс4 Ec7+! 13 ФdЗ Eh7 14 Eb6 Eh3+? (just as in the previous two diagrams, a stray check proves fatal; 14...Eh4 15 JLd4 Фа5! was the simplest) 15 Фс4! (White doesn’t miss the second chance) Eh4+ 16 JLd4! Фа5 (as so often hap- pens, Black fails to put up the best resistance; 16...Eh5 would have forced White to find the Philidor move 17 JLf6) 17 Eg6 Ee4 18 Egl Фаб 19 Bg7 1-0. (302): Once again Black’s rook is operating on the third rank. Black was to play in the game: l...Eb7 (a poor choice, since Black must now defend very accurately; the more natural l...Ba7 was better, as was 1...ФЬ5 2 JLf4 Be7+ 3 ФfЗ Bf7 leading to diagram 280) 2 JLf6+ (2 Jlf4 Bb5 is safe) ФЬЗ! (not 2...ФЬ5? 3 ФГ5! Bb5+ 4 Ле5! with a Philidor win) 3 ФГЗ Bb3+! 4 ФТ2 (had Black played l...Ea7, there would now be a check on the second rank) and now: 1) 4.. JId3? 5 Ag5! ЕаЗ 6 ЛеЗ Ba2+ 7 ФfЗ! wins by diagram 276. 2) 4...Bb5? (as played in the game) 5 Bg3+? (5 Bhl+! Фg4 6 Bh4+! Фf5 7 Bh5+! would have won Black’s rook immediately) ФЬ2! 6 Bf3 Ba5? (6...Bc5 was the safest move, preparing to check on c2 and cl, and after 7 JLc3 Bd5 White has no good reply; it is worth noting that 6...Bd5 also draws, but accurate play is required, for example 7 JLc3 Bg5! 8 JLd4 Bg2+! 9 ФП ФЫ! and Black
Rook and Bishop v Rook 205 will check on gl and g2, driving White’s king away) 7 JLd4! (threat- ening 8 ФП) and now: 2a) 7..JId5 (the game continua- tion loses directly) 8 JLe3! Eh5 (or 8...Bd3 9 Bf8) 9 JLf4+ ФЫ 10 ПаЗ 1-0. 2b) 7..Ла2+ 8 ФП! ФЫ 9 JLf2 Eal+ 10 JLel! and after 10...Ea2 11 Ef8 or 10...Ф112 11 Hf2+! ФЫ 12 Ef8 White wins as in diagram 277. 2c) 7..ЛЬ5 (this is the best de- fence; White can win, but it is far from easy) 8 Ef4 ФЬЗ (8...Eh5 9 JLf6 ФЬЗ transposes) 9 JLf6! Bh5 (this position - WФf2,Ef4,JLf6 v ВФЬЗ,ЕЬ5 - is of independent inter- est) 10 Ae7 Eh7 (other moves lose more quickly) 11 JLg5 Eh5 12 JLf6 (this is a key zugzwang position; White wants to play Ф^З, meeting ...ФЬ2 by JLe5, but this is only possi- ble when Black’s rook is not on h5) Eh6 (12...ФЬ2 13 JLe7 wins after 13...Bh7 14 JLg5 ФЬЗ 15 ФfЗ ФЬ2 16 Bg4 ФЬЗ 17 Bg3+ ФЬ2 18 Eg2+ ФЫ 19 JLf4flh3+20JLg3!Eh8 21 Ea2 Ef8+ 22 JLf4 Eg8 23 Ba5 mat- ing, or 13...ФЬЗ 14 ФТЗ Eh7 15 Ef8 ФЬ2 16 JLd6+ ФЬЗ 17 JLf4 ФЬ4 18 Ef5! leading to line 1 of diagram 276) 13 ФТЗ ФЬ2 (13...ЕЬ5 14 JLe7 Eh7 15 Ef8 and 13...Eh7 14 i.g5 are the same as the last note) 14 JLe5 ФЬЗ(14...ФЬ1 15 Ea4Bg6 16flh4+ mates) 15 Ef5 Bh4 16 JLf6 Eh6 17 JLe7 Eh7 18 Ef8 winning as in the note to Black’s 12th move. 3) 4..ДаЗ! 5 JLg5 Ea2+! 6 ФfЗ Eg2! (Black is saved by this attrac- tive stalemate defence) 7 Ehl+ Eh2! 8 Edl (White avoids the attention of Black’s rook; 8 Eal Ea2! is also drawn) Eg2! 9 JLf4 Bg3+! and the second stalemate forces White’s king away. The remaining positions in this section do not readily fall into cate- gories, and indeed they are arranged in no special order. However, all are instructive and demonstrate that ar- riving at a theoretically drawn posi- tion does not necessarily mean that the game will be a draw. Sunthornpongsathorn - Manor Thessaloniki OL 1988 (303): Black to play would win at once by 1...Фс5!, but in the game White was to move. Although White has various ways to draw, the posi- tion is a little tricky and he must take care. Perhaps 1 Eh3 is the simplest, when 1...Фс5 2 Фа4 is the Szen draw. However, the game continued 1 ФЬ4 Bb2+ and now: 1) 2 ФаЗ? (rather surprisingly, the game continuation loses) Eb3+! 3 Фа4 Фс4! (we have transposed
206 Secrets of Pawnless Endings into diagram 295) 4 Eh4+ (see dia- gram 295 for other defences) Фс5! 5 Фа5 БЬ7 6 Eh6 Ebl (initially Black cannot see how to make progress, but he gets back on track very quickly) 7 Eh4 Eb7 8 Eh6 JLf7 (the character- istic Philidor move) 9 Ef6 JLc4 10 Ef5+ JLd5! 11 Ef6 Eb5+ 12 Фаб Eb3 13 Фа7 Bb7+ 14 Фаб Ee7 0-1. Accurate play by Black, who made eight optimal moves in a row. 2) 2 Фа5? Фс5 leads directly to Philidor’s position. 3) 2 Фа4! Фс5 3 Eh3! with Szen’s draw. 304 =/= Sellos - Chernin Paris Ch 1989 (304): 1 Eel JLb4 2 ЕеЗ (White adopts a sensible waiting policy; 2 Edl+? Феб! 3 Фе8 Ee7+! 4 Фd8 Ee2 5 Фс8 JLd2 would be a serious error) Фd6 3 Фе8! (once again, not 3 Ed3+? Феб!) Феб (this is the draw of diagram 281) 4 Ee4 JLd6 5 Ee2 Фd5 6 Eel (this is not really an error, but as we pointed out before, 6 Фd8 is the simplest draw, waiting to see which way Black goes with his king) JLe5 7 Фd8 (a good move, since Black was threatening to win by 7...Феб) Eh7 8 Фс8? (a serious er- ror; 8 Ecl Феб 9 Фс8 is the way to return to diagram 281) Феб? (Cher- nin misses the win by 8...Ec7+! 9 Фd8 Фd6!, as in diagram 295) 9 Ecl! (diagram 281) Hh8+ (we have transposed into diagram 301) 10 ФЬ7 Eb8+ 11 Фаб Фс15 12 Ec2 (for 12 Edl+, see diagram 301; as was pointed out before, 12 Фа5 is the easiest draw) Eb3 13 Фа5? (White overlooks that the position of the rook on b3 gives Black an extra at- tacking idea; 13 Ecl was still a draw, for example 13...JLc3 14 Ehl or 13...JLd6 14 Фа5 i.c5 15 Ehl Феб 16 Eh4) JLc3+! (suddenly Black’s king penetrates to the c-file) 14 Фаб (14 Фа4 Фс4 15 Eh2 Eb4+ 16 ФаЗ Eb8 17fih4+ JLd4! 18Фа2ЕЬ2+ 19 ФаЗ Eg2 wins, much as in diagram 276) Феб! 15 Фа7 Фс7 16 Фаб (or 16 Еа2 JLd4+ 17 Фаб Eb6+ 18 Фа5 JLb2 19 Фа4 Eb8 and wins by zug- zwang) Eb6+ 17 Фа7 Есб 18 Ea2 0-1 because 18...JLd4+ 19 Фа8 ФЬб wins at once. The next diagram illustrates the dangers of moving one’s king too far into the comer. (305): Black has already set up the Cochrane draw, but in only a few moves she falls into difficulties. White was to play and the game car- ried on: 1 Фе4 ФЬ4 (this isn’t wrong, but 1...Ф116 would be normal, mov- ing the kings further apart, and if 2 JLf7 then 2...Eg5 frees the king) 2 Egl ФЬ5 3 i.f7+ ФЬб 4 Ф£4 ФЬ7 5
Rook and Bishop v Rook 207 305 =/= Novikov - J.Polgar Pamplona 1990/1 JLg6+ ФЬ8 (I don’t like this move because the defence is always more difficult when the king is in the cor- ner; 5...ФЬ6 6 Ле4 Eb6 would have transposed to diagram 281) 6 JLf5 Ea5 7 Bg6 (Black doesn’t realize that this move threatens to win) and now: 1) 7„ЛЬ5? (the move played in the game) 8 Фg5! and now: la) 8...Eb2 (the move played shortens the win by 11 moves) 9 Фf6 Eh2 (9...Eb6+ 10 Леб! Eb7 11 Eg8+ ФЬ7 12 Egl ФЬ8 13 Edl wins) 10 Eg3 (10 Фf7 Eh7+ 11 Фf8 was faster) Ef2 (10...Eh6+ 11 JLg6 Ehl 12 ЕаЗ Efl+ 13 JLf5! Egl 14 Eh3+ mates) 11 Eh3+ 1-0 because 1 l..^?g8 12 ЕаЗ ends the game. lb) 8.ЛЬ89ЕЬ6ч^7(9..Ф^8 10 Ле6+ Фg7 11 Eg6+! ФЬ7 12 Фf6 Eb5 13 £g8+ ФЬ8 14 ±f7 and White wins after 14...Eh5 15 Egl Eh2 16 JLg6 Eh3 17 Bal Bf3+ 18 JLf5 or 14...Eb6+ 15 Леб! transpos- ing to the note to Black’s 9th move in line la) 10 Eh7+! Фg8 11 Ee7! (the inferior 11 Ed7? Eb6 leads to a draw) ФЬ8(11...ФТ8 12Фf6!Bb6+ 13 Леб! Eb2 14 Ea7 Ef2+ 15 Af5! wins as in diagram 276; ll...Eb6 12 Леб+! Ф4Б 13 Фf6! is exactly the same) 12 ФЬб Фg8 13 Фg6 and now both 13...Ф18 14 Фf6! Eb6+ 15 Леб! and 13...Eb6+ 14 Леб+! ФТ8 15 Фf6! lead into diagram 276 as be- fore. 1c) 8...Eb7 9 Eh6+! Фg8 10 Ле6+! Фg7 (the alternative Ю...Ф18 11 Eh8+! Фе7 12 Eg8+! transposes) 11 Eg6+! ФЬ8 (П...ФЬ7 12 ФГ6 Eb5 transposes to the note to Black’s 9th move in line lb) 12 Bg8+! ФЬ7 13 Фf6! ФЬб and White wins as in diagram 276. 2) 7.. ЛаЗ? 8 Фg5! Bg3+ 9 Лg4! ЕаЗ 10 Фf6 Ea7 11 Eg5 ! reaches a complex winning position which we will consider later in line lb of dia- gram 337. 3) 7..Ла7 (7...Eal 8 Фg5 Egl+! 9 Лg4 Efl! is also drawn; the reason why 7...ЕаЗ? loses is that the square f3 is not available when the rook is on the third rank) 8 Фе5 Eg7 9 Ea6 (9 Eh6+ Фg8! 10 Ле6+ Ф4Б! is no better, because 11 Ф46 is answered by 1 l...Ef7+!) Фg8 10 Лg6 Ф4Б! and Black escapes into the second- rank defence. (306): White’s king is unfavour- ably placed near the comer, but even so the position should be a draw. White was to play: 1 Eg4 (1 Ea3+ ЛdЗ 2 Фg2 Bg8+ 3 ФЬЗ is simpler, with a Cochrane position) Ле2 2 Bg7 Л13 (the bishop is ready to pro- vide shelter if White should check
208 Secrets of Pawnless Endings 306 Kurtenkov - Tseshkovsky Tmava 1986 on e7) 3 ФИ2 (the most obvious move, so there is little need to ex- plore alternatives, but it is worth not- ing that the only other move to draw is 3 Ea7, and that 3 Bc7? loses in 47 moves after 3...Eg8+! 4 ФЬ2 JLd5!, transposing to line 1 below) ФТ4 4 i’gl (my feeling is that 4 Eh7 would have been sounder, avoiding techni- cally difficult positions) Eh8 5 Ec7 (5 ФТ2 Eh2+ is similar) Shl+ (Black could have forced Lolli’s draw by 5..^g3 6 Eg7+! JLg4 followed by ...Ed8; as we know, this is extremely hard to defend in practice) 6 Ф12 Eh2+ 7 i’gl (7 Фе1 is also possible; 7...ФеЗ 8 Ec3+ leads nowhere, while 7...JLe4 8 Фdl ФеЗ 9 Фс1 is dia- gram 281) Ed2 8 Ec8 JLe4 9 Ec3 JLd3 (explaining Black’s choice of d2 on move 7) 10 Ec8 (this and 10 Ec7 are the only drawing moves; 10 Ec5? loses to 10..^g3! 11 Eg5+ ФТЗ! 12 Eg7 JLe4 13 Ea7 Eg2+ as in line 4a of diagram 291) ФеЗ 11 Ec7 Edl+ 12 ФЬ2 JLe4 13 Ef7 (White goes for the third-rank defence) JLf3 and now: 1) 14 ФgЗ allows White to reach a painless draw after the continuation 14...Egl+ 15 ФЬ4 Eg4+ 16 ФЬЗ! Ф12 17 Ef8, which transposes into diagram 280. 2) 14 Ea7 (if White touches his rook, then this is the only move to draw) JLd5 15 Ea6!. Why this square and no other? For the answer look back at diagram 297. This position is basically the same, except that Black has played a preliminary rook check. In diagram 297 we saw that the only safe square in the ‘far’ part of the board is fl (here a6). Readers may check that the ‘near’ drawing squares cannot be reached safely by White’s rook. 3) 14 Ec7? (the move played in the game, but this is not a safe square) JLd5! (the game continued 14...ЕЫ+? 15 ФgЗ Egl+ 16 ФЬ2 Eg2+ 17 ФЬЗ Eg5 18 ФЬ2 JLe4 Vz-Vz) 15 ФgЗ (everything else loses quickly, for example 15 ФЬЗ Фf4!) Egl-ь! 16 ФЬ2 (or 16 ФЬ4 Ф14! 17 ФЬ5 JLe6!, when 18 ФЬб Фf5! 19 Ec5+ Фf6! is diagram 276, and 18 Ec6Фf5! ^lv^6 20Ec2Eg4+! 21 ФЬ5 Ef4 22 Eh2 JLf5 wins as in line 1 of diagram 276) Eg8 17 Ec5 (most moves fail to 17..^f4, head- ing for Philidor’s win, while 17 Ec3+ Фf4! wins by diagram 284) Ле4! (it is important to keep White’s rook away from the f-file) 18 Ec7 (or else ...Фf4; if White’s rook were on the а-file, he could draw by playing Ea6! here) Eg2+ 19 ФЬЗ Eg5! and now we have transposed into line la
Rook and Bishop v Rook 209 in the note to Black’s 6th move in di- agram 294. 307 =/ A.Rodriguez - Smagin Sochi 1988 (307): Once again White’s king is in an unfavourable position. Play continued 1 Eg2 Ec7+ 2 i’gS JLe7 3 Ee2+ (after this White cannot avoid Lolli’s position; 3 Фg7 JLf6+ 4 ФЬб! was much safer) stfG 4 Ef2+ (it is too late for 4 ФИ7?, when 4...JLc5+ wins after 5 i’gS Eg7+ 6 Ф118 Egl 7 ФЬ7 JLd4 8 Ea2 Bhl+ 9 *g8 Феб 10 Еаб+ Фе7! 11 Eh6 Egl+! 12 ФЬ7 Eg7+! 13 ФЬ8 Фd8 or 5 ФЬб Фf5! 6 Ee8 JLd4) Фg6 5 Bg2+! i.g5 6 Bf2! JLf6 (White’s defence is made easier because Black has not played the preliminary moves to force White’s rook onto the first rank; the method for doing this is explained in the note to Black’s 2nd move in di- agram 294) 7 Eg2+! Фf5 8 Ea2 (White’s rook is already on the fa- vourable second rank, so there are other ways to draw, for example 8 Ef2+ Феб 9 Ea2! i.e5 10 Ea6+!) Ed7 (this position is familiar from the previous diagram after 7...Hd2; the only difference is that White’s rook is on a2 and not c2) 9 Ee2 JLe5 10 Ef2+? (10 Ec2 and 10 Ea2 were the only drawing moves, for example 10 Ea2 Феб 11 Ea6+! JLd6 12 Ea2 and Black is not making progress) Феб! (there is no check on the sixth rank so White loses) 11 Ef7 (11 Hfl Eg7+ 12 Фf8 Eh7 is Philidor’s win) Edl 12 Ba7 Ed8+ 13 ФЬ7 Фf5 14 ФЬб Ed2 0-l. 308 =/= K.Arkell - Gayson British Ch 1989 (308): Keith Arkell is a specialist in E+JL v E; this example and the next demonstrate his skill. White was to play and after 1 Фс5 Black’s main problem is that although the position appears quite harmless, the poor position of his rook means that a few accurate moves are required. The game continued l..JZc3 (1 ...ЕеЗ 2 Ef7+ Фе8! is a safe defence be- cause 3 Фd6 is met by 3...Ed3+!, while 3 Ea7 Ee7 4 Ea8+ Фd7 5 Фс15
210 Secrets of Pawnless Endings Фс7 is the second-rank defence) 2 Ef7+ Фе8! (not 2...*d8? 3 *d6! Фс8 4 Ad5) 3 Bc7 and now we reach a strange position. White’s idea is to play i’dh, and the simplest way to take the sting out of this is by 3...Bh3 (f3 and g3 are just as good) 4 i’db Sh6+ 5 Леб ФТ8, reaching diagram 280. The only other move to draw is З...ФТ8, with the point that after 4 <4)d6 Bf3! Black arrives at the draw of diagram 281. The strange thing about the position after 3 Sc7 is that 4 i’db is not a threat; indeed, the po- sition is drawn even with White to play. For example, White to move might continue 4 Фч16 ФТ8! 5 Bf7+ Фё8! 6 Леб ФЬ8! 7 Фе7 Bg3! 8 Bf8+ ФЬ7! 9 Лf5+ and now Black is able to free his king because the rook is close enough to be defended after 9...ФЬ6 10 Bh8+ Фg5! 11 Bg8+ Фf4. If Black’s rook were on g2 or gl then this line fails, so Black would have to play his king into the comer, which loses after 9..^g7 10 Ef7+! ФЬ8 11 Bh7+! Фg8 12 Фf6!, as in the conclusion of diagram 276, Now we can see why the move played in the game, 3..JIcl?, is a fatal error; Black moves the rook too far away from his king! The game continued 4 Фбб! and now: 1) 4..JIdl+ (the game continua- tion accelerates the winning process by 31 moves) 5 Лd5! Фf8 (5..^d8 6 Bd7+ Фе8 7 Ba7 ФТ8 8 Ef7+! only lasts two moves longer) 6 Ef7+! Фе8 7 Bf2 Bd4 8 Be2+ ФТ8 9 Bg2! 1-0. 2) 4..j4f8 5Ef7+^g8(5.^e8 6 Ef4 wins immediately) 6 Леб! (not 6 Лс15? ФЬ8! and White cannot play Фе7) ФЬ8 (6...Bdl+ 7 Фе7 ФЬ8 8 Фf6 Bfl+ 9 Л»! Egl 10 Bh7+ Фg8 11 Ea7 ФЬ8 12 Ea4 wins) 7 Фе7! Bc7+ (the toughest defence; 7...Ehl and 7...Egl effec- tively transpose to lines lb and 1c re- spectively in diagram 305) 8 Лd7! and we have transposed to line 2 of diagram 305, which is a complex and lengthy win in 35 moves. (309): In this position Black’s king is badly placed in the comer, but the position is nevertheless drawn if he moves first. The game continued l...Bb3+! (after l...Ec8? 2 Лс4 Bb8+ 3 ФсЗ! play transposes to line B2 of diagram 335) 2 Фс4 Ec3+ 3 Фd4 and now: 1) 3...Ec8? (as played in the game; having driven the king away, it is tempting to try to prevent it from returning, but here the bishop is able to provide shelter; note that 3...Ec7? loses in the same way, while
Rook and Bishop v Rook 211 3...Bc6? 4 Bh2 Bb6 5 i.c4! Eb2 6 Ehl+! Ebl 7 Bh3 Edl+ 8 ФеЗ! Bcl+ 9 ФЬЗ! Bbl+ 10 ФаЗ wins as in diagram 278) and now: 1 a) 4 Ehl (moving to e2, f2 or g2 wins in the same way) Ea8 (4...Eb8 5 Ehl+ Фа2 6 JLc4+! ФаЗ 7 Bal+! ФЬ2 8 Ba2+! Фс1 9 ФеЗ! wins as in diagram 276, while 4...Ecl 5 Eg2 puts Black in zugzwang, and wins as before after 5...Bc7 6 JLc4 Eb7 7 Ea2+ ФЫ 8 ФеЗ!) 5 Ehl+ ФЬ2 (5...Фа2 6 Лс4+ ФЬ2 7 Bh2+! Фс1 8 ФеЗ! wins by diagram 276) 6 Bbl+! Фа2 7 Eb7 and now: lai) 7...Фа1 8 JLc4 Bb8 (8...Ea3 transposes to line la3) 9 Ba7+, when ЬоЛ9...ФЬ210Ва2+!Фс1 11ФсЗ! and 9...ФЫ 10 ФеЗ! Фс1 11 Ba2 lead to diagram 276. 1а2) 7...ФаЗ 8 Лс4! Фа4 (alter- natively, 8...Bh8 9 ФеЗ Eh3+ 10 JLd3! is diagram 276) 9 JLb5+ ФЬЗ 10 i.c6+ Фа2 (10...ФаЗ И ФеЗ! Фа2 12 JLd5+ Фа1 13 Bh7 wins) 11 JLd5+ Фа1 12 ФеЗ ВаЗ+ 13 ЛЬЗ! Ва8 14 Eh7 Вс8+ 15 JLc4! mates in a few moves. Ia3) 7..JZa3 8 Лс4+ Фа1 9 Eb8 (Black is in zugzwang) Eg3 (this is the note to Black’s 4th move, but with the position reflected) 10 JLd3 Bg2 11 Bbl+ Фа2 12 ФеЗ! ФаЗ with diagram 276 again. lb) 4 JLc4? (for once Arkell errs; this move should lead to a draw) Ed8+! (the only move; 4...Bb8 5 Ba2+ ФЫ 6 ФеЗ! wins as before) 5 JLd5 Bc8! (not 5...Bb8? 6 ФеЗ! Eb2 7 Bdl+! Ebl 8 Bd4 Bcl+ 9 ФЬЗ! ЕЬ1+10ФаЗ!Ес1 11 Ed3, winning very much as in diagram 278) 6 Be2 (White is forced to move his rook off the exposed d-file, but now he threatens to win by 7 Лс4) Bd8! (very accurate defence; the bishop must be pinned to prevent JLc4, and because White’s rook is no longer on d2, the reply ФеЗ is impossible) 7 Bd2 Bc8! 8 ФdЗ Bd8? (a horrible move allowing ФеЗ; in fact there was no threat, so 8...Bc7 would have drawn, and 8...ФЫ was also possi- ble) 9 ФеЗ (now White wins easily) Bb8 10 i.b3 Bc8+ 11 i.c4 Bb8 12 Bd5 1-0. 2) 3„JZb3! 4 JLc4 Ea3! (and not 4...Bb2?5Bdl+!Bbl 6Bd3!Bhl 7 Ed2 Ecl 8 Ea2+ ФЫ 9 Bh2 win- ning as in line la3) 5 Фс5 (5 Bh2 ФЫ! 6 JLd3+ Фс1! 7 ФеЗ ВЬЗ draws by diagram 280) ФЫ! (the line 5...Ba4? 6 ФЬ5! Ba8 7 ФЬ4! Eb8+ 8 ФеЗ! wins as in line 1 b of di- agram 337) 6 ФЬ4 Фс1! 7 Bh2 Bg3 and Black maintains his control of the third rank. In the following example, the half- point was handed backwards and forwards. (310): Just as in Novikov-J.Polgar above (diagram 305), Black has al- ready set up the Cochrane draw. Once again, things start to go wrong quite quickly: 1 Фс5 Bdl (1...Фе8 is the most natural and safest move) 2 JLf6+ Фе8 3 Феб Bcl+ (there is no reason to drive White’s king to a better position; 3...Bd2 would have avoided any danger) 4 Фd6 Bdl+? (losing; 4...Bbl was the safest of many drawing moves, when 5 Феб Bb6+! 6 Ф45 Bbl and 5 i.e5 Bb6+ 6 Ф<15 Bh6 are relatively easy draws)
212 Secrets of Pawnless endings 310 =/= Kiselev - Magomedov Ljubljana Iskra 1992 5 Феб! Eel+ 6 JLe5! (White has reached Philidor’s position, but the adventure is only beginning) Sdl 7 Hh7 Efl 8 JLg3 (basically the right idea, but it is only effective when White’s rook is on g7) Ef3 (8...Ф1В would have forced White to return by 9 Ле5; if the rook were on g7, then 8...ФТ8 would be met by 9 Eg4 Фе8 10 Ea4 Sdl 11 Jlh4, with an easy win) 9 JLd6 (thanks to Black’s inaccuracy, the win is again easy for White, who has persuaded Black to move his rook onto the unfavourable third rank) Se3+ 10 JLe5! Sf3 11 Ze7+ ФТ8 12 Zh7 (even though the win is quite close, for the moment White does not know how to pro- ceed) Фе8 13 Se7+ Ф18 14 Ha7 (better) Фg8 15 Zg7+ Ф18 (up to here White has wasted a few moves, but has not made any major errors; now he could force mate by 16 Sg4 Фе8 17 JLf4, but instead he goes into reverse gear) 16 Sb7 Фg8 17 JLf6? (a serious mistake throwing away the win) Ee3+? (Black returns the compliment; 17...Sa3! was correct, threatening to check from the side) 18 Ле5! Sf3 19 Sbl? (White finds a second way to throw away the win) Ef2? (Black seems oblivious to the deadly threat; 19...ФЬ7! would have switched to a third-rank defence which, as we already know, is drawn with accurate play) 20 Ehl 1-0. Tiredness obviously played a fac- tor in many of these examples, but here there was little excuse because the game was adjourned after 61 moves, and only 21 more moves had been played when the diagram posi- tion arose. In the next two examples, the su- perior side had a win for just one fleeting moment, but once the oppor- tunity was missed it never came again. 311 =/= H.Olafsson - Petursson Akureyri 1988 (311): White (to play) is using the second-rank defence, and at the moment there is no danger: 1 Bc2
Rook and bishop v Rook 213 JLd3 2 Bf2 Ea8 3 Ed2 (this involves a slight but unnecessary risk; White could have played 3 Bh2, preparing to meet З...Фс4 by 4 Eh4+) Фс4 and now: 1) 4Eg2?Sb8+!5^al(5^clis impossible because of 5...ЕЫ+! and 6...Eb2+!) Bbl+ 6 Фа2 ФсЗ 7 ФаЗ wins as in diagram 276. 2) 4 Ef2! Eb8+ 5 Фс1! ЕЫ+ (5...ФсЗ 6 Bc2+!) 6 Фd2 Фd4 7 Bf4+ JLe4 8 Bf2 draws. 3) 4 Фс1? (the move played in the game is a typical second-rank de- fensive move, setting up 4...ФсЗ? 5 Ec2+!, but in this position it loses because White’s king is too close to the a-file) Фd4? (4...Hal+! 5 ФЬ2 Ehl wins after 6 ФаЗ ФсЗ or 6 Eg2 Ebl+! 7 Фа2 ФсЗ, with diagram 276 in both cases) 5 Bf2 and now the po- sition is again drawn. Black tried to win for a further 65 moves, before fi- nally acquiescing to the draw on move 163. 312 =/+ Chernin - Kupreichik USSR Ch 1987 (312): This position, with White to play, arose after 148 moves, so some exhaustion is understandable! The following moves are possible: 1) 1 ЕаЗ? (the move actually played should lose instantly) JLd4? (it is surprising that Black should miss 1 ...Eb8+!, when 2 Фа5 Ea8+ 3 ФЬ4 JLd6+ and 2 Фа4 Фс4 force resignation) 2 ЕЬЗ (White has estab- lished a second-rank defence) Ec5+ 3 Фаб Фс4 4 Ebl Ec6+ 5 ФЬ7! Фс15 6 Ehl Bc4 7 Eh5+ JLe5 8 ФЬб Eb4+ 9 Фа5 Bb8 (Cochrane) 10 Bg5 (not 10 Фаб? Феб!) Фd4 11 Фаб JLd6 12 Eb5 Ef8 13 Eh5 Фс4 14 ФЬб Ef6 15 ФЬ7 Фd4 16 Ehl JLf4 17 Eh5 Ле5 Vz-'/z, doubtless to the relief of both players! 2) 1 Eh7? Bb8+! 2 Фа5 Фс5! 3 Фа4 Фс4! 4 Eh4+ JLd4! is Philidor’s win. 3) 1 Ee7? (this move leads to a very interesting win for Black) Eb8+! 2 Фа5 (2 Фа4 JLd4! transposes to the main line) JLd6! 3 He2 (3 Ee3 Ac5! 4 Ee2 transposes) Ab4+! 4 Фа4 (4 Фаб Феб 5 Фа7 Eh8 6 Ееб+ JLd6 wins immediately) JLc3! 5 Ee7 (5 Eg2 Фс4! 6 Eg4+ JLd4! is Philidor’s win) JLd4! 6 Фа5 (6 Ec7 JLc5! 7 Eg7 Фс4! is Philidor again) JLc5! (the end of an extraordinary bishop manoeuvre) 7 Ee2 Феб 8 Фа4 Eb4+! 9 Фа5 Ec4 10 Ea2 (10 Eb2 JLd4 11 Ea2 JLc3+ 12 Фаб Eh4 13 ЕаЗ JLb2 14 Ea2 Eh8 wins) and now we have the zugzwang position from line 1 of diagram 276, but with the wrong player to move. If Black could lose a tempo, he would win as in the analysis of diagram 276. The method
214 Secrets of pawnless Endings for doing this runs 10...JLb6+ 11 Фаб JLe3 (the idea is that if White does not make threats, then Black will win by ...Be4-e8-a8) 12 ЕаЗ (12 Ea5 JLd2 13 Ba2 is the same, while after 12 Фа5 JLc5 Black reaches his target) JLd2 13 Ba2 (13 Фа7 Bb4 14 Фа8 Be4 15 Ba6+ Фс7! 16 Ea7+ ФЬб 17 Eb7+ Феб and 13 Eal Ee4 14 Ea2 JLc3 15 Ea3 JLb2 win more quickly) Ecl 14 Фа7 (14 ЕаЗ Eel) JLe3+ 15 Фаб JLc5 16 Фа5 (16 Ba5 JLb4 17 Ea2 Eel) Ec4! and now White is to play. 4) 1 Eb7 is perhaps the simplest draw, with a standard second-rank defence, although several other moves are also sufficient. 313 Ehlvest - Hellers Haninge 1990 (313): This game was played in the last round of the tournament, and it was already the early hours of the morning... The game continued (at move 150!) 1 Ea5+ (some sources incor- rectly give this as the losing move; while the move does not lose, I would agree that it is unwise, and that head- ing for the second-rank defence by 1 Ea6 and 2 Bg6 is more sensible) Феб 2 Ea6+? (this really is fatal; 2 ФЬ5 i.e5 3 ФЬ4 Фf5 4 ЕаЗ! is the Szen draw of diagram 279, while 2 ЕаЗ i.e5 3 Ef3 JLf6 4 ФЬ5 ФП 5 Ef2 reaching diagram 280 is equally good) Фf5! 3 Ba5+ (a typical reac- tion; having made one mistake, an- other follows immediately after; 3 ФЬ7 Bg7+ 4 ФЬб Bg8 5 ФЬ5 would at least force Black to win Philidor’s position) Ae5! (now the end comes quickly) 4 ФЬ7 Bg7+ 5 ФЬб Bg8 6 Ba7 Egl 0-1 (as 7 ФЬ7 Eh 1 + 8 Ф^8 Bh8+! 9 Фf7 Bh7+! wins the white rook). Hebden - Martinovsky London 1986 (314): White’s pieces are actively placed, but it is Black to move and he can start by driving White’s king back: l...Bb6+ (the only other draw- ing move is 1 ...Bb7) 2 Фе5 Bb5+ (at the moment there is little danger, but
Rook and Bishop v Rook 215 it pays to be accurate; 2...Eb7 was safer, with a second-rank defence) 3 JLd5 (threatening to win by 4 &d6, so Black must move his king off the back rank) Фе7 (3...'4>d7 is the only other drawing move) 4 Hf7+ Фе8! 5 Ef6 (5 Феб is met by 5...Eb6+!, but not 5...Exd5? 6 Eh7! winning) Фе7 6 Паб (thanks to Black’s inferior sec- ond move, the square b7 is covered and Black cannot use the second- rank defence) ПЫ 7 Па7+ Ф1В (not 7..Фч18? 8 Фd6! with Philidor’s win) 8 JLe6 (threatening to win by 9 Фf6) Фе8 (a good defence, heading for Szen’s draw; 8...Hhl was also possible, to meet 9 Фf6 by 9...Hh6+! and 9 JLf5 by 9...Hh6) 9 Фf6 Efl+ 10 Jlf5 Фd8? (a serious error losing immediately, and just when Black could have reached the Szen draw by 10...Edl!) 11 Ed7+! Фе8 12 Ed2 Hf3 13Ec2 1-0. 315 =/= Kohlweyer - Ostojic Dortmund В 1987 (315): Although Black is not in any real danger at the moment, he nevertheless lost quickly. Play con- tinued: 1 Фе5 ПЬ2 2 Hh7+ ’A’gS 3 Па7 and now White is threatening to win by 4 JLf5! ПЬ8 5 Ле6+ Ф1В 6 Hh7! Eb2 7 ФГ6! Ef2+ 8 JLf5! with diagram 276, so Black must improve his position: 1) З..ЛЬ5+? (leads to an inter- esting win for White) 4 JLd5+! ФЬ8 (4...Ф1В 5 Ф1б!) 5 Hd7! (freeing the king to move to f6) Ebl (to meet 6 Фf6? by 6...Efl+!) 6 JLe6 (preparing shelter on the f-file by JLf5) and after 6...Hgl or 6...Hhl White wins as in line la of diagram 309. 2) 3...Eb6 is perhaps the sim- plest draw, but it is also reasonable for Black to improve his king posi- tion by З...ФГ8 4 JLf5 Фе8, which leads to one of the standard draws. 3) З..Ле2 (the move played in the game) 4 ФГ5 Eel (another idea is 4...Ф1В running to the queenside) 5 i.d3 Ecl (5...Ф1В 6 ФГ6 Фе8! 7 JLf5 Edl! is Szen’s draw) 6 Феб (this manoeuvre sets a clever trap) Ec6+ 7 Фе5 and now Black didn’t realize that it makes a big difference if White’s king is on e5 instead of f5. He simply returned to the first rank by 7...ПС1? (7...Hb6 8 Ac4+ ФГ8! 9 Леб Фе8! 10 Фf6 Фd8 is diagram 280, while 7...Ф£8 8 JLf5 Hh6 9 Леб Ehl is also adequate), but after 8 Jlf5! White made use of the vacant f5-square to transfer his bishop to the excellent post e6, and Black lost after 8...Ф118 (8...ф£8 9 Фf6! Eel at least forces White to win diagram 276) 9 Фf6 Hc6+ 10 Леб! 1-0 (because 10...Eb6 11 Ea8+ ФЬ7 12 Hal leads to mate).
216 Secrets of Pawnless Endings In the following set of positions, we correct several errors which crept into ECE. In the first two examples, the defender had already reached Szen’s draw, but this didn’t prevent loss of the game. 316 =/= Van der Weide - Marovic Netherlands 1967 (316): Since this is diagram 279, White to play can draw by simply keeping his rook on the c-file. To hold the game he only needs to avoid 1 Zc4? Ф<13!. The game continued 1 Sc5 {ECE incorrectly claims that this move loses; however, it is true that it is not very sensible, because there is no check on the d-file after Black’s reply) *d3 2 Фе1 Zf7 3 Sc8? (this is the real losing move; 3 Sa5 would have drawn, because З...ФеЗ may be met by 4 Sa2! Ad3 5 Se2+!) JLg2! (a very good move; after З...ФеЗ? White can draw using a stalemate trick: 4 Sc2! JLd3 5 Ze2+!) 4 Zd8+ ФеЗ! 5 Ze8+ (5 Фdl Де4 is no better) JLe4! (now Black has Philidor’s position) 6 Sg8 Sc7 7 Sd8 Scl+ (Black makes no mistakes in the remainder of the game) 8 Sdl Sc2 9 Sd8 Sg2 10 Sf8 JLg6 11 Sf6 JLd3 12 Se6+ JLe4! 13 Zf6 Se2+ 14 ФП Zc2 15 Фgl Sg2+ 16 ФП Sg5 17 Фе1 £f5 0-1. 317 =/= Mesiarik - Vaisman Kikinda 1981 (317): 1 Zc5+ (once again White needs to keep his rook on the 5th rank; 1 Sg5 is the only other drawing move) Фd4 2 Sh5 (in ECE, Timman erroneously concludes that this move loses; his recommendation is 2 Zc8, which is also good) Фс4 3 Sh4+ (3 Фа5 is a simpler draw, because З...ФсЗ 4 Фа4 just restores the origi- nal situation) JLe4 and now: 1) 4 ФаЗ? (the move played in the game loses) ФеЗ! 5 Фа4 (this loses immediately; 5 Sh3+ JLd3! 6 Sh4 would have forced Black to win diagram 276) Ze5! 6 Zh3+ JLd3! 7 Sg3 Sh5 8 Ze3 Sh4+0-l. 2) 4 Фа5! Фс5 and now White must play accurately:
Rook and Bishop v Rook 217 2a) 5 Фа4? (this is the only move analysed by Timman) JLd5! 6 Фа5 Eb6 is Philidor’s win. 2b) 5 Bh8? (the rook must pre- pare to give a check on the c-file, but this is the wrong route) Ab7! (we saw this idea in the previous dia- gram) 6 Eh5+ JLd5! 7 Eh2 Eel and again White falls into Philidor’s po- sition. 2c) 5 Eh3! JLd5 (or else Ec3+) 6 Eb3! (this should be familiar from the previous diagram) JLc4 7 Eb5+! and Black’s king is pushed back. 318 =/= Smyslov - Bronstein USSR Ch 1949 (318): White is to play in this drawn position: 1 Ae3 and now: 1) l..JIh5+? (the ‘careless check’ disease, which we already saw in di- agrams 299-301, claims another vic- tim) 2 Фс4! Eh4+ (after 2...Фаб 3 Bb6+! Фа5 4 Eg6 Фа4, White can win by Philidor’s method, but here there is a faster alternative: 5 JLg5 ФаЗ 6 JLf6 Фа4 7 Egl Eh3 8 JLe7 Фа5 9 i.c5 Фаб 10 Eg7!) 3 i.d4! Фаб 4 Eb6+! Фа5 5 Eg6 Ee4 6 Egl Фаб 7 Eg7! 1-0. 2) l..JZg6 (ECE's move is ade- quate, but l...Eh8 2 Фс4 Ec8+! 3 JLc5 Фаб! leads to diagram 280 and is therefore simpler) 2 Фс5 (2 JLf4 Eg4 3 JLd6 Eh4 4 Феб Eg4 is Szen’s draw) Фаб! (2...Фа4? loses in an amazing 48 moves; the main line runs 3 Фс4! ФаЗ 4 Eal+! ФЬ2 5 JLd4+! Фс2 6 Ea2+! ФЫ 7 Eb2+! Фс1 8 Ee2! and wins as in line lb of the note to Black’s 6th move in dia- gram 294) 3 JLf4 and now: 2a) 3...Eg4? (ECE's move loses) 4 JLd6 Eh4 5 Eb8 (ECE only analy- ses 5 Феб, when 5...Фа5 is Szen’s draw) Фа7 (the threat was 6 Феб, winning as in diagram 276) 6 Eg8 (a surprising move, temporarily allow- ing Black’s king away from the edge of the board) ФЬ7 (other moves are met by Феб) 7 Eg7+ Фаб 8 JLb8 (by now this idea should be familiar; not 8 Феб? Eb4!) Eh5+ 9 Феб! Eh6+ 10 JLd6! Eh4 11 Eg8 Eh7 12 Eb8 and White wins as in diagram 276. 2b) 3..JLg2 (3...Bg8 is the only other drawing move) and White can- not avoid a check on the c-file. Timman had better luck with his analysis of the following position, which contained only relatively mi- nor inaccuracies. (319): White was to play in this position, which is basically the draw of diagram 280 shifted sideways. The game continued 1 Ef3 Eh4+ 2 Eh3 Ef4 and now: 1) 3 ФЫ? (the game continua- tion should have led to a quick loss)
218 Secrets of Pawnless Endings 319 Kneievic - Vaganian Erevan 1980 JLg3 4 Bh7 Ba4 (contrary to ECE, this preserves the win, but of course it would have been very much sim- pler to play 4...Bg4, and after 5 Bf7+ JLf4 or 5 Bh3 Bg5 6 Eh8 JLf4 White can resign) 5 Ef7+ and now: la) 5...ФГ4? (only this mistake throws away the win) 6 Ea7 (the simplest, although some other moves draw) Ed4 7 Ea4 Ч2-Ч2. lb) 5,.JLf2! 6 Bh7 Bf4 and Black wins as in diagram 278. 2) 3 Eh7? Bf3! 4 ФЫ JLd4 is di- agram 278 again. 3) 3 Eb3 (in ECE, Timman cor- rectly pointed out that this leads to a draw) Фе2 and now: 3a) 4 Bb2+? *f3! 5 Eb3+ ФеЗ! 6 ФЬЗ Ef8 is diagram 276. 3b) 4 Eh3? Bg4! 5 Eb3 (after 5 ФЫ Timman gave a complex win, but 5...ФП 6 Bh5 JLg3 wins simply as in the note to Black’s 4th move in line 1; 5 Bh8 JLg3+ 6 ФЬЗ ФfЗ! 7 Bh5 JLf4! 8 Bb5 Egl 9 Bb3+ ФеЗ! is diagram 276) ФеЗ! 6 ФЬЗ Egl! (Timman gave 6...Bg6, but this al- lows 7 ФЬ4 Ф13 8 Bb5 with Szen’s draw) 7 ФЬ2 (now 7 ФЬ4 fails to 7...ФТЗ! 8 ФЬ5 Bg5+! 9 ФЬ4 Ea5) Eg6 (this does win when the king is on h2) 8 ФЬЗ ФТЗ and wins as in dia- gram 276. 3c) 4 Фё2 Bg4+ 5 ФЬЗ! Eg6 6 ЕаЗ ФеЗ 7 ФЬ4 *f3 8 Ba5! with Szen’s draw. Having given so many examples of over-the-board players making a mess of В+Ф v B, it is only fair to end with a couple of study compos- ers doing the same thing. 320 Frit, 1918 (320): This was intended to be a White to play and win position, but in fact it is drawn. Not only did the composer get it wrong, but СЬёгоп reprinted the position without notic- ing the error. ECE not only repeated the composer’s error, but added some new ones! The composer intended 1 Фе4 (after 1 Eh8+ Ec8 2 Eh7 Ec7! White cannot make progress) and now:
Rook and Bishop v rook 219 1) 1..ЛЬ7+? (this does lose) 2 Феб! and now: la) 2..,Фа7 3 Фс5 Be7 (З...ВЬ2 4 ЕаЗ+ ФЬ8 5 *d6 Фс8 6 Bh3 ФЬ8 7 Bh8+ Фа7 8 Еа8+ and White wins the rook, but not 4 Eh8? Bb5+! drawing) 4 JLd5 Bc7+ 5 Леб! ФЬ8 6 i>d6! Eg7 7 Eh8+! Фа7 8 Фс5! Фаб 9 Ehl Фа7 10 Bal+ ФЬ8 И Еа8+! winning the rook. lb) 2..ЛЬ4 and now the quickest win is in 19 moves after 3 Eh8+ Фа7 4 Bh7+! ФЬ8 (4...Фа8 5 JLd5 ФЬ8 6 Фd6 Eb5 7 Bg7 is zugzwang; White wins after 7...Eb4 8 Egl Bb6+ 9 JLc6! Фа7 10 Фс5! as in line la) 5 JLd5 Bb2 6 Фd6 Bc2 7 Eb7+ Фс8 8 Ea7 with Philidor’s position. In- stead of this, Chdron gives the faulty line 3 JLd5 (extending the win to 22 moves) Eb2 4 Bh7 (now up to 24 moves; 4 JLe4 is the correct move, going into reverse gear) Bf2 5 Bb7+ (30 moves) Фа8 6 Bb4 (38 moves), so in just four moves White has dou- bled the length of the win. Now Charon gives the blunder 6...fif6+? 7 Фс7+ Фа7 8 JLc4 followed by mate, but after the correct 6...Bc2+ 7 JLc4, we have to refer to diagram 287 in order to win. 1c) 2..Лс7+ (Chdron did not mention this move, which is the best defence) 3 Фd6! Ef7 (ECE gives this move, but the most resilient continu- ation is 3...Bc8, when White wins by 4 Ba3! Bd8+ 5 Феб! Edl 6 Eb3+ Фс8 7 JLd5! Фd8 8 Фd6 with Phil- idor’s position) and now ECE con- tinues 4 JLd5? (4 Bh8+! Фа7 5 Фс5 Фаб 6 Ehl Фа7 7 Bal+ ФЬ8 8 Ba8+! is the correct line) Bf6+! 5 Фd7, with the evaluation +-, but Black can draw by 5...Фа7 6 Фс7 Фаб, or even 5...Bg6. 2) 1..ЛсЗ! (this excellent stale- mate trick activates the rook) 2 Bh8+ (or else Black checks on b3) Bc8 3 Bh7 Bc7 (in fact 3...Bc3 is also a draw) 4 Eh8+ Bc8 5 Eh2 Bc7 and White is not making progress. 321 D.Gurgenidze, 1987 Sp. Pr., Chavchavadze Mem. Tny. (321): The composer intended that White to play should win by 1 c7 Bh2! (after l...Bg2or l...Ee2, White wins by 2 JLe6, removing the stale- mate possibility, and the pawn pro- motes) 2 c8B (not 2 c8W? Bc2+!, and other moves allow Black to draw by 2...Bh8) Фаб? 3 JLe4! Bh5+. 4 JLd5! Bh7 5 Bg8 (5 Be8 is one move faster) Be7 6 Bh8 (zugzwang) Bc7+ 7 i.c6! Bg7 (or 7...Be7 8 Ehl Фа7 9 Eal+ ФЬ8 10 Фd6 Ea7 11 Ebl+ Фс8 12 Bfl) 8 Ehl Фа7 9 Eal+ ФЬ8 10 Ea8+! picking up Black’s rook. Unfortunately the whole study collapses on move two, because
220 Secrets of Pawnless Endings Black can draw by 2...Д116! 3 Да8+ (3 Ae4 Фа4! 4 Ad5 ФаЗ! 5 ДЬ8 ДЬЗ! is diagram 281, while 3 ДЬ8 is met by З...Фа4!) Даб 4 ДЬ8 Фа4! 5 ДЬ1 (5 Ad3 Да7) ДЬ6 and Black es- capes. 7.5: Tactical ideas After so much heavy analysis, we take a short break to look at a few simple tactical ideas which may arise in Д+Avfi. None of these are more than a few moves deep, so readers may temporarily put their headache pills aside. The formation of a JL+Д battery against the opposing king is a com- mon theme: 322 Bianchetti, 1925 L’Italia Schacchistica (322): White wins by 1 Ab2! and the only way Black can avoid imme- diate loss of the rook is by 1... ДЬ6 or l...flf8. Since the position is sym- metrical we need only analyse one of these: l...flf8 2 Дс7+! Фg8 3 fig7+! ФЬ8 4 Фа2! and now we have a posi- tion of reciprocal zugzwang. It is ob- vious that Black to play loses his rook at once. White to play cannot win because any king or bishop move exposes his king to checks, for example JLc3 is met by ...flf2+! and if then ФЬЗ, Black replies with ...ДЬ2+!. This idea doesn’t always win, however, because sometimes there is a stalemate defence. Pogosiants, 1967 (end of study) 5th Pr., Armenian Central Chess Club (323): Black to play cannot win, even though l...JLh7 appears very strong, because White can reply 2 fif2! ФеЗ (2...fig2+ 3 Фа1! and 2...ДЬ6+ 3 Фс1! ФсЗ 4 Дс2+! also lead to stalemate) 3 ДЬ2! ДЬ6+ 4 Фа1! fixh2 stalemate. Finally, it is possible to go one layer deeper. The stalemate defence itself may not work if the superior side’s king is in a dominating posi- tion.
rook and Bishop v Rook 221 324 +/= Archakov, 1982 ‘EG’ (324): Black to play draws by l...Ee6+!, while White to play wins by 1 Ec7+! ФЬ8 2 JLg3! (setting up the battery) Ee6+ (the stalemate de- fence) 3 Sc6+! Фа8 4 Ad6! (the refutation; White can decline the of- fered rook and launch a mating at- tack) Se8 5 Ecl and Black’s king perishes. We have already seen many ways in which the defender saves himself by stalemate, but here is one which we have not covered until now. (325): Black is to play and after 1...Фс7 (1...Фсб 2 Eh6+! Фс7 3 Eb6 draws, although 3 Ef6 and 3 Фаб are equally effective) White can only escape by 2 Фаб! Ea4+ (the variations 2..Ad3+ 3 Фа5! Exh4 and 2...JLb7+ 3 Фа7! Exh4 also give rise to stalemate) 3 ФЬ5! JLc6+ 4 Фс5! Exh4 stalemate. The following study neatly com- bines Gurgenidze’s underpromotion (from the unsound diagram 321) with stalemate avoidance. 325 =/= Kuznetsov and Yakimchik, 1969 4th Pr., ‘64 ’ (end of study) 326 Kalandadze, 1970 (end of study) 3rd Pr., Magyar Sakk^let (326): White to play wins by. 1 f8E! (not 1 f8W? Hf4+! forcing stale- mate) Ee8 (the only chance, because 1 ...Eh 4 2 Af4 Sh3 3 i>f2 Bh4 4 Ef7 puts Black in zugzwang, and after 4...Bh3 5 Ee7 mate is unavoidable) 2 Ef2! (2 Ef5? and 2 Bf4? are met by 2...Ef8!, while 2 Ef3? ЕеЗ! 3 Ef4 Ef3+! is another stalemate) Ee5
222 Secrets of Pawnless Endings (Black makes a second attempt to force stalemate; 2...Bh8 3 fif3! Ef8 4 JLf4! Hh8 5 Eg3 is also decisive) 3 JLd6 (3 JLb8 is equally effective, but there are no other winning moves) Hh5 (3...Bf5 4 JLf4! Bh5 5 Eg2) 4 Ef3! (an important move; after 4 JLf4? Eh3! Black manages to play ...Ef3 himself) Ef5 (4...Ш16 5 JLf4 Eh4 6 *f2 Eh8 7 Ee3) 5 JLf4! Bh5 6 Eg3 with a speedy mate. Finally, one shouldn’t overlook the possibility of sacrificing the bishop: Original (327): White to play wins only by 1 JLd4+! and now l...Exd4+ 2 Фс2! Ea4 3 ФЬЗ! wins the rook, while 1...Фа2 2 Фс2! Ea5 3 i.c3 Баб 4 ЛЬ4 Фа1 5 ЕсЗ Фа2 6 Ec5 Ea8 (6...Фа1 7 ФЬЗ ФЫ 8 Ed5 Есб 9 Лс5) 7 ВЬ5 Ваб 8 ВЬ8 Еа7 9 ЛсЗ, followed by Ebl, is a straightforward line. This leaves 1...ФЫ, when the variation 2 Ecl+! Фа2 3 ФсЗ! Bb4 (an ingenious defence, but ultimately unavailing) 4 Ec2+! ФЫ 5 Eh2 Eb7 6 ФdЗ Bc7 7 Eb2+ Фс1 8 Ea2 leads to Philidor’s win. 7.6 The 17 reciprocal zugzwangs As usual, these positions range from the mundane to the truly unbeliev- able. So far as I know, only one of these 17 positions had been explic- itly claimed as reciprocal zugzwang by a pre-computer analyst (see zz2 below), although it is possible Zyto- gorsky was aware that zz 16 falls into this category. We will tackle them in order of in- creasing length (with Black to play). zzl: WФc4,Bc2,JLbЗ v ВФаЗ, Eal (1 move) Black to play must either allow mate in one or give up the rook by l...Bcl. When White is to play, a rook move along the rank allows a check on cl, while 1 ФсЗ also fails after l...Ecl!. zz2: WФa2,Bg7,±b2 v ВФЬ8, Ef8 (2 moves) This is Bianchetti’s zugzwang (see diagram 322). zz3: WФaЗ,Bb6,JLd8 v ВФа5, Ec5 (2 moves) Black to play loses his rook im- mediately (l...Ec7 2 Eh6 or l...Ec8 2 Bb8+!). White to play has no rea- sonable moves at all (1 ФЬЗ Eb5+! or 1 Фа2 Фа4). zz4: WФa2,Hb2,±d2 v ВФа4, Edl (3 moves) Once again, Black to move loses his rook straight away, for example 1...ЕЫ 2 Bb4+! Фа5 3 Eh4+. With White to play, 1 JLc3 is the only rea- sonable move, but then l...Ed3! 2
Rook and bishop v Rook 223 Eb4+ Фа5 3 ФЬЗ Фаб! saves the day for Black. zzS: W<ic3,Sb7,±c8 v ВФаб, Ea4 (4 moves) Black to move loses after l...Ba5 (1...Фа5 2 Па7+! ФЬ5 3 Ad7+!) 2 Фс4! Еа4+ 3 Фс5 Еа5+ 4 Eb5+ and the rook falls. With White to move, the lines 1 ФЬЗ Sal! 2 ФЬ2 Sa5! and 1 <S?d3 Фа5! are easy draws. The remaining 12 positions are all complicated enough to deserve a dia- gram. zz6 (8 moves) (328): Suppose that Black is to move. Then 1...Ва4 (l...Ea8 2 Фс2 Ea2+ 3 Фс1 Sb2 4 Sa3+! mates, as does l...Bb2 2 НаЗ+! ФЫ 3 JLd3+! Фс1 4 Eal+!) 2 Eb8 Sa3+ (2...Ea7 3 Фс2) 3 ЛЬЗ Па7 4 Eh8 Ec7+ 5 JLc4! Eb7 6 Ea8+ ФЫ 7 i.d3+ leads to mate. With White to play: 1) 1 JLdS Ee2! (Black wants to activate his rook, but he must prevent 2 Ea3+ followed by 3 JLe4+) 2 Ea3+ (2 Ac4 Ea2!) ФЫ! 3 Ac4 Ec2+! draws. 2) 1 Jle6Ef2!, 1 JLf7Eg2! and 1 JLg8 Bh2! follow exactly the same logic. 3) 1 JLd3 Eb2! and 1 JLb5 Eb2! draw by perpetual attack against White’s rook. 4) 1 Eb4 (or further up the b-file) Ec2+! 2 ФdЗ Ec3+ draws as in dia- gram 309. 329 =/- zz7 (13 moves) (329): Black to play can only move his rook. The best defence is l...Eh3 (to prevent JLd3; l...Eh2 2 i.d3 Ea2 3 JLb5 Ea3 4 Ec4 Eal 5 Eb4 Ea3 6 Ebl Ea2 7 Ac6 followed by Eb8 wins more easily) 2 Ec5 Фаб (2...Ea3 3 Jld3 wins as in the previ- ous note) 3 Ae4 (threatening jLb7+) Eb3 (3...Ea3 4 Af5 puts Black in zugzwang; after 4...Фа7 or 4...fla2, White plays his bishop to d3 and wins as in the earlier note) 4 Ad5 (now Black cannot prevent the bishop be- ing transferred to the fl-аб diago- nal) Ea3 5 Лс4+ Фа7 6 JLd3 Ea2 7
224 Secrets of Pawnless Endings JLb5 and play transposes into the first note. With White to play the most test- ing move is 1 Ed6 (other rook moves can be met in the same way), which covers d3 and so cuts out the possible defence l...Eh3. The only way to draw is by 1...ЕЫ! (l...Eh4?2 JLd3! cuts out the check on c4), heading for cl, and leading to Szen’s draw after 2 i.e4 Ecl+ 3 JLc6 Фаб 4 Ed4 Ec5! 5 Ee4 Eh5. 330 zz8 (16 moves) (330): It is hard to imagine that this innocuous position is really re- ciprocal zugzwang. The logic gradu- ally becomes apparent if we examine the alternatives with Black to move: Bl) 1...ФаЗ 2 JLd3! (threatening to force Philidor’s position by ФеЗ) Фа4 (2...Есб 3 JLc4! Eg6 4 ФеЗ Eg3+ 5 JLd3! wins as in diagram 276) 3 JLc4 reaches the key position for understanding this ending. White intends to play either ФеЗ or Фс5, depending on whether Black’s rook is in the top or bottom half of the board. Black’s defence will involve trying to reach diagram 280, but we know from the discussion after dia- gram 280 that Black’s rook needs sufficient space to draw by this method. In fact, if Black’s rook ends up in the lower half of the board then he loses, but in the upper half there is enough room to draw. This explains why 3 JLc4 is so unpleasant, because the only decent moves to stay in the top half of the board, 3...Ec6 and 3...Ee8, both fail to JLb5+ (moving elsewhere along the third rank loses to Фс5). Therefore, White wins after 3...Eh6 4 Фс5 ФаЗ 5 Eb3+! Фа4 6 Eg3 or 3...Eel 4Фс5! ФаЗ 5 Eb3+! Фа4 6 Eh3 Ecl 7 Eh8 ФаЗ 8 Eh2! Eal 9 ФЬ5 Eb3+ 10 Фа5 Eal 11 Eg2. B2) 1...Ф&5 2 Фс5! Фаб 3 Ad5 Eg6 4 Eb8 Фа5 with Philidor’s posi- tion. B3) l..JIh6(l...Eg6, l...Ef6and l...Ea6 lose the same way) 2 Фс4! Фа5 (2...ФаЗ 3 ФеЗ! Eh3+ 4 JLd3! as before) 3 Фс5! Фаб 4 Eb8 and we have arrived at Philidor again. In order to win, White must move his king to the c-file with a mate threat, thereby gaining time. At the moment this is impossible, because Фс4 can be met by ...Exe4+. But if Black moves his rook off the e-file, then Фс4 wins, and if Black’s king moves, then White gets the chance to do the same thing by ФеЗ or Фс5 at some stage. The only way Black could draw would be to maintain the attack on White’s bishop, but 1 ...Ee8 fails to the tactical point 2 JLc6+, forking king and rook.
Rook and Bishop v Rook 225 Now suppose that White is to Play: Wl) 1 Ad5 Sei! (not l...Hg6? 2 Фс5, and not l...He2? 2 Ac4 and White wins because ...Hc2 is impos- sible) 2 Ac4 (2 Фс5 Hcl+! 3 Ac4 ФаЗ! draws) Bel 3 Фс5 ФаЗ! 4 Hb3+ Фа2! (4...Фа4? 5 Hh3 wins because there is not enough space for Black’s rook - see the comments af- ter diagram 280) and Black escapes. W2) 1 Hb8 He7 (in fact, 1...ФаЗ draws as well, because after 2 Ad3 Фа4! 3 Ac4 He7! Black has enough space to stay in the top half of the board) and Black has no problems. It is possible to make an attractive endgame study from this reciprocal zugzwang. Фа4 10 Ab7 Фа5 11 Hbl are hope- less for Black; 1...Фа2 is even worse, losing directly after 2 ФсЗ Фа1 3 Ad5 Ha3+ 4 Ab3! Па8 5 Hh5 Пс8+ 6 Ас4!) and now: 1)2 Hbl? Hh6! (the only move; after 2...Неб 3 Hb7! Black falls into zz8, while 2...Hf6 loses since Black cannot play his rook to the third rank at move five) 3 Фс4 Фа5! 4 Фс5 Фа4! 5 Ad5 Hh3! and we have Szen’s draw. 2) 2Hb7?He6!iszz8withWhite to move. 3) 2 Hb8! Неб (2...Hh6 3 Фс4! Фа5 4Фс5! Фа4 5 Ad5! Фа5 6 НЬЗ is Philidor’s win) 3 Hb7! and the tempo-losing rook manoeuvre has passed the move to Black, so White wins. 331 +/= 332 =/- zz9 (17 moves) Nunn, 1991 New in Chess (331): The winning line is 1 Hb5+! Фа4 (after 1...ФаЗ White wins by 2 ФсЗ! Ha7 3 Асб Наб 4 Ad7 Ha7 5 Hb6 Hc7+ 6 Асб! Фа2 7 Фс2 and now both 7...ФаЗ 8 Sb3+ Фа2 9 НсЗ and 7...Ha7 8 Ad5+ ФаЗ 9 Hb3+ (332): If Black is to play, there are two alternatives: 1) 1...ФаЗ 2 Ad4 He2 (2...Фа4 3 Hh 1 Фа5 4 Hh6! Ha4+ 5 Фс5! ПаЗ 6 Hh8 wins) 3 Hal+ Ha2 4 Hel (this manoeuvre prevents Black moving
226 Secrets of Pawnless endings to e2, and later his rook will be too far away from his king) Ec2+ (or 4...Ш12 5 Be8) 5 Ac3! Hh2 6 Be8 Фа2 7 Ea8+ ФЫ 8 Sal+! and wins the rook. 2) l..JXa3 2 Ad4! Eb3 (2...Фа5 3 Shi) 3 Eal+! Ea3 4 Ebl with Phil- idor’s win. White to play can try 1 Ac7 (1 ВеЗ Sb2 2 Jlc5 Bb4+, 1 Фс5 Фа5! and 1 Ad4 Фа5! 2 Sbl Sc2+! are also drawn) Sa3! (1...ФаЗ? 2 Ae5! Se2 3 Ad4 wins as in line 1 above) 2 Ad6 (after 2 Ae5 Фа5! the bishop does not control b6, so White must lose time by 3 Ad4, when 3...Sa2 4 Sbl Sc2+! draws) Sa2! 3 Ac5 (3 Ab4 Sc2+!) Фа5! 4 Ad4 Фаб! (not 4...Ea4+? 5 Фс5! Фаб 6 Феб! and White will win) 5 Sbl Sc2+, but Black escapes. zzlO (18 moves) (333): With Black to play, l...Sh8 (l...Sg8 is identical) 2 Ab4! Sh7+ 3 Феб! Sh6+ 4 Ad6! Sh4 5 Se8 Sh7 6 Sb8 reaches diagram 276. White to play has no reasonable moves, since he has no choice but to free Black’s king. zzll (21 moves) (334): When Black is to move, 1...Фа4 (l...Eh8 2 Sc6! Eg8 3 i.d4 Ea8 4 Фс5 Eb8 5 Bc7 Ea8 6 Eh7 Фаб 7 ФЬ4 Eb8+ 8 Фа4 wins, as does 1...Фаб 2 Ac5 Фа5 3 Eh7 as before) 2 JLc5! Ea5 (2...Фа5 3 Eh7 is the last note) 3 Ab6! (3 Ad4? Ea6! draws) Ea8 (3...Ea6 4 Bh7 ФаЗ 5 i.c5+ ФЬ2 6 Bh2+ Фс1 7 ФеЗ Фdl 8 ФdЗ! Фс1 9 Ad4 ЕаЗ+ 10АсЗ!ФЫ 11 ЕЫ+Фа2 12Фс2 mates) 3 Eh7 ФаЗ 4 Bh2! Ва4+ 5 ФеЗ! Bg4 6 JLd4 Фа4 (6...Bg3+ 7 Фс4! Фа4 transposes) 7 Фс4 Bg3 8 Eh8 Eg5 9 Eb8 is Philidor’s win. When White moves first, the lines 1 Eh7 Ec8+! 2 Ac5 Ec6! 3 Eg7 Eh6,1 ±c5 Ea6! and I ±d4 Ea6! all lead to Szen’s draw, while 1 Фс5 Фа4 is safe for Black. zzll: WФbЗ,Eb8,i.eЗ v ВФЫ, Ec7 (26 moves) We have already analysed this as diagram 286.
rook and Bishop v Rook 227 zz!3 (32 moves) (335): This is certainly one of the more remarkable of the zugzwang positions. All the pieces seem free to move, but in fact they are held in place by invisible shackles. Suppose first that Black is to move: Bl) 2 ФЬЗ Hf3+ (after 2...Bb6+ 3 ФеЗ, White wins by 3...Ha6 4 Ла4 Bb6 5 ЛЬЗ Bc6+ 6 Лс4 Bg5 7 Bd5 or З...ВЫ 4 Ла4 Bb2 5 Bd8 Bb7 6 ЛЬЗ Bc7+ 7 Лс4! Bb7 8 Ba8+) 3 Фс2! and now: Bia) З...Ф&24 ЛЬ5 ФаЗ (4...Ef5 5 ФсЗ+ ФаЗ 6 Edl Bf3+ 7 Л<13! is similar) 5 Ed4! Bf2+ 6 ФеЗ! Ef3+ 7 JLd3 Bf8 8 Ed7 Ef4 9 Bb7 winning as in diagram 276. Bib) 3...Efl 4 Лсб Eel (or 4...Bcl+ 5 ФЬЗ! ВЫ+ 6ФаЗ Bb2 7 Bd7 and now 7...Ba2+ loses to 8 ФЬЗ! Bb2+ 9 ФеЗ !, so Black can only pass on the b-file, when White wins by diagram 277) 5 Л13 (threat- ening Ed8) Ecl+ (5...Ee5 6 Ле2! Фа2 7 ФсЗ+ ФаЗ 8 Лс4! ВеЗ+ 9 JLd3! Bh3 10 Edl is diagram 276, while 5...Be8 6 Bd7 Bc8+ 7 ФЬЗ! wins immediately) 6 ФЬЗ! Bbl+ 7 ФаЗ! Eb8 (other squares are the same) 8 Edl + Bbl and now White’s aim is to reach the analysis of dia- gram 277 or diagram 278. This can be achieved by 9 Bd4 (which pre- vents Black opposing rooks on the b-file because ...Bb4 allows ФхЬ4) and now 9..JZb8 10 Лсб ФЫ 11 Ec4! Фа1 12 Ла4 is diagram 278 (although h2 Bc5 is faster), while 9..ЛЬ2 10 Лсб Bbl 11 Bd2 Bb2 12 Bd7 is the note to Black’s 4th move above. 9..ЛЬ5 10 Лсб and 9..ЛЬ6 10 Лсб are no different. Bic) З..ДГ44 Ac6 Bh4 (4..Фа2 5 ФсЗ+ ФаЗ 6 Bd8 wins) 5 Af3 Фа2 6 ФсЗ+ ФаЗ 7 Bd5! Bb4 8 Ea5+! Ba4 9 Bb5 Bh4 10 Ле2 Eh3+ 11 Ad3! with diagram 276. B2) l..JXg8 2 Леб! Bg7 (2...Ef8 3 Лс4 is similar) 3 Лс4 Bb7+ 4 ФеЗ! Bb25 Bdl+! Bbl 6Bd3 Bcl+ (6...ВЫ 7 ЛЬЗ ФЫ 8 Лс2+ Фс1 9 Ed2 Eel 10 Ad3! Be7 11 Ba2 is dia- gram 276) 7 ФЬЗ! Ehl 8 ФаЗ Bbl 9 Bh3 (Black is in zugzwang) Ecl (9...Bb7 10 ЛЬЗ Ea7+ 11 ФЬ4 leads to diagram 276 after ll...Bc7 12 Лс4 ФЬ2 13 Bh2+! Фс1 14 ФеЗ or П...ФЬ2 12 Bh2+! Фс1 13 ФеЗ!) 10 ЕеЗ ВЫ 11 Лс15 Bel 12 Лсб is the position after White’s 9th move in diagram 278. B3) (l...Bg7 2 Леб! Egl 3 Лс4 is identical) 2 Ла4 Efl 3 ЛЬЗ Eel 4 Лс4 Bel 5 ФЬЗ ВЫ+ 6 ФаЗ Eb2 7 Edl+! Bbl 8 Ed3 Ecl 9 ЕеЗ as in line B2. B4) l.dIg32Ab5!Bh3(theline 2...ФЫ 3 Ad3+! Фс1 4ФсЗ! Bg7 5 Bh2 is diagram 276) 3 ЛdЗ Bh2 4
228 Secrets of Pawnless Endings Hdl+ Фа2 (4...ФЬ2 5 Ebl+! Фа2 6 ФсЗ! ФаЗ wins as in the latter stages of diagram 276) 5 ФсЗ! ФаЗ is dia- gram 276 yet again. B5) l..JXg5 2 i.b5 ФЫ (other- wise White wins as in line B4) 3 JLc4 Фс 14 ФсЗ! Eg3+ 5 JLd3! as before. B6) 1..Ла6 (l...Bb6+2 ФсЗ and 1 ...Eh6 2 ФсЗ Даб transpose) 2 ФЬЗ Eb6+ 3 ФсЗ Еаб 4 i.a4 Eb6 5 ЛЬЗ Ес6+ 6 JLc4 ЕЬ6 7 Ed5 wins. We can see from this analysis that there are three basic plans for White. He can either try to play ФЬЗ (or ФсЗ), but this only works if Black’s rook is deprived of an important check by White’s bishop. Secondly, he can try to play Jkb5-c4, and thirdly he can play JLe6-c4, both with the aim of giving shelter to his king. It turns out that Black’s rook is ideally situated on g6 to counter all these plans, and when he is to move some- thing has to give (of course, Black cannot move his king). When White is to play: Wl) 1 JLbS Eb6! (this is why JLb5 was the reply to l...Eg5 and l...Eg3 above; Black had forfeited the pin from behind) and White can- not continue his attack, since even 2 ФаЗ is impossible. W2) 11а4ФЫ! 2 JLb3 (2 JLb5 Eb6! is still important, which ex- plains why l...Sgl could be met by 2 JLa4) Eg3 3 ФаЗ ЕсЗ! with a stan- dard draw by diagram 280. W3) 1 ФЬЗ Eg3+! 2 Фс2 Eg5! (the reason why 1 ...Hf6 lost to 1 Фс2 was because the square f5 was out of bounds) 3 Ah3 (3 JLe6 Eg2! is an immediate draw, while 3 JLc6 Фа2! 4 ФсЗ+ ФаЗ! is a draw because White has to counter the threat of ...Ec5+, in contrast to line Bic above) Фа2! 4 ФсЗ+ ФаЗ! 5 JLfl Eb5! 6 JLc4 Eb3+! draws. W4) 1 Ee2 Eg3 2 JLb5 (2 JLf5 Eb3+) ФЫ! and White lacks the crucial move JLd3+. 336 =/- zzl4 (34 moves) (336): Another puzzler! The Black to play analysis runs: Bl) 2 JLe3! Ef3 (2...Ef7 3 Ea5+ ФЫ 4 JLd4 Eh7 5 Eb5+ Фа2 6 Eb2+ transposes to line 4a of diagram 291) 3 Eb2+! Фа1 (З...ФаЗ 4 Ee2 Eh3 5 Фс4 wins) 4 Ee2! wins because Black’s rook cannot reach any of the marked squares in dia- gram 287. B2) 1„Ле8 2 Ea5+! ФЫ 3 JLe5! Hf8 (3...Ed8 4 Eb5+ Фс1 5 i.d4 Фdl 6 ФdЗ! is Philidor’s win) 4 JLd4! Eg8 5 Eb5+! Фа2 6 Eb2+! leads to the same position as the pre- vious line. B3) l..Jg22±e5Sf2(2...He23 Фс4 ЕеЗ 4 JLc3 Ee4+ 5 Jkd4! Ее2 6
Rook and Bishop v rook 229 Eh5 Bc2+ 7 ЛсЗ! ФЫ 8 *d3! Bg2 9 Bhl+! Фа2 10 Фс4! ФаЗ 11 Bh8 wins) 3 JLd4 and now both 3...Bf3+ 4 Фс4! Bg3 5 Bb2+ and 3...Bg2 4 Фс4 Bg3 5 Bb2+ lead to Philidor’s win. B4) 1..Ле4 2 Ba5+! ФЫ 3 Ле5 Ве2 4 Bb5+! Фа2 5 Фс4 ВеЗ 6 АсЗ Ве4+ 7 Ad4! winning as in line B3. B5) 1..Ле6 2 Ba5+! ФЫ 3 Де5 Bb6 (3...Bh6 4 ФdЗ) 4 ФdЗ Фс1 5 ЛсЗ Eb8 6 Bh5 wins. B6) 1..Ле7 2 Фс2 Ва7 3 ВЬ2+ Фа1 4 ВЬ1+ Фа2 5 Ле5, 1..Ле1 2 Фс2 ФаЗ 3 Ва5+! ФЬ4 4 JLd2+! and 1...Фа12 JLd2 Ее8 3 Фс2 are trivial. So why do Black’s rook moves weaken his position? White’s main plan is to transfer his bishop to the long diagonal. However, the straight- forward 1 Ле5 doesn’t win because l...Be3+! 2 Фс4 Eb3! transposes to diagram 285. Nor does 1 Ha5+ ФЫ 2 Ae5 help, because when Black’s rook is on the second rank he can easily defend by 2...Ec2+ 3 ФЬЗ Eb2+!. But if the rook goes to the other side of e5, then Ea5+ and Ле5 does win, because Black no longer has the ...Be3+ and ...Bb3 defence. Rook moves along the rank are re- stricted to ...Eg2 and ...Ef2. The for- mer fails because there is no check on g3, while the latter allows an intri- cate win, based on diagram 287, in which the rook proves to be poorly placed on the f-file. Other than the two lines given above, there aren’t many choices for White when he is to move. 1 JLd2 Be4 (or l...Bh2 2 Фс2 Eh3!, with Lolli’s draw) 2 Фс2 ФаЗ is Szen’s draw, 1 JLgS Ee6 activates the rook and threatens 2...Есб+ (1 Ag7 Ee7 is similar), 1 Bh5 (or 1 Eg5) Eb2! prepares checks on the b-file and fi- nally 1 Eb6 Ee8 2 Ea6+ ФЫ de- prives White of the move Ле5. (337): Here the reciprocal zug- zwang is a little less surprising, if only because Black’s king is firmly locked in a box. With Black to play: 1) 1..ЛЬ8 2 Ab7! (threatening ФеЗ) Eh8 (2...Be8 may be met the same way, but in this case White can also win more quickly by 3 Ae4) 3 Лаб! (White has freed his pieces from the attack of Black’s rook and again threatens ФеЗ, with his bishop ready to interpose on c4 or d3, de- pending on Black’s check; the imme- diate 3 ФеЗ? allows З...Ш13+! 4 Фс2 Bh2+! 5 Фс1 Фа2!, and Black es- capes) Ehl (the only defence is to find a check which is not shielded by the bishop, so Black’s rook heads for cl) 4 ФеЗ! Bcl+ (4...Sbl 5 Bh6 Bcl+ 6 ФЬЗ! ВЫ+ 7 Фс2 Eb2+ 8
230 Secrets of Pawnless Endings ФеЗ! Ebl 9 Eh5 Bcl+ 10 ФЬЗ! ВЫ+ 11 Фс2 Bb2+ 12 ФеЗ! and wins) 5 Фд2! and now: la) 5..Лс5 (even this inferior de- fence forces a sequence of unique moves by White) 6 Bb4! (preparing JLc4) Фа2 7 JLc4+! ФаЗ 8 ФеЗ! Eg5 9 Ebl! Bg3+ 10 JLd3!, leading to di- agram 276. lb) 5..Лс4 (the second black rook sacrifice is the best defence, not because it blocks the bishop, but be- cause it prevents White’s rook mov- ing to the optimum square b4, which would support a future JLc4) 6 Eb3! (after 6 Ф<13 Ес 1 White has to return by Фd2 in order to maintain the win; the move played lifts the stalemate and so threatens to take Black’s rook) Bc6 (6...Ea4 7 Ad3 Ea2+ 8 JLc2! Bb2 9 Ba3+! Ea2 10 Bc3 Ba8 И Фс1! wins as in diagram 278, while other moves on the c-file allow White to continue with his plan of Bb4 and JLc4) 7 JLb5! (gaining a vi- tal tempo; now 7...Bc5 8 Bb4! Фа2 9 JLc4+! wins as in line la, so Black has to move his rook along the rank) Bh6 (7...Bg6 is the same) 8 ФеЗ (all White’s .previous moves have been absolutely unique, but here White has a small degree of flexibility since he can invert the order of this and the following move) Eh2 (preparing a stalemate defence) 9 Bb4! Bb2 (Black’s third rook sacrifice is the only attempt to play on; 9...Ea2 10 i.a4 Bb2 11 Bh4 Bb8 12 JLb3 and 9...Bg2 10 Be4 are quickly decisive) 10 Ba4+! Ba2 11 Be4 (White’s win- ning path is no longer unique; here he may win with 11 Bd4,11 Be4,11 Bf4, 11 Bg4 or 11 Eh4 although, as we shall see, only 11 Ed4 and 11 Be4 win in the minimum time) Ba3+ 12 Фс2! Ba2+ 13 Фс1! Bh2 (if White had played 11 Bg4, for example, then Black would be able to delay the end by 13...Bg2, when White would have to reply with 14 Ba4+ followed by Bd4/e4 in order to win, because Black cannot oppose rooks ond2ande2) 14Be3Bg2(14...Bhl+ 15 Фс2! Eh2+ 16 ФеЗ Bb2 17 JLa4 Bb8 18 JLb3 wins much more quickly) 15 JLa4 (the bishop is head- ing for c2) Bb2 (the rook crosses the c2-square to avoid being cut off; 15...Eh2 16 i.c2 Ehl+ 17 JLdl! Фа2 18 Be2+ Фа1 19 Be5 wins as in diagram 277, while 15...Be2 16 Ed3 doesn’t help) 16 Bd3 (if Black moves his rook to the right, then it is cut off by JLc2, while 16...Ba2 17 Ed4 Eb2 18 JLa4 leads to diagram 277, so Black moves his king) Фа2 17 JLc2! Фа1 18 ВаЗ+! Ea2 19 ВсЗ Ba8 20 JLe4 and we have transposed to the position after White’s 7th move in diagram 278. 2) l..JZh8 (l...Bc8 and l...Ee8 are also met by 2 Лс4) 2 Лс4! Ehl (2...Eh2 3 Ba6+ ФЫ 4 JLd3+! Фс1 5 Bal+! ФЬ2 6 Bbl+! ФаЗ 7 ФеЗ! is diagram 276) 3 Ba6+ ФЬ2 (З...ФЫ 4 JLd3+ ФЬ2 5 Bb6+! ФаЗ 6 ФеЗ! leads to diagram 276) 4 Ba2+! ФЫ 5 Bf2 Bel (5...ФС1 6 i.d3! Egl 7 Ba2! Bg7 8 ФеЗ! Bc7+ 9 JLc4! is di- agram 276 yet again) 6 Bg2 (putting Black in zugzwang) Фа1 7 JLd3 Bc7 8 i.c4 Bb7 9 Ba2+ ФЫ 10 ФеЗ! Фс 1 with that same old diagram 276 again.
Rook and Bishop v Rook 231 3) l..JId7 2 Eb5! (White intends ФсЗ, and Black has lost his stale- mate defence because 2...Eb7 may be answered by 3 ЛхЬ7) Eh7 (other moves are also met by Лс4) 3 Лс4 Ehl 4 Ea5+ and White wins as in line 2. When White is to play, he has to disturb the delicate balance which enables him to win in line 1, for ex- ample 1 Eb4 Bb8 2 ЛЬ7 Eh8! draws because 3 Лаб allows ...Sh4+, and 1 Bb5 Bb8! 2 ЛЬ7 Bh8 3 Лаб Bh4+ draws because the rook obstructs the bishop. 1 Eb7 and 1 Bb3 are like- wise met by l...Eb8. It is possible to construct a tricky endgame study from zzl5, i.e. W'4’c4, Eb6,Ad5 v ВФа2,Еб8 (Nunn, New in Chess, 1991). White to play wins by 1 Фс5+! (not 1 Фd4+? Фа1! and White is in zugzwang) Фа1 (1...ФаЗ loses immediately after 2 Eb3+! Фа4 3 Eh3) 2 Ф64!, and now Black is in zugzwang. zzl6: WФbЗ,Eb5,Лf4 v ВФЫ, Ec6 (45 moves) This is Zytogorsky’s zugzwang (diagram 292). (338): The final, longest, recipro- cal zugzwang is also far from straightforward. Suppose that Black moves first: Bl) 1...ФЬ2 2 Ad4+! ФЫ 3 Eh 1-t-! Фс2 4 Bh2+! ФЫ (4...Фд1 5 ФdЗ! is Philidor’s win) 5 Ф^З Ec7 6 Eb2+ Фс1 7 Ba2 is Philidor again. B2) l...Eb8 2 Лс5+! Фа2 (or 2...ФЬ2 3 Ad4+! and as in line 1)3 Ea6+! ФЫ (З...ФЬ2 4 Ad4+! is the same) 4 Ad4! Фс2 (4...Eg8 5 Bb6+ Фс2 6 Eb2+! Фс1 7 Ee2! transposes zzl7 (49 moves) into the main line) 5 Ea2+! ФЫ (5...Фб1 бФбЗ!) 6flf2! (as we shall see, it is essential to prevent Black’s rook occupying the f-file, so that 6 Bh2?, for example, is answered by 6...Ef8!) Eg8 (otherwise White wins by playing ФdЗ) 7 Bb2+! Фс1 8 Ee2! (now White threatens 9 ФсЗ, meeting 9...Eg3+ by 10 ЛеЗ+ Фdl 11 ФdЗ and 9...ФЫ by 10 Bb2+, transposing to line 4a of diagram 291; therefore, Black has to improve his position) Eg4 (8«..ФЬ1 9 ФсЗ! Eg3+ 10 ЛеЗ! transposes in the same way as the main line) 9 Ф<13! (9 ФсЗ? Фdl! draws) transposing into line la to the note to Black’s 6th move in diagram 294. Now we can see why it was so im- portant to prevent 6...Ef8 by Black. The line from diagram 294 referred to above continues 9...Eg3+ 10 ЛеЗ+! ФЫ 11 ФсЗ! Eg8 and now White can win either by 12 Af4, or (as given in diagram 294) 12 Eb2+ Фа1 13 Bh2 ФЫ 14 Af4. In both cases the move Af4 is indispensable,
232 Secrets of Pawnless Endings and so the position after Black’s 11 th move would be a draw if his rook were on f8 instead of g8. B3) l...*a22*c3!Eg7 3Sh2+! ФЫ 4 Sb2+ Фа1 5 Ee2 wins in a very similar way to line 2, for exam- ple 5...ФЫ 6 JLd4 Eg3+ 7 ФеЗ!, or immediately 5...Bg3+ 6 ФеЗ, with a transposition in both cases. Now suppose that White moves first in the diagram: Wl) 1 Фс5+Фа2! 2Еа6+ФЫ 3 JLd4 Фс2 4 Ea2+ ФЫ! 5 Ef2 Bh7! (now we see the difference; h7 is free, so Black can occupy the impor- tant h-file, which gives him access to the drawing squares in diagram 287) 6 Eb2+ Фс1! 7 Be2 ФЫ! 8 ФеЗ Eh3+! 9 ФеЗ Eh8! 10 Eb2+ Фа1 11 Eb5 Ec8+ 12 Фс5 Eh8 and once again Black is on one of the drawing squares (this would have been im- possible if Black had continued 9...Bh7?). W2) 1 Eg6 (this line also' bears out the importance of the h-file for Black’s drawing manoeuvres; 1 Ef6 is met the same way) Фа2! 2 ФеЗ Eh7! 3 Bg2+ ФЫ 4 Bb2+ Фа1! 5 Ee2 Eh3+ 6 ФеЗ Eh8 and again Black has gained access to the draw- ing squares. We end, as usual, with one of the longest wins in the ending. Although there are 28 different positions which require 59 moves to win, they all transpose into a single variation within a few moves, so we pick one with an attractive first move. (339): The winning line runs 1 Фf5! (even the first move is very tricky; 1 Феб? Eh6+ 2 Феб ФЬ8 3 339 +/= Thompson, 1985 Eb2+ Фа7! 4 Eb7+ Фа8! 5 Ee7 Eh 1 puts Black in the drawing zone of di- agram 287, while 1 Eb2? Eh6+ 2 Фс7 Фа7! 3 Фd7 Eg6 is Lolli’s draw) Eh4 (l...Eg7 2 Феб Eg3 3 Ba2+ ФЬ8 4 Фе4 Eg7 5 Eh2 Ec7+ 6 Фd6! Ec8 7 Ea2! Ed8+ 8 Феб! Edl 9 Eb2+ Фс8 10 Фс15 Ecl+ 11 Фd6! Фd8 is Philidor’s win, as is l...Ef7 2 Феб Eg7 3 Фс15+ Фа7 4 Ea2+! ФЬб 5 Eb2+! Фа7 6 Фс5 Eg6 7 Eb7+ Фаб 8 Eb8) 2 ФdЗ! (another tough move; ...Ec4 must be prevented, but 2 Феб? Фа7 3 Фс7 Eh7+! 4 Фd7 Eh6! is Lolli’s draw again, while 2 Фе4+? ФЬ8! 3 Eb2+ Фа7! 4 Фd5 Eh3! draws by activating the rook) and now: 1) 2.ЛМ 3 Феб! ФЬ8 (З...ЕЬЗ 4 Ea2+ ФЬ8 5 Фе4 Bb7 6 Eh2 ЕЬЗ 7 Eh7 ЕсЗ+ 8 Фd6! Bc7 wins as in diagram 284) 4 Ee7! Bh4 (4...Bb3 5 Фс4 ЕсЗ 6 Bb7+ Фа8 7 Eb4! wins because Black’s rook cannot move to one of the drawing squares in dia- gram 287) 5 Ee8+ Фа7 6 Фе4 Eh3 7 Фd5! Eh2 8 Ee7+! ФЬ8 9 Eb7+!
Rook and Bishop v Rook 233 Фа8 10 Bbl is line 4a of diagram 291. 2) 2..JZg4 3 Феб Sg7 4 JLe4 ФЬ8 5 Eh2 is the note to Black’s first move. 3) 2..JM4 3 i.e4+! Фа7 (now З...ФЬ8 loses after 4 Bb2+! Фа7 5 JLd5!, because the reply ...Bf3 is impossible, and so 5...Bf6+ 6 Фс5! Bg6 7 Bb7+ Фаб 8 Bb8 leads to Philidor’s win) 4 JLc6! and now: За) 4..Д15 5Еа2+!ФЬббВЬ2+! Фа7 7 JLd5! wins in the same way as after З...ФЬ8 just above. 3b) 4..Лф»5Фс7^7+6.&17! Eg6 (this is similar to Lolli’s draw, but here White has the extra possibil- ity of cutting off Black’s rook; it is worth noting that if Black’s rook were on h6 instead of g6, then the position would be a draw, as after 2 Леб? above) 7 Леб! Eg7+ 8 Феб! Egl (both 8...Eg6 and 8...Eg3 lose to the sequence 9 Ea2+ ФЬ8 10 Bb2+ Фа7 И Bb7+ Фа8 12 Ee7, since Black cannot reach one of the marked squares in diagram 287; from gl, however, the drawing square hl is accessible, so White needs a dif- ferent plan) 9 Ea2+! ФЬ8 10 Eb2+! Фа8 (1О...Фа7 11 Eb7+ Фа8 12 Bh7 Bg6 13 Be7) 11 i.f5 (not 11 JLd5? Bcl+!) Bcl+ (ll...Bg3 12 Ba2+ ФЬ8 13 JLe4 Eg7 14 Eh2 is line 4b of diagram 291) 12 ФЬб! ВсЗ 13 Ebl (threatening JLe6) and now: ЗЫ) 13...ФЬ8 14 Bb4! (this is Zytogorsky’s zugzwang; for the sake of completeness we give one maxi- mal length line leading to the 59- move win) ЕаЗ 15 JLd7! Ea2 16 Eh4 Bb2+ 17 Jlb5! Bc2 18 i.c4 (White repeats the position at move 7, with the difference that his rook is on h4 instead of g4, which represents a gain of 12 moves) Eb2+ 19 Феб Ec2 (earlier on, Black played ...Eh2, but now this defence has been ruled out) 20 Bh8+! Фа7 21 Eh7+! ФЬ8 22 Bb7+! Фа8 23 Eb4! (diagram 287) Bg2 24 JLd3 Bg3 25 Bd4 Ef3 26 JLc4! Bh3 27 Ed8+ Фа7 28 JLd5 Bh2 29 Bd7+! ФЬ8 30 Eb7+ Фа8 31 Ebl Bc2+ 32 ФЬб! ФЬ8 33 Леб! (now we have the reciprocal zug- zwang of diagram 286) Ee2 34 Фсб+! Фа7 35 Bal+ ФЬ8 36 JLd5 Bh2 37 ВЫ+ Фа7 38 JLe4 Bh6+ 39 Фс5! Eb6 40 Ehl Ea6 41 Eh8! Ba5+ 42 Феб! Bg5 43 Bh7+ Фаб 44 JLd5! Bg6+ 45 Фс5! Фа5 46 Ehl Bg4 47 Bbl (Philidor) Bh4 48 Bb7 Bh6 49 JLf7 Bf6 50 i.c4 Ef5+ 51 JLd5! Ef6 52 Bb5+ Фаб 53 Bbl Фа7 54 Bb7+ Фаб 55 Be7 Фа5 56 JLe6 Фаб 57 JLc4+ Фа5 58 Ba7+ Ea6 59 Ехаб mate. 3b2) 13..JLa3 14 Леб Ba7 15 Ehl Bb7+ 16 Феб with one further branch: » ЗЬ21) 16...ВЬ2 17Ва1+ФЬ8 18 JLd5! Bb7 (18...Bh2 19 ВЫ+ Фа7 20 JLe4 Bh6+ 21 Фс5! is diagram 284) 19 Ehl Bb2 20 Bh7 Bf2 21 Eh8+ Фа7 22 JLe4 Bb2 (this is line 4b of diagram 291) 23 Ehl Bb6+ 24 ' Фс5! Еаб 25 Bh8! Ba5+ 26 Феб! Bg5 27 Bh7+ Фаб 28 JLd5! leads to Philidor’s win. 3b22) 16..JIg7 17 JLf5 Bf7 (or 17...Bg3 18 Bal+ ФЬ8 19 JLe4 Bg7 20 Ehl winning as in the previous note) 18 Bal+ Ba7 (18...ФЬ8 19 ВЫ+! Фа7 20 JLe4 Bf6+ 21 Фс5 is
234 Secrets of Pawnless Endings again diagram 284) 19 Egl Bf7 20 Ae6 Bh7 21 Bg8+ Фа7 22 JLd5! Sb7 (22...Bh2 23 Ag2 is line 2 in di- agram 285) 23 Sgl Sh7 24 Bal+ ФЬ8 25 Bbl+! Фа7 26 Фс5 Bh6 27 ВЬ7+ Фаб 28 Bb8 is Philidor’s win. ЗЬ23) 16...Фа7 (the continuation 16...ФЬ8 17 JLd5! is just a reflection of this line) 17 JLd5! Eg7 18 JLe4 Bf7 19 Bbl Bf6+ 20 Фс5! with dia- gram 284. 3c) 4„Лh4 5 Be7+ ФЬб 6 Bb7+! ФА6 7 Bb3! (just as in line B2 of dia- gram 338, it is essential to prevent Black’s rook occupying the third rank, which was the f-file in the pre- vious diagram) Bh2 (7...Bh5 8 Ad5! transposes) 8 JLe4! (stopping ...Bc2) Bh5 (8...Bh4 is also met by 9 JLd5 - White must deny Black access to the c-file) 9 JLd5! Bh2 10 Bb4 trans- poses to line B2 in diagram 338. In summary, the 19th century ana- lysts did an excellent job of laying die groundwork for this ending. Much of the old analysis is very ac- curate, sometimes astonishingly so. One example is the position pub- lished by Croskill in 1864 (W<4)c6, Eg7,JLc4 v ВФа8,ЗЫ), in which he claimed a win for White in 57 moves. The correct figure is 49 moves, and the first few moves of his analysis contain some inaccuracies, but after 6 moves he arrived at the position WФc6,Eg4,JLc4 v ВФЬ8,ЗЬ2, in which he gave a win in 51 moves - exactly right! He then gave 17 moves of very difficult optimal play by both sides, and in the remainder of the so- lution there are only minor flaws. This and Zytogorsky’s work are two of the high points of 19th century endgame analysis. B+JL v В will continue to frus- trate over-the-board players for the foreseeable future, although at least the torture is now limited to 50 moves (always assuming that you have kept a score in the quickplay finish!). Reliable drawing methods are known, but the ending is harder to defend in the tournament hall than in the quiet of the study.
8 Queen v Rook and Bishop In general, this ending is drawn. If Black’s pieces are all defended and are on reasonably active squares, then White’s winning chances are very slight. In many cases it makes no difference where White’s pieces are, for example if Black has ^g7, JLg6 and Hf5 the result is a draw no matter where White’s king and queen start. There are winning chances only if the initial position is very unfavourable for the defender. The simplest possibility is that one of Black’s pieces is undefended and the queen can win it with a series of checks. However, there are many other possibilities, for example the defender’s king may be trapped in a comer, or his pieces may be defended but passively placed. Classifying the various winning possibilities for the queen is far from easy, but we will attempt a rough division of the most important ideas for both at- tacker and defender. This ending very rarely occurs in practice, and if it did the odds would be overwhelmingly in favour of a drawn result. Therefore, the contents of this chapter will mainly be of interest to study composers, but even over-the-board players may be surprised at the range of winning ideas for the queen. It is just possible for the side with the queen to lose, and this situation is covered in section 8.7. This sometimes arises quite naturally from an ending of H+JL v Д, in which the winning method is to allow the pawn to promote, and in the meantime set up a mating attack. 8.1: Undefended pieces 235 8.2: Stalemate 243 8.3: Perpetual check 247 8.4: Defender’s king is trapped in the comer 250 8.5: Staircase manoeuvres 254 8.6: Zugzwang 256 8.7: The queen loses 264 8.1: Undefended pieces This is at once the simplest and the most complex of the winning ideas. It is simple in concept, but the execu- tion may require great accuracy. The reason is that the defender normally needs only one tempo to coordinate his forces, when all winning chances will disappear. Therefore, White needs to keep his opponent off bal- ance and it often happens that every move must be unique in order to win. We start with a few simple examples.
236 Secrets of Pawnless Endings Berger, 1889 (end of study) Berliner Sonntagsblatt (340): This study shows that some composers started to investigate the ending of W v B+JL during the 19th century. Even with Black to play in the diagram, he is doomed by the ex- posed position of his bishop, for ex- ample: 1) 2 Wfl+! ФЬ2 3 We2+ Bg2 (3...*gl 4 Wdl+ and 5 Wc2+) 4 Wh5+ *gl 5 Wc5+. 2) 1..ЛЬ2+ 2 Фс7 i.d5 (2...Jlb5 3 Wh8+ Eh2 4 Wal+! *g2 5 Wb2+) 3 Wfl+ ФЬ2 4 Wf4+ and the next check wins a piece. 3) l...±d5 2 Wh8+ Bh2 3 Wal+ *g2 4 Wb2+ ФЬЗ (4...ФЫ 5 Wcl+ Фg2 6 Wd2+) 5 Wc3+ followed by Wd2+ or Wd4+. However, one should not assume that an exposed piece will necessar- ily be captured by a simple checking sequence. A small modification to the previous position demonstrates how tricky such situations can be. (341): Black to play can draw in many ways, for example by l...JLf3, Original so we take White to play. Despite the exposed bishop in the middle of the board. White can only win with very accurate play: 1 Wh6+! (1 Wf4+? Bg3! clears the way for the bishop to interpose on g2) Фgl (l..^g3 2 Wg5+) 2 We3+! (2 Wb6+? Bf2!) Ef2 (the three lines 2...ФП 3 Wd3+, 2...ФЬ2 3 We5+and 2...Ф111 3 We 1+ Egl 4 Wh4+! Фg2 5 Wg5+ win for White) 3 Wcl+! ФЬ2 (З...ВП 4 Wc5+ or 3..J?g2 4 Wg5+) 4 Wc5! (White has achieved as much as he can with checks; now that both black pieces are undefended, it is time for a fork) Bb2+ (4...Bd2 5 Wc7+ Фg2 6 Wcl! wins because 6...Ed3 loses to 7 Wc2+, 6...Bd4 loses to 7 Wb2+ and other rook moves allow Wg5+) 5 Фс8! (5 Фс7? Bb7+! 6 Фс8 ±g2 al- lows Black to defend all his pieces) Bd2 (forced, as most bishop moves allow We5+, while 5...JLb7+ loses to 6 Фс7! Фg2 7 Wg5+ ФЬЗ 8 Wh6+ and 9 Wg7+) 6 We7! (a very hard move to spot; 6 Wc7+? Фg2! 7 Wcl no longer works due to 7...JLe6+! 8
queen v Rook and Bishop 237 Фс7 Ee2, and the obvious 6 We3 fails to 6...Sc2+ 7 Фб8 JLg2 and White cannot win the stray rook) Sc2+ (the only move; White threat- ened Wh4+ followed by Wg5+, and other defences allow an immediate fork) 7 i’dS (thanks to White’s 6th move, Black must meet the threat of Wh7+) i’g 1 (or 7...JLb3 8 Wb4 win- ning after 8...Sb2 9 Wf4+ l4>g2 10 Wg5+ ФИЗ 11 Wh6+ and Wg7+, or 8...JLc4 9 Wd6+! ФЬЗ 10 Wh6+ and 11 Wg6+) 8 We3+ Hf2 (8...ФЫ 9 Wd3 Bc5 10 Wh3+ and 11 We3+) 9 Wcl+! (repeating the position at move 3, but with White’s king on the safe square d8) ФИ2 10 Wc5! (the same recipe as before) Sd2 11 We3 (now this really does win as Black has no saving check) Edl (or else We5+) 12 We2+! and wins. Sometimes such positions can be so confusing that errors have been made, even in home analysis. Here are two examples. 342 +/= Roche, 1974 ‘EG’ (342): After 1 Bh8+! ФхЬ8 2 a8W+! the question is whether or not White can win. The composer thought he could, based on the line 2...JLg8 (2...Ф117 3 Wb7+) 3 Wc6! Edl+ (З...ФЬ7 4 We4+ *g7 5 Wg4+ ФЬ8 6 Wh3+ and 7 Wc3+) 4 ФТ2! (4 Фе2? Egl! draws) Ed2+ (4...Ed5 5 Wh6+! JLh7 6 Wf6+ *g8 7 We6+, while 4...JLf7/d5/a2 all lose to 5 Wc8+ with the lines 5...JLg8 6 Wc3+, 5...*g7 6 Wg4+ and 5...ФЬ7 6 Wc2+) 5 ФеЗ Ba2 6 Wh6+! followed by 7 Wf6+ and 8 We6+ picking up the rook. Later the study was claimed to be unsound because of the continuation 2...Ф87 3fa5? ±c4+! 4 Фе1 Ee2+! 5 Фdl Фg6! and White cannot win the bishop. However, the composer was correct, because after 2..^g7 White can win by 3 Wf3 Edl+ (or 3...JLc4+ 4 Фgl and wins after 4... JLd3 5 Wg3+ ФЬ7 6 Wh4+ Фg6 7 Wei followed by 8 Wg3+, or4...Bc2 5 Wdl Ab3 6 Wg4+ and 7 Wf3/h3+) 4 Фе2 Ebl 5 Wg4+ Фf6 (5...ФЬ6 6 Wh4+ is the same) 6 Wf4+ Фg7 7 . Wg5+ ФЬ8 8 Wh6+ and 9 Wg6+. (343): The composer’s intention was l...Wa2+? 2 Фе7! and Black is unable to pick up one of the unde- fended white pieces, but the study was claimed to be unsound after 1 ...Wd2. Who was correct? This time the composer was wrong; l...Wd2! wins, as the following lines prove: 1) 2 Bb3 Wa2 3 JLdl Фё6 4 Фе7 Wa7+ 5 Феб (or 5 Фе8 Wf7+ and 6...Wd5+) Wf7+ 6 Фd6 (6 Фе5 We7+) Wf4+ 7 Фе7 (7 Феб We4+) We5+ wins.
238 Secrets of Pawnless Endings 343 =/+ Olimpiev, 1990 Ceskoslovensky Sach 2) 2 Ec4 Wd3! 3 Hf4 (3 Ec6 <S?g5! wins at once and 3 Eb4 <S?g5! is winning after 4 Фе5 'йксЗч- 5 Ed4 Wc5+! or 4 ФГ7 Wc3 5 Ee4 W6+ and 6...Wg6+) Фg5! 4 Eb4 ^сЗ 5 Be4 Wc6+! 6 Фе5 Wc5+! 7 Феб Фg6! with a position of reciprocal zugzwang; White is to move, so he loses. 3) 2Ec^g5! 3 Ec4Wd3! 4flb4 is line 2. 4) 2 Eh3+ Фg5! 3 JLf3 Wf4 4 Eh5+ Фg6 5 JLe2 (5 JLdl Wf6+) We4+ 6 Ee5 Wc6+ 7 Фе7 W6+ wins. 5) 2 Ec5 Ж14 3 Eh5+ Фё6! 4 JLe2 We4+ wins as in line 4. Forks seem to be particularly easy to overlook. In the next study we meet the Romanian composer Do- brescu for the first time. He has made a speciality of W v E+JL endings and has been analysing them for a quar- ter of a century; we will see many of his compositions in this chapter. Readers will notice that quite a lot of Dobrescu’s studies have been proved unsound by the computer, but there are few players or compos- ers who would have avoided errors in such difficult analysis. In compen- sation, some of his best efforts have been vindicated by the machine. 344 +/= Dobrescu, 1987 3rd Sp. Pr., Chavchavadze Mem. Tny. (344): Black to move draws by 1 ...JLf5, amongst many other moves, so we take White to play. After the initial move 1 Wal-ь! ФГ7 (1...Фе6 2 Wa2+! Ф?6 3 Wb2+! Феб 4 We2+ and the next check will win a piece, or 1 ...Ф85 2 Wgl+ Фf6 3 Wd4+) the composer gave a lengthy winning line starting with 2 Wa7+, but the simple 2 Whl forks two pieces and wins at once. Sometimes the defender can draw even though he has to put a piece on an undefended square. It can be very hard to judge whether or not the loose piece can be won by a series of checks. In the next position White
Queen v Rook and Bishop 239 uses a tactical device to defend his bishop indirectly. Dobrescu, 1971 (end of study) 1st Pr., Revista Romana de Sah (345): Black to play wins by 1...Фс4 2 JLa7 (2 JLb6 Wh5+ and 3..>g6+) Wh5+ 3 *g2 Wg6+ 4 *f 1 Wbl+ 5 *g2 Wb7+ wins, so we suppose that White moves first. 1 Jtb6! The only move. 1 JLa7? loses to 1...Wh5+ 2 <4)g2 1Hrg6+ followed by a check on a6, f7 or h7 winning the bishop. 1 ... ФЬ5 It looks suicidal to play the bishop to an exposed square, but the draw- ing idea is to keep the bishop on the same file as Black’s king, so that White has a skewer if Black captures the bishop with a series of checks. Other moves are: 1) l...Wh5+2 *g2 Wg6+3 *h2 Wh6+ 4 *g2! Wc6+ 5 ФЬ2! and Black is not making progress. 2) 1...ФсЗ 2 JLa5+ *d3 3 JLel! draws. 3) 1...ФаЗ 2 JLa5 draws. 4) 1...Фа4 2 i’gl draws because if Black wins the bishop. White can play Sal+ and Sbl+. 5) 1...Фс4 2 JLc7! We2+ and now any move draws. 2 Да7! Фс4 Or: 1) 2...Wh5+ 3 *g2 Wg6+ 4 *f 1! 1ЙЫ+ 5 <4)g2! draws. 2) 2,..Фс6 3 i.b8 Wh5+ 4 *g2 Wd5+ 5 ФЬ2! Wa2+ 6 ФЬЗ! We6+ 7 ФЬ2 Wh6+ 8 *g2! Ж12+ 9 ФЬЗ! (not 9 *g3? Wc3+! 10 *g4 Wg7+! 11 *f3 Wb7! 12 Sh8 Фс5+ 13 ФеЗ Wb3+ 14 *f4 W7+! 15 ФеЗ We6+ 16 Фс12 Ж15+ winning after 17 Фс2 Wa2+ 18 ФdЗ Wc4+ or 17 Фе1 We4+ 18 ФП Wbl+ and 19...1Ъ2+) Wd7+ 10 Фg2 draws. 3) 2...Фа6 3 Jlb8! (not 3 JLgl? ФЬ7) W2+ (3...1Ъ5+ 4 Фё1 Wc5+ 5 ФЬ2 Wc2+ 6 ФgЗ! draws) 4 ФЬЗ W5+ 5 ФgЗ! (not 5 Фё2? Bj4+! 6 Ф112 W7+! 7 Фgl Wbl+i 8 Фg2 i&b7+ and now Black can take the bishop in safety) Ж13+ (or 5...'i&g6+ 6 ФТ2! Wb6+ 7 Фе2! Wb2+ 8 ФеЗ and now White is safe) 6 Ф12! (6 ФГ4? ФЬ7! 7 Ле5 Ж12+ 8 ФГ5 Ж:2+ 9 Ф44 i&f2+ wins the rook) Wd4+ 7 ФgЗ We3+ 8 ФЬ2! Wf2+ and Black is making no progress. 3 Sei! It may appear risky to put another piece on an undefended square, but it is the only drawing move: 1) 3 Egl? Wh5+4Фд2 ®86+! 5 ФП 1ЙЫ+! 6 Фg2 1ЙЪ7+! wins the bishop. 2) 3 Sal? Wh5+ 4 Фg2 Wg6+ 5 ФЬ2 Wh7+ followed by ...^gl+.
240 Secrets of Pawnless Endings 3) 3 *gl? Wg4+ 4 *f2 Wf5+ 5 Фg2 Wg6+ 6 11ЙЫ+ as in line 1. 4) 3 JLb8? Wf2+ 4 ФЬЗ Wf5+ 5 *g3 (5 *g2 We4+ 6 ФЬ2 Wh7+) Wg6+ 6 ФИЗ Wh7+ 7 *g2 Wb7+ wins. 3 ... Wffi 3..> f4+ 4 *g2 Wg4+ 5 ФП Wh3+ 6 i’gl draws comfortably. 4 Ee4+! ФЬ5 Or4...*d3 (4...*d5 5 Eg4! Wb2+ 6 ФЫ! Wa3 7 Eg5+! Феб 8 JLgl is also a draw) 5 Ee3+ <4)d2 6 Eg3! Wh8+ 7 Bh3! We5+ 8 Eg3 and White draws. After the move played White can hold the game comfortably by 5 JLgl Wh6+ (5...Ш6+ 6 ФЬЗ! draws) 6 *g3! ®g6+ 7 Eg4! and his pieces are all defending each other. This study and the following one are closely linked. 346 +/- Dobrescu, 1967 (end of study) Rubinstein Mem. Tny. (346): Black is to play in the dia- gram (White to play wins by 1 W7+), which is one of Dobrescu’s most complex compositions. He has a number of playable moves: 1) l..^g6 2 Bj6+ Фg7 3 Bj5+ Фg8 4 W6 JLbl (4...Jld3+ 5 Фgl i.h7 6 Wd8+ Фg7 7 Ж14+ Фё8 8 W6 JLbl 9 Ж18+ Ф^7 10 Wc7+ wins) 5 Фg2! (astonishingly, this is the only move to win; 5 Фе2? JLc2 draws as in the previous diagram, and 5 Фgl Eh5! is also a draw, as will become clear below) and now: la) 5JZh5 6 Wd8+! Фё7 7 Wc7+! ФЬб 8 Wcl-»-! Eg5+9ФhЗ! and now we see why 5 Фgl? only draws; at the end of this line, Black can safely retreat his bishop because White’s king is one square further away, so he lacks the threat of ФЬ4. lb) 5...i.a2 6 «^6-^8 7^16+ Фg7 8 Bj5+ ФЬ7 9 Wc7+ ФЬб (9..^g8 10 Wb8+) 10 Wb6+ wins for White. 1c) S..JLe4+ 6 ФgЗ! and now: lei) 6..1Ы 7 Wg6+ ФГ8 8 Ф£4 Eh2 (8...±a8 9 Фе5 Ehl 10 W6+ Фе8 11 ^ебч- wins) 9 ФеЗ Bh3+ (9...Eh8 10 Фd4 is similar) 10 Фd4 Eh4+ 11 Фс5 Eh8 12 ФЬб JLa8 13 Фс7 (the white king approaches by a devious route) JLhl 14 Фd7 JLb7 15 Феб and wins. Ic2) 6...JLa8 7 Wg6+ Ф18 8 Фf4 JLhl 9 Фе5 Eh2 10 Фd4 Eh4+ transposing to line lei. Ic3) 6.. JLh7 7 Фg4 JLbl 9 Wd8+ Фg7 10 4HcT+ and White wins the bishop. 2) l..JLg8 2 Wc2+! Фё5 (after 2..^f4 3 Wc7+ Фf5 4 Wc8+ Фg5/6 5 Фgl we have the main line) 3 Wc8! (3 Wg2+? ФЬб! 4 Wh2+ Фй7! 5 Wb2+ ФЬ7! 6 Шб Лс4+! draws
Queen v Rook and Bishop 241 after 7 Ф12 JLa2! or 7 i’gl Eg8+! 8 ФТ2 JLa2! 9 Wh4+ Si?g6!) and now: 2a) З...ФЬ6 (3...*g6 4 *gl! *g5 5 WcS-t- i’gG 6 WfS is similar) 4 W8+ ФЬ7 5 Фgl! Фg6 (5...±a2 6 Wf5+ Фg8 7 Wg4+ ФГ8 8 Wb4+ wins) 6 Ж16+ ФГ5 (after 6...ФГ7 7 Ж15+ White also succeeds in forc- ing Black’s king back to h7) 7 Ж13+ Фй5 8 Wg3+ ФЬб 9 Wh4+ Фg7 10 Ж14+ ФЬ7 11 W6 wins. 2b) З..ДМ+ 4 Ф12! (4 Фе2? JLa2! 5 Wc5+ Фg4! 6 Ж14+ Фf5! draws) Eh2+ (4...JLa2 5 Ж:5+ Фg4 6 Ж14+ ФГ5 7 Фg2 followed by 8 1Brf2+ wins) 5 Фgl Eh8 6 Ж:5+ Фg6 (6...ФЬ6 7 Ж16+ is line 2a) 7 Wf8 ФЬ5 8 Wf5+ ФЬб 9 Wh3+ Фg7 10 ^сЗ-ь and 11W6 and White wins as before. 3) L.^gS 2 Wg2+ ФЬб 3 Wh3+ Фg6 (3..^g7 4 Wc3+ Фg8 5 W6 as in line 1)4 ^еб-ь Ф^7 5 ^еб-ь and again White wins as in line 1. The next position is particularly confusing, so much so that the com- poser mis-evaluated the whole posi- tion. (347): After the introductory play l...Egl+ 2 Фх12 Eg2+ we reach the first critical position. The composer intended that 3 Фе1 Exa2 4 ФеЗ JLa8 should lead to a draw, whereas 3 Ф13 Exa2+ 4 Ф44 should be a win for White. This would give rise to the paradoxical consequence that White would have to walk into a discovered check in order to win. Let’s see what really happens: 1) 3 ®el Exa2 4 Wc3 and now: la) 4...JLa8? (Dobrescu’s move loses) 5 Фdl! (the idea is Фс1-Ы, 347 /= Dobrescu, 1973 1st HM, Szachy disturbing Black’s rook) with two lines: lai) 5..JLg2 (5...Ф.Ы is met the same way) 6 Ж:4+ ФаЗ 7 Фс1 JLfl (or 7...JLa8 8 Wa6+ ФЬЗ 9 We6+ ФаЗ 10 We7+ Фа4 11 Wa7+ ФЬЗ 12 Wf7+ ФаЗ 13 Wf8+ ФЬЗ 14 Wg8+ and Black must part with his bishop) 8 Wc3+! Фа4 9 ФЫ! ЕаЗ 10 fd4+ Фа5 11 Ш2+ ФЬб 12 Шб+ Фа4 (12...ФЬ4 13 Ж16+ followed by W4+ or tdl+) 13 We4+ Фа5 14 Wel-b and wins. 1а2) 5..ЛаЗ 6 Wc4+! Фа5 7 Wc5+! Фа4 8 Фс1 JLhl (8...Ea2 9 Wa.l+ as in line lai) 9 1В,с4+ Фа5 10 ФЬ2 Ea4 (10...Ef3 11 Wcl Eh3 12 Wc7+ ФЬ4 13 W4+ and Wf5+) 11 Wc5+ Фаб 12 Ж16+ ФЬб (12...Фа5 13 ФЬЗ Ee4 14 Wd2+ ФЬ5 15 Wg5+ and Wh6+) 13 We5+ Фаб (13...Фс4 14 Wf4+ ФЬб 15 W1+) 14 We2+ ФЬб 15 We3+ Фс7 16 Wg3+ Феб (1б..Ф^8 17 Wg8+) 17>g6+ Фс5 18 Wgl+J wins. lb) 4...JLg2 5 Фdl (5 Wc4+ ФаЗ
242 Secrets of Pawnless Endings 6 Ф<11 Afl is similar) Af 1! (Black threatens to consolidate by ...Ab5) 6 Wd4+ ФЬЗ 7 We3+ ФЬ4 8 Wel+ ФЬЗ and White cannot capture the bishop. 2) 3 ФП Exa2+ 4 Ф^4 with the branch: 2a) 4...Aa8? (Dobrescu’s main line does lose) 5 ФсЗ ЕаЗ (5...Bf2+ 6 Фе5! Be2+ 7 &d6 Be8 8 Фч17 wins material) 6 Wc4+! Фа5 7 Фе5! Ea4 (7...Ahl 8 Wc7+ Фа4 9 Wd7+ Фа5 10 Wd2+ ФЬ5 11 Wcl wins) 8 Wc5+! Фаб 9 *d6! Ea5 (9...Ef4 10 Wa3+ ФЬ7 11 Фе5 Bf2 12 Wb4+ Фаб 13 Wa4+ ФЬ7 14 Wb5+ and wins) 10 Wc4+ ФЬб (10...Bb5 И Фс7 Ad5 12 Wa4+ Ea5 13 Wb4 Eb5 14 Wd6+ and wins) 11 Wb4+ Eb5 12 Wd4+! Фаб (or 12...ФЬ7 13 We4+!) 13 Фс7 Bb7+ 14 Фс8 ФЬ5 (14...ЕЬ5 15 Wd6+) 15 Wb2+ Феб 16 Wc3+ ФЬ5 17 Wb3+ followed by a check on the а-file winning the bishop. 2b) 4.. ЛЬ2 (this draws very sim- ply; White cannot pick up the bishop with checks, while otherwise Black consolidates by ...Eb4+ and ...Ab7) 5 Wa7+ ФЬЗ! (5...ФЬ4? loses in a rather complicated way after 6 Wai!, but there is absolutely no need for Black to leave his rook undefended) 6 ФеЗ (further checks do not im- prove White’s position) Ag2 and Black can check White’s king away if it moves to the d-file. Thus the position is drawn and the study is unsound. The most common error in ana- lysing endings of W v E+A is to underestimate the queen’s winning chances. Even if there is no instant forced win, the defender can be doomed by passively placed pieces which allow the attacking side to in- crease the pressure gradually. 348 =/+ Dobrescu, 1954 Revista Romana de Sah (348): Black was to play in the study (White to play draws by 1 Ef3) and the intended line was l...Wb7+ 2 ФЬ2 Wc7+ 3 ФЫ Wh7 4 Bf2 Фg4+? 5 Ah2 We4+ 6 Фgl ФЬЗ 7 ФП, when White draws. However, in the initial position Black has at least two simple wins: 1) l...Wg8+ 2 ФЬ2 (2 ФП Wc4+! 3 Фё2 Wd5+ 4 ФП Wb5+ and 2 Ф12 Wa2+ 3 ФеЗ Wb3+ 4 Фе4 Wbl+ 5 Ф44 Wfl+ lose more rap- idly) Фg4 3 Bb6 (3 Фg2 Wd5+ 4 ФП Wd3+ 5 Фg2 Wh3+ 6 ФТ2 Wh4+ and 3 Efl Wb8+ 4 ФЫ Wb3 5 Ah2 ФЬЗ are also lost) Wf7 (threatening ...ФТЗ) 4 Eb2 (4 Eb4+ ФfЗ! wins) Wf4+ 5 ФЫ Wf3+ mating. 2) l...Wg3+ 2 ФЫ (2 ФП Wd3+ 3 Фё2 Wd5+ as in line 1) Wh3+! 3 Ah2 We3 (threatening ...ФЬЗ) 4 Ef8
Queen v Rook and Bishop 243 (4 Ef2 ФЬЗ! 5 *gl Wcl+ and 4 JLf4 ^сЗ win easily) ^сЗ (renewing the threat of ...ФЬЗ) 5 Eg8 WctH- 6 Фgl Wc5+ 7 ФЫ Ж15+ and wins. In fact the first few moves of Do- brescu’s line maintain the win, but after 1...1Ъ7+ 2 ФЬ2 Wc7+ 3 ФЫ Wh7 4 Ef2 Black must continue with 4...Wb7+ (4...Фg4+? really is a draw) 5 ФЬ2 We4 6 Efl (6 Eg2 Wf4+ 7 ФЫ W3, while other rook moves allow Black to win by picking up the rook with checks) ^5+ 7 ФЫ Фg4 8 JLa7 We4+ 9 Фgl ФgЗ 10 Ef2 (or 10 ЛЬ8+ ФЬЗ! 11 Ф£2 Wc2+) Wbl+ 11 Efl Wb7 and White has no de- fence. 8.2: Stalemate Firstly, we consider the situation in which the stalemate does not involve the participation of the attacker’s king. This can only occur when the defender’s king is in the comer. There are two main ideas. The first is for the defender to sacrifice his bishop in order to create a position with, for example, 1Brf2 v ФЫ, when a further rook sacrifice forces stalemate. The second idea reverses the order of the sacrifices; in this case the rook is of- fered first, and then the bishop pins the queen, forcing the queen to take the bishop and deliver stalemate. The first idea appears in the fol- lowing study. (349): 1 JLg3! (the only move, since 1 JLf4? Wh7+ 2 JLh2 Wb7+! 3 Фgl 4Hg,l+ wins the white rook) ^еЗ (Black cannot win the rook with checks) 2 JLf2! (everything else 349 =/+ Henneberger, 1925 Chemnitzer Tageblatt loses immediately) 1Brxf2 and now White must play accurately: 1)3 Ee4+? Фd7! (the basic idea is that if White checks along the eighth rank he draws, but the seventh rank isn’t good enough because Black can play his king to a6, when the check on a7 allows a queen cap- ture; thus 3..^d8/f8? 4 Ee8+! leads to line 2, while after З...ФТ7?4Ее7+! Фg6 5 Eg7+ Black’s king is trapped on the g- and h-files) 4 Ee7+ Феб 5 Ec7+ ФЬ5 6 Eb7+ Фаб and Black wins. 2) 3 Ed8+! Фе7 4 Ee8+! with perpetual check (see diagram 392 for details). In 1950 Halberstadt succeeded in combining both stalemate ideas in one study. (350): 1 JLel! (1 Eb5? ШЗ+ 2 Фgl Фаб and Black wins material) 'йкеЗ (1 ...Wxc5 2 JLf2! is the second stalemate idea) 2 JLg3! (2 Ea5+? ФЬ7 3 JLg3 Wcl+ and 4..>d2+ wins the rook) Wxg3 (once again the
244 Secrets of pawnless Endings 350 351 +/= Rinck, 1946 La Pre ns a Halberstadt, 1950 lit Pr., Sachove Umini rook is taboo) 3 Па5+! ФЬ8 4 Ha8+! (4 Sb5+? Фс8 5 Sc5+ *d7 6 Hd5+ Феб wins) Фс7 5 Па7+! (5 Дс8+? ФЬ7) Фдб 6 Паб+! Фе5 7 Да5+! ФТ4 8 Па4+! Фg5 9 Па5+! ФЬ4 10 Ш15+! Фg4 11 Bg5+ Фxg5 stale- mate. It is often possible to turn a stale- mating idea around and create a ‘White to play and win’ study based on the theme of avoiding that partic- ular stalemate. The following study is an example: (351): 1 Wf51 (at first sight Black can resign, but he has a cunning de- fence) ФЬ8 (White can’t capture the rook with either piece, but there is an alternative route which does lead to success) 2 We5+! ФЬ7 3 We7+ Bg7 4 ^4+! (now a staircase manoeuvre forces the win) ФЬ8 5 ^еб! ФЬ7 6 Ш5+! ФЬ8 7 W6! ФЬ7 8 #h6 mate. We move on to the case in which the stalemate involves the participa- tion of the attacker’s king. In this case the stalemated king need not oc- cupy a comer square. Once again Rinck composed some of the most important examples. 352 Rinck, 1929 (end of study) L’Echiquier (352): 1 Sg2! Ш1+ 2 Ф112! Wh8+ 3 igl! Wh3 (if Black does nothing positive, White can simply maintain the position by 4 Af2) 4 Ш2+! (thanks to the position of Black’s
Queen v Rook and Bishop 245 queen, White can sacrifice both pieces to force stalemate) l4>xg3 5 Ef3+! ФхГЗ stalemate. 353 Rinck, 1946 Revue Suisse d’Echecs (353): 1 Bb3+! (Black threatens mate, so this is forced) Фа4 2 Фс2! (not 2 Bg3? Wdl+ 3 ФЬ2 We2+ fol- lowed by 4..>el+) Wf2+ 3 ФЫ! Ж12 (at first sight this is zugzwang, but there is a stalemate defence) 4 Фа1! (4 Bb7? Wel+ 5 ФЬ2 Wf2+ wins after 6 ФЫ W1+ followed by 7..>g2+, or 6 Фа1 Wd4+ 7 ФЫ We4+; 4 Bb8? loses in a similar way) Wcl+ 5 JLbl! (threatening 6 Ed3) ФхЬЗ (there is nothing better, be- cause 5...Ш1 6 Bd3 We2 7 Ed4+ ФЬЗ 8 Bd3+! ФЬ4 9 Bd4+ ФеЗ 10 Ed3+! Фс4 11 ВаЗ is also a draw) stalemate. (354): 1 Bh7+! (not 1 Ла2? Ш+ 2 Фg8 Wg5+ 3 ФЬ8 We5+ 4 Фg8 Wb8+ 5 ФЬ7 Wai winning) Ф?8 (1...Фхе6 2 Ee7+! draws by check- ing along the seventh rank) 2 Bf7+! Фе8 and now: 354 =/+ Moreno Ramos, 1978 (end of study; version) 2nd Comm., Themes-64 1) 3 JLf5? Wh5+! (certainly not 4 JLg6! Wxg6 stalemate, nor 3...Wh6+? 4 JLh7! drawing as in diagram 353) 4 Ah7 We5+! 5 Фg8 WgS+I (the win is just as in diagram 351) 6 Bg7 Wd5+! 7 ФЬ8 We5! 8 Фg8 We6+! 9 ФЬ8 Wf6! 10 Фg8 W8 mate. 2) 3 JLd7+! (a spectacular and unusual finale) Фxf7 4 JLe8+! Фхе8 stalemate. Just as in diagram 351, it is possi- ble to invert the situation and com- pose a study based on avoiding the stalemate. (355): White wins, even with Black to play: l...Bb2 (l...Bh7+ 2 Фg4! JLe3 3 Wd5+ Фё1 4 Wdl+ and 1 ...ФЬ2 2 Ж14 JLg3+ 3 Фg4! Ef7 4 WhS+J lose more quickly) 2 W'd4! Bf2 (the best defence; 2...Bh2+ 3 Фg4! ±d2 4 Ш4+ Фgl 5 ФgЗ! Bf2 6 Wbl+! wins) 3 ФЬЗ! (not 3 Wxf2? JLg3+! drawing) Ef3+ (3...Eh2+ 4 Фg4! wins as above) 4 Фg4! Efl 5
246 Secrets of Pawnless Endings 355 Dobrescu, 1974 1st HM, Bulletin Problemistic Dobrescu, 1952 Revista Romana de Sah We4+! *gl (5...ФЬ2 6 We2+! *gl 7 ФЬЗ! is the main line) 6 ФЬЗ! Ef2 7 Wel+ Efl 8 We2 Ef2 9 Wg4+ and wins. The over-the-board player regards overlooking an alternative win as less serious than throwing away the win altogether. But to the study com- poser a cook (alternative solution) and a demolition (no solution at all) are equally bad; in both cases the composition is unsound and must be either repaired or discarded. (356): This position is indeed a draw, but White has two different ways of reaching his objective: 1 He8+! £d4(l...'4’xd3 2Ee3+ draws at once and 1...Ф(12 2 Ee2+ ФеЗ 3 ЛЫ is safe) and now: 1) 2 Лс2 (Dobrescu’s intended continuation) Wb7 (preventing Ea8, which draws against most other queen moves) 3 ЛЫ! (not 3 Eel? ФеЗ! 4 ЛЬЗ Wa7+ 5 Ла2 Ш4 6 Sc 1+Фd2+ winning) ^абч- (3.. .Wg? 4 Ee2! ФеЗ 5 Eb2 draws) 4 Ла2! W6 5 Eb8 ФеЗ 6 Eb2 and White draws. 2) 2 Ee4+ (this is also enough for a draw) ФеЗ 3 Ec4+! Sfcd2 4 Ec2+! ФеЗ and now: 2a) 5 JLg6? We6 6 ЛЬ7 (6 Ec3+ Фd4 7 Ed3+ Фс4 8 ЛЬ7 Wa6+ and 9...Wb7+) Wh6 7 Ec3+ (7 Ec7 Wa6+) Фd4 8 Ed3+ Фе5 9 Ed7 Wa6+ and 10...Wb5+. 2b) 5 ЛЬ7? Wf7 6 Eh2 (6 Ec3+ Фd4 7 Ed3+ Фс4 8 Ле4 W1+ and 9..>e2+) Wg7+ 7 Фа2 ФfЗ (with the threat of 8...Ж7+ followed by 9..>gl+ or 9...1Ъ8+) 8 Eh4 (8 Eh3+ Фg4 9 Eh2 Wa7+) Wa7+ 9 ФЬЗ ФgЗ winning a piece. 2c) 5±f5!1ira3+(5..>d56±c8 defends everything, or 5..^f4 6 Hf2+) 6 Ea2! (6 ФЫ? Wb4-h! 7 Eb2 Wel+ and 8..>a5+) Wc3+ 7 ФЫ! Wel-b and Dobrescu stops his analy- sis here with the assumption that Black is winning. However, after 8 ФЬ2! Black cannot make any prog- ress.
Queen v Rook and Bishop 247 8.3: Perpetual check Surprisingly enough, the defender can sometimes give perpetual check using only his rook. This can happen when the enemy king is confined to a certain area by the possibility of a pin or skewer. The following simple position is a good example. 357 =/= Kordnyi, 1968 (end of study) 2nd Pr., New Statesman (357): l..>hl+ 2 *g4! ФЬб 3 JLf7! (3 Eh3? Wg2+! wins) We4+ (Black can win the bishop, but the re- sult is still a draw) 4 ФЬЗ! W5+ 5 *g2! Wxf7 6 Eh3+ *g6 7 Eg3+ drawing because Black’s king cannot move to the f-file. Since the basic idea is relatively straightforward, composers have at- tempted to introduce extra complexi- ties. Unfortunately, the result of this has often been unsoundness. If one reversed the colours in the following position, it could almost become a study on the theme of avoiding per- petual check. Dobrescu, 1976 (end of study) 1st Comm., Bulletin Problemistic (358): This position arises in the main line of Dobrescu’s study. It needs to be drawn for the study to be sound. However, after 1 Eg2 wfl+ 2 <4)g3 Ж13+ 3 ФЬ2 Black need not take the bishop (when White delivers perpetual check). Instead he can win by З...Ш6+! 4 ФЬЗ (4 Фgl Wb6+ 5 Ф112 Wb8+ wins the bishop safely, while 4 ФЫ Wh6+! 5 Eh2 Wc6+ 6 Фgl Wb6+ is similar) i&h6+ 5 ФgЗ We3+ 6 ФЬ2 Ш+ 7 ФЬЗ (7 Фgl loses to 7...Ж14+ and 8...ФП, while 7 ФЫ Wb6-t- transposes to the last note) ФП 8 Bg3 (8 Bg8 W3+ 9 ФЬ2 ФТ2 10 Леб Ш+! 11 ФЬЗ Wh6+ wins) 'ЙЫ (threatening 9...ФТ2) 9 £g8 (9 Ла2 Ш7+10 Фё4 Ж17+11 ФЬ5 Wb5+ wins) Wil-b! 10 Фg4 ФТ2! 11 ЛЬЗ/а2 We4+ 12 ФЬЗ Wh7+ picking up the rook. Here is a second, rather similar, example. Instead of playing for the immediate win of material, Black can improve his position with less speed but more success.
248 Secrets of Pawnless Endings Dobrescu, 1953 1st Pr., Revista Romana de Sah (359): Black is to play. The com- poser intended a spectacular draw af- ter l...Wa4+ 2 ФЬ7 Wdl? 3 i.c5! Wd5+ 4 Фаб! Wxc5 (4...Wc4+ 5 Bb5! Фс7 6 Фа5! Феб 7 Bb6+! Фхс5 8 Всб+! Фхсб stalemate) 5 Bb8+ Фd7 6 ВЬ7+ Феб 7 Вс7+ Фхс7 with an echo stalemate. Alas, the study is unsound because Black can win by l...We2+ 2 Фа7 (2 Eb5 Фс7 3 Фа5 Wel+) We7+! 3 Фаб (3 Фа8 is also met by 3...Wa4+, while 3 Bb7 Wa3+! 4 ФЬб Wb2+ wins the bishop) Wa3+ 4 ФЬ7 (4 ФЬ5 Wb2+) Wcl! (the key point; Black must at- tack the bishop at a moment when it cannot move to c5) and now: 1) 5 Eg6 Wc7+! 6 Фа8 (6 Фаб Wc4+! 7 ФЬб Wb3+ 8 Фа5 Wa2+ followed by ...Wbl+) Wh7 and now: la) 7 Eg3 Фс8 8 Bc3+ Фd7! (threats 9...Whl+ and 9...Wh8+) 9 Фа7 (9 Bg3 We4+ 10 Фа7 Wa4+ 11 ФЬб Wc6+ and 12...Wc7+) Wg7 10 Ecl Wb2 11 Eel (11 Efl Феб) Wa3+ and 12...Wb4+. lb) 7 Eg4 Wf7 8 Bg5 (8 Bg3 Wd5+ or 8 Bh4 Wa2+) Фс8 9 Bc5+ Фd7! 10 Bg5 (or 10 ФЬ7 Фd8+! 11 ФЬ8 Wb3+ 12 Фа7 Wa2+ and then 13...Wbl+) Wf6 11 Bd5+ (11 Bg8 Wf3+ 12 Фа7 Wa3+ and 13...Wb3+) Феб 12 Edl (or else 12...Wh8+ and 13...Wg7+) Wf3+ and wins. 2) 5 i.f2 (5 i.d4 Wc8+ followed by 6...Wd7+) Wc7+ 6 Фа8 (6 Фаб Wc4+) Фс8! 7 i.d4 (7 i.gl Wg3 8 ±c5 We5 9 Bc6+ Фd7! 10 Bd6+ Фс7 wins) Wf4 8 Bc6+ (8 Bb4 We4+) Фd7! 9 Bc4 Wf3+ 10 Фа7 Wb3 followed by ...Wa4+. In a moment we will look at a sound Dobrescu study, but in order to appreciate it fully, we must first tackle a preliminary position. 360 Original (360): Black to play draws by 1 ...i.e2 2 Фd6 (checking is pointless since White cannot take the bishop even if he arranges a fork, while 2 Феб i.c4+! 3 Фе7 Bf7+! 4 Фе8 i.b5+ 5 Фх(7 i.e8+! forces stale- mate) ±d3! 3 Wh6+ Фё8 4 Wg5+ (4
Queen v Rook and Bishop 249 Фе! Bf7+!) ФП! (4...ФЬ8 5 Фе7! Efl 6 Wh4+ JLh7 7 Ж14+! *g8 8 Wc4+ wins) 5 Ж15+ Фg7 and White cannot take the bishop. White to play can win this po- sition, but only by very exact play. He must transfer his king to el to dislodge Black’s rook from f8, but he must achieve this without allowing Black’s bishop to escape from the bad square fl. Thus 1 i’db? (1 Ф<15? is met the same way) is a mistake al- lowing 1 ...JLd3! with a draw as in the Black to play analysis. The correct route is via b6: 1 l4,d4! Ef4+ (Black has various moves with his rook, but they amount to the same thing, for example after l...Bd8+ 2 Фс5 he must return to f8) 2 Фс5 Ef8 (2...Ef2 3 &d6 Ed2+ transposes to the main line) 3 ФЬб Bf2 4 Фс7 Ag2 (4...flf8 5 ФШ is hopeless, while 4...Bg2 5 WhS-t- i’gS 6 Ж15+ i’g? 7 W5 wins after 7...Egl 8 Wf2 Ehl 9 Wd4+ *f8 10 *d8 JLh3 11 W6+ *g8 12 W3 or 7...i.c4 8 Wf3 Bc2 9 Wg4+ *f6 10 W4+ *g7 11 Wg5+ ФЬ8 12 Wh6+) 5 *d8 Bd2+ 6 Фе! Be2+ 7 i’db Bd2+ (7...Bf2 8 Wg5 wins) 8 Фе5 Be2+ 9 *d4 Bf2 (9...Bb2 10 ФеЗ wins) 10 Wg5 and White wins. In the final position of this sec- tion, we see that it is even feasible to create a perpetual attack on the queen. It sounds impossible, but Do- brescu found a sound expression of the idea. (361): White’s pieces are under attack, but Black is unable to exploit this. 1 ... Wb7 2 ±a6! Dobrescu, 1978 (end of study) 1st Pr., Revista Ro mana de Sah The only move. Black wins after 2 Bf8? (2 Bh6? Wc8+ 3 Фй7 Wd7+ 4 Фg8 We8+ 5 Фg7 We7+ 6 Фg8 Wg5+ 7 ФЬ7 W5+ wins) We7! 3 Фg8 WgS-t-! and now: 1)4 ФЬ7 (4 ФЬ8 Феб is similar) Феб (threatening ...Фе!) 5 JLa6 (5 JLc4+ Фе7! 6 Bf7+ Фе8! wins af- ter 7 JLa2 Wa5 8 JLb3 Wb5 9 JLa2 Шб 10 Bf2 Wd3+ or 7 Bc7 Wh5+ 8 Фg8 Фd8 9 Bg7 We8+ 10 ФЬ7 We4+) Фе! 6 Efl (6 Eg8 Wh5+ 7 Фg7 Ж15 and Black wins after 8 ФЬ7 Фf7 9 Bg7+ Фf8! 10 Eg6 Wh5+ or 8 i.c8 W7+ 9 ФЬ8 W6+ 10 ФЬ7 ФТ7 11 Bg4 We5 12 Eg6 Wh2+) Wh4+ 7 Фg7 Wg3+ 8 ФЬ7 Wg4 9 ФЬб (both 9 ФЬ8 Wg6 10 Bel+ Фd8 11 i.b7 Ж16 12 Efl Wd4+ 13 Фg8 Wc4+ and 9 Bel+ Фf6 10 Efl+ Фg5 11 Фg7 Ж14+ 12 Фg8 Фg6 win for Black) 1B,e4 10 Фй7 (10 Фg5 Wc6 11 Bel+ Фf7 12 JLe2 Wg2+ 13 ФЬ5 Wh3+ followed by 14...^3+ wins, as does 10 Jlb5 We3+ И ФЬ7 ®e6 12 Bf4 We5 13
250 Secrets of Pawnless Endings Eb4 *f8) We6 11 JLd3 We5+! 12 ФЬ7 Wh2+ 13 *g7 Wg2+ and 14...Wh3+ is winning for Black. 2) 4 ФГ7 W6+ 5 *g8 (5 Фе8 Bj6+ 6 *d8 *d6) Wg6+ 6 ФЬ8 l4,d4! and wins as in the previous di- agram. 2 ... Wg2 3 ДП The position has been reflected, so 3 Eh6? loses just as in the last note. 3 ... Wb7 ...with a peculiar draw by perpet- ual attack. 8.4: Defender’s king is trapped in the corner If the defender’s king is badly placed in the comer of the board, then a small additional weakness may be enough to cause defeat. In particular, a combination of a passive bishop and a king in the comer can prove fatal. Once again, the main analysis is so complicated that we break up the work by introducing a preliminary diagram. (362): White to play wins by 1 Wd4! i.c4+ 2 ФаЗ! Ec2 3 Ш1+ Ecl 4 Ж12 Ec2 5 Wb4+, so we take Black to move. In this case Black draws, but only by very accurate de- 1) 1..Лс8? 2 Wb6! (2 Wb7? Ec2! 3 Whl+ Ecl 4 Wh8 Ec2! and White has nothing better than returning to hl) i.c4+ (after 2...Ec2 3 Wgl+! Ecl 4 W'd4 White wins as in the dia- gram with White to play, while 362 +/= Original 2..±f5 3 Wgl+ Ecl 4 Ш4 Ec2 5 Ш5 JLg6 6 fdl+ Ecl 7 Ш4 Ec2 8 Wgl-t- leads to mate) 3 Фа4+ and now: la) З...Фс1 4 Wb7 and White wins in the five lines 4..JZh8 5 W3 Ec8 6 Wi3 Ea8+ 7 ФЬ4! JLd5 8 Ж:3+ followed by 9 Ж13+, 4...JLe6 5 Whl+ ФЬ2 6 Wh2+ ФЫ 7 Wgl+ Фа2 8 W2+ and 9 Wel+, 4..JIg8 5 ФЬ4 JLe2 6 Wc6+ ФЬ2 7 Wc3+, 4..Лс5 5 Whl+ i>d2 (or any other square) 6 ФЬ4 Ec8 7 Wh3 winning material and finally 4..JZd8 5 ФЬ4 Ed4 6 ФсЗ. lb) З...Фс2 4 Wf2+! Фdl (or 4...ФсЗ 5 W6+! Фd2 6 Wh6+ Фс2 7 1B,h2+! and White wins after 7...ФЫ 8 ФаЗ Ea8+ 9 ФЬ4! Ec8 10 Whl+ followed by 11 WiS, or 7..Adi 8 1ЪЗ Eg8 9 ФЬ4 JLa2 10 ФсЗ Фе1 11 We3+ Afl 12 Wcl+!) 5 Wgl+ Фd2 6 Wg5+ Фе1 (6...ФсЗ 7 W6+ wins as in the note to Black’s fourth move) 7 1ЙГЬ4+ Фd2 8 ’ЙЪб-ь and again we transpose to the analysis of 4...ФсЗ.
Queen v rook and bishop 251 2) 1» Jk6! 2 ФаЗ+(2 Sd4 Ac2+! and 2 Wb7 Bc2! also draw) Фс1! and after 3 W4+ ФЫ! or 3 Wel-t- Фс2! 4 ^12+ ФеЗ! White cannot win the loose rook. 363 +/= Dobrescu, 1968 (end of study) Tidskriftfor Schack (363): White is able to win this position, but not by the composer’s method! 1) 1 ^5+? (Dobrescu’s move throws away the win) and now: la) 1...Фа2? 2 Ш5+! Ec4+ (the line 2...JLc4 3 Ж12+! ФЫ 4 ФаЗ! also wins) 3 Фа5! JLfl 4 Wdl Ec5+ (4...JLh3 5 Wd3 Eh4 6 Wg6 Ag4 7 W7+ ФЫ 8 W1+ and 9 Wf2+) 5 ФЬб Eb5+ 6 Фс7! Ebl 7 Wc2+! Фа1 8 Wd2 JLc4 9 Wc3+! Eb2 10 Wcl+! (10 1йгхс4? Ec2! draws) and White can capture the bishop next move. lb) 1...ФЫ! 2 ФЬЗ Ec2! (the composer only gave the faulty line 2...JLc4+? 3 ФаЗ! Фс2 4 Wb2+ Фdl 5 Ж14+ followed by ФЬ2) 3 Wel-t- (other moves are met by ...JLc4+) Ecl 4 Wb4 (4 Wd2 i.c2+! 5 ФаЗ Edl! draws) Ec6!, defending as in the previous diagram. 2) lWg3JLc4(l...Bdl 2 ФаЗ) 2 ФаЗ ФЫ 3 We5 Фс2 4 Wb2+! Фdl 5 Ж14+! and 6 ФЬ2 wins. Dobrescu made a special study of positions with White’s queen on f7, Black’s king on h8 and his rook on g8; Black’s bishop may be on d8 or b8. Taking the case of the bishop on b8 first, let us ignore White’s king position and suppose that Black is to move. Then the only move not to lose material is l...JLg3. Dobrescu believed that if White’s king is well placed on f3, preventing l...JLg3 be- cause of 2 Wh5+, then Black loses. However, the analysis of the follow- ing diagram shows that this is not so. Dobrescu, 1960 4th HM, Revista Romana de Sah (364): This study is also unsound because the position is drawn. After the moves 1 WgS Eh7! 2 W6+ Фg8! 3 Wg6+ ФЬ8! 4 Феб Ec7+! 5 Фс15 Ed7+! (not 5...Eh7? 6 Феб! i.c7 7
252 Secrets of Pawnless Endings We8+ *g7 8 Wf7+ ФИ6 9 W6+ ФЬ5 10 Ф45 and White wins) 6 Фе4 there are two possibilities: 1) 6..JU17? 7 *f5 Ac7 (7...Bh3 8 *f6 Ef3+ 9 Фе7 Be3+ 10 *d7 Eh3 11 Wf6+ and White wins the rook) 8 We8+ *g7 9 Wd7+ ФЬб 10 ^сбч- wins. 2) 6..Ле7+! 7 *f5 i.c7! 8 *f6 (8 W6+ Bg7 9 Wh6+ *g8 10 *f6 JLd8+) Ad8! and White doesn’t even have a check. We shall return to this formation below (see diagram 373). The situation is much more com- plicated when Black’s bishop is on d8. We will analyse a few specific positions before considering the gen- eral case. 365 =/= Dobrescu, 1970 2nd HM, Th£mes-64 (365): This study is unsound be- cause the initial position is drawn. 1 Wf7 JLh4+! Other moves lose: 1) l...Eg8? 2 ФП JLg5 (2...Eg7 3 W8+) 3 Wh5+ wins. 2) l...i.a5+? 2 *f 1 Eg5 3 Wf6+ Eg7 41ЙТ8+! ФЬ7 5 W5+ wins. 3) l..Лgl+?2Фe2!Eg2+ЗФfЗ Eg8 4 Фе4 Eg4+ 5 Фе5 Eg8 (or 5...Bg5+ 6 ФГ4 Bg8 7 ФfЗ) 6 ФГ5 JLa5 7 Wh5+ Фg7 8 Wg6+ Ф18 9 W6+ Фе8 10 Феб wins. 2 Фе2 Or 2 ФП Eg5! 3 Wf4 Bh5! and Black escapes. 2 ... Eg2+! Not 2...Eg5? (2...Ee4+? 3 ФТЗ! Ee5 4 W4 Eh5 5 Фg4 also loses) 3 W8+ ФЬ7 4 Ш! Eg2+ (4...Eh5 5 W7+! ФЬб 6 ФТЗ! transposes to the position after White’s 13th move in line lb of the following diagram) 5 ФdЗ JLf2 6 Wf5+ Фg7 7 Wd7+ Фf8 8 Wc8+ and 9 Wb7+. 3 ФеЗ JLf2+! Not 3...Eg3+? 4 Фе4! (4 ФГ4? Eg5! draws) Eg4+ 5 Фf5! Bg5+ 6 Фf4! with a reciprocal zugzwang position. Black to play loses after 6...Ea5 7 W8+ ФЬ7 8 Фg4 Ea4+ (8...±g5 9 Ж16 wins) 9 ФЬ5! Ed4 10 Wc5 JLf6 11 W5+ Ф^7 12 Wg6+ and Black loses all his pieces. 4 Ф13 Eg3+! 5 Фе2 After 5 Фх£2 Eg2+! 6 ФеЗ Bg3+! Black gives perpetual check along the g-file, but not 6...Ee2+? 7 Фd4 Ed2+ 8 Фс5 Ec2+ 9 ФЬб Ec6+ 10 ФЬ5 Eb6+ 11 Фс5 Eb5+ 12 Фd4 Bb4+ 13 ФеЗ and wins. 5 ... JLgl! This is the move that Dobrescu overlooked. After 5...Ee3+? 6 Фd2 White does indeed win, but after the move played White cannot win the rook with checks, so Black manages
Queen v Rook and bishop 253 to play ...Bg7 with a straightforward draw. 6 Wh5+ *g8! 7 Wd5+ ФЬ7 and White cannot make progress. 366 +/- Dobrescu, 1974 (end of study) 1st Pr., Revista Romana de Sah (366): White to move wins by 1 ФЬЗ Bb7+ 2 Фс2, transposing to line la below. In the study Black was to play, and after the forced move l...Ba7+ Dobrescu claimed that 2 ФЫ wins whereas 2 ФЬЗ draws. In fact both moves win. First let’s look at Dobrescu’s win: 1) 2 ФЫ and now: la) 2,ЛЬ7+(2...ПЬ7 3Фс2Пс7+ is the same) 3 Фс2 Ec7+ 4 ФdЗ Bd7+ 5 Фс4 Ba7 (the continuation 5...Bc7+ 6 Фс15 Ed7+ 7 Фе5 wins after 7...Be7+ 8 Фd6 Bh7 9 Феб or 7...Bh7 8 Феб JLel 9 We8+ Фg7 10 W7+ ФЬб 11 W6+ ФЬ5 12 Фf5) 6 ФЬ5 (White cannot take the bishop because of the skewer) Bb7+ 7 Феб Bh7 (now White must lose a tempo) 8 Фd5 Bd7+ 9 Фе5 and White transposes into the note to Black’s 5th move. lb) 2...i.e7 3 Wf7! Bb7+ 4 Фс2 Ea7 (4...Bc7+ 5 ФdЗ Bd7+ 6 Фс4 Ec7+ 7 Фс15 wins after 7...Ba7 8 Феб or 7...Ec5+ 8 Фе4 Ec7 91Hfh5-t- Фg8 10 Wg4+ leading to the capture of Black’s rook) 5 ФdЗ Ba3+ 6 Фе2 Ba7 7 Ф« Ea3+ 8 ФГ2 i.h4+ (or 8...Ba7 9 Фе2 Bb7 10 Wh5+ Фё7 11 1Brg4+ winning the rook) 9 Фе2! Ea5 10 Wf8+ ФЬ7 11 Wf4! Eh5 (after ll...Ea2+ 12 Фdl Bal+ 13 Фс2, material loss cannot be postponed any longer) 12 W7+! ФЬб 13 Ф«! Ba5 (13...Bg5 14 Wf6+! ФЬ7 15 Ш Eh5 16 Ш7+ ФЬб 17 Фё4 or 13...JLg5 14 We6+ Фё7 15 Фё4 Bh6 16 W7+!) 14 W8+! ФЬ7 15 Ш Ea3+ (15...Bh5 16 Wf7+) 16 Фg4 Ag3 17 Wf7+ and 18 W8+. 2) 2 ФЬЗ Де7 (2...ЕЬ7+ 3 Фс4 wins as in line 1) 3 Wf7! Ea3+ 4 Фс4! (not 4 Фс2? ВеЗ! 5 Wh5+ Фg7! 6 1B,g4+ ФЬб! drawing) ВеЗ (Dobrescu thought this move draws; 4...Ba4+ 5 ФdЗ Ba3+ transposes to line lb) 5 Ф<15! (this finesse is hard to see; 5 Фd4? Eel! 6 Ш Веб! draws) Bel (5...JLd8 6 Феб wins af- ter 6...Bc3+ 7 ФЬ5 Bd3 8 W8+ ФЬ7 9 W5+ or 6...JLe7 7 Ш Ee6+ 8 Фd7! Be2 9 Ж14+) 6 Ш (threaten- ing 7 Wh2+ and 8 Wg3+) Bdl+ 7 Феб JLd8 8 Wh6+ followed by ^6+ and Wh5+, winning the rook, Consider the starting position W#f7 v ВФЬ8 Jlg8,JLd8. If we ig- nore the white king then it becomes clear that Black to play must lose material. A rook move along the g- file is decisively met by W8+, while
254 Secrets of Pawnless Endings the bishop moves ...JLg5/a5/h4 lose to Wh5+ and ...JLb6 loses to W6+. Therefore Black’s only drawing chance is to exploit White’s king. Dobrescu systematically analysed this family of positions, and his re- sults indicated that the situation was very complex. He claimed in 1973 that Black’to play can draw if White’s king starts on e5 or bl. Both these claims are false, and the situation is much simpler than Dobrescu be- lieved. In fact White to play wins wherever his king starts, except on the very unfavourable squares a8, b8, c8, e8 and h5. White wins even with Black to play if his king starts on one of the starred squares (с 1 is not starred): 367 +/= In other words, White normally wins except in the case that Black is to play and he can give an immediate bishop check to escape from his dif- ficulties. Many of these positions have al- ready been analysed. For example, with White’s king on al and Black to play, l...Egl+ 2 Фа2! leads to line 1 of diagram 366. It is interesting to note that Dobrescu’s evaluation of this position changed between 1973 and 1974! The position with Wi’bl and Black to play is given in ECE as a draw, but we already know that it is a win. From diagram 365 we can see that the position with Wi’el is a draw with Black to play after l...JLh4+! 2 Фе2 Eg2+, although 2...JLg3 is even simpler. The only positions contain- ing new ideas are those with WФe5, WФh5 and WФc5. With WФe5 and Black to play, White wins by l...JLa5 (or l...Eg5+ 2 ФГ4 Eg8 3 ФfЗ) 2 Wh5+ Фg7 3 Феб JLd2 (3...±d8 4 1Brf7+ ФЬ8 5 ФТ5 wins after 5...Eg5+ 6 ФГ4 or 5...JLa5 6 Wh5+ Фg7 7 Wg6+ ФГ8 8 W6+ Фе8 9 Феб) 4 We5+ Фg6 5 We4+ ФЬб 6 Whl+ Фё6 7 W3 ФЬб 8 Wh3+ Фg6 9 Ж13+ picking up the bishop. With WФh5 and Black to play l...JLg5 is simplest (l..JLh4 also draws), while White to play cannot improve his po- sition. With WФc5 Black draws by l...JLb6+! (not l...Eg5+? 2 Фс4 as in line la of diagram 366) 2 Феб (2 ФхЬб Eg6+! draws) JLgl!. 8.5: Staircase manoeuvres This occurs when the queen gradu- ally approaches the enemy king along a zigzag path. We have already seen a limited staircase manoeuvre in diagram 351, but Pogosiants man- aged to extend it to cover the whole board. (368): White wins by 1 gSW and now:
QUEEN V ROOK AND BISHOP 255 368 +/+ Pogo slants, 1980 Kizliarski Pravda 1) 1,.ЛЬ2 2 Wg7 Фа2 3 Wf7+ *al 4 Wf6 Фа2 5 We6+ *al 6 We5 Фа2 7 Wd5+sfcal 8 Wd4 *a2 9 Wc4+ Фа1 10 Wc3 Фа2 11 Wa3 mate. 2) 1„ЛЬ7 2Wh8+! Фа2 3 Wc8! Eb3 (3...Bh7 4 ФЬ4! Bh4+ 5 ФеЗ! Ea4 6 We6+ *al 7 We5 Ee4 8 Wf6 wins) 4 Wc4! Фа1 5 Wd4+! Фа2 6 Wd2+ Eb2 7 Wd5+! as in line 1. 3) L.JIb32Wg7+!*a2 3Wg2+! Eb2 4 Wd5+ Фа1 5 Wd4 and wins as in line 1. Such manoeuvres invariably in- volve pinning the rook, but Black’s king doesn’t necessarily have to be in the comer. (369): Here the solution is 1 Wc4+! and now: 1) l...*d8 2 Wc5 JLel (2...Bd3 3 Wf5 wins) 3 Wb6+ *d7 4 Wgl JLf2 (4...Be2 5 Wg4+) 5 Wg4+ Фе8 (or 5...Феб 6 Wa4+) 6 Wf5 i.d4 7 Wb5+ followed by a check on a5 or b4 win- ning the rook. 2) l...Ac7 2 Wg4+! Ed7 3 *f8! 4>d8 4 Wg5+! Фс8 5 Wf5! *d8 6 369 +/= Moreno Ramos, 1978 (end of study; version) Roycroft Jubilee Tny. Wf6+! Фс8 7 We6! *d8 8 We8 mate. Just as with some of the other ideas we have explored, some com- posers have become carried away with the theme and have strayed into unsoundness. The following study is one example. 370 +/+ Dobrescu, 1960 Revista Romana de Sah
256 Secrets of Pawnless endings (370): After 1 h8W+ ФЫ 2 Wh7+! Фа1, Dobrescu’s win involves bring- ing the queen to d4 with a staircase and then playing Ф<12. However, the staircase isn’t necessary and White can win much more quickly by 3 Фd2 and now: 1) 3..JIg3 4 Be4 ЕаЗ 5 Ж14+ ФЫ 6 1ЙЪ6+ winning after 6...JLb3 7 ФсЗ! or 6...Фа1 7 Фс2 JLb3+ 8 Фс1!. 2) 3...i.c4 4 Wh4 JLd3 (4...±a2 5 Ж14+ is line 1, while 4...JLa6 5Wb4 Фа2 6 Фс1 is clear) 5 Wb4 Фа2 6 Фс1! wins. 3) З...Де6 4 Wg7+ Фа2 5 Фс1 ЕЬЗ 6 Wa7+! ЕаЗ 7 Wf2+ and 8 We3+. 4) 3...±d5 4 Wc7 Фа2 5 Wc2+! Фа1 6 Wc5 Ba2+ 7 Фс1 wins. 5) 3..1Ы 4 Wg7+ Фа2 5 Фс1! is easy. 8.6: Zugzwang Of course, zugzwang is a popular idea with study composers, and Dobrescu in particular has tried to discover positions of reciprocal zug- zwang. However, the following ex- amples show that he has only achieved intermittent success. (371): White to play wins easily by 1 Фd6 JLh3 (1 ...Ea8 2 Wb5+ Фа7 3 Фс7) 2 Wb4+ and 3 ШЗ+. Do- brescu claimed that Black to play can draw by l...±d7 (l...JLh3 2 Wb6+ Фс8 3 Wc6+! Фd8 4 Фd6 Ec8 5 Wd5) 2 Фd6 i.c8 (2...±e8 3 Wc7+ Фа8 4 Фс5 is the WФe5 analysis just above), in other words that the position arising after 2...JLc8 is 371 +/- Dobrescu, 1973 Compozitia Sahista in Romania reciprocal zugzwang. However, White to play can win by 3 1ЙЪ4+ Фа7 (З...Фа8 4 Wa4+ ФЬ7 5 Wa5) 4 Wd4+ ФЬ7 (4...Фаб 5 Фс7) 5 We3 (now Black is in zugzwang) Фа8 (5...Ea8 6 Wb3+) 6 ШЗ+! ФЬ7 7 Wa5 and White has transferred the move to Black, with an easy win as before. 372 +/- Dobrescu, 1973 Compozitia Sahista in Romania
queen v Rook and Bishop 257 (372): This study was intended as an example of winning by transfer- ring the move to Black. It is true that Black to play loses quickly in the di- agram: 1...Ве2(1...Ла521Ъ8+ФТ7 3 W6+ *g8 4 *g6) 2 Wh8+! Фе7 3 Wh4+! *d7 4 Wa4+! Фе7 5 Wb4+ and the next check wins the rook. White to play wins most quickly by 1 Wh6+! *f7 (or l...*g8 2 Wg6+! <S?f8 and now 3 Wh7 wins as above, or 3 transposing to the main line) 2 Wg6+! Фе7 3 We6+! *f8 4 Wd6+ ФТ7 (4...*g8 5 *g6 and 4...±e7 5 Wh6+! *f7 6 Wh7+ *f8 7 i’gb win at once, while 4...'4’g7 5 Ж17+ leads into the main line) 5 Wd7+ *f8 (5...±e7 6 We6+! *g7 7 ^6+! ’A’fS 8 ЧЙ^Ьб-ь! wins as in the last note) and now Dobrescu gave 6 !ЙЪ7, returning to the starting posi- tion with Black to move. Unfortu- nately 6 i’gb wins instantly. Dobrescu wasn’t always wrong; the following two positions are in- deed reciprocal zugzwang. (373): Dobrescu correctly identi- fied this position of reciprocal zug- zwang. With Black to play l...Bb3+ 2 Фа4! Bb8 3 Wc6+ Фа7 4 Фа5 БЫ 5 Wc7+ Bb7 6 Wc5+! ФЬ8 (6...Фа8 7 Ж:8+) 7 W8+ wins. But White to play cannot win, for example 1 Фа4 Jlb3+ 2 Фа5 Bb7 and everything is defended, or 1 Ж17 JLb3! and White has no check on the а-file, or 1 Wc5 ФЬ7! 2 Фа4 Bc8! 3 Wb5+ Фс7! and Black escapes. (374): This position is one of the more interesting reciprocal zug- zwangs. White to play loses after 1 Bal e6+ 2 ФЬ7 W7+ 3 Фа8 (or 373 =/- Dobrescu, 1973 Compozitia Sahista in Romania 374 Dobrescu, 1967 (end of study) 3rd Pr., Problem else З...Ш8+ and 4..>g7+) Ш5+ and 4...1йге5+. Black to play cannot win, but White must defend very accurately. The main line’runs l...We6+ 2 ФЬ7! Wd7+ 3 ФЬ8! (3 ФЬб? Wb5+) ФЬ5! 4 Bb6+! Фа5 5 Фа8! (5 Bb2? Wd8+ 6 ФЬ7 Ш5+ 7 Фс8 Wg8+ and 5 Bbl? We8+ 6 Фс7 ^еб-ь 7 Фd8 Wh8+ win for Black)
258 Secrets of Pawnless Endings Wc7 6 JLb8! (not 6 Eb8? Wc6+ 7 Bb7 Фаб) 'SFxbe 7 JLc7! Wxc? stale- mate. In the next position Dobrescu missed an alternative win using a re- ciprocal zugzwang. This particular pbsition is one member of a large family of reciprocal zugzwang posi- tions. 375 Dobrescu, 1973 =lst Pr., Romanian Ch (375): First of all, let’s follow Dobrescu’s analysis. This runs 1 *g6 i.f8 (1 ...JLh8 2 Wb7+ wins af- ter 2...*d8 3 ФТ7 or 2...*d6 3 *f7) and now: 1) 2 ФГ5 (Dobrescu’s move is the fastest) i.g7 (2...Ec8 3 Wb7+! *d8 4 Феб! Bc7 5 Wd5+ Фе8 6 Wa8+ mates) 3 Ж:5+ Фf7 (or 3..^d8 4 WaS-b Фе7 5 Фg6 followed by Wc7+; in this line Dobrescu gave 4 Ж16+, which is much slower) 4 Wc4+ Фе7 (4..^f8 5 Фg6! Ee7 6 Wc8+ Ee8 7 Wf5+) 5 Фg6 i.e5 6 W7+ Фd8 7 >15+ followed by ФП wins. 2) 2 Wb7+ (an alternative win) Фd6 (2..^d8 3 >6 JLe7 4 >15+ followed by Фf7 wins) 3 Wb6+ Фd7 4 Фf7 Ed8 (Dobrescu thought this was a draw, but White has a quick win) 5 >j7+! Фd6 6 Фf6! reaching a position of reciprocal zugzwang with Black to play. The only move not to lose at once is 6...Ee8, but then 7 Wb6+ Фd7 8 Wb5+ Фd8 9 Фf7 wins. Now that we have seen the recip- rocal zugzwang of line 2, it is possi- ble to find another win from the initial position: 1 >j7+ Фf6 (or 1..ФТ8 2 Wf3+! Фg8 3 >15+ and now З...Ф117 is forced to prevent Фg6, but White wins in any case af- ter 4 >5+ Фg8 5 Фg6 Ee7 6 >15+ ФТ8 7 >8+ Be8 8 >3+) 2 >3+! Фе7 (Dobrescu gave 2...Феб 3 Фg6 Ee7, but 4 >6+! Фе5 5 Фg5! is an echo of the reciprocal zugzwang given above) 3 Фg6 JLf8 (3...JLe5 4 W7+! Фd8 5 >15+! and 6 ФП) 4 Wb7+ winning as in line 2 above. The position with WФg6,>7 v ВФе6,Бе8,.£^8 may be modified in various ways while preserving the reciprocal zugzwang. For example, it may be translated in the direction of White’s first rank by one, two, three, four or five ranks, moved to the left by one or two files, or to the right by one file. The total number of reciprocal zugzwang positions in f v E+JL is very large, 372 in all, and we have no space to attempt any kind of classifi- cation here, even though many of the positions do appear to fall into families. In view of this, we content
Queen v Rook and Bishop 259 ourselves with a few interesting ex- amples and leave the rest for future authors. The following position is one of the best W v B+JL studies ever com- posed, with 14 consecutive ‘only moves’ for White, plus a staircase and a reciprocal zugzwang! 376 +/= Dobrescu, 1989 Hildebrand Jubilee Tny. (376): White wins by a subtle ma- noeuvre: 1 1ЙЪ2+! (and not 1 ^сб? Bd3+! 2 ФЬ4 JLf7! 3 *g5 Bg3+, nor 1 ФЬ4? Bd4+ 2 *g5 Ed5+! 3 *f6 Bd6+ 4 Фе7 Ee6+ 5 <4)d7 ФЬ7, with an easy draw) ФЬ7 2 1ЙЪ7+! ФЬ8 3 We7! (3 Wb6? Bd7 4 W6+ Eg7! 5 ФЬ4 JLf7 draws) Bd3+ (3...Ed5 4 W6+! ФЬ7 5 ФЬ4! transposes to the main line) 4 ФЬ4! (not 4 i’g4? Edl! 5 We5+ ФЬ7! 6 Wc7+ ФЬб! 7 Wc6+ *g7! 8 Wc3+ ФЬб! 9 th8+ JLh7! 10 WS-t- Фg6! and, despite the ap- parently passive position of Black’s pieces, White is unable to make progress) Ed5 (now 4...Edl fails to 5 We5+ ФЬ7 6 Wh5+, while 4...Eb3 5 Фg4! wins after 5...Bb5 6 Ж16 Bb7 7 We5+ Bg7+ 8 ФЬ5! ФЬ7 9 Wf5+! ФЬ8 10 W6 or 5...JLc4 6 Wd6 JLf7 7 W8+! JLg8 8 Wh6+ JLh7 9 W6+) 5 W8! (a wonderful move; after 5 W6+? ФЬ7! the reciprocal zug- zwang arrives with White to move, and then neither 6 Фg4 Edl! nor 6 '&el+ Фg6! is any help to White) ФЬ7 (5...Bb5 6 Wh6+ JLh7 7 W6+ Фg8 8 Wd8+ and 9 Wd7+) 6 W6! (by losing a tempo, White has given Black the move in the reciprocal zug- zwang) Ea5 (6...Eb5 7 ^7+! ФЬ8 8 Шб wins as in the note to Black’s fourth move, while 6...Bd2 7 W5+ ФЬ8 8 We5+ ФЬ7 9 Wh5+ and 10 Wg5+ wins the rook) 7 We7+! ФЬ8 (7..^g6 8 Ж16+) 8 Wd6! Ea7 9 Ш4+! Bg7 10 ФЬ5! ФЬ7 11 Bj4+! ФЬ8 12»е5! ФЬ7 13Wf5+! ФЬ8 14 W6! and wins. Timman, 1991 (end of study) Schaakwerk II (377): This position arises (with Black to play) in the course of Tim- man’s study. Even though the study
260 Secrets of pawnless endings itself is unsound at an earlier stage, this position is noteworthy because White can only win by using a recip- rocal zugzwang. The analysis runs: 1) 2 Wd7 Даб (2...JLh3 3 Ж15 *g7 4 Wb7+ ФЬ8 5 Wb2+ ФЬ7 '6 Wc2+ wins the bishop) 3 Ш5+ ФТ8 (З...ФЬ8 4 Wf7 Ea5+ 5 ФЬ4 i.g2 6 Wf4 Ea6 7 Ж14+ ФЬ7 8 Wd3+) 4 W3+ *g7 5 Wf5 (White cannot take the bishop because of perpetual check on g6 and h6) JLc4 6 Bj5+! *g8 7 Wb8+ *g7 8 Wb7+ and 9 Ж:8+. 2) 1...ФГ8 2 Wc8+ *f7 3 Wb7+ Фе8 4 Wa8+ *d7 5 Whl He5+ (5...He3 6 Wb7+ Фе8 7 Wb8+ wins the rook) 6 ФТ4! Hf5+ 7 Фе4! JLg4 8 Wh4 and the bishop is trapped. 3) l...JLg2 (the best defence) 2 Wd7! Hc6 (2...He3 3 Wg4 JLh3 4 Wc4+ Леб 5 Wf4 followed by *f6, and Black is helpless) 3 'Hell (and not 3 WeS-h? i’g?! 4 ^7+ i’gS! and now White is in zugzwang, for ex- ample 5 We2 *f7, 5 ФЬ5 JLf3+!, 5 ФЙ JLh3+! or 5 <S?f4 Eg6!) and now we have a position of reciprocal zug- zwang, with Black to move: За) 3..1M 4 *f5 Eh6 (4...±f3 5 ФТ4 wins as in line 3b) 5 Wg5+ ФЬ7 6 We3 *g7 (6...Hh5+ 7 *f6 Eh6+ 8 Фе7 *g6 9 We5 Eh7+ 10 Феб! Hh6 11 Wg3+ ФЬ7+ 12 Фе7 Лев 13 Wd3+ Фg7 14 Wc3+ Фё8 15 Wc4+ ФЬ8 16 Фf7 wins) 7 Wgl+ Фf8 (7...Ф117 8 Wbl Фg8 9 Фg5 Eh7 10 Wd3 Фg7 11 Wc2 transposes to the main line) 8 Фg5 Eh7 9 Ж14 ФТ7 10 Wc4+ Фg7 11 Wc2 JLf3 (ll..^?g8 12 Фg6 Hg7+ 13 ФЬб! Hb7 14 Wc4+ ФГ8 15 W1+ Фg8 16 Wgl+ ФЬ8 17 Wd4+ Фg8 18 Фg6 wins) 12 Wc3+ Фё8 13 Wb3+ Hf7 14 Фg6! JLe4+ 15 ФЬб! JLf5 (after 15...ЛЫ 16 Wg3+ ФТ8 17 Wb8+ Фе7 18 Wb4+ Фd7 19 Ж12+, White wins the bishop) 16 1ЙЪ8+! Hf8 17 Wg3+ ФТ7 18 Wg7+ Фе8 19 We5+! and 20 Фg7 wins. 3b) 3...i.f3 4 ФГ4 JLhl 5 We8+ Фg7 (5...Ф117 6 Wh5+ Eh6 7 Wf7+ ФЬ8 8 Фg5 Eh2 9 Wf8+ ФЬ7 10 Wf5+ Фg8 11 Wc8+ and 12 Wc7+) 6 We5+ Фё8 (б...Ф86 7 Wg5+ ФЬ7 8 ^115+ wins as after 5...Ф117) 7 WliS Eel (7...Ef6+ 8 Фg5 Efl 9 We8+ Фй7 10 Bj7+ wins after 10...Ef7 11 We5+! Фg8 12 Фg6 or 10...Фй8 11 ФЬб) 8 ФgЗ Hfl (8...Hgl+ 9 Ф12 Eg2+ 10 sitf 1 Ea2 11 Wg6+ picks up the rook) 9 ФЬ2 Фg7 (9...Eel 10 Wh4 Eal 11 Wg4+ ФЬ7 12 Wh5+ and the rook is lost) 101ЙЪ5 Eel 11 Wb2+ Фё8 12 Wb3+ ФЬ7 13 Wh3+ and 14Wg3+. 3c) 3...Ecl 4 We8+ ФЬ7 5 Ш7+ ФЬ8 6 Wd4+ Фg8 (6...Ф117 7 Wa7+ ФЬ8 8 Wb8+ ФЬ7 9 Wh2+) 7 Wg4 and the coming discovered check will be fatal for Black. 3d) З...ФЬ84^7Ес5+(4,..Ес1 5 WeS-b as in line 3c) 5 Фf4 Hc6 6 W8+ ФЬ7 7 We7+ ФЬ8 8 Wg5 Ec4+ 9 ФgЗ and White wins mate- rial. These positions represent the bounds of pre-database knowledge. We now give a couple of computer- generated positions for the reader to puzzle over. The first is a lengthy re- ciprocal zugzwang. (378): White to play draws, but with Black to play, White can win in
Queen v rook and Bishop 261 378 =/- Original 38 moves. Here is the Black to move analysis: 1) 1..JU4 2 Wd3 Bc4 3 Wd7+ ФЬ8 4 Wb5+ Фа7 5 *d7 Фа8 (or 5...Jlg8 6 Wf5 and White wins after б...ФЬ7 7 Wbl+Фа8 8 Whl+ФЬ8 9 Wh2+ ФЬ7 10 Wg2+ or 6...Bd4+ 7 Фе7 Bd5 8 Wf2+ Фаб 9 Wf6+) 6 Фd6 Ecl (6...Ef4 7 Фс7 Ec4+ 8 ФЬб ФЬ8 9 We5+) 7 Wg5 Bdl+ 8 Фс7 Bd5 9 Wf6 and wins. 2) 1...ФЬ6 2 We4! JLh5 3 We6+ Фа7 4 Wd7+ ФЬб 5 Wd6+ wins the bishop. 3) 1...ФЬ8 2 Wh2+ Фа8 3 We5 Ef2 4 Фс7 Ec2+ 5 ФЬб and wins. 4) 1„.Фа6 2 We4! ЕЬЗ 3 Фс7! ЕсЗ+ (З...ФЬ5 4 Wf5+ Фаб 5 Wf6+) 4 Фd6! (4 Фd7? Фс4 draws) ФЬЗ (4...±c4 5 Wei! Bc2 6 Wdl Ea2 7 Фс5 Фе2 8 Wd6+! Фа7 9 Wd7+ ФЬ8 10 We8+ and 11 Wf7+ wins the rook, while 4...Ec4 5 Wa8+ ФЬб 6 Wd8+ Фаб 7 Wf6 Ag8 8 Wg6 Bc8 9 Фd7 picks up material) 5 WFt>4! Eh3 (5...Bg3 6 Фс7 Bg7+ 7 Фd8 Eg8+ 8 Фе7 Bg7+ 9 Ф16 Ef7+ 10 Фg5 Ef3 11 Wd2! Фс4 12 Wd6+! ФЬ5 13 Wb8+ Фс5 14 Wc8+ and the next check will win something) 6 Фс7 (White can also play 6 Фd7, but not 6 Фе7? Ed3! drawing) Bh7+ 7 Фd8 Bh8+ (7...Bh3 8 Wd6+ Фа5 9 Wc7+ ФЬ4 10 We7+! Фа5 11 Wg5+ ФЬб 12 Wg6+ Фа7 13 Wgl+ ФЬ8 14 Wb6+ Фа8 15 Wa6+ ФЬ8 16 Wc8+ and 7...JLg8 8 We4 Ea7 9 Фс8 JLh7 10 Wc6+ Фа5 11 ФЬ8 Еаб 12 Wc7+ lose far more quickly) 8 Фе7! Bh7+ (8...Bh3 9 Wd6+ Фа5 10 Wd2+! Фаб 11 We2+ Фа5 12 Фd6 Ehl 13 We5+! Фаб 14 Фс5 Bcl+ 15 ФЬ4! Ebl 16 Wb5+ Фа7 17 ФеЗ wins) 9 Ф18 Bh8+ (9...Bh3 10 Wd6+ Фа5 11 Wc7+ ФЬ4 12 We7+! Фа5 13 Wg5+ Фаб 14 Wg6+ Фа7 15 Wgl+ ФЬ8 161Ъ6+Фс8 17 Wd4 Фс7 18 Фе8 Bf3 19 We4 Af7+ 20 Фе7! Bf2 21 We3 Bf5 22 Wa7+ and 23 Wd7+ wins) 10 Фg7! (now Black re- ally has to play ...Eh3, but in the meantime he has forced White’s king as far away from the queenside as possible) Eh3 11 Wd6+! Фа5 12 Wd2+! Фаб 13 Фg6! (White’s king is now too remote for the simplistic winning lines given earlier) JLg8 (13...Bg3+ 14 Ф15 Bh3 15 Фg5 i.g8 16 Wd6+ Фа5 17 Фg4 Ehl 18 Wc5+ and 19 Wc6+) 14 We2+! ФЬб (14...Фа5 15Фf6Bh716 Wel+Фаб 17 Wfl+ Фа5 18 Wf5+ ФЬ4 19 Фе5 Be7+ 20 Фd4 Фа4 21 Wc2+ ФЬЗ 22 Wc6+! wins the rook) 15 Wf2+! Фс7 16 Wc5+! ФЬ7 (16..^d7 17 Ф16! Bf3+ 18 Фе5! ЕЬЗ 19 Wd6+! Фе8 20 Фf6! Bb7 21 Wc6+ Bd7 22 We4+ wins the bishop) 17 Фg7! (White has improved his queen position,
262 Secrets of pawnless Endings and now he goes on the attack with his king) Eg3+ (17...JLb3 18 Wb5+ Фс7 19 Wf5! Eg3+ 20 *f6! *d8 21 Фе5 Фе7 22 *f4 Hg7 23 We5+ *f7 24 Wc7+ and the bishop is lost) 18 *f8! TXg2 19 Wb5+! Фс7 20 Фе7! Eg7+ (2O...Eg6 21 Ж17+ ФЬб 22 Wd4+ ФЬ7 23 i>f8 JLb3 24 Ж17+! ФЬб 25 Ж13 Ef6+ 26 Фg7 Ef7+ 27 Фg6 Фа2 28 Ш4+! wins) 21 Фе8! Eg2 (21...Eg6 loses as in the last note) 22 Wc5+ ФЬ7 23 Wc3 (not the most obvious move) Eg6 (23...JLd5 24 Фd7! Eg6 25 Wc7+ Фаб 26 We5! Фсб+ 27 Фс7! Фа4 28 Bj2+! Фа7 29 We3+ Фа8 30 We4+! Ec6+ 31 Фd8! ФЬ5 32 Ш5! wins) 24 Фd7! Феб+ (24...i.h7 25 Wf3+ ФЬб 26 Wf7 Eh6 27 Wb3+ Фа5 28 Wc3+ Фа4 29 Ж14+ ФЬ5 30 We5+ Фаб 31 Фс7 JLd3 32 Bd+ФЬ5 33 Wb2+) 25 Фd8! JLg8 26 Wc7+ Фаб (2б...Фа8 is met the same way) 27 WcS ФЬ7 (27...Eb6 28 Фс7! Eb7+ 29 Феб! ЕЬЗ 30 Wd4! ЕЬ5 31 Wal+ Ba5 32 W1+ Фа7 33 Wgl+) 28 We7+ ФЬб (28...Фаб 29 Фс7 Фс4 30 We5 Eg8 31 Феб! Ес8+ 32 Фd7! Eg8 33 Фс7 Eg2 34 Шб+ Фа5 35 Wb6+ and 36 Wc6+) 29 Wb4+ Фаб 30 Фс7 Eg7+ 31 ФЬ8 Bg5 32 Wa4+ ФЬб 33 Wd4+ ФЬ5 34 Bj3 Eg2 35 We5+ Фаб 36 Wal+ Ea2 (Зб...ФЬ6 37 Wa7+ and 38 Wb7+) 37 W6+ followed by 38 Wg5+. With White to play, the most obvi- ous move is 1 'й'еЯ (1 Wcl is also met by l...Eb3!), but Black defends by 1 ...ЕЬЗ! 2 Фс7 Ec3+! 3 Фd6 ЕЬЗ!, and his king is in a much better posi- tion on a7, so he draws after 4 'ЙЫ-ь ФЬ8!. The alternative 1 Wg? ФЬб! 2 Ж14+ Феб! also allows Black to es- cape. Secondly, as is traditional, this is the longest win in the ending of W v Б+Ф (42 moves). (379): It is surprising that White can win this position, since Black’s pieces do not appear to be especially badly coordinated and in addition White is in check. The main line runs 1 Фd8! Bg5 2 Wc4! ФЬ5 3 Ш+! Eg6 (the various king moves all transpose into the main line at move 11) 4 We3+! ФЬ7 (4...Ф115 5 Wf3+ ФЬ4 6 W4+ ФЬ5 7 W5+ transposes to the main line, while 4...Eg5 5 Фе7 ФЬ5 6 W3+ ФЬ4 7 Ш+ ФЬ5 8 Ф?6 Eg6+ 9 ФТ7! Eg5 10 We4 Даб 11 Whl+ Фg4 12 Ш1+ ФЬЗ 13 1ЙЪЗ+ loses much more quickly) 5 Bj7+! ФЬб (5..Ф^8 6 We4! Eg5 7 ^ебч- ФЬ7 8 Фе7 leads into the main line) 6 Wf8+! ФЬ7 (6...ФЬ5 7 W5+ transposes) 7 W,f7-t-! ФЬб 8 Wf4+! ФЬ5 (8...Ф117 9 W2+ Bh6 10 Wc2+ Eg6 11 Фе7 Лсб 12 ФП! JLd5+ 13 Ф*8! Леб 14 Wh2+! Eh6
Queen v Rook and Bishop 263 15 Wc7+ *g6 16 Wg7+ ФЬ5 17 WeS-t- and 18 ’A’g? wins) 9 W5+! Bg5 10 Wh3+! *g6 11 ^еб-ь! (White returns to the position at move 3, but having deprived Black of the de- fence ...Bg6) and now: 1) ll„.*g7 12 Фе7Пс5 131^4+ ФЬ7 14 We4+ *g8 15 Wg2+ ФЬ7 16 Wh2+ and White wins the enemy rook. 2) 11...ФЬ5 12 Фе7 ФЬ4 13 Ш+! ФЬЗ (13...*g4 14 We4+! ФЬЗ 15 W3+ transposes to the anal- ysis of 4...Bg5 above) 14 Whl-b <S?g3 (14...i>g4 15 1B,e4+! is the last note) 15 We4 Лаб (15...Bh5 16 Wg6+ ФН4 17 Wd6 *g4 18 Ш1+ ФЬ4 19 W3 Bg5 20 W4+ is another trans- position) 16 ^еЗ-ь ФЬ4 17 Ж14+ ФЬ5 18 *f6 Bg6+ (18...ЛЬ7 19 Wdl+! Eg4 20 Wd8! Bf4+ 21 Фе5! Bb4 22 Wf8 Bb2 23 Wc5 *g6 24 *f4 ФЬ7 25 Wh5+ *g8 26 Wg6+) 19 ФТ7! Bg5 (19...ЛЬ7 20 #h8+! Eh6 21 We5+ *g4 22 Ж14+ *f5 23 Wc5+ *g4 24 Wb4+ *f5 25 Wb5+ *g4 26 *g7 wins) 20 Ш1+ Eg4 21 Ш5+ ФЬ4 22 Wd8+ ФЬЗ (22...Bg5 23 *f6 Bg4 24 *f5+ ФЬЗ 25 Wh8+! Eh4 26 Wc3+! ФЬ2 27 Wb2+) 23 Wi8+! Фё3 24 Wc3+! ФН2 25 Ж12+! ФgЗ 26 Ш6+ Ef4+ 27 Фg6! and wins. 3) 11...Ф117 12 Фе7! Лсб (a fan- tastic defence, based on the potential perpetual check on g7 and g8) 13 #h3+! Фg6 (13...Фё7 14 Wc3+! ФЬ7 15 Wc2+ Bg6 16 Ф(7! trans- poses into the note to Black’s 8th move) 14 Ж13+! Bf5 (14...ФЬ5 15 We2+ ФЬб 16 Wh2+ Фё7 17 Wb2+! ФЬ7 18 Фс2+! Eg6 is the same as the previous note) 15 Ж16+! Фg7 (once again the bishop is immune) 16 'йкеб! Ef3 17 WeS+J with the fur- ther branch: За) 17...ФЬ6 18 Фd6 ЛЬ7 19 'Hell Ла8 20 ^еб-ь and now both 2O..^g7 21 We5+ and 2О...ФЬ7 21 WeS transpose to line 3b of diagram 377. 3b) 17...ФЬ7 18 Фd6 Ла8 19 We8 is the same as line 3a. 3c) 17...Фй6 18 Ж16+ Фё7 19 Wd4+ ФЬб (19..Ф^6 20 Wgl+ ФЬ7 21 Wc5 and 19...Ф117 20 Wc5 both transpose into the main line) 20Wb6 Фg7 (2O...Bc3 21 Фf7 Bf3+ 22 Фg8 Bg3+ 23 ФЬ8! Bg6 24 We3+! Bg5 25 We6+ Bg6 26 We5 Ла8 27 Ш+ ФЬ5 28 Wf5+ Bg5 29 Wh3+! Фg6 30 We6+ and 31 We8+ wins) 21 Wgl + ФЬ7 (21...ФЬ6 22 Wcl+ Фg7 23 Wg5+ ФЬ7 24 Фd6 is line 3b of diagram 377 again) 22 Wc5 Ла8 (22..^g7 23 Wg5+ transposes to the previous bracket, while 22...ЛЬ7 23 'Hg5 reaches the reciprocal zug- zwang given in diagram 377) 23 Wh5+ Фg7 24 Wg5+ ФЬ7 25 Феб Ef8 (alternatively, 25...Лсб 26 Фd6 is line 3b of diagram 377) 26 We7+ Фg8 27 Wc5 and now we have trans- posed into line 3a of diagram 377. For the sake of completeness, we give a maximal length line leading to the 42-move win: 27..^g7 28 Ш17+ Фg8 29 Wa2 ФЬ7 ЗО.Фе7 Eg8 31 Wc4 Фё7 32 Wb3 Лсб 33 Wc3+ ФЬ7 34 Wc2+ Bg6 35 Ф^7! Лd5+ 36 Ф^! Леб 37 1Ъ2+! Bh6 38 Wc7+ Фg6 39 Wg7+ ФЬ5 40 Bj5+! Фg4 41 Фg7, capturing a piece next move.
264 Secrets of Pawnless Endings 8.7: The queen loses A rook and bishop can only win against a queen if there is an immedi- ate tactical sequence forcing mate or win of the qugen. This can only hap- pen if the king and queen are both in extremely b$d positions. We give a couple of examples, which will serve as light relief after the previous anal- ysis. 380 +/+ Rinck, 1936 Basler Nachrichten (380): White wins by playing 1 Sb7+! Фа8 2 Sc7l, and Black is totally helpless against the deadly threat of Ac6+. (381): Here White to play finishes Black off by 1 Ad6! Wd5 2 Bc6+!. Curiously enough, the position is also interesting with Black to play. In this case Black wins by l...wd5! 2 Bc6 Wb3+! 3 Фа5 Ш2+ 4 ФЬ4 Wb2+! 5 Фа5 ФЬ7! 6 Bc5 (6 Ec4 Wb6+ 7 Фа4 We6) Ш1+ 7 ФЬ5 Wbl+ and now Black picks up the bishop. 381 +/+ Rinck, 1936 Basler Nachrichten However, the majority of winning E+A v W positions arise after a pawn promotion by Black, in which case the newly created queen is ‘au- tomatically’ in a bad position. The following position is typical of such cases: 382 +/= Korolkov, 1931 (end of study) =lst Pr., Roter Sportintem (382): White cannot prevent the pawn promoting, but in this position
Queen v Rook and Bishop 265 he can allow Black to make a queen and still win: 1 ШЗ+ i>g2 2 Ae5 hlW 3 Sg3+! ФЬ2 4 ФТ2! and Black is helpless since 4...Wd5 loses to 5 Se3+!. The following position is the lon- gest possible win with П+А v W. (383): The immediate 1 JLc6+ Фа7 2 Да4+ leads nowhere because Black may reply 2...Wa6; indeed l...Wa6 is a threat which would nullify all White’s attacking ideas. Therefore White must play 1 Ab5! and now: 1) 1...#а12Ас6+!Фа7 3ПЬ7+! Фаб 4 Ab5+! Фа5 5 Ha7+! wins the queen. 2) l...Wf7+2 Ad7!Wa2 (forced) 3 Ac6+! Фа7 4 Sb7+! Фаб 5 Ab5+! and again the queen falls. 383 +/= 3) l...Wdl (Black prevents the mate by covering a4) 2 ПЬ2! (a fan- tastic move; there is no decent way to defend a2) Wai 3 Асб+! Фа7 4 Sb7+! Фаб 5 Ab5+! Фа5 6 Па7+! and takes the queen.
9 Queen v Rook and Knight In general tjiis ending, like that of v H+JL, is drawn. Many of the comments from the previous chapter also apply to this one. If Black’s pieces are all de- fended and are on reasonably active squares, then White’s winning chances are very slight. The most clear-cut defensive situation is when Black’s pieces create a blockade, for example if Black has i’g?, £>g6 and Ee5, the result is a draw no matter where White’s king and queen are. There are winning chances only if the initial position is unfavourable for the defender. The simplest possi- bility is that one of Black’s pieces is undefended and the queen can win it with a series of checks. However, there are many other possibilities. One case which often occurs with v Е+Ф but not with W v E+JL is that in which the knight is defended by the rook at long range. In this case the knight is often unable to rejoin the other pieces and the question is whether White can muster sufficient pressure to break the link between rook and knight. This ending has received much less attention than v E+JL, so we have fewer categories in our classification. 9.1: Undefended pieces 266 9.2: Stalemate 270 9.3: Zugzwang 273 9.4: The queen loses 281 9.1: Undefended pieces Sometimes all that is required is an accurate series of checks which eventually leads to the capture of a black piece. However, even this may not be so easy if there are several possibilities on each move. (384): 1 Wh7+! (not 1 Wa3+? 2>g3+!) *g2 (l...*g3 2 Wg7+! *f3 3 Wg4+! wins) 2 Wb7+! *h3 3 Wh 1+! *g3 4 ®gl+! *h3 5 Wg4+! ФЬ2 6 Ш+! 2>g3+ 7 *g4! Egl 8 Wh6+! *g2 9 Wd2+ *hl (9...*f 1 10 Si?f3 is equally effective) 10 ФЬЗ wins. Halberstadt, 1958 Problem
Queen v Rook and knight 267 In the second example. White starts with a quiet move and wins de- spite his relatively poor king posi- tion. 385 +/+ Rinck, 1948 1st Comm., Tijdschrift v.d. KNSB (385): 1 Wd4! 2>b4 (l...Eg3 2 Wf2 wins) 2 We3+! Фа4 3 Wa7+ (3 We8+ leads to the same thing) ФЬЗ 4 Wf7+! Фа4 5 Wd7+! Фа5 (or else Wh3+) 6 Wd8+! ФЬ5 7 Wb8+! Фс4 8Wf4+! Фс591ЙТ8+! ФЬ5 10 Wfl+ and wins the rook. Moreover, it is quite easy to over- look alternative wins in positions where White already has a large po- sitional superiority. The ending of W v В+Ф is very hard to analyse cor- rectly and even Rinck, normally a careful analyst, was not immune to oversights. (386): 1 Wf4+! Фа5 and now: 1) 2 Wc7+(Rinck’s method) Eb6 (the alternative 2...Фа4 3 Wa7+ Ea5 4 Wd7+ 2>b5+ 5 Фс4! ФаЗ 6 Wd2 also wins for White) 3 Wa7+! Ea6 4 Wc5+! 2>b5+ 5 Фс4! Eb6 6 Wb4+! 386 +/= Rinck, 1947 2nd Pr., Revista Romana de Sah Фаб 7 Фс5! ФЬ7 8 Wa5 and White wins the knight. 2) 2 Wd6 (slightly slower but equally effective) 4Sbl+ 3 Фс4! Фа4 (3...Eb7 4 Wd8+ Фаб 5 Фс5 Фа7 6 Феб ЕЬЗ 7 Wd4+ ФЬ8 8 Wf4+ and 9 Wa4+) 4 Wdl+! ФаЗ (4...Фа5 5 Wd8+ Фа4 6 Wa8+ is the same) 5 Wf3+ Фа4 6 Wa8+ Ba5 7 We8+! ФаЗ 8 Wei! Ba4+ 9 ФЬ5! Ea8 10 Wg3+ and 11 Wg2+. The defender can sometimes save an apparently hopeless position by making use of the tactical abilities of his pieces. In the next position the rook is the hero, indirectly defending the knight by means of a pin. (387): At first glance it seems un- likely that White can rescue his widely scattered pieces, but he suc- ceeds with precise play: 1 £rf5! Wb7 (l...Wc6 2 ФТ2! Wf6 3 Efl! demon- strates the basic idea) 2 Фgl! (not 2 Ea5? Wf3+ 3 Фgl Wdl+ and then 4...Wd2+) Wb6+ 3 ФП (this was the composer’s intention, but 3 ФЫ also
268 Secrets of Pawnless endings 387 =/+ Akerblom, 1978 1st Comm., Tidskrift for Schack draws as 3...Wc6+ 4 ФЬ2! Wc2+ 5 i’gl! Wc5+ is the main line) Wb5+ 4 *gl! Wc5+ 5 *g2! Wd5+ 6 *gl! and Black cannot make progress. Where there is a knight, there are often knight forks. In the next two positions the knight performs an amazing rescue job, saving the rook from apparently certain capture. (388): 1 ЕсЗ! Ш2 2 Ec5! (not 2 2if6+? *f5 3 Sf3+ *g6! and now 4 &e4 Wcl+ 5 ФЬ4 Wbl+ or 4 &g8 Wa5+ 5 ФЬ2 Wb5+ 6 Eb3 We5+ fol- lowed by ...ФЬ7, winning the knight in both cases) l4,d4 3 £te3! (3 Eb5? Фс4! 4 $5c7 Ж16+ wins) Wcl+ (Black cannot take the rook because of a knight fork) 4 ФЬ4! Wb2+ 5 Фа5! and the second knight fork al- lows White to escape by means of 6 &a4. 389 388 Kasparian, 1955 (end of study) Zvedza Dobrescu, 1965 3rd Pr., Vechemi Leningrad (389): 1 Sc4! (not 1 Eb5+? Фа7 2 Sa5+ ФЬб, nor 1 «кЗ? Ш1+! 2 5)bl Wa6-l-! and З...ШЬ6+, winning material in both cases) ФЬб 2 Eb4+! Фа5 3 Sa4+! ФЬ5 4 ФЬ2! We2+ 5 ФЬЗ! Ж11+ 6 ФЬ2! (a remarkable position; the knight forks provide ex- cellent indirect defence for the rook) 1B,e2+ 7 ФЬЗ and Black cannot make headway. The next example is far more complex, but unfortunately the com- poser overlooked an alternative draw
Queen v Rook and Knight 269 which takes much of the fun out of the study. 390 Rumiantsev, 1979 2nd Pr., Revista Romana de Sah (390): 1 2if4+! *f3 (1...ФП 2 Sbl+! Ф12 3 £)g6 draws) 2 Sc4! (the only move, using a knight fork to defend the rook indirectly) i’gS (or 2...ff7+ 3 2>g6! Wxc4 4 21e5+) and now there are two drawing con- tinuations: 1) 3 Ed4 (the composer’s inten- tion) and now: la) З...1йке5+ 4 ФЬб! (White must keep g6 clear for his knight; after 4 *g6? <d?f3! 5 Ec4 Wb5! 6 2kl3 1&e8+ 7 ФЬб ^ебч- the next check wins the knight) &f3 5 Sc4! Wb5 6 £ig6! draws. lb) 3..>g7 4 Ea4! We5+ (the line 4..>d7 5 Ed4! Wf5+ 6 ФЬб! if6+ 7 ФЬ5! is similar) 5 ФЬб! We3! 6 ФЬ7 (the composer’s move, but 6 Ec4 also draws; not, however, 6 Ed4? *g4! 7 Ec4 *f5! 8 *g7 Bj7+ 9 <S?g8 We8+ 10 i’g? Wb5 winning) We8 7 Bd4! W7+ 8 ФЬб (not 8 ФЬ8? ФТ2 9 Ed2+ Фе1 10 Be2+ *fl 11 Be4 Ш8+ and 12..Ж5+) Ш6+ 9 ФЬ5 (9 ФЬ7? <±>f3! 10 Ea4 1ЙТ5+ followed by ...Wb5 wins) 1ikg7 10 Ea4! repeating the position at move 4, and Black is unable to make progress. 2) 3 i’ge (a much simpler route to a draw, threatening <?5h5+ fol- lowed by Ef4) We8+ (З...Ф13 4 ФЬ5, or 3..>d6+ 4 *f5) 4 *f6 1ikf8+ 5 Фе5! and White’s king es- capes. In the final example, White has to tiptoe through a minefield and pro- duce a whole string of accurate moves in order to secure a draw. 391 Rinck, 1947 Dame centre Tour et Cavalier (391): Black ty play wins by 1...1йгс6+ followed by 2...1ЙЪ6+, so suppose that White moves first: 1 ФЬ2! (after other moves White soon loses the rook to checks) 18114 2 Ed5! (not 2 Ed7? W6+ 3 ФаЗ Wa6+ 4 ФЬ4 Wb6+ 5 ФаЗ Wa5+ followed by 6...Wb5+) and now:
270 Secrets of pawnless Endings 1) 2...Ш18+ 3 ФЬЗ! (3 Фс2? Wc8+! 4 ФЬЗ Wb7+ 5 Фс4 Wc6+! 6 Bc5 ^абч- 7 ФсЗ Wd3+ wins) WgS (S.-.Whl and 3...1ЙЪ8+ are also met by 4 Фс4, while З.-.'йкав 4 Ed4! ФеЗ 5 Ea4 draws easily) 4 Фс4 'Неб 5 Фс5 is safe for White. 2) 2...W6+ 3 ФаЗ! (3 ФЬЗ? We6 4 Фс4 Wc6+! wins as in line 1 after 3 Фс2?) and now: 2a) 3...W7+ 4 Фа4!«Ъ7 (the al- ternatives 4...We6 5 Ed4! Wb6 6 2>b3!, 4„>e8+ 5 ФЬ4! 6 Фс5 and 4...1ЙТ7 5 £)bl! are no better) 5 4ie4! Wa8+ (5..>c6+ 6 ФЬ4! Wb6+ 7 Фс4 is also a draw) 6 ФЬ4! and Black still cannot take the rook. 2b) 3...W7 4 2>bl! (4 Ed6? Wa7+! 5 ФЬ4 Wb8+! 6 Фс5 Wc7+! wins) Wf3+ 5 ФЬ2! draws. 2c) 3...We6 4 Ed4 (4 £ibl is also good) Wa6+ 5 ФЬ2 is safe. 2d) З...Ш6+ (3...1Ъ8 4 2>b3) 4 ФЬ4! Wb6+ 5 ФаЗ! Wc6 (5...W7 6 £te4! as in line 2a, or 5...УИа.1+ 6 ФЬ4! Wb7+ 7 Фс5!) 6 2>bl! Wc 1+ 7 Фа2! Wc2+ 8 Фа1! Wa4+ 9 ФЬ2! and Black is unable to make prog- ress. 9.2: Stalemate Just as in the case of W v E+±, we start by considering stalemates in which only the queen plays an active role. We give just one example of this, because the ideas are very simi- lar to those we have already exam- ined in the previous chapter. (392): White draws by 1 Eal+! (1 Bc5? We4+ 2 ФЬ2 We2+ 3 ФЫ Wfl+ 4 ФЬ2 Wf2+, 1 Ec8+? ФЬ7 2 392 Rinck, 1946 Basler Nachrichten Ec5 ^4+ and 1 £lg3? Wh6+! lose at once) ФЬ8 2 £lg3! ®xg3 (Black cannot win the rook) 3 Ea8+! (not 3 Ebl+? Фс8 4 Ecl+ Фd7 5 Bdl+ Феб running out of checks) Фс7 4 Ea7+! (4 Ec8+? ФЬ7) Фс8 5 Ea8+! Фd7 6 Ba7+! Феб 7 Ea6+! Фf5 8 Ea5+! ФГ4 9 Ea4+! Фg5 10 Ea5+! ФЬ4 11 Eh5+! Фg4 12 Eg5+! Фxg5 stalemate. In the following positions, the at- tacker’s king also participates in the stalemate. The next example demon- strates a characteristic pattern. (393): 1 Bc7+! Фf6 and now: 1) 2 Ec6+? ФГ5! 3 2>g6 (3 £ie6 Фе5! 4 Фё8 Wb3! 5 Фё7 Wg3+ 6 ФЬ7 ^ЬЗ-ь followed by ...Wg2+ wins) Wd7! 4 2>h4+ Фg5 5 2>f3+ ФЬ5 6 Ef6 We7! 7 Ef4 We8+! 8 Фё7 Wge-l- and 9...'й,Ь6+ wins the rook. 2) 2 ФЬ7? Ж16 wins immedi- ately. 3) 2 Eg7! #hl+ 3 Фg8! Wa8+ 4 ФЬ7! 1B,e4+ 5 £lg6! (and not 5 Фg8? Ж:4+!) Whl+ 6 Фg8! Wh6 (the only
queen v Rook and Knight 271 393 Zinchuk, 1985 (end of study) 3rd Comm., Thames-64 winning try) 7 Bf7+! &xg6 8 Bf6+! Фх(6 stalemate. The next position is much more complex, but as we shall see it even- tually reduces to the same pattern. 394 Dolgov, 1987 2nd Sp. Pr., Chavchavadze Mem. Tny. (394): White may play: 1) 1 £>g8? Wc4+ 2 ФЬЗ We2 and now: la) 3 Sg3 *f4 4 Sg7 Wh5+ 5 *g2 Wd5+ 6 ФЬ2 We5 7 Sg2 (7 Sg3 Wh5+ 8 *g2 We2+ 9 ФЬЗ Wei 10 Sg4+ *f3) ФТЗ+ 8 ФЫ Wal+ 9 ФЬ2 Wei 10 Sg6 We5+ 11 £gl Wc5+ and wins the rook. lb) 3 Sg2 Wh5+ 4 *g3 Фе5 5 ФГ2 (5 Sgl *d4 6 ФТ2 Wf5+ 7 Фе2 We4+ 8 ФТ2 Wf4+ 9 *g2 Wf7 10 Bdl+ ФеЗ wins) ФГ4 6 &gl Wc5+ 7 ФЬ1 ФТЗ 8 ФЬ2 Wh5+ 9 Фgl Wh4 10 Sg6 Wel+ 11 Ф112 We5+ 12 Фgl Wc5+ and 13...Wh5+. 1c) 3 Sgl Wh5+ 4 Фg2 Wg4+ 5 Ф12 Wf4+ 6 Фе2 Фе4 7 Sg6 We5 8 Фd2 (8 Hg2 Wb2+ 9 ФП Wcl+ 10 Фе2 We3+ 11 Фdl Ф<13 wins) Фd4 9 Sg4+ Фс5 10 Sg6 Wd4+ 11 Фс1 Wc3+ and 12...Wd3+. Id) 3 ДГ7+ Фg6 4 Sf4 Фg5 5 Sf6 We4 6 XLf8 Wg4+ 7 ФЬ2 ФЬ4 8 Se8 Wg3+ 9 ФЫ ФЬЗ 10 Se2 Wf3+ and wins. le) 3 2Л6+ Ф16! 4 Дс7 Фg5 5 2>f7+ ФГ4 6 Sc3 We6+ 7 Фg2 Wa2+ wins. 2) 1 2Л7? Wc4+ 2 ФЬЗ Wfl+ 3 Ф112 Wf2+ 4 ФЫ (4 ФЬЗ We3+ 5 Фg2 Wd2+ is the same) Wel+ 5 Фg2 Wd2+ 6 ФП Wcl+ followed by 7...Wb2+. 3) 121h5!Wc44^h3!^g3? Wd3+ 3 ФТ2 Wd2+ 4 ФgЗ Wel+ wins for Black) Wfl+ 3 Sg2! Whl+ 4 Sh2! Wf3+ 5 2ig3+! Фf4 6 Sg2! Wg4+ 7 ФЬ2! ФТЗ 8 Фgl (curiously enough, 8 ФЫ is also good enough for a draw because 8...Wh3+ 9 ПЬ2! Wxg3 10 Ш2+! delivers perpetual check along the second rank) Wh3 9 Sf2+! Фт^З 10 Hf3+! Фх13 stale- mate.
272 Secrets of Pawnless endings The following study by Dobrescu is one of the finest ever composed with this material. 395 =/+ Dobrescu, 1979 1st Pr., Revista Romana de Sah (395): Every move must be exact from beginning to end. 1 Ef3+! Alternatives fail, for example: 1) 1 2x17+? *f5 2 Be3 (2 Ef3+ Фе4! 3 ВсЗ Wf4+ 4 Фе1 *d4 5 Bc2 *d3! 6 Be2 Wh4+ 7 *dl Wa4+ 8 Фе1 Wal+ 9 ФТ2 Wd4+ wins) Wd2! 3 Bf3+ (3 Be5+ *f4! 4 Be7 Ж16 5 Bf7+ *g5 6 2>f8 Ж11+ 7 ФТ2 Ж14+ 8 *g3 Wgl+ 9 ФЬЗ Wg4+ followed by 1О...11И15+ wins for Black) Фе4! 4 Ef7 Wcl+ 5 ФТ2 We3+ 6 *g2 (6 ФП *d3 7 2>f8 Bj2+ 8 *gl Wg4+ 9 ФП Wh5 10 Bd7+ ФеЗ 11 Be7+ ФТЗ also wins) Wg5+ 7 Ф12 Wh4+ 8 Фg2 ФеЗ 9 Bg7 (9 2>f6 Wg5+ 10 ФЬ2 Фе2 with ...Wgb to follow) Фе2 10 2>b8 We4+ 11 ФЬЗ 1Ы+ wins. 2) 1 ВсЗ? Wf4+ 2 Фg2 (2 Фе2 We4+ 3 ЕеЗ Wc2+ 4 ФТЗ Wc6+ wins) Wd2+ 3 ФП (3 ФЫ Ш4 is similar) Ж14 4 Bc6+ (4 Bf3+ Фg5 and 4 Bh3 Фg5 are no better) Фg5 5 Веб (5 2k4 Ш+ 6 Фgl Wg3+ wins) W4+ 6 Фе1 W5 wins mate- rial. 1 ... Фе5 2 2>c4+! Not 2 2kl7+? Фе4! transposing into line 1 of the previous note. 2 ... Фд4 3 2>e3! After 3 2a3? Black wins by З...Фе4 4 ЕЬЗ (4 ВсЗ Ш2 5 Bh3 Фf5 6 2>b5 Фg4 7 ВсЗ Wf4+ 8 Фё2 ^64+ and the next check wins the knight) Ж12 (4...1йга2 is faster but more complicated) 5 2b 1 (5 Bh3 Фf5 is the previous bracket) Ж11+! 6 ФТ2 (6 ®g2 Фd4 7 Bb2 Фс5 8 Bb5+ Феб 9 Bb2 Ш5+ 10 ФЬЗ We4 11 Bb8 Wf3+ wins) Фd4! 7 Bb4+ (7 Bb6 Wc2+ 8 ФfЗ We4+ 9 ФgЗ Фс5 10 Bb5+ Феб 11 ЕЬЗ Wg6+ 12 ФЬ4 Wh7+ and 13..>g8+ wins) Фс5 8 Bb5+ Феб 9 Bb4 Фс7 10 Bc4+ Фd8 11 Bb4 Ш6 12 Bb5 Ж14+ 13 Фё2 Фс8 14 2ia3 Ж12+ and White loses the knight. 3 ... Фе4 4 Bf2! Whl+ and now the main line continues 5 Фе2! Wh5+ 6 Ф<12! Ш5+ 7 Фе2! ®a2+ 8 Фе1! (not 8 ФЯ? Фаб+! winning) Wa5+ 9 Фе2! ®аб+ (now Black tries a different tack) 10 Ф<12! ®d3+ 11 Фе1! Wc3+ (Black cannot take the knight because П...1йгхеЗ+ 12 Be2 costs the queen, while the al- ternative П...ФхеЗ 12EfЗ+ФxfЗ is stalemate) 12 Ф01! ОД14+ (the knight is still immune from capture) 13
Queen v Rook and Knight 273 Ed2! Ш1+ 14 Фе2! ®a6+15 ФП! ®f6+16 Фе2! Wf3+17 Фе1! (the situation is just a reflection of that at move 11) 18 ФП! W4+ 19 Ef2! and Black cannot make prog- ress. This is a remarkable composition, with White drawing by echoed stale- mates; moreover, he has to find 19 consecutive ‘only’ moves to hold the game. The same stalemate pattern can arise with the pieces shifted two files to the right. Dobrescu used this fact to create a ‘twin’ study with match- ing stalemates. 396 a) Diagram b) Move B& to h4 Dobrescu, 1973 Sp. Pr., Shakhmaty v SSSR (396): The two solutions run as follows: a) iat2!*xg3(l..>cl+2*g2! Wc6+ 3 *h2! Wh6+ 4 Фе2! Wh3+ 5 i>gl! i’xgS 6 Ef3+! *xf3 stale- mate) 2 Bg2+! ФЬЗ 3 Sh2+! Фg4 4 Eg2+! ФТЗ 5 Bg3+! ФxgЗ stale- mate. b) 1 Eh5+! (not 1 ^e2? #h3+!) *g4 (1...Фх83 2 Eh3+!) 2 Bh2! (2 Bh4+? ФТЗ) Wcl+ 3 Фg2! (3 ФТ2? Wf4+! 4 Фgl ФxgЗ! 5 Eg2+ ФЬЗ wins) Wc6+ (3„>d2+ 4 Фgl! We3+ 5 ФП! ФxgЗ 6 Eh3+) 4 ФТ2! Wf3+ 5 Фgl! ФxgЗ 6 Eh3+ ФхЪЗ stale- mate. 9.3: Zugzwang As usual, we must distinguish be- tween a normal zugzwang, in which White can usually win by losing a tempo and thereby passing the move to Black, and a reciprocal zugzwang, in which whoever moves first must weaken his position. The first example features a nor- mal zugzwang, and White’s main task is to lose a move. 397 +/= Nestorescu, 1973 1st Pr., Romanian Ch. (397): Black to play draws by l...£id5+ followed by almost any- thing, so we may suppose that White is to move. Although Black’s pieces
274 Secrets of Pawnless Endings appear very exposed, White cannot win material directly. 1 ®cl+! The only move to win. 1 Wdl? (the lines 1 Wb3? ДаЗ! and 1 Wf5+? Фс7! 2 Wb5 ДаЗ+! 3 Фе4 2кб are also drawn) Ea3+! 2 Фе4 3 Wcl Даб draws. 1 ... ФЬ7 Better than 1...ФЬ8 2 Wc5 ДаЗ+ 3 *d4 ДЬЗ 4 Wf8+ and 5 Wf7+ win- ning the rook. 2 Wc5! Фаб Once again 2...ДаЗ+ 3 Фе4! ДЬЗ 4 We7+ wins the rook in short order. 3 Фе2! There are other moves which maintain the win, but this is the only one to make progress. The idea is to transfer White’s king to the queen- side, when Black’s fortress will col- lapse. However, it isn’t possible to achieve this directly, for example af- ter 3 Фd2 Да2+ White must return, while 3 Фd4? £id5+ and 4...£lb6 throws the win away completely. Therefore, White aims to transfer the move to Black, which forces a con- cession. There is no point in a move such as 3 ФfЗ, because Black replies 3...4)a2 4 ФТ2 (hoping for 4...£lb4 5 ФеЗ) ДЬ4 (using the second-rank skewer to defend the knight indi- rectly) and White has made the win significantly more complicated. 3 ... Да2+ After 3...^a2 4 ФdЗ we transpose into the main line. 4 ФЙ ПаЗ+ Or 4...Да4 5 ФеЗ, when White reaches his objective one move more quickly. 5 Фе4 Да4 6 ФеЗ! £ia2 Black must give way and allow the king to the queenside. The alter- native is 6...ДаЗ+ 7 Фd4 Да4 8 ФеЗ 2>a2+ 9 ФЬЗ Да5 10 Wc6+ Фа7 11 Фс4, but this just transposes to the main line. 7 Фаз ^b4+ 7... Ea5 8 Wc6+ Фа7 9 Фс4 loses more quickly. 8 ФеЗ £)a2+ The main line continues 9 ФЬЗ Ea5 10 Wc6+ Фа7 11 Фс4 (П...На612«с7+Фа8 13ФЬ5 ДаЗ 14 Wc8+ Фа7 15 Wc5+ wins) 12 ФЬ4 Eal 13 W7+ Фа8 (13..Фаб 14 Ш6+ ФЬ7 15 We7+ is the same) 14 ®d8+ ФЬ7 15 We7+ Фс8 16 ®Г8+ and 17 Wg7+ winning the rook. The following study, although un- sound, gives rise to a fascinating po- sition in which White must pass the move to Black in order to win. 398 +/= Dobrescu, 1982 (end of study) 5th HM, Cheron Mem. Tny.
Queen v Rook and Knight 275 (398): This position arises (with Black to move) after 16 moves of Dobrescu’s study. It needs to be a win for White if the study is to be sound. However, in fact it is a draw: 1) 1...Ф01? (the only move con- sidered by the composer) and now: la) 2 Фаб? (Dobrescu’s move gives away the win!) £le3! (but not 2...*d2? 3 Фа2+ Фс1 4 Фа1+ *d2 5 ФЬ2+ *dl 6 Wf2 and wins) 3 Ж13+ (3 *d3 £k2! draws) Фс1! 4 ФаЗ+ *dl! 5 *d3 (5 ФсЗ Фе2) 5)c2! with an easy draw. lb) 2 Ф03+! Фс1 (2...£>d2 3 ФсЗ! Ee2 4 Фс2+! Фе1 5 ФdЗ! wins) 3 Фс4+ Фdl (З..Фч12 4 Фа2+ wins as after 2..^d2? in line la) 4 ФЬ5! (White has transferred the move to Black) Фс1 (4...£kl2 5 ФdЗ Efl 6 Фа4+! Фе1 7 Фе8+ wins, while 4...Фс2 5 Фа4+ is the same as the main line) 5 Фа4 Фd2 6 Фа2+! winning as before. 2) l.J£e3! 2 ФсЗ (2 ФdЗ £k2!) £kll+! followed by 3...Ee3 with a secure defence. The above analysis shows that White to play wins by 1 Фа4, trans- posing to line lb. A reciprocal zugzwang is even more fascinating than a normal zug- zwang, because it can only arise when both players lack a waiting move. In the following study, White manoeuv- res into the zugzwang with a surpris- ing king move. (399): The introductory moves l...Egl+ 2 Фе2! 2k5 (2...£>g3+ 3 ФdЗ wins after 3...Bal 4 Ф12+ Фа8 5 ФТ8+ Фа7 6 Фё7+ or З...ФЬ8 4 Wf2 Edl+ 5 Фс2) 3 Ф£2! Eg5 (or 399 +/- Akerblom, 1959 (end of study) Tidskriftfor Schack 3...Ecl 4 Фd2 Ec4 5 ФП+) 4 ФГ1! lead to a remarkable position of re- ciprocal zugzwang. Black to play loses after 4...Ee5 (or 4...ФЬ7 5 «Т7+ Фа8 6 Фе8+ and 7 Фе7+) 5 Фа2+ 2>аб 6 W7+! Фа8 7 W6 Еа5 8 Ж18+!. However, if it were White to play at move four then he couldn’t win, for example 4 Фе1 Ee5+! 5 Фdl Ed5+! 6 Фс2 ФЬб, 4 ФеЗ Ed5, 4 Фа2+ ФЬб or 4 ®f7+ &Ь7!. In the following position the re- ciprocal zugzwang is less of a sur- prise because Black’s king is already caught in a box. (400): White to play draws by 1 Фd7 Фс5 2 Bb7, an4 his rook can oscillate between b7 and b8. Sup- pose now that Black starts; after 1...Фс5 White can try: 1) 2 Eb8? ®d6+! 3 Фс8 Фсб+! 4 Фd8 Фа1! reaches a reciprocal zug- zwang with White to play. 2) 2 EbS? Феб! is a second re- ciprocal zugzwang; after 3 Eb8 Фа1 we are in line 1.
276 Secrets of Pawnless Endings 400 =/= Dobrescu, 1965 (end of study) 1st Pr., Revista Romana de Sah 3) 2Bb7!Wc6 3Eb5!(nowBlack is to play) Фа1 (there is nothing better for Black; З...Ж16+ 4 Фс8! Wc6+ 5 Ф<18! just repeats moves) 4 Eb8! (and again) Фа2 5 Sb5! and Black cannot make progress. In the following two studies Do- brescu correctly identified new posi- tions of reciprocal zugzwang, but in both cases the introductory play was flawed and the study unsound. (401): Clearly we need only con- sider White to move: 1 Wc3 Ed5! (not l...Hf2+? 2 ФаЗ Hf3 3 Wc8+ фё7 4 1^4+, „or 1...&С5? 2 Wh3! Eg5 3 Wh6+ Eg7 4 Ж16+) 2 W6+ Фе8! (2..J?g8? 3 ФЬЗ £kl+ 4 Фс2 £k!3 5 ФеЗ 6 Фс4 wins) 3 ^ебч- Фf8! 4 Фа1 (if the study had been sound, this would indeed have been a brilliant winning move; after 4 ФЫ Ed8 we arrive at the recipro- cal zugzwang with White to play, and he cannot improve his position, for example 5 Фс2 allows 5...^b4+! 6 ФЬЗ £ld5!, while after 5 Фа1 401 =/= Dobrescu, 1966 2nd Pr., Kivi Jub. Tny. Ea8+! 6ФЫ Ed8! Black repeats the position) and now: 1) 4..JZd8? 5 ФЫ! (now Black is in zugzwang) Eb8+ 6 Фс2! (6 Фа1? Ea8+! 7 ФЫ Ed8!) 2>b4+ (or 6...Ed8 7 ФеЗ £kl 8 ФЬ4 Eb8+ 9 Фа4 Ea8+ 10 ФЬ5 ^ЬЗ 11 Ж16+ Фё7 12 Wg3+ ФЬ7 13 Wh3+ and 14 Wg2+) 7 ФеЗ Eb6 8 Wd7! 2k6 (8...£>a2+ 9 Фс4 Eb4+ 10 Фс5 Eb3 11 Wd8+ Фg7 12 We7+ ФЬ8 13 W8+ and 14 Wf7+) 9 Фd2! (9 Wc7? £le7! draws) Eb2+ 10 Фс1 Eb6 11 Wc8+ and 12 Wc7+ wins. 2) 4„Ла5+!5ФЫЕЬ5+!бФс2 £le5! (Dobrescu only considered 6...Ed5?, when 7 ФеЗ! Ed8 8 Фс4 Ed7 9 ФЬ5 wins after 9...Eb7+ 10 Феб Ed7 11 Ш5+ or 9...Ed8 10 Феб 2>b4+ 11 Фс7! Ed5 12 Wb6 2kl3 13 W6+) 7 Wa6 (7 ФеЗ $517 draws) Ec5+! 8 ФЬЗ Фе7 with a comfort- able draw. (402): This study is unsound be- cause Black can win: 1 Eg3+ (1 Eh3 W4+ 2 ФЬ5 Фf7 wins after 3 Eg3
Queen v Rook and Knight 277 402 Dobrescu, 1979 5th HM, Revista Romana de Sah Wfl or 3 *f6) ФЬ8! (1 ...*f8? 2 Ef3+! Фе7 3 <52»g3 draws) 2 Hh3 (2 ig5 We5+ 3 ФЬб Wei wins) and now: 1) 2...Wc8? (the only move ana- lysed by Dobrescu) 3 Eh4! Wg8 4 ФЬ5! (4 £if2? Wg3! 5 Be4 Wg7+ 6 ФЬ5 Wf7+ 7 ФЬб Wf6+ wins) Wg2 5 ФЬб! (this is a position of recipro- cal zugzwang) Wgl (5..Ф^8 6 £>g3! Wxg3 7 Bg4+! Wxg4 is stalemate) 6 ФЬ5! (6 Bh3? Wg4 wins) ФЬ7 7 Bh3! (White makes use of the h3- square which became available after 5..Wgl) Wg6+ 8 ФЬ4! ФЬб 9 Eh2! Wg5+ 10 ФЬЗ! and White draws. 2) 2...Wf4+! 3 Фg6+ (or 3 ФЬ5 Фg7 4 Eg3+ ФГ8 5 Bh3 ФГ7 and Black wins) Фg8! 4 Bh5 (4 Eg3 Wfl wins) Wg4+! 5 Bg5 We6+! 6 ФЬ5+ (White’s second discovered check, but it doesn’t help) ФЬ7! 7 Eg3 (7 Egl Wh6+ and 8...Wg6+) Wf5+ 8 Ф114 We4+ wins. Decades of human analysis have only scratched the surface of this ending. For example, only a handful of reciprocal zugzwangs were un- covered by pre-computer analysts, but the machine has shown that there are 455 in all. Some of these are deep and mysterious, but here there is only space for a single example, which happens to be one of the longest re- ciprocal zugzwangs. 403 =/- zz (37 moves) (403): It is clear that Black’s knight is way out on a limb, and that Black’s pieces are restricted by the need to keep the e-file lifeline open. What is not obvious is that e3 is the only square for Black’s rook, and that h2 is the only square for White’s queen! In order for the following variations to make sense, it is worth emphasizing some general points. White’s plan is to keep Black’s knight fixed on e8 with the queen, while moving his king into the attack either via c8, b7 and b6 or, more directly, via d7 and c6. But White must be careful to keep Black bottled up; if he plays Фd7 at a moment when
278 Secrets of Pawnless Endings Black can reply with ...£lf6+ and ...£te4, then the position will be a draw. In addition, Black’s king must be restrained; if Black is allowed to transfer his king to d3, then he will have excellent drawing chances. First of all suppose that Black is to 1) 1.„Фс1 2 >2! Be4 (2...Ee6 3 >5+) 3 >3 Eel 4 >3+ *dl 5 >13+ Фс1 6 Фс8 (this is a typical ploy; the king must move without al- lowing Black a saving check on f6) Be4 7 ФЬ7 ФЬ2 (7...Bb4+ 8 Феб Eb8 9 >1+ ФЬ2 10 >2+ ФЫ 11 Wgl-b followed by Wh2+ or >7+ wins the rook, while 7...Ee7+ 8 ФЬб wins after 8...Ee6+ 9 Фа5 ФЬ2 10 Фа4 Фс7 11 Wb3+ Фс1 12 >3+ or 8...&C7 9 Феб ФЬ2 10 Wd2+ ФЬЗ 11 Wg5 Bf7 12 Wg8) 8 ФЬб 2>f6 (8...Eb4+ 9 Фа5 Bb8 10 >17 fol- lowed by Фаб-а7 wins the knight, or 8...Be6+ 9 Фа5 2kl6 10 >15 Bg6 11 >12+ Фа1 12 >1+ and 13 >2+ picks up the rook) 9 >)5+ Фа2 10 Фа5 (threatening >5) Bf4 11 >2+ ФЫ 12Wdl+and 13 >12+wins the rook. 2) 1..Ле6 (l...Ee4 is answered the same way) 2 >11+ Eel (2...Фс2 3 Wg2+ Фс1 4 Wg5+ ФЬ2 5 Wg4 wins material) 3 >15+ Фс2 4 >4+ Фd2 (4..^dl 5 >13+ transposes to line 1) 5 >j4+ Фdl 6 >3 Ee2 (6...£к16 7 W'd4+ Фе2 8 >5+ wins the knight next move) 7 Фd7 Bel (7...Ее4 8>13+Фс1 9 Фс8 wins af- ter 9...Bel 10 ФЬ8 or 9...ФЬ2 10 Фd8 5)f6 11 >15+ and the next check picks up the knight) 8 W'd3+ Фс1 9 Фс8 winning as in line 1. 3) 1...Фе1 (this creates no partic- ular threat, because if Black were to play then the only drawing move would be ..Фч11, returning to the reciprocal zugzwang; nevertheless, White must find a constructive reply) 2 Фс8! (White’s queen cannot move without either allowing Black’s king off the first rank or permitting ...£kl6, which would bring the knight back to safety, so this is the way to make progress) and now: За) 2..Ле2 (2...Bc3+ 3 ФЬ7 ВеЗ 4 ФЬб Ee2 transposes) 3 >4 Ed2 4 >3+ Ee2 5 >1+ ФТ2 6 >4+ Фе1 (6..^gl 7 Фd7 Фg2 8 Феб Фgl 9 ФЬ5 Фg2 10 Фс4 Bel 11 ФсЗ Ee2 12 ФdЗ Eel 13 Фd2 wins) 7 ФЬ7 Bd2 8 Wg3+ ФА 9 >3+ Фе1 10 ФЬб Be2 11 Wg3+Фd2 12 Фс5 Be4 13 >3 Ee3 14 >4 ФdЗ 15 Фd5 (zugzwang) Фе2 16 Фс4 (16 Фd4? Ed3+! draws) Ef3 17 >4+ Ee3 18 Wg2+ Фе1 19 Фd4 Be2 20 Wg3+ Фdl 21 >3 Фd2 22 >3+ Фdl 23 ФdЗ and wins. 3b) 2...Фд1 (2...Be4 3 ФЬ7 Ee2 4 Wgl+ transposes) 3 ФЬ7 He2 4 Wgl+Фd2 5 Wd4+ Фе1 6 ФЬб Bd2 7 >3+ Be2 8 >1+ ФТ2 9 >4+ Фе1 10 Фа5 (White’s route is differ- ent from line 3a, but the basic idea is the same) Ed2 11 ФЬ4 Ef2 12 >3+ Ee2 13 Wgl+ Фd2 14 >14+ Фе1 15 ФсЗ ФП 16 ФdЗ Bel 17 >4+ Фgl 18 Фd2 Bfl 19 Wg5+ and wins the knight. 3c) 2...ФП 3 ФЬ7 Ee2 4 >4+ Фе1 5 ФЬб Bd2 6 >3+ transposes into line 3b. 4) 1..Ле2 2 >tl+! (2 Wgl+? Фс2! 3 >5+ Фdl! draws because
Queen v rook and knight 279 White has no more checks) Фс2 (or 2..Фч12 3 Wd5+! transposing) 3 Wc6+ Фд2 (З...Ф<11 4 Ф<17 is similar but faster; note that the queen has to be on c6 in order to prevent ...£rf6) 4 Wd5+! Фс1 5 Wc4+ Фд1 (5...Ф<12 6 Ж14+ transposes) 6 Wa4+ Фе1 (again, 6...Фд2 is met by 7 Wd4+) 7 Wh4+ Фd2 (7..^dl 8 Фd7 acceler- ates the winning process) 8 Ж14+ (8 Фd7? ДеЗ improves the position of Black’s pieces and draws) Фс2 (8...Фе1 9 Фс8 is similar to line 3) 9 Фс8 (now that d6 and f6 are under control, the king can move) Фс1 10 Wgl-F Ф<12 11 ®b8 (White’s route is necessarily circuitous because 11 ФЬ7? 5)d6+ draws; Black’s knight cannot move when White’s king is on b8, because it would be lost to an immediate fork) and now: 4a) И..ЛеЗ 12 Wg2+ Де2 13 Wg5+ ФdЗ (Black’s king becomes active, but White has already im- proved his own king position suffi- ciently to win) 14 ^bS-b Фс12 15 Wc4 ФеЗ 16 Фа7 ФfЗ 17 Wd3+ ДеЗ 18 Wf5+! Фе2 19 ФЬб Фd2 20 Ш Фе2 21 ФЬ5 Д<13 22 We4+ ДеЗ 23 Wg2+ ФdЗ 24 Ш5+! Фе2 25 Фс4 ФТ2 26 Wc6 (26 Фd4? 2>f6! draws) Де4+ 27 Ф<13 ДеЗ+ 28 Фd4 Де1 29 Wc2+ Ф^З 30 W5+ Фе2 31 ФеЗ Дс1+ 32 ФЬ2 Де1 33 Фс2 ФеЗ 34 W8 Де2+ 35 ФеЗ and wins the knight. 4b) 11..Ле4 12 Wg3! (after 12 Фа7? ФdЗ Black’s pieces are active enough to draw) Фе2 (12...ДеЗ 13 Wg2+! transposes to line 4a) 13 Wb3 (this puts Black into non-reciprocal zugzwang; if White were to play, then he could pass the move to Black by 1 Wc3 ФТ2 2 Wh3 Фе2 3 Wb3) ДеЗ 14 Wc2+ ФТЗ 15 W5+! Фе2 16 Фа7 Ф<12 17 Wd5+ Фе1 18 Wc4 ФТ2 19 Wg4 Фе1 20 ФЬб ФТ2 21 Wf4+ Фе2 22 ФЬ5 transposes to line 4а. This reciprocal zugzwang is one of the most baffling in the whole book, but we can understand it in general terms as follows. The main point is that White’s king is very badly placed on d8. Imagine chang- ing diagram 403 by moving the white queen to various squares. Where must the queen start, in order for White to win if he moves first? If we ignore the trivial case in which White takes the rook on the first move, then the following diagram provides the answer: 404 With one and a half exceptions, White can only win if he can play 1 Wh2! on his first move. The one ex- ception is with W#c6; in this case White’s queen is already ideally placed covering c3, d6 and f6, so
280 Secrets of Pawnless Endings that White can win by 1 Фс8!, and Black cannot play any of the draw- ing replies 1...4hd6, l...£lf6 and l...Ec2+ followed by 2...£te7 (for example, with W#g6, 1 Фс8 Ec3+! 2 Фd7 £k7! draws). The half-ex- ception is with W#b2; in this case the queen is again well-placed, cov- ering c3 and f6, so that 1 i’d7 (which prevents ...£kl6) wins much faster than 1 Wh2. But now suppose that White’s king starts on c8; then White’s queen can be almost anywhere, and White to play wins. In other words, White’s problem in diagram 403 is that of freeing his king. With White to play in diagram 403 there is no solution to this problem: 1 Фс8 Ec3+! 2 ФЬ7 £te7! improves the position of the knight, 1 Wb2 £k!6! 2 Wd4+ Фе2! uses the d-file pin to bring the knight to safety, and finally after 1 W4 Фе2 2 Фd7 Ф<13! 3 Феб Se4! 4 W3+ Ф(14! 5 Wb3 Фе5 Black’s king comes to the rescue. Now we can see why Black loses when he is to play. 1...Фс1 and l...Ee6 allow White to drive the rook to a passive position by forcing moves, when White gains a tempo for a vital king move; 1 ...Be2 allows White to reach a posi- tion with W1iird4 v ВФс2, when Фс8 is possible without allowing ...Ec2+ (and the queen on d4 prevents a knight moVe) and finally 1...Фе1 2 Фс8! ВсЗ+ 3 ФЬ7 Фс7 4 Wb2 Bc4 5 Wb3 Bel 6 Ж13 exploits the absence of the king from dl. Finally, we present the longest win in the ending of W v В+Ф (46 moves). 405 (405): Black is to play. The gen- eral structure of the position is simi- lar to the previous diagram, in that Black’s rook is supporting the knight from long range. Once again White’s main task is to activate his king: 1.. Ad2 (1.. ^d3 may also be met by 2 Ж18+, although 2 Wg6+ is slightly faster) 2 Ж18+! Фс2 (in the intro- ductory play Black has various squares for his king, but in every case White’s queen eventually arrives on c4, for example 2...Фс1 3 Wg5+! Фdl 4 Wg4+ Ф<12 5 Ш+ Фс2 6 Wc4+) 3 Wc7+! Фdl (after З...ФЫ, White starts his king march straight away by 4 Фd8) 4 Ж16+! (now 4 Фd8? Bd2+! 5 Фе8 5)d7! improves the position of the knight, and draws) Фс2 (4...Фс1 5 W4+ transposes) 5 Wc5+ Фdl (5...Ф<12 6 Фd8 and Black has no check on d2) 6 Ж14+ Фс1 7 Ш+ Фс2 (7..ФШ 8 W3+ Фс2 9 Фd8) 8 Wc4+ Фdl 9 Wa4+ Фd2 (Black is forced to block the check on d2 because 9...Фс1 10 Фс7 im- proves White’s king position even faster) 10 Фd8 (not 10 Фс7? ФеЗ!
Queen v Rook and Knight 281 11 ШЗ+ ЕЬЗ! 12 Wc5+ *d2! 13 WciS-t- Фс2! and Black has improved the position of his king and rook) ФсЗ (Black tries the same idea) 11 Wa3+! ЕЬЗ 12 Wc5+! *d2 13 Wg5+ Фе2 (once again, the exact king moves make little difference; eventu- ally the white queen reaches d5) 14 Wg2+ *d3 15 Ш5+ ФсЗ (it is at this point that the difference between 10 Ф^8 and 10 Фс7? becomes clear; if White’s king were on c7, then Black would play 15...Фс2! here when, thanks to the d-file pin, White has no reasonable king move; now, however, 15...Фс2 is met by 16 Фе7 and the king escapes to continue his journey) 16 Фе7 Bb4 (Black tries to edge nearer the trapped knight, but hopes of rescuing the steed come to nothing) 17 ФТ7 (a very tricky move; the threat was 17...Bd4 18 Wc5+ ФЬЗ, and surprisingly enough Black draws; the king move eliminates the fork on c6 and keeps Black tied up - not, however, 17 Феб? Eb6+! 18 Фf5 ФЬ4! and Black really does get the knight out) ФЬ2 18 Ж13 ЕЬЗ (otherwise White just continues with Феб) 19 Ш2+ ФаЗ 20 Wa5+! ФЬ2 21 Wc5 (21 Феб is also not bad, but this is one move quicker) ФЫ 22 Феб Фа2 (Black can only wait; he does not threaten 23...£>a6 because of 24 W2+ ФаЗ 25 Wa7) 23 Wa5+ (not 23 Фf5? £>a6! 24 Wf2+ Bb2! 25 'Hal Bb5+! and 26...Ea5, nor 23 Фс15? £kl7!, drawing in both cases) ФЬ2 24 Фf5 (24 Фс15? ^d7!) ЕсЗ 25 Wb4+ Bb3 26 Wc5 (this is safe when Black’s king is on b2, because 26...&a6 may be met by 27 We5+ and the knight is lost) Фа2 (now Black threatens ...£la6) 27 Ж15 ФЬ2 28 Фе4 (the king draws ever closer) ЕсЗ 29 Wb5+ ЕЬЗ 30 Wc5 (Black is in zugzwang) ФЫ (ЗО...Фа2 31 Ж16 ФЬ2 32 Фd4 is similar) 31 Wc8 (31 Фd4? £>аб! is still a mistake, so first of all White must position his queen to cover all the knight’s possible moves) ФЬ2 32 Фd4 ФаЗ 33 Ж:5+ Фа2 34«а5+ФЫ 35«е1 + Фа2 36 Wd2+ ФаЗ (Зб...ЕЬ2 37 Wa5+! ФЫ З8^е1+Фа2 39 ^еб-ь ФЫ 40 ФсЗ Фа1 41 Wel+ БЫ 42 We2 Eb6 43 Ш1+ Фа2 44 Ш5+ ФЫ 45 W5+ and the rook falls) 37 Wa5+ ФЬ2 38 Фс4 Eb7 (38...2>сб 39 Wd2+! ФаЗ 40 Wd6+! 2>b4 41 Wc5 ФЬ2 42 We5+ Фа2 43 Wa5+! ФЬ2 44 Wa4! wins) 39 We5+ Фа2 40 Wd5 Bb2 41 ФсЗ+ ФЫ 42 Whl+ Фа2 43 Wdl (readers may recall that this position arose in chapter 3, except that Black’s knight was missing; here it is also an effective zugzwang) Bb6 44 WdS-t- ФЫ 45 W5+ Фа1 46 Wa5+ and captures the rook next move. 9.4: The queen loses The comments from section 8.7 ap- ply here too; the rook and knight can only win under the most exceptional circumstances, although this can sometimes happen after a pawn pro- motion by Black: There are no deep or subtle positions in this section; if the rook and knight are able to win, it can only be through a short-range tactic. The following three positions give some idea of the possibilities.
282 Secrets of Pawnless Endings 406 Amelung, 1901 Deutsche Schachzeitung (406): White wins by 1 £te5! ФЫ (the queen cannot cover both b2 and dl) 2 Bb2+! Фс1 3 2kl3+! *dl 4 £lf2-f! and Black loses his queen in any case. 407 +/+ Rinck, 1936 Basler Nachrichten (407): If White moves first, then he wins by 1 Sb4! (cutting out the checks on c4 and f4) Wa2 2 Eb8+! Фа7 3 Bb7+! Фаб 4 (or 4 £lb8+) Фа5 5 Ha7+! picking up the queen. If Black is to play, then he can win by l...W4+ 2 Фd81Brg5+ 3 Фе8 (3 Фс7 Wcl+) Wh5+ 4 Фе7 Wh7+ 5 Фd6 (5 Феб Wh3+) Wd3+ 6 Феб Wh3+ and the next check wins the rook. 408 +/= Rinck, 1945 Basler Nachrichten (408): White to move wins by 1 threatening mate in two by 2 5)f3+. Black is strangely helpless, for example 1...ФЫ 2 Bh2+! Фgl 3 £rf3+ leads to mate next move, while 1...ФП 2 Ef2+! Фе1 3 2k2+ grabs the queen. Perhaps the most satisfying exam- ples are those in which Black’s un- fortunate situation arises naturally from a pawn promotion. (409): White wins by 1 Ec2+! ФЬЗ (1...ФЫ loses without a fight after 2 £le2 alW 3 5)c3+! Wxc3+ 4 ФхсЗ! a2 5 Eb2+! Фа1 6 Eh2 fol- lowed by mate) 2 Scl 1 alW (an ex- cellent defence; 2...ФЬ2 3 Фd2 alW 4 2kl3+ Фа2 5 £>Ь4+ ФЬ2 6 Exal
Queen v rook and Knight 283 409 +/ Troitsky, 1910 Shakhmatnoe Obozrenie Фха1 7 Фс1 a2 8 &c2 mate is sim- pler) 3 Hxal! ФЬ2 (3...a2 4 Hfl transposes) 4 Efl! (White’s knight is too far away for 4 Ha2+? Фха2 5 Фс2 Фа1 or 4 4) moves? Фха1 5 Фс2 а2; the choice of fl as opposed to el, gl or hl is dictated by the re- sulting Н+Ф v W position) a2 5 Фс4! (now this is the right direction; 5 Ф<12? alt 6 2kl3+ Фа2! 7 £>b4+ ФЬ2! is only a draw) alW 6 4*)d3+! Фа2 7 &Ь4+! ФЬ2 8 Ef2+! ФЫ (8...ФаЗ 9 £te2+! and 8...Фс1 9 5)a2+! ФЫ 10 ФЬЗ! are also hope- less, but if White had played 4 He 1 ?, his rook would now be on e2 and Black could draw by 8...Фс1! 9 4)a2+ Фdl!) 9 ФЬЗ! and Black can- not cover fl with his queen. But if White had played 4 Hg 1 ? or 4 Eh 1 ?, then his rook would now be on g2 or h2, and Black would defend by 9...1йга7! or 9.-^8! respectively. We end with the longest possible win in the ending of Н+Ф v f (9 moves). After three moves this win transposes into Troitsky’s win from the previous diagram. 410 +/= (410): White to play wins by 1 2k5+! ФЬб (1...Фа7 2 НаЗ+! ФЬ8 3 2к17+! and 1...ФЬ8 2 2к17+! Фа7 3 Ea2+! also transpose into Troitsky’s win) 2 Eb3+! Фа7 3 Ea3+! (not 3 ФЬб? Wa7+! and Black forces stale- mate) ФЬ8 (now we are in Troitsky’s study) 4 ‘5M7+! ФЬ7 5 Hb3+! Фаб 6 4)b8+! Фа7 7 Фс7! and White either captures the queen immediately, or mates in two more moves.
10 Queen v Bishop and Knight This chapter, and the two following, deal with endings in which a queen faces two minor pieces. We start with the bishop and knight because it is by far the simplest of the three; it is also the only one which pre-computer analysts eval- uated correctly! The ending of W v JL+Ф is generally won for the queen, but there is one important drawing fortress position. Karstedt, 1903 (411): The positions of White’s king and queen are irrelevant. The combination of a bishop on g7 and a knight on e5 covers the squares f8, f7, f6, g6 and h6, creating an impass- able barrier for White’s king. Nor can Black be forced into zugzwang, for example 1 Фе7 JLf8+ (waiting by l...JLh8 is also good) 2 S$?f6 (or 2 <S?d8 JLg7! 3 Фе8, when Black may reply 3...JLf6 or 3...JLh8) Jlg7+! 3 Феб i.h8 4 We8+ ФЬ7! 5 Фf5 i.g7! and White cannot make progress. The result of a W v JL+Ф position normally depends only on whether or not Black can set up Karstedt’s draw. Here are a couple of examples. 412 =/+ Nadareishvili, 1964 lidskriftfor Schack (412): White cannot prevent the black pawn promoting, but knowing Karstedt’s position enables him to draw by 1 i.h4! dll' 2£te5+! Фе4 3 JLf6! Wh5+ 4 Фg8! (but not 4 Фg7? Фf5 5 2kl7 Wg6+ 6 ФТ8 Феб and wins) We8+ (4..^5 5 i.g7) 5 ФЬ7! (5 Фg7? Фf5 6 £if7 Ж17 followed by 7...Феб wins) and Black cannot prevent JLg7 by White, leading to Karstedt’s draw.
queen v Bishop and Knight 285 413 =/+ Pogosiants, 1969 ‘64’ (413): Once again, it is a help to know that the ideal formation con- sists of having the knight on d5 and the bishop on b7: 1 £k!5! elW 2 Ac6! (now White only needs to give the check on b7 and he has reached Karstedt’s draw; 2 JLd7? intends 3 Лс8+ and 4 ЛЬ7, but 2..>a5 3 Лс8+ ФЬ5+ 4 ФЬ7 Шб+ 5 ФЬ8 Ж16+! wins) Wbl (at first sight this appears decisive) 3 ЛЬ5+! (a neat tactical point saves the day) Фа5 4 Лсб! and the only way to prevent 5 ЛЬ7 is by 4...Фаб, with a draw by repetition. There is one alternative drawing idea, but it is very unlikely to occur in practice. It can arise when White’s king is trapped in the comer; under certain circumstances the king can- not be released, and then White is unable make progress. (414): This position is distin- guished by the fact that it is the one and only reciprocal zugzwang in the ending of W v Л+Ф. If Black could 414 =/- zz (33 moves) get his king to f4, for example, then we would have the fortress draw mentioned above. White’s king can never move, and by itself the queen cannot drive Black’s king away from the defence of the knight. One exam- ple of this is 1 Wc3 Фf4! 2 Wg7 ЛП! 3 Wg6 ЛЬЗ and it is obvious that White cannot make progress. In a similar way, playing ...ФеЗ is enough to guarantee a draw. Therefore, if White is to move then he must keep his queen on the cl-h6 diagonal to prevent ...Фf4 and ...ФеЗ, but after 1 Wh6 JLf 1! White has only reflected the position, and the reciprocal zug- zwang is maintained. On the other hand if Black moves first, then he cannot maintain the box around White’s king. This raises the question as to how hard it is to win when Black cannot set up an imme- diate draw? The answer is that it is surprisingly easy. The bishop and knight cannot create a permanent barrier against White’s king while they are being harried by the queen,
286 Secrets of Pawnless Endings and the winning process involves little more than gradually pushing Black’s king to the edge of the board. The variations are too numerous to give in detail, but it is worth look- ing at a typical line: 1...Ф<15 (after l...'4’d3 2 Wh6!, Black cannot play 2...±fl because of 3 Wa6+, so again the blockade is broken) 2 'ИеЗ JLf5 3 i,g2 4 i>g3 JLe4 5 i>g4 (5 Ф?4 is a little slower, because White has to retreat after 5...£ie6+) 5)e6 (best, as White threatened i’gS-fb) 6 ^сЗ (now Black is in zugzwang) Фч16 (or 6...JLg6 7 *f3 i.h5+ 8 ФеЗ i.g6 9 W6 i.e8 10 Wf5+ Фd6 11 ШЗ+ Фе5 12 We4+ Фd6 13 Wb4+ Фс15 14 Wb3+ Фd6 15 Wb8+ 2>c7 16 Фd4 and White’s king advances) 7 Wa5 (again, zugzwang is the way to force a concession from Black) JLg6 8 ФГЗ Фе7 (Black is trying to set up a blockade with 4ie6, Ф^б and JLg6) 9 WeS Фf7 10 ФеЗ (the bishop and knight create an impenetrable barrier on the kingside, so White has to play his king towards d5, via d2, c3 and c4) Фе7 11 Wh8 (a key move; the danger is that Black will meet 11 Фd2 by ll...JLe8 12 ФсЗ JLc6, set- ting up a new barrier on the other side of the board) ФТ7 12 Фd2 JLe4 (now 12...Фе7 is answered by 13 Wh4+ ФТ7 14 ФсЗ, and Black’s bishop cannot be transferred to c6) 13 Wh4 JLf5 (Black has to decide which way he is going with his bishop; after 13...JLc6 14 ФеЗ Black has little choice but to play 14...Фе8, but then 15 Wh7 Фd8 16 Wf7 JLd7 17 ^16+ Фс7 18 Фе4 penetrates to e5) 14 ФсЗ Фg6 15 Фс4 £lg5 (a good move, because if White plays the immediate 16 Фс15, then the re- ply 16...JLe4+ 17 Фd6 Фf5 enables Black to hold his defences for a while) 16 Wg3 ФГ6 17 Wf4 2>e6 18 1Brf2 (Black’s barricade is down, and he cannot keep White out of d5 for long) Фе5 19 Wb2+ Фе4 (19..ФМ6 20 Wb8+) 20 We2+ ФГ4 21 Фс15 £>g5 22 Ж12+ (the end is not far off once Black starts to retreat) Фg4 23 Wb4+ ФЬ5 24 Фе5 JLh7 25 Ш Фg6 26 W6+ ФЬ5 27 Wc6 Фg4 (or 27...ФЬ4 28 Wc8, and White wins after 28...JLg6 29Wcl JLh5 30Wel+ Фg4 31 Wgl+ ФЬ4 32 Ф£5 or 28... ЛЬ 129 Wc4+ JLe4 30 Ф16 2)h7+ 31 Фg7 2>g5 32 ФЬб) 28 Wd7+ ФgЗ (28...Ф114 29 Wc8 wins as before) 29 ФГ6 ФЬ4 30 Фg7 ФЬ5 31 Wdl+ ФЬ4 32 ФЬб and Black loses mate- rial. The above reciprocal zugzwang is the basis for the following attractive study: 415 =/+ Gurgenidze, 1980 5th Pr., Shakhmaty v SSSR
Queen v Bishop and Knight 287 (415): White to play draws by 1 £te3+! (after 1 £ted4? White threat- ens mate in two, but l...Ee8+ 2 Фс15 ЕеЗ stops all the fun and promotes in safety) Фа1 (1...Фс2 2 2>d5 Ee8 3 £te3+ and 4 Ф(3 draws) 2 £k!4! Ee8+ 3 Фс15! (the only move to avoid promotion with check) Ed8+ 4 Фе4! (4 Фе5 Exd4 5 Ф^4 loses as below) Hxd4+ 5 ФеЗ! (a truly fan- tastic move; after 5 Фxd4 f 1W, the reciprocal zugzwang arrives with White to play, so he loses) flW (there is nothing better since 5...Ef4 loses the pawn after 6 JLb2+ ФхЬ2 7 £kll+) 6 Фxd4 and now Black is to move, so the position is a draw. In the next diagram White is able to draw by trapping his opponent’s king in the comer. 416 =/+ Rinck, 1948 Sociedad Espanola de Problemistas de Ajedrez (416): White can draw by 1 2>b4+! Фа7 (after 1...Фа5 2 £кб+! Black should give up his queen at once) 2 £te6+! Фа8 3 JLe2! (not 3 Jlg4? Wg7, when 4 Лс8 fails to 4„>f8+!, nor 3 JLf3? Wc7 4 ФЬ5 Wg3, and Black’s king escapes from the comer) Wc8 (the only move which does not allow an immediate JLa6) 4 ФЬб! and JLa6 is again a threat, so Black must play 4...1ЙЪ7+, repeating moves. Having dealt with the various drawing resources available, we now turn to the winning process in the general situation of a win for the queen. One of the most useful posi- tions was already analysed in dia- gram 414 above, where we showed how to break down the barrier ВФЛ>, JLg6. Here are a couple of ex- amples along similar lines: (417): Moving Karstedt’s draw one square to the left destroys the blockade. The reason is not that White’s king can infiltrate along the h-file; rather, it is because there are extra checking squares available for White’s queen. Suppose that Black is to play: 1...ФГ8 (1...ФЬ7 2 Wf5+
288 Secrets of Pawnless Endings *g7 3 Wg5+ ФЬ7 4 *d7 JLg8 5 Фе8 2>c7+ 6 Фе7 21e6 7 Wh4+ *g7 8 18115 puts Black in zugzwang) 2 *d8 *g8 (2...±g8 3 Wg5 Леб 4 Wg6 JLg8 5 *d7 JLf7 6 Wh6+ trans- poses) 3 Wg5+ ФЬ7 (З...ФТ8 4 Wh6+ i’gS transposes) 4 ФИ ФЬ8 (for 4...JLg8 see.the note to Black’s first move) 5 1UFh6-t- i’gS 6 i’dS and Black is in zugzwang. The availabil- ity of the h-file makes all the differ- ence, because Black is paralysed once the queen arrives on h6. 418 +/- Original (418): Once again the bishop and knight cooperate to keep White’s king at arm’s length, but again the blockade can be broken. Suppose that Black is to move: 1...ФЬ6 (after l...^a5 2 «Т4+ ФЬб 3 Wd4+ ФЬ5 4 Фd6 White makes progress much more quickly) 2 Wb4+ and now: 1) 2...Фаб 3 Феб Фа7 4 Фе5 (Black cannot play ...ФЬ8 because of Wb6, so he can only wait) Фаб 5 Фd4 Фа7 6 Wb3 Фаб 7 Wb2 (zug- zwang) Фа7 (or 7...ЛЬ5 8 Фс15 ФЬб 9 Wb4 Фаб 10 Ш4 i.d7 11 Фс4 2>а5+ 12 ФеЗ ЛЬ5 13 Шб+ £сб 14 Wc7 and Black collapses) 8 Фс4 ФЬ8 (8...Фаб 9 Ж14 is an immediate win) 9 Wb6 JLd7 10 Фс15 Фс8 11 Фе5 (heading for e7) JLh3 12 Ф16 JLd7 13 Фе7 ЛЬЗ 14 We3 JLf5 15 Wc3+ and White wins the bishop. 2) 2,..Фс7 3 Wb3 (zugzwang) Ле4 4 Wg3+ Феб 5 Фf6 (threaten- ing Фе5) ФЬ5 (Black cannot restore his blockade) 6 1ЙЪЗ+ Фс5 7 ^еЗ-ь Фс15 8 Wb6 2>с5 9 Wd8+ (having driven Black out of his defensive for- mation in the comer, White must now force Black’s king to the edge of the board) Фс4 10 Фе5 ЛЬ7 11 Ж14+ ФЬ5 12 Фd6 2>аб 13 Wa7 JLf3 14 Wf7 Лсб 15 Wfl+ ФЬб 16 Wgl+ ФЬ5 17 Wbl+ 2Ы 18 Wfl+ Фа5 19 Фс5 and Black loses. The winning process consists mainly of natural moves, although the analysis of diagram 414 shows that care is needed at certain stages. The pleasant aspect of playing the winning side is that it is virtually impossible to throw the win away entirely; if Black cannot reach Kar- stedt’s draw straight away, then only extreme carelessness will allow him to set it up at a later stage. As usual, we finish with the lon- gest win in the ending of W v Л+4) (42 moves). (419): White’s first task is to es- cape from the barrage of checks: 1 ФЬ8! £k:6+ 2 ФЬ7! (it looks danger- ous, but there is no perpetual) £lb4+ 3 Фа7! 2кб+ 4 Фаб! Лс4+ 5 ФЬ7! 2к18+ 6 Фа7 (or 6 ФЬ8) 5кб+ 7 Фа8! (the checks are at an end) JLd3
Queen v Bishop and Knight 289 419 (or 7...Jld5 8 Wc5 Ste7+ 9 Фа7 i.f7 10 Фаб and White’s king escapes) 8 Wb7+ *d6 9 Wb3 JLe4 10 Wg3+ Фс5 11 ФЬ7 (White’s king is now free and he can begin the process of forcing Black back) £te7+ 12 Фс7 2>d5+ 13 Фd8 (13 Фd7 Af5+ loses time) Феб 14 We5 JLd3 15 Фе8 (it is still not easy for White to bring his king into an active position) Ac4 (15...Ag6+ 16 Ф18 Ad3 17 ФТ7 Ac4 18 Wd4 is similar to the main line) 16 Ф18 (the long way round) JLfl 17 Wai JLc4 18 Wa3 (zug- zwang) 5)b6 (Black must give way and allow White’s king to approach) 19 Фе7 JLd5 (19...&d5+ 20 Феб fol- lowed by Фе5 and the king is fully centralized) 20 Wd6+ ФЬ5 21 Фf6 (21 Фd8 JLc4 22 Фс7 is heading in the wrong direction; after 22...5M5+ 23 ФЬ7 Ab3 it is hard for White to make progress) Ab7 22 Феб Jlc8+ 23 Фе7 Ab7 24 Wd3+ Фс5 25 Wc2+ ФЬ5 26 Феб (26 Фd6 ?k4+ 27 Фс7 Ad5 is much slower) JLd5+ 27 Фе5 JLb7 (27...£te4+ 28 Фd4 is worse) 28 Wc7 Jla8 29 Фd4 (Black’s king is near the edge of the board, and the final stage approaches) Ac6 30 WbS Ad5 31 Wf8 Aa8 32 We8+ ФЬ4 33 We2 Фа5 34 Фс5 £1а4+ 35 Фd6 2>b6 36 We8 Фаб 37 Фс7 &d5+ 38 ФЬ8 (and certainly not 38 Фd6? Фа7! with Karstedt’s draw) 5)b6 39 We2+ Фа5 40 Фа7 ±c6 41 Wa6+ and White captures the knight next move.
11 Queen v Two Bishops In this chapter we are at the bounds of current knowledge about the endgame. The reason is that pre-computer analysts incorrectly assumed that this ending is usually drawn, whereas in fact it is normally won for the queen. This means that virtually all the work on this ending for the last 200 years can be thrown away, because it was based on a false assumption. Rinck, for example, com- posed several studies in which White had the two bishops and White was to play and draw. By means of an accurate series of bishop moves, White could prevent Black winning a bishop. Rinck always stopped his analysis as soon as White’s bishops were safely defended, secure in the belief that this ending is generally drawn. Unfortunately, all these studies are unsound because Black can win, albeit rather slowly. There are many other studies, by various com- posers including Rinck, in which the queen can only win a bishop by means of a precise sequence of moves. All these studies are cooked, since the queen can win even without an immediate tactical point. In fact, the situation is remarkably similar to that of W v JL+Ф. There is precisely one fortress position which is genuinely drawn, and there is pre- cisely one reciprocal zugzwang. As explained in the introduction, we make no special mention of the 50- move rule in this book. It is worth pointing out, however, that in W v 2JL even quite ordinary initial positions often require more than 50 moves. This is in distinction to H+JL v E, for example, in which the percentage of positions needing more than 50 moves is very small. In fact, certain of Rinck’s studies may be regarded as sound after all, in that White (with the queen) can either win a bishop quickly using Rinck’s solution, or take more than 50 moves win- ning another way! The most important position in this ending was, curiously enough, one of the first to be analysed and it is one of the very few positions which have been validated by the computer. (420): This position is indeed drawn as Lolli claimed, but unlike Karstedt’s straightforward draw with W v .£.+£>, Lolli’s draw does require careful defence. It is important that Black avoids being stuck with one of his bishops pinned. We may as well suppose that White moves first. The following analysis covers White’s various winning attempts. 1 Фе7 Дс7 The simplest defence; Black erects a barrier against White’s king. 2 Wb2+ Фа7 It is already possible for Black to go wrong:
Queen v Two Bishops 291 420 =/= Lolli, 1763 1) 2...Фс8? (this may appear safe, but Black’s king is confined and he immediately falls into zugzwang) 3 Wb3 Ла8 (З...ЛЬ8 4 Wb6! ЛЫ 5 Wh6 Ла8 6 Ш6+ ЛЬ7 7 We6+ and mate in two more moves) 4 'Sfc4 ЛЫ (or 4...ФЬ7 5 *d7 ЛЬб 6 Wa4 JLgl 7 Wc6+ Фа7 8 Wc7+ ЛЬ7 9 Wa5+ Лаб 10 Феб ЛТ2 11 Wai ЛеЗ 12 Wb2 Лgl 13 Wg7+ picks up the bishop) 5 Wg8+ ФЬ7 6 fb3+! (White must act quickly, or Black re- stores Lolli’s draw by ...Лсб) ЛЬб (б...Фаб 7 Wa2+ Ла5 8 Фd6 ЛfЗ 9 Фс5 ЛЬ5 10 We6+ Фа7 11 Wd7+ and the next check will win a bishop) 7 Wbl Лсб 8 Фd6 Лg2 9 Wc2 ЛП 10 Wh7+ Фаб 11 Whl Ле2 12 Wa8+ Ла7 13 Фс7 and wins. 2) 2...ЛЬ6? 3 Фd6 Ле4 (З...Ла4 4 Wb4 Лсб 5 Wbl transposes into line 1) 4 Wb4 ЛЫ (or 4...Лсб 5 Wbl with line 1 again) 5 Wbl Лg2 6 Wc2 and line 1 provides the rest of the solution. However, Black can also play 2...Фаб or 2...Фа8; the important point is to avoid having a bishop pinned. 3 Wb4 Фаб The bishops must stay where they are; З...Фа8 also draws, but every other move loses. 4 WcS ФЬ71- 5 Феб ЛЬ8! Not 5...ЛЬ6? 6 Wb4! Фс7 7 We7+ ФЬ8 8 Фd6 (Black is unable to de- fend the position once the white king has reached d6) Ла8 9 Wg7 Фс8 (9...ЛЬ7 10>Ь8+Фа711 Ш+ФЬ8 12 Фd7 is zugzwang, and White wins after 12...Ла8 13 Wa6 Л12 14 Wf6 or 12...Лс8+ 13 Феб Ла7 14 Wb2+ Фа8 15 Фс7) 10 Wd7+ ФЬ8 11 Wa4 (threatening 1йгаб)ФЬ7 (11...ЛЫ 12 Wa6 Лс7+ 13 Фd7 ЛЬ7 14 Wb5 ЛЬ2 15 Wb4 Фа8 16 Wa3+ ФЬ8 17 Wf8+) 12 Фd7 (zugzwang) Agl 13 Wc6+ Фа7 14 Wc7+ and we have transposed into the analysis of 4...ФЬ7 in line 1 above. The move played avoids a pin and at the same time keeps White’s king out. 6 Wb4+ Фа7 6...Фс7 also draws, but it blocks in the bishop and 6...Фа7 is simpler. However, meeting Wb4+ by ...Фа7 is only possible when White’s king is on e6, as we shall see later. 7 Ш5+ ФЬ7 8 Фе7 Лс7 9 Wc5 ЛЬ8 10 *b4+ Фс7! Black must be careful; playing ...Фа7 only works when White’s king is unable to move to d8. Now, for ex- ample, 1О...Фа7? would lose after 11 Фd8! ЛЬ7 12 Wc5+ Фаб 13 Фd7
292 Secrets of pawnless Endings ±a7 14 Wa3+ ФЬб151ЙЪ4+ Фаб 16 Фс7 and White wins. 11 Wb3 After 11 Феб, the simplest reply is 1 l...JLd7+ 12 Фе5 (12 Фс15 i.c6+! 13 Фе5 JLa7) JLc6, and White is not making progress. 11 ... JLa7! This looks like the moment when White should be able to make prog- ress, but in fact it isn’t possible. Black intends to play either ...JLc5+ or ...JLb6, restoring his blockade. White would like to bring his king to d6, but after 12 Wg3+ ФЬ7 White cannot continue 13 Фd6 because of 13...JLb8+. 12 ®c4 ФЬ7! Black must not leave a bishop pinned. After 12...JLb6?, White would win by 13 Феб (a useful position to know; it is a win whoever moves first) JLa7 (13...ФЬ7 141Ъ4Фс7 15 We7+ wins as in the note to Black’s 5th move) 14 ^аб! and now: 1) 14...JLc5 15 ®a5+ JLb6 16 We5+ Фс8 (1б...ФЬ7 17 Wb2!) 17 Wh8+ ФЬ7 18 Wb2! Фс7 19 Wg7+ ФЬ8 20 Фd6 wins as in the note to Black’s 5th move. 2) 14..JLb6 15 ^аЗ (threatening We7+) JLd7+ 16 Фе5 i.b5 17 Ж16+ ФЬ7 18 Фс15 (Black’s blockade has broken down) JLa7 19 ЧИеТ+ ФЬб 20 Wc5+ Фаб 21 Wc7 JLb6 22 Wc8+ Фа7 (22...Фа5 23 Wa8+ ФЬ4 24 W8+ Фа4 25 ^7 is zugzwang, and White wins after 25...JLa5 26 Wa? JLe8 27 Фс5 i.b5 28 Wa8 JLd3 29 Ж15 JLb4+ 30 ФЬб picking up the bishop) 23 Фd6 JLa6 24 Wd7+ JLb7 25 W4+ ФЬ8 26 Фd7 (now Black is in zugzwang) JLc5 27 Wb5 JLd4 28 Wb4 JLg7 29 Ш6+ Фа7 30 Фс7 and wins. 13 ®Ь4+ Black’s bishop on a7 is well posted to check White’s king away after either 13 Фd6 or 13 Фd8. 13 ... Фс7! 14 Wa5+ ФЬ7! But not 14...JLb6? 15 Ш6! JLd7 (15...±c5+ 16 Феб JLb6 17 Wa3 transposes to line 2 in the previous note) 16 Ж:4+ JLc6 17 Феб, again leading to the previous note. 15 Фдб ДЬ8+! 16 Фс5 JLa7+! 17 Фс4 JLb6 and the blockade has been re- stored. White is tantalizingly close to a win in this line, but with accurate de- fence Lolli’s draw can be held. There is no other known fortress position. I say ‘known’ because until recently having a fortress was thought redun- dant, since even the general non- fortress positions were believed to be drawn. After having used the data- base for some time, I am reasonably confident that Lolli’s draw is the only possible fortress, although I suppose it is just possible that an- other might turn up. Readers who are hoping to find a recipe for winning with W v 2JL will be disappointed, because the bad news is that the winning process is enormously complicated. One day somebody may explain it in detail, but it would probably require a book all to itself. The good news is that in a practical game the defender will
Queen v two Bishops 293 probably also play inaccurately, so you still have good chances to notch up the full point! Even though we are not able to give a detailed description of the winning procedure, we will look at a number of examples which give the general flavour of the winning tech- nique. Since many of these positions require more than 50 moves to win, we will not be able to follow every variation! Some relatively favourable posi- tions can be won considerably more quickly: 421 +/- Dedrle, 1940 3rd Pr., Tijdschrift v. d. KN SB (421): This takes a mere 19 moves with White to play: 1 Wgl (as given by Dedrle; note that 1 ФТ4? actually throws the win away, because after 1 ...JLg6! White is unable to prevent 2...i>g7 reaching Lolli’s draw) and now: 1) l...£.g6 2 Wa7! (White must prevent ...<4’g7) JLh5+ 3 ФТ4 Jlg5+ 4 Ф45 JLg6+ 5 Фе5 (this is a bit like Lolli’s position, but with Black hav- ing one less file to play with; the lack of space proves fatal) JLh4 6 Wb6 JLg3+ 7 Феб i.h4 8 We3+ ФЬ5 (8...JLg5 9 Wh3+ transposes to the main line of this note) 9 Wf4 JLg5 10 Wf3+ ФЬб (10...Ф114 1ГФе5 is zugzwang, and White wins after ll...±e8 12 Whl+ Фg4 13 Wdl+ ФgЗ 14 Фf5 JLe3 15 We2 JLd7+ 16 Фе4 followed by Wd3+) 11 Wh3+ Фg7 12 Wg3 ФЬб (12..JLh6 13 Wc7+ Фg8 14 ФТ6 JLh5 15 Wd7 ФЬ8 16 Wc8+ ФЬ7 17 Wf5+) 13 Wh2+ Фg7 14 We5+ ФЬб 15 Wh8+ (a typical manoeuvre) Ah7 16 ФТ7 and wins. 2) l...i.g5 2 Фg4 i.f6 3 Ф14 (zugzwang) JLg6 4 Wa7! JLd8 5 Фе5 JLg5 6 Wb7 (Black is in zugzwang again) JLh4 7 Wb6 and White wins as in line 1. With Black to play, the win takes 35 moves; for reasons of space this is omitted. 422 +/- Dedrle, 1939 1st Pr., Sach
294 Secrets of Pawnless Endings (422): In this case it makes no dif- ference who moves first; White needs 14 moves to win in either case. The simplest win is 1 Wf3 JLg4 (l...i.d7 2 Wf6+ ФЬЗ 3 Wh6+ ФЬ4 4 Wd2 Феб 5 Wc3+) 2 Wf6+ ФЬ5 (2...Ф113 3 Wh6+ ФЬ4 4 Wc6 *g3 5 Wc7+ *f3 6 Wf7+ ФеЗ 7 *g2 puts Black in zugzwang and wins after 7...JLg5 8 *g3 Фе2 9 We6+ *d3 10 Wf5+) 3 *g2 ФЬ4 4 Wg7 (Dedrle gave 4 Wf4, gradually pushing Black up the board, but 4 'Slgl is consider- ably quicker) JLf5 (4...JLg5 5 Wh7+ ФЬб 6 <S?g3 wins) 5 Ф13 JLg5 (or 5...JLg6 6 Wh8+ *g5 7 We5+ ФЬб 8 *g4) 6 ФеЗ Фс2 7 Wh8+ Фg6 (7...ФЬ6 8 We5+ Фё6 9 Wd6+ picks up the c2-bishop) 8 We8+ ФЬб (or 8..Ф^7 9 Wd7+ ФЬб 10 Фg4 Ag6 11 Wd6 ФеЗ 12 Wh2+ Фё7 13 We5+) 9 We6+ Фg7 (9...i.g6 10 Фg4 Фс1 11 Wd6 ФеЗ 12 Wh2+) 10 Wd7+ ФЬб 11 Фg4 JLg6 12 Wd6 ФеЗ 13 Wh2+ Фg7 14 We5+ wins. 423 +/- Dedrle, 1940 2nd Pr., Schach (423): White to play can win in just 18 moves: 1 Wb2 (not 1 Wd3+? ф(2! 2 Wg6 Фе2+ with Lolli’s draw - see the position after White’s 11th move in diagram 420) Фе2+ (every- thing else loses immediately; curi- ously, Dedrle’s main line continued 1 ...ФГ4 2 Wb8+ Фе4 3 Wb7+ Ф14 4 Wc7+ followed by a staircase ma- noeuvre, but he overlooked that 3 Wbl+ wins a bishop straight away) 2 Фd5 and now: 1) 2...ФГЗ 3 Wf6+ Фё2 (3...*g3 4 Фе4 is very similar) 4 Фе4 ФgЗ (4...JLf2 is similar to diagram 421) 5 Wg5+ Ф12 6 We3+ ФН 7 Wg3 Af2 8 Wh3+ Фё1 (8...Фе1 9 Whl+ Ф<12 10 Wh6+ Фdl 11 Wg5 Фе1 12 Wgl ФЬ5 13 ФdЗ Фе2+ 14 ФеЗ ФЬ5 15 Wg4+ Фс 1 16 Wd4 wins) 9 Фf4 Afl 10 Wg4+ JLg2 11 Wdl+ ФЬ2 12 Фё4 ФеЗ 13 We2 JLgl 14 We5+ ФЫ 15 Wai followed by ФgЗ and wins. 2) 2...Ф112 3 Wc3+ Ф12 4 Фе4 Фё4 5 Wd2+ Фё3 6 Wf4+ ФЬЗ 7 Wf2 JLg3 8 Wfl+ transposes into line 1. 3) 2...ФТ2 3 Фе4 Ф11 4 Wd2 Ф(2 5 We3+ is line 1 again. 4) 2...ФГЗ+ 3 Фе5 JLf2 4 Wc3+ Фе2 5 Фf4 JLg2 6 Wc2+ Фе1 7 Wd3 ФЬ4 8 Wbl+ Ф12 9 Фg4 £d8 10 Wc2+ wins the loose bishop. With Black to play, White needs a massive 55 moves to win after l...Фf4; again we omit this. It wasn’t always necessary to use a computer to prove Rinck’s studies incorrect: (424): This was intended to be ‘White to play and draw’, but Black
Queen v Two Bishops 295 424 425 Rinck, 1939 Revista Romana de Sah wins after 1 Фе5+ ФИ7 and now there are two lines: 1) 2 Фс8 We4 3 *d6 (3 *f6 Wh4+ 4 ФТ7 Wg5 wins a bishop) Wb4+ 4 Ф<15 (4 Феб Wc4+ 5 Фd7 Wb5+ wins after 6 Фd6 Wb8+ or 6 Феб We8+) Wb5+ 5 Фd4 Wb6+ and the next move forks king and bishop. 2) 2 Фдб (Rinck believed that this move leads to a draw) We3+ 3 ФГ6 (3 ФГ8 We6 4 JLd3+ ФЬ8 wins) W2+ (Rinck’s main line continued 3...Wb6, but this is an error pushing the win up to 60 moves) 4 Фе5 Wel+ (Rinck overlooked this move) 5 Ф44 (otherwise Black wins by 5...1йга5+ or 5..>al+) Wd2+ 6 Фе5 Wa5+ and the bishop falls. The next two positions cover in- termediate length wins, i.e. those be- tween 30 and 40 moves long. (425): White is to move in this position, which arises in PospiSil’s composition after a few introductory moves. The main line runs 1 JLf6+ (1 Jlf7 Фе5 is line 1 of diagram 421) PospiXil, 1970 =lst Pr., Moravec Mem. Tny. Фс5! (the only move to win; after 1...Фе4? 2 JLg6+!, I...*d5 2 Jlf7+! Фd6 3 Фg7 and 1...ФеЗ 2 JLg*6! White reaches Lolli’s draw) 2 Jlf7 (2 JLg6 Фd6! 3 JLf7 1Skg2! is worse) Wg2! (Black must prevent Фg7) 3 Фе7 (trying to keep Black’s king out) !йке4+ 4 Фf8 (after 4 Феб Wb7+ Black’s king reaches d5 or d6) Wh7 (again preventing Фg7) 5 Фе7 Феб 6 Феб (6 JLg5 W5 7 ФЬб We5+ 8 Феб Фс7 is zugzwang; after 9 Фf7 Фd8 or 9 Фf8 Wg5+ 10 ФТ7 Ш+ 11 Фе7 Wh4+ 12 ФТ7 Фd8 Black is making progress) ^ЬЗ-ь 7 Фе5 Фd7 8 Фg5 (here PospiSil stopped, de- claring the position a draw; in fact the entire sequence of moves so far has been optimal play for both sides and now Black is only 24 moves from victory) W'g3-t- 9 ФТ5 W3+ 10 ФГ4 Фе7 11 Фс4 Wc6 (this move in- dicates how hard the winning pro- cess is; after every other move the win is extended beyond the 50-move barrier) 12 Фg5+ Фч16 13 Фf4+ Фd7
296 Secrets of Pawnless Endings 14 ЛГ7 Фе7 15 Ah5 Wc5+ 16 *g6 (16 Ле5 1B,c2+ 17 i’gS Феб makes progress) Ж15 (zugzwang) 17 Ag5+ Феб 18 Ag4+ Фе5 19 ЛЬб Ш6+ 20 Фg5 1Т6+ 21 ФЬ5 Фе4 22 Ag5 «Т7+ 23 ФЬ4 (23 ФЬб Фе5 24 ЛеЗ Ш5 25 ФЬ5 ФГ6+ 26 ФЬ4 ®е5 27 Ла7 Wel+ 28 ФЬЗ Фg5 wins) Wh7+ 24 ФgЗ Wc7+ 25 ФЬЗ Wc3+ 26 ФЬ4 Wh8+ 27 ФgЗ We5+ 28 ФЬ4 Wh2+ 29 ЛЬЗ ФТЗ wins. 426 -/+ Rinck, 1939 1st Pr., Magyar Sakkvilag (426): After 1 Ab3 Ш+ (win- ning in 36 moves; the next best move, l...Wf4+, takes 55 moves) 2 Фе5 Wg7+ 3 Фе4 Wg6+ 4 Ф44 Феб 5 Ac4 Wc2 6 Леб (Rinck stopped his analysis here, assuming the po- sition to be drawn) Wh2+ 7 Фе4 Whl+ 8 Ф44 Wh4+ 9 Ag4 (9 Фе5 Wel+ 10 ФГ5 Фd6 11 Ac8 W1+ 12 Фе4 We2+ 13 ФГ4 Wc4 wins) Фс15 10 Ag7 Фс4 11 ФГ5 (11 Ле5 ФdЗ 12 Ag7 transposes) Ф<13 12 ФГ4 (12 Л16 W2+ 13 Фе5 Wc5+ 14 ФГ4 We3+ 15 ФГ5 We4+ 16 Фё5 ФеЗ and White is driven back) ^12+ 13 Фg5 We3+ 14 Фg6 Wgl 15 Ф45 WgS (zugzwang) 16 Af6 (or 16 Ле5 W2+ 17 Феб Фе4 18 Ad6 We3 19 Af5+ Фd4+ 20 ФГ6 Фс15 and again Black’s king advances) Ж16 17 ЛЬ5 Ш5+ 18 Ле5 We4+ 19 Феб Wc6+ 20 ФГ5 Wc8+ 21 ФГ4 Ш8+ Black’s king reaches e4, and the rest is simi- lar to the previous positions. The fin- ish might be 22 ®g5 Фе4 23 ЛЬ2 Wf5+ 24 ФЬ4 Wfl 25 Фё3 Ш+ 26 ФЬЗ We3+ 27 ФЬ4 ФГ5 28 Ag4+ Ф«5 29 Лс7 Ш2 30 ЛЬ8 Wel+ 31 Ag3 Whl+ 32 ЛЬЗ We4+ 33 Ag4 Wh7+ 34 Л115 Wh6 and wins. So far we have not looked at the most difficult winning positions, but in the next two examples we cover two long wins from start to finish. 427 Original (427): This is a key position for long wins. If Black cannot actually reach Lolli’s position, then he should adopt what we call a ‘pseudo-Lolli’ position instead. By this we mean a position in which the two bishops
Queen v Two Bishops 297 stand next to each other, with the king sheltering behind. This is gen- erally the toughest defence to break down. In the diagram, if Black could transfer his bishop from d6 to b6 then the result would be a draw, but this is certainly impossible when White’s king is so close. We take White to play. The win runs 1 ^еб JLb7 (l...±d7 2 Wf7 Феб 3 Ш5+ Фс7 4 WaS-t- forces White’s king in to d5) 2 ФЬ5 i.c6+ 3 Фаб i.b7+ 4 Фа5 (White is making use of the ex- tra file on the left which does not ex- ist in Lolli’s position) JLc6 5 Ж:4 i.e7 (5...±e5 6 Wc5 i.f6 7 Wf8 i.d8 8 Wg7+ transposes to the main line) 6 Wd4 JLd8 7 Wg7+ Фd6+ 8 ФЬ4 with two lines: 1) 8...JLe7 9 Фс4 Феб (see line 2 for 9...JLd8) 10 Wg6+ Фd7 11 Wf7 Фd6 12 Фd4 (zugzwang) JLb7 13 Wg6+ Фd7 14 ®Ь6 Лсб 15 Фе5 JLd6+ 16 Фf6 JLd5 17 Wb5+ i.c6 18 Wa5 i.b8 19 ФТ7 i.c7 20 Wc5 i.d6 21 Ш7+ i.c7 22 Фf6 (this is the key zugzwang position; Black’s king is forced out into the centre of the board) Фd6 23 ШЗ+ Фс15 (23..^d7 24 Wh3+ Фd6 25 Wg3+ Фd7 26 Wg4+ Фd6 27 Ш+ Фd7 28 W5+ Фd6 29 We5+ Фd7 30 Bj6+ wins) 24 Фе7 leading to the position at move 7 in diagram 425. 2) 8..JLb6 9 Фс4 JLd8 10 Wg6+ Фd7 11 Фd4 JLb6+ 12 Фе5! (other- wise 12...Фс7! reaches Lolli’s draw) JLc7+ 13 Фf5 JLd5 14 Wa6 and now both 14...JLd6 15 Wb5+ i.c6 16 Wb6 JLd5 17 ФТ6 Лсб 18 Wa5 and 14...Фе7 15 ЖЗ+ Фd7 16 Фf6 JLd6 17 ^сЗ JLc6 18 WaS transpose to line 1. 428 +/= Original (428): Black to play draws by l...JLb6 or 1...ФЬ7, setting up Lolli’s draw, so suppose that White moves first. To my mind, the most remark- able thing about this ending is that even if Black is very close to Lolli’s draw, he can either reach it immedi- ately or not at all. This applies re- gardless of how far away White’s king is, because White’s queen can prevent Lolli’s draw all on its own, giving the king time to approach. Here White wins in 63 moves by 1 Wb2! (stopping both ...JLb6 and ...ФЬ7) Фd7 (Black’s pieces are cu- riously helpless; he cannot get his king to b7) 2 Wd4+ Фс8 (2...Фе6 3 ФЫ JLd5 4 Фс2 Ле5 5 Wg4+ Фd6 6 ФdЗ JLf6 7 W5 JLe5 8 Wg6+ Фе7 9 ФеЗ Фd7 10 W5+ Фd6 11 ФdЗ is a crucial zugzwang for this particular pseudo-Lolli position, which is sim- ply diagram 427 shifted one square diagonally; play continues ll...JLc6
298 Secrets of pawnless Endings 12 Wg6+ *d7 13 Фс4 JLd6 14 Шб Фс7 15 We6 and now we have ar- rived exactly at diagram 427) 3 Wb4 Фч17 4 ФЬ2 (the queen is actively placed, so the king can approach) Ле5+ 5 Фс2 Jld5 (Black’s king can- not reach b7, so he tries to set up a blockade in the centre) 6 ФdЗ Феб 7 Wa5 kcT 8 Wa4+ Фd6 9 ФеЗ JLb6 10 Wb5 JLc5 11 ФdЗ and now we have a zugzwang which is the reflec- tion of that in the note to Black’s 2nd move. After the further ll...JLc6 12 Wb8+ Фd7 13 Фс4 JLd6 14 Wg8 Фс7 15 ^еб we have transposed to diagram 427. Starting from a comer position in which Black has not achieved Lolli’s draw, we may divide the winning process into three phases. In the first phase, Black sets up a pseudo-Lolli position; White must break this down by zugzwang, often passing through diagram 427 in the process. The end result is that Black’s king is driven into the centre of the board. If the ini- tial position is favourable for Black, this phase can last up to 35 moves. During the second phase. Black’s king is forced towards the edge of the board, but the attacker must be careful to steer him away from a cor- ner, where he may again threaten to set up Lolli’s draw. He must also pre- vent Black re-establishing a pseudo- Lolli position, which would set the clock back by up to 40 moves. In the final phase, the king and queen coop- erate against the sidelined king in order to pin and win a bishop. Dia- grams 427 and 428 concentrated on the first phase, diagrams 425 and 426 covered the second phase and diagrams 421, 422 and 423 dealt with the third phase. As described above, the winning process perhaps doesn’t sound too difficult, but the problem lies not in the outline of the plan but in its exe- cution. The first and second phases demand extremely accurate play from White, and a single slip can send White sliding down the snake to square one. It is already time for the unique reciprocal zugzwang in the ending ofWv2JL: 429 =/- zz (5 moves) (429): Readers will be relieved to know that this position is very sim- ple. With Black to play, l...Jlb8 (or 1 ...Jlh2 2 Wb4+! followed by Wa3+ and Wb2+ winning the bishop) 2 1Ъ4+! Фа8 3 Фс8 Ла7 4 Фс7 fol- lowed by WS-t- finishes Black im- mediately. White to play has no king moves and no checks; when he moves his queen away Black just plays ...JLc7+ with Lolli’s draw.
Queen v Two Bishops 299 As always, we end with the lon- gest win in the ending of W v 2Л (71 moves). 430 (430): Here Black already has a good pseudo-Lolli defence and in addition White’s king starts out in a very bad position, which costs more time. 1 ФЬ8 JLd6+ 2 Фа7 Лс5+ 3 Фаб! Лс4+ 4 Фа5! Ф^б (Black tries to keep White’s king imprisoned as long as possible) 5 W6+ Фс15 6 >4 (zugzwang) JLd3 7 >12 Фе4 8 >3 (displacing the bishops and liberat- ing the king) JLd4 9 >1+ Фс15 10 ФЬ4 Ле4 11 Wg3 JLf5 12 >7 JLd3 13 >4 (zugzwang again) Ле4 14 Wg5+ Ле5 15 Wg8+ Фd4 16 >4+ ФеЗ 17 >6 Фd4 (after 17..Ф*4 18 Фс4 we are already in the pseudo- Lolli zugzwang from the analysis of diagram 428, while 17...JLg3 18 W'g4 i.f4 19 Фс4 Ле5 20 Wg5+ JLf4 21 Wgl+ Фе2 22 Фd4 JLf3 23 ФеЗ Ле4 24 Фс4 Ле5 25 Wg5 JLd3+ 26 Фс15 ЛсЗ 27 >1 Ле1 28 Wb2+ ФеЗ 29 >5+ Фd2 30 Фс5 Л12+ 31 ФЬ4 Ле1 32 ФЬЗ Л(2 33 ФЬ2 ЛеЗ 34 Wh2+ Ле2 35 ФЬЗ Jld4 36 Wg3 transposes into the main line at move 36) 18 Wb6+ Фс15 19 Wb7+ Фd4 20 Wa7+ Фс15 21 >17+ JLd6+ 22 ФеЗ £g6 23 Wb5+ Феб 24 Фd4 ЛП 25 Wg5 Фd7 26 Wg7 Фе7 27 Фе4 Феб 28 Wh7 Ле8 29 Wh6+ Фе7 30 Фf5 JLd7+ 31 Фg5 Ле5 32 Wb6 Леб 33 >5+ Лd6 34 >7+ Лd7 35 Фg6 Ле5 36 Wb6 Леб 37 >5+ Лd6 38 >7+ Лd7 39 >14 Ле8+ 40 Фg5 Лсб 41 W6+ Фd7 42 W7+ Фс8 43 >7 (any other move extends the . winning process by at least 26 moves) Лс7 44 Фf5 Фd7 45 Фf6 (we have transposed to line 1 of diagram 427) Фd6 46 Wa3+ Фс15 47 Фе7 ЛЬ5 48 Wb3+ Фс5 49 >3+ Лс4 50 Фd7 Лf4 (now we are in diagram 425) 51 >6 (any other move extends the winning process by at least 31 moves) ЛЬ5+ 52 Феб Лс4+ 53 Фе7 Лс7 54 Фd7 Ла5 55 >5+ ФЬб 56 >5 ЛЬ5+ 57 Фd6 ЛЬ4+ 58 Фс15 Лаб 59 >6+ ФЬ5 60 >6+ Фа5 61 Фd4 ЛЬ5 62 >7+ Фа4 63 >7+ ФЬЗ 64 Wf7+ ФаЗ 65 >3+ Фа4 66 Wa8+ ФЬЗ 67 >15+ Фа4 68 >2+ ЛаЗ 69 ФеЗ and Black cannot stop 70 Wb3+ followed by 71 Wxa3+.
12 Queen v Two Knights Of the three endings with a queen against two minor pieces, this is the most complex. The reason is that it is more marginal than the two other cases. They were clearly won for the queen, except if Black already had a fortress, whereas this ending is less clear-cut. The general result is undoubtedly a draw, but there are many losing positions, some of them very lengthy. This is another ending in which failure to understand the general situation has led to a high percentage of faulty analysis; indeed there seems to have been some confusion about the general result of W v 2£). СЬёгоп and Keres both correctly stated that the general result is a draw, but then spoilt the effect by giving a losing position (diagram 436 below) as an example of what Black should aim for. On the other hand, study composers appear to have assumed that the position is lost for the knights except if there is an immediate fortress. This is not true, and so virtually every study ever composed with this material is cooked. For example, the father and son combination of A. and S.Maniakin have made a speciality of this material, but in all the studies they have pro- duced, I have not yet succeeded in finding one which is sound. Rinck, Pogos- iants, Zakhodiakin, Yakimchik, Nadareishvili and Kovalenko are also amongst the computer’s victims. Because of the great complexity of the ending and the inevitable space re- strictions, my coverage is biased very much towards the over-the-board player. We will even have to pass by the 229 reciprocal zugzwangs with barely a glance. The most paradoxical aspect of endings with a queen against two minor pieces is that two knights make the best defensive combination, whereas (for me, at any rate) intuition erroneously suggests that two bishops should offer the best chance. This chapter also provides the answer to the question ‘With which material balance can you blunder away your queen, and yet the position remains a draw?’. The best defensive arrangement is to have the two knights on laterally adjacent squares, with the king ac- tively posted between them and the enemy king. This virtually guaran- tees a draw against any arrangement of White’s pieces. (431): It doesn’t make any differ- ence where White’s queen starts; the result is always a draw. Here is a sample winning attempt: 1 ^аб-ь Фс15 (the safest; it is interesting to note that l...£te6? 2 Фс4! £)e5+ 3 ФЬ5! Фс15 4 ЧИа2+ loses in a further
Queen v Two Knights 301 431 =/= Original 41 moves; Black can easily lose once the defensive arrangement with the knights next to each other is broken) 2 Wc4+ Фаб 3 Фе4 5k5+ 4 ФТ4 £kl7 (this is a safe choice, although there are many other drawing moves; after 4...£te6+ 5 Фg4 Фе5 6 ^65+ Фаб 7 Wb4+ Фа7, for example, the position remains drawn, but Black’s king is in a less active position) 5 Фg5 (heading for f7) Фе5 6 ^2+ Фаб 7 Bj4 2кб 8 Фg6 (8 Ш+ Феб) &с5 and Black has set up a new defensive formation, again with his own king between the enemy king and the knights. It is worth noting that Lolli (who discovered the v 2JL fortress) had the right idea as long ago as 1763. ECE quotes the position \\Ф^З,Ж15 v ВФсЗ,£)Ь4,с4; Lolli’s analysis continued 1 Wdl “5)d2+ 2 Фе2 £)b3, setting up the ideal defensive forma- tion, which we therefore name after him. In Lolli’s defence, the two knights form a solid barrier; Black’s king is positioned between the knights and the enemy king, which stops White’s king slipping through the barrier if Black has to move a knight. If White advances his king, then it can be driven away with checks. Note that this is not a true fortress, because the situation is not entirely static. Black may be forced to reconstruct his bar- rier in different positions as a re- sponse to the manoeuvres of White’s pieces. Lolli’s drawing method is quite universal in its application. Consider, for example, the position WФe4 v BФd7,£kl8,e8; one might expect that lack of space would cause prob- lems for Black, but no, the position is still drawn no matter where White’s * queen starts. Alternatively, suppose we move the position towards the edge of the board. The results are the same with WФc2 v ВФс5,£)Ь6,сб, i.e. it is invariably drawn. However, if we move one square further then Black can lose:
302 Secrets of Pawnless endings (432): Black to play can activate his pieces and draw comfortably, for example l...£k5 2 Фс2 (2 ФеЗ £lba4+ 3 Фс2 £lb6 doesn’t help) 2>c4 3 Wd8 (3 ФеЗ 2>a4+) ^b6 4 ФеЗ £lba4+ and 5 i>d4 is impossi- ble. But White to play can drive the enemy king to the edge of the board: 1 Ш13+! Фа5 2 ФаЗ and now: 1) 2...2Л4 3 Wc3 2kl5 4 Wc5+ Фаб 5 Фа4 (once the king is sepa- rated from the knights, only a mira- cle can save Black) ФЬ7 6 Ж16 Фа7 (the exact moves make little differ- ence; Black can only move his king in any case) 7 ФЬ5 ФЬ7 8 Ж18 Фа7 9 Фс4 ФЬ7 (9...Фаб 10 Wb8) 10 Фс5 Фа7 11 Ж:8 and Black has to move a knight. 2) 2„.^Ь8 3Ш5+Фа64«е4(Н is important to prevent ...£te6; after the move played, Black is in zug- zwang - if White were to play, then it would take him 8 moves longer to win) 2>6d7 (4...&8d7 5 ФЬ4 2>b8 6 Фс5 is worse) 5 Wbl Фа7 6 WbS £>b6 7 ФЬ4 (quick action Is essen- tial, or else Black plays ...ФЬ7 fol- lowed by ...5)c6) ФЬ7 8 Фс5! £ld7+ (8...£la6+ 9 Фd6 is similar) 9 Фd6 2>b8 10 Wb 1 2kl711 Bj4+ (the king reaches сб) Фа7 12 Феб £)Ь8+ 13 ФЬ5 2>6d7 14 Ж15 2>b6 15 Wc5 £kl7 16 Ж:7+ Фа8 17 Фаб wins. 3) 2...£>c5 3 We2 (White must prevent ...ФЬ5) £kd7 4 Wh5+ Фаб 5 ФЬ4 ФЬ7 6 ФЬ5 £ic8 (threatening to draw by 7...£kl6+) 7 W3+ Фс7 8 Wc3+ Фd8 9 Ш5+ Фе8 (9...Фе7 10 Феб is worse) 10 WaS £lb6 (how- ever Black plays, the knights are quickly paralysed) 11 We4+ Фd7 12 Ж14+ Фс7 (otherwise Феб, and the black king is gradually pushed to the kingside) 13 Ж:5+ Фч17 14 Фаб Фd8 15 ФЬ7 Фd7 16 Wc6+ Фе7 17 Фс7 ФТ7 18 Wh6 Фе7 19 Wg6 Фf8 20 Фd8 winning. If the knights cannot be next to each other, then another sound ar- rangement arises when they are diag- onally adjacent. 433 =/= Original (433): When Black’s pieces are organized like this, White is better off than in diagram 431, but never- theless he can only win under very favourable circumstances. For exam- ple, suppose we move White’s queen in the above position. Then White only wins if the queen starts on ei- ther a6 or b6, and it is his turn to move. In the diagram, Black threatens to play ...£lf7, setting up Lolli’s draw; indeed, if Black is to move, no fewer than 9 of the 16 legal moves maintain the draw. White to play cannot make
Queen v Two Knights 303 progress, for example 1 Ф(14 £)f7, 1 1Hrg4+ Фе5 2 Wg5+ Феб or 1 'йкеЗч- ФГ6 (but not 1...ФП? 2 We5! 2>e8 3 1ЙГЬ5+! £)g6 4 Ж15+! and White can win in a further 37 moves) 2 Wh6+ Фе5. Suppose now that the queen starts on b6. Then White wins by 1 Фд4! £)f5+ 2 Фс5! Фе5 (threatening to play ...£)e4+ followed by ...£)f6) 3 Wb2+ (White tries to force his own king to d5) Феб 4 Фd7 (the best defence; 4...Фf6 and 4...<i>f7 lose quickly after 5 Фс15, but now 5 Фd5 may be met by 5...£te7+, and the win has become much more diffi- cult) 5 W'g4 (a typical idea against two knights which are defending each other; pinning one immobilizes both) Феб 6 Феб Фе5 (threatening to draw by 7...3M4+ followed by ...41e4 or ...£)e6) 7 Wh5 £)e4 (now the threat is ...£)f6) 8 We8+! Ф44 9 Wb8+ (this is the danger when the knights are diagonally adjacent; a check along the diagonal separating them either pins a knight or drives the defending king away) Ф13 (if ei- ther knight moves to d6, then Фс15 wins easily) 10 W8! Фg4 (10...Фf4 11 Фd5) 11 Фd5 (White makes progress) £rf2 12 WcS Фf4 13 VHcl+ Фg4 14 Wb6 2)h3 15 Wb4+ ФЬ5 (15..^g5 16 Фе4 is worse) 16 Фе4 2>h6 (16...2>h4 17 Wb5+ 2>g5+ 18 ФГ4 2>g6+ 19 ФgЗ 2>h8 20 Bj2+ Фg6 21 Wc2+ followed by Фg4, and Black is driven back) 17 1B,c4 (zug- zwang) #)g5+ 18 Фf4 £lh3+ 19 ФgЗ £)g5 20 Ж13 (zugzwang) £lhf7 21 ФГ4 2)h6 22 Ж15 2>f7 23 Wf5 ФЬб 24 Фg4 Фg7 25 ФЬ5 Ф?8 26 Фg6 Фе7 27 W6+ Фе8 28 Ш4 Фе7 29 Wb6 Фе8 30 Ш7 Фd8 31 Ф?6 Фс8 32 Фе7 and wins. This line shows how hard W v 2#) can be. Because the general position is a draw, a misstep by White may very well throw the win away alto- gether, rather than just set the win- ning process back. There were four ‘only moves’ in the above line, and at several other points White had only two or three possibilities to preserve the win. The third reasonable defensive position is when the knights are de- fending each other, but this is defi- nitely more risky and Black must maintain a good king position. Original (434): Again it doesn’t matter where White’s queen starts; the posi- tion is drawn in any case. The opti- mum square for Black’s king is e6, but if the king really has to move then d5 and e5 are the best choices. After 1 We3+, for example, 1..Фч16? loses to 2 Фd4! (in 26 moves) and
304 Secrets of Pawnless Endings l...£le5? loses to 2 Ф(14! in 29 more moves. The other replies all draw. 1 Фд4 is well met by 1 ...Фе7, and after 2 ФеЗ (heading for f5) Феб 3 W6+ ФГ5 Black is safe. The problem when the knights de- fend each other is not only that knights on d7 and. f6, for example, leave an entry path for White’s king via f5, but also that if White pins one knight then both may be immobi- lized (e.g. with WltfdS v ВФ<15). I mentioned above that if the knights are separated from Black’s king, then only a miracle can save the game. One situation which might be described as miraculous occurs when the knights imprison White’s king. This has been very popular with study composers, but all you re- ally need to know is the following position: Original (435): If White can stalemate Black’s king using only his queen, then Black will have to move a knight, which will inevitably allow a fork. Suppose White is to play; how would you stalemate Black’s king, by 1 W7 or 1 W8? The variation 1 Wf7? Фё4? 2 W6! Фё3 3 Wf5 Фg2 4 Wf4 Фgl 5 W3 ФЬ2 6 Wg4 ФЫ 7 Wg3 looks plausible enough, but it is wrong. The analysis runs: 1) 1 Wf7? £>e5! (surprisingly, White cannot win the knight on a5) 2 Wd5 (2 We7+ ф£5) and now: la) 2...£>c6? 3 ФЬ7! ФГ5 4 Фс7! 2>b4 (4...fte7 5 Wc5 2>g6 6 Фd6! Ф«5 7 Wc3 ФГ5 8 Wc2+ ФТ6 9 Wb2 ФГ5 10 fbl+ ФГ6 11 W1+ and White’s king penetrates to e6; note that 10 W2+ Фё5 11 Феб? would have been a mistake because of H...£lf4+! drawing) 5 Wb? (not the most obvious move; only three other moves maintain the win, and all of these set White back by 9 moves) 2>bd3 6 Фd6! 2>f4 7 >b5 2ki3 8 Wd5 Фё5 9 We4 2>f7+ 10 Ф<15 2>f4+ 11 Фd4! 2>h6 12 W5+ Фg4 13 Фе4 and White has a decisive ad- vantage. 1 b) 2...£>c4! 3 ФЬ7 Фf5 4 Фс7 (4 Ш4 Феб 5 Фс7 ФТ5 and White is not making progress) £le3 5 Ж14 £13g4 6 Фч16 4if3 and Black has achieved a reasonable defensive po- sition, adequate for a draw. 2) 1 Ш8! Фg4 (1...21e5 is im- possible, because of 2 W18+, and 1...Ф86 2 W4 Фg7 3 Wf5 Фё8 4 W6 ФЬ7 5 WgS leads to zugzwang) 2 W6! and wins by the line given above. The position after 2 W6 is in fact reciprocal zugzwang, a fact which was discovered by Mendheim as long ago as 1832.
Queen v two Knights 305 It is worth noting that the same sit- uation holds if White’s queen starts on e2. In this case 1 ^12! wins, be- cause l...£le5 loses to 2 Ш12+, while 1 Wf3? and 1 Wfl? are both met by l...^e5!, drawing. 436 +/= von der Lasa, 1843 (436): This is the position given by СЬёгоп and Keres as an example of what Black should aim for. The source of the position is rather un- clear, as a version is often quoted with the queen on e2 (which really is drawn). Diagram 436 is very instructive. Black’s knights are well posted, but his king is poorly placed; if it were on g5 or h6, for example, then the draw would be clear. If Black is to move, then l.-.'i’g? is a comfortable draw, so suppose that White is to play: 1) 1 We6? (the only move con- sidered by СЬёгоп and Keres) i’g?! 2 Ф13 and now: la) 2...£>h7? (both СЬёгоп and Keres give this move) 3 Wd7+ (the quickest, although 3 <4)g4 also wins) *g8 4 Wb7 (Keres gives 4 Wd8+?, which throws the win away after 4...ФТ7!) ^f6 (or else the king ad- vances) 5 ФеЗ (White can creep round the side of the blockade) Фf8 6 Фd4 Фg8 7 Фс5 ^e8 8 Фс15 ^>g7 (Black sets up a new barrier, but it will eventually be broken by zug- zwang) 9 Фd6 ФЬ7 10 Whl+ Фg8 11 Wd5+ ФЬ8 12 Wg5 ФЬ7 13 Фd7 (now Black must give way) £lf8+ 14 Фе7 2>g6+ 15 Фf7 2ih8+ 16 ФГ6 ^e8+ 17 Фе7 2>g7 18 Wh4+ Фg8 19 We4 2>h5 20 Wd5+ wins. lb) 2...£>h8 (2...£lg8 is the only other move to draw) 3 Ф14 £lf7! 4 Wc6 (Keres’ suggestion is the most dangerous move; after 4 ФТ5 £lh6+! ‘ White is simply checked away) 2>h7! (not 4...^h5+? 5 Фе4 £lh6 6 Фс15 2>f4+ 7 Фе5 2>g6+ 8 Фе4! 2>g8 9 Wc3+! Фf7 10 Wc4+ Фg7 11 Wd4+ Ф(7 12 ФТ5 2>8e7+ 13 Фg5! when White has made obvious prog- ress and can win in a further 23 moves) 5 Wg2+ (or 5 ФТ5 £>h6+! drawing) Фf6! 6 Wg8 £lhg5! and Black reorganizes his defence. 2) 1 Wc7! (this obvious move is also strongest; Black must either move a knight, when the barrier is breached, or allow his king to be per- manently cut off from his knights) and now: 2a) 1...Фе8 2 Wb7 2kl7 (Black cannot simply wait, because White will play his king to d6 as in line la) 3 Wb5 Фd8 4 Wa5+ Фе7 5 Фё4 Фd6 (threatening to draw with ...^e7) 6 Wb4+ Феб 7 Wc4+ Фd6 8 Wd3+ Фс5 9 Фf5 ^gf8 10 Wa6 Фс15 (this
306 Secrets of Pawnless Endings is a zugzwang position, but it takes White seven moves to lose a tempo) 11 Wh6 Фс5 12 Фе4 2>h7 13 Wg7 *d6 14 Wg6+ Фс5 15 *f5 2>hf8 16 Wh6 Ф<15 17 ^аб (now Black is in trouble) Фс5 18 Фе4 £ih7 19 ШЗ+ Фсб 20 We7 Ш+ 21 *f5 *d5 (21.. ,£k15 fails io 22 We6+, a typical tactical point) 22 Wb4 £h7 23 Wd2+ Феб 24 Wc2+ ФЬб 25 Феб ^df6 26 Фе5 ФЬ7 27 Wc4 ФЬб 28 Wc8 ФЬ5 29 Фd4 ФЬб 30 Фс4 Фа7 31 ФЬ5 winning by stalemating Black’s king. 2b) 1...5)e7 2 Wb7 (this move and 2 'Hal are the only ones to win) £}fd5 (2...ФТ7 3 ФГ4! ^h7 4 Фе5! £lf8 5 W3+ and the centralized king is enough for victory) 3 Ф13 Фf7 4 Фе4 Феб 5 Wb3 Фd6 6 ШЗ+ Феб 7 Wh3+ Фd6 8 Wh6+ Фс5 9 Wf8 Фd6 10 Фd4 Феб 11 Wh6+! 2>f6 12 Bj3+! Фd7 (12..ФЯ7 13 Wb3+! is the dangerous diagonal check men- tioned above; after 13...Фе8 14 Фе5 White’s king advances as in the main line) 13 Wd3 Фd6 14 Wa3+ Феб 15 Wa6+ Фf5 16 Ж13+ Феб 17 We2+ Фf7 (now that White’s queen is on e2, 17..^d7 fails to 18 Фе5 and there is no knight fork) 18 18^4+ Фе8 19 Фе5 2kl7+ 20 Фd6 21 We4 transposes into diagram 433 af- ter White’s 22nd move. Pre-computer analysts didn’t al- ways err in favour of the queen. They also tended to underestimate the im- portance of Black’s king position. His king should not be cowering pas- sively behind the knights, but should be either level with or in front of the knights. The reason is that sooner or later a knight will have to move, and the king is needed to plug the result- ing hole in the dike. 437 von der Lasa, 1843 (437): Chdron and ECE agree that this position is a draw with Black to play. In fact, Black’s king position is so bad that if we exclude squares where the queen is en prise, then the position is a win wherever White’s queen starts, with just two excep- tions. These are W#e7, when Black to play draws by l...$)c8+ forking king and queen, and W#e6, when l...£k8+! 2 ФЬ5 5)cd6+! 3 ФЬ4 Фс7! 4 ФсЗ ?k5 improves Black’s position sufficiently to draw. In the diagram position White wins after l...£te8+ 2 ФЬ5 (2 Феб, the only move considered in Cheron and ECE, also wins, but more slowly) and now: 1) 2...£>a7+ 3 ФЬ4 (it is strange that the winning process involves such an abrupt king retreat) £k8 (3...£kl8 4 Фс5 £ie6+ 5 Фd6 £к!4 6 Фd7 2klb5 7 We4 2>c7 8 We5 ^b5 9
Queen v Two Knights 307 Wc5 ФЬ7 10 Wc6+ ФЬ8 11 Wb6+ Фа8 12 Фс8 mates) 4 Wd7 £>cd6 5 ФеЗ (the long way round) £k8 6 *d4 2>b6 7 Wc6 2>a8 (7...Фа7 8 ФеЗ £k!8 9 We8 £)b7 10 We3 trans- poses to the next bracket) 8 We8+ Фа7 9 We3 ?k7 (9...2>b6 10 ФеЗ £к16 11 Wd3^dc8 12#Ь7+Фаб 13 ФЬ4 £k!6 14 Wd3+ ?klc4 15 Wd4 2>а5 16 Wai ?к4 17 Фс5 2>Ь6 18 Wa2 ?к4 19 Wa4 ФЬ7 20 Wd7+ ФЬ8 21 ФЬ5 wins) 10 Фс4+ Фаб 11 We5 ФЬб 12 Wf6+ Фа7 13 Wd4+ Фа8 14 Wd7 ФЬ8 15 ФЬ4 (zug- zwang) £)аб+ 16 ФЬ5 £к7+ 17 ФЬб &а8+ 18 Феб 2>а5+ 19 ФЬ5 2>Ь7 20 We8+ Фа7 21 We5 wins. 2) 2,..Фс7 3 Wc4+ Фd7 4 Wc6+ Фd8 5 We6 Фс7 6 Wf7+ Фd8 (or 6...ФЬ8 7 Wf4+ Фа8 8 Феб win- ning) 7 Феб £)a5+ 8 Фс15 £)Ь6+ 9 Фd6 2>bc4+ 10 Фс5 2к12 11 ФЬ5 2>ас4 12 We6 Фс7 13 We7+ Фс8 14 Фаб and Black loses a knight. We mentioned above that Mend- heim discovered one of the simplest reciprocal zugzwangs in 1832. Of the remaining 228, only a handful were known before the computer lent a hand. Perhaps the best achieve- ment by an unaided human is the fol- lowing study: (438): Suppose firstly that White is to play: Wl) 1 £)de6 ФЫ (a remarkable move; White is in zugzwang) 2 Фс4 We5 3 ФdЗ Ф112! 4 Фс4 (4 Фd2 Фё3 5 £k2+ Ф« 6 S)2d4+ Фе4! 7 ФеЗ Ф<15 8 ФdЗ We4+ 9 Фd2 Фс4 and wins by stalemating the king) ФgЗ 5 ФЬЗ ФГЗ 6 Фс4 Wd6 7 ФеЗ Фе4 8 Фс4 Wc6+ 9 ФЬ4 Wc2 10 ФЬ5 Wc3 438 Vlasenko, 1990 (end of study) Shakhmatnoe Obozrenie and again Black can stalemate the king. W2) 1 2>fe6 Wd5+! (and not 1...Ф(2? 2 Фс4! drawing) 2 ФЬ4 ФТ2! 3 ФеЗ ФеЗ! 4 £te2+ (4 ФЬ4 Фе4 5 2>b3 Wd6+ 6 &ес5+ Фd5 7 ФеЗ We5+ 8 ФЬ4 Wel+ 9 ФЬ5 Wc3 10 ФЬб Wb4+ and the king is forced away from the knights) Фе4 5 £ted4 Фе5 6 ФЬ4 Wd6+ 7 ФеЗ Wa3+ 8 Фс4 We3 9 Фс5 Wc3+ 10 ФЬ5 Фd6 with the usual win. W3) 1 £ife2+ ФТ2! (not 1...ФП? 2 Фс4! Wc7+ 3 ФdЗ! Wh7+ 4 Фс4! Ф(2 5 £кЗ! and draws) 2 Фс4 Wc7+ 3 ФdЗ Wh7+ 4 Фс4 ФеЗ 5 Ф<15 We4+ 6 Фс5 We5+ 7 Феб ФdЗ fol- lowed by 8...Фс4, driving White’s king away. W4) 1 £>de2+ ФТ2 2 2kl ФеЗ 3 ^ke2 Фd2 4 Фс4 We5 5 ФЬ4 ФеЗ 6 Фс4 Wa5 7 ФЬЗ Wb5+ 8 ФеЗ Wa4 9 ФЬ2 Фd2 wins. White’s problem in these lines is that he is unable to avoid a situa- tion in which his knights become
308 SECRETS OF PAWNLESS ENDINGS paralysed. Now suppose that Black moves first: Bl) 1...ФП 2 <5)de6! and, incred- ibly, this is a second position of re- ciprocal zugzwang. Black to play can only draw, for example 2...Фе1 (or 2...ФТ2) 3 £k5! utilizes a fork, 2...*gl 3 £k!4! restores the original reciprocal zugzwang, 2...We5+ 3 Феб Фgl 4 Фd7 followed by £)g6 res- cues the knights and finally 2...Wd7+ 3 Фс4 (not 3 Фс5? ФТ2) ФТ2 4 Фс5 is a comfortable draw. В 2) 1.„ФС2£к13+!ФПЗФс4! draws. ВЗ) 1...ФЬ2 2 2>fe6 Wd5+ 3 ФЬ4! ФgЗ 4 ФеЗ! ФТ2 5 ФdЗ!, fol- lowed by £rf4, and White escapes. B4) l...We5+ 2 Феб! We4+ 3 Фс5! and the knights escape. Anything that humans can do, the computer can do better, at least in the field of reciprocal zugzwangs. (439): Not only is this a remark- able position in itself, but in the main line (with Black to play) White has to find 12 consecutive absolutely unique moves, a sobering thought in- deed. Black to play: 1) 1...2>g8 2 Wa6+! (2 Wd4? 2>gf6! 3 Wd6 21e8! 4 Wc6+ Фd8! 5 ФЬ7 £lf8! threatens to draw by ...Фе7, with a Lolli formation, and 6 Wc5 is met by 6...21e6! 7 We5 Фd7!, when Black is out of danger; the six consecutive unique moves in this line show that the defence is also far from easy) Фd8 3 Wa5+! (3 Wd6? Фе8! 4 Wg6+ Фf8! 5 ФЬ7 2>gf6 de- fends) Фе7 (З...Фе8 4 Wg5! 21e7 5 Wh5+! transposes) 4 Wb4-t-l Фе8 5 Wg4! Ste7 (5...2>gf6 6 Wg7! 2>d5 7 ФЬ7! £le7 8 Wai - sometimes I wonder if the computer is pulling my leg, but this move really does seem to work - 8...ФГ7 9 Wa2+ ФГ6 10 Фс7 21e5 11 Wa6+! Фg5 12 Фd6 £>5g6 13 Феб 2>f5 14 Wa5 2>f4+ 15 Фе5! 2>g6+ 16 Фе4 2>h4 17 Wd8+ Фё4 18 Wg8+ forcing the king to the edge of the board, with a winning position for White) 6 Wh5+! Фf8 (6..^d8 7 ФЬ7 is much worse) 7 Wf3+! Фе8 8 ФЬ7! Ste5 9 Wh5+! 2>5g6 10 Фс7! ФГ7 И Фd6! Фf6 12 Wf3+! 2>f5+ 13 Фс15! Фg5 14 Wg2+ (the first mo- ment when White has a choice; 14 Wf2 also wins, albeit more slowly) Ф^б 15 Wf2 and now: la) 15.„2>e7+ 16 Фе4! Феб 17 Wa2+ Фf6 18 Wa6+ Фё5 19 Wb5 Ф?6 20 Wb6+ Фg5 21 Wd8 Фf6 22 ф£4 Феб 23 Wb6+! 2kl6 24 We3+! Фd7 25 Wh3+ (again the dangerous diagonal check, as mentioned in dia- gram 433) Фс7 26 Wh7 £k8 27 Фе5 ФЬб 28 Wh6+ Фс7 29 Феб £кб 30 Wg7+ ФЬб 31 Фd7 2>8а7 32 Wgl+
Queen v Two Knights 309 ФЬ5 33 Фс7 and Black’s king is cut off from the knights. lb) 15...&g5 16 Wgl+ *f6 17 Wb6+ *f7 (17...*g5 18 Wd8+ is again the check between two diago- nally adjacent knights; after 18...&g4 19 Феб 2>f4+ 20 Фе5! 2>g3 21 Ж14 2>h5 22 fdl+ Фё5 23 Wgl+ the king is forced to the edge of the board) 18 Wf2 Ф*6 19 Фе4 21e7 20 Wb6+ transposes to line la. 2) 1...Фд8 2 ФЬ7 2>g6 3 Wd4 Фе8 4 Фс7 ?kle5 5 Wd8+ ФТ7 6 Фd6 ?k4+ 7 Фс15 2ke5 8 Wc7+ Фf6 9 Wc3 2>f4+ 10 Фе4 2>g6 11 Wd4 Фg5 12 Wf2 Фё4 13 W6 Фё3 14 Wg5+ ФТ2 15 We3+ Фё2 16 We2+ ФЬЗ 17 Фf5 ФgЗ 18 Фg5 ФЬЗ 19 Фf6 (faster than the immedi- ate 19 Ж2, when Black can struggle on for a few moves by 19...£>h8) Фё3 20 Фf5 ФЬЗ 21 Wf2 wins. White to play has no reasonable winning attempt; 1 ^абч- Фс7! is not dangerous, while 1 ^аЗ (or 1 ^еЗ) £te6 is even less of a threat. The following position is the lon- gest win in the ending of W v 2£k It is the only position requiring 63 moves to win. (440): Black to play draws easily by 1...4ihf7+ 2 Фе8 £>g5, when all his pieces occupy active positions, so we take White to move: 1 Ж11+! (1 Фе8? 2>hg6! and 1 Wh6+? 2>hg6! are not dangerous) Феб 2 1ЙЪЗ+! (White’s first task is to use his tem- porary initiative to prevent Black consolidating with ...£>hg6) Фf6 3 Wb6+! Фf5 (Black tries to keep his king near the centre; З..ФТ7 4 Ж16 £lhg6 5 Фс7 puts Black in zugzwang, 440 and after 5..^g7 6 W'd4 Фf6 7 Фd6! Black is tied up) 4 'BT2+ (4 Wbl+ Феб 5 Wa2+l transposes) Феб 5 Wa2+! Ф£6 6 Шб+! Ф£5 7 W1+! Феб 8 ^63+! (this is why White transferred his queen from f2 to f 1) Фd6 (Black’s king is forced away from the f-file) 9 Фе8! £lhg6 (after 9...2>hf7 10 Wf5 Фс15 11 Фе7! White wins easily) 10 Wb3! (this is a posi- tion of reciprocal zugzwang; Black to move must allow his king to be cut off from the knights) Феб (10...Фс5 11 Ж11! Фс4 12 Ж16 transposes) 11 Wdl! Фс5 12 W'd2! (this is simply a waiting move; White must try to get his king out of the box by Фd8-c7, but the immediate 12 Фd8 is met by 12...Феб and White has to go back) Фс4 13 Ж16! (a second position of reciprocal zugzwang) ФсЗ 14 Ш15! £k4 (Black cannot wait any longer before rescuing his knights; the threat was 15 We4, paralysing the knights, and then White can advance his king) 15 Wf3+! ФЬ4 16 Wb7+! (once again, White must use his tem- porary initiative before Black can
310 Secrets of Pawnless Endings consolidate by means of ...£lge5) ФеЗ 17 Wg7+! and now: 1) 17...2>ge5 18 Фе7! *d3 19 Wg3+ Фе4 20 Феб 5kl3 21 Wg6+ Фd4 22 Wg4+ ФеЗ 23 Wg7+ (once again the dangerous diagonal check) Фd2 24 Фd5 2>e3+ 25 Фе4! Фе2 26 'Hell (another-very tricky move) 5k2 27 We8 (heading for b5 or h5) 2rf2+ 28 Фf4+! Фd2 29 Wd7+ 2kl3+ 30 Фе4! Ski 31 Wd4 Фе2 32 We3+ ФП (32..ФШ 33 Фс15 Ski 34 Wd4+ Фе2 35 Фс4 5kd3 36 ФеЗ 2>f2 37 We5+ ФП 38 Wb5+ Фё2 39 Фd2 2>f3+ 40 ФеЗ! Sk5 41 We2 2>g4+ 42 Фf4 ^h2 43 Wd2 ^g4 44 Wd5+ Фgl 45 ФgЗ and wins) 33 'Hal (other, more obvious, moves do win, but more slowly; the point is to permit a check on the second rank) Фе2 34 Wa2+ Фdl 35 Wh2 Ski 36 Wd6+ Фе2 37 Фd4 Фd2 38 Wd5 (zugzwang) Skd3 39 Wg5+ Фе2 40 We3+ ФП 41 ФеЗ 2rf2 42 Фd2 Skd3 43 We2+ Фgl 44 ФеЗ Фg2 45 Wa2 Фё1 46 Wg8+ ФП 47 Wg3 (zugzwang) 5ihl 48 1Hfh3-t- Фgl 49 W'g4-t- ФЬ2 50 Wh4+ and White can take the knight next move. 2) 17...4ke5 (this survives lon- gest) 18 Фd8! Фd4 (18...Фс4 19 Фс7! is the same) 19 Фс7! Фс5 (19..^d5 20 Wg8+ Фd4 transposes) 20 Wg8! (threatening Wd8, cutting off Black’s king) Фd4 21 Фd6! Sk4+ 22 Феб! 2>f4+ 23 Фf5! Sk5 24 Wg7+ (White can also check on g4, but it leads to the same position) ФdЗ 25 Wg3+! Фd4 26 Wh4+! ФdЗ 27 Wd8! Фd4 28 Феб! Sk3 (during the first 29 moves of the solution, White’s moves were totally unique except for two small transpositional possibilities - chess is truly a diffi- cult game!) 29 Wh4+ Фс5 30 Wf2 Фd4 31 Фd6 Фе4 32 Wei ФdЗ 33 Фе5 Sk3 34 Wg3! (or else ...Sk4+ draws) Фе2 35 Wg6 Фd2 36 Wd6+ Фс2 37 Wc5 Ski 38 Фd4 ФЬЗ (38..Фч12 39 Wg5+ Фс2 40 Wg6+ transposes) 39 Wb6+ Фс2 40 Wg6+ Фd2 41 Wg2+ Sk2+ 42 Фе4! Sk3+ 43 Ф13! ФdЗ 44 Wg6+ Фd2 45 Wd6+ Фе1 46 ФеЗ 5kl+ 47 ФdЗ 2>f2+ 48 Фс2 2>h3 49 Wh2 Stf2 50 Wh8 (with an obvious threat) 5ig4 51 Wh4+ S3f2 52 Wb4+ ФЛ 53 Wb5 Sk4 54 Wf5+ S3f2 55 Фd2 2>g3 56 Wf3 Sk4+ 57 ФеЗ! Фgl 58 We2 Фg2 59 Wei ФgЗ 60 Wgl+ ФЬЗ 61 Фf4 ФЬ4 62 Wh2+ and wins the knight.
13 Other Five-Man Endings In this penultimate chapter, we cover several relatively unimportant endings. The first is W v 2E. Of course, this ending is almost always drawn, but it is un- usual in that both sides have winning chances. The queen is at its best when at least one of the rooks is undefended, giving chances of a fork. If the rooks are very passively placed, then the side with the queen may even be able to launch a direct mating attack. On the other hand, the rooks have chances when they^ can combine for an attack on the enemy king. In the less interesting cases, the rooks give a series of checks leading either to mate or win of the queen. How- ever, there are a few positions in which the rooks create mating threats which paralyse the queen, and then they may be able to win by quietly stepping up the pressure. The next ending is W+H v W. This is normally a win for the queen and rook, but there may be chances of a draw by perpetual check or by sacrificing the queen to force stalemate. Surprisingly, there is even a reciprocal zugzwang. With 'ЦЦ+'ЦЦ v W, the drawing chances are fewer still, but two queens may sometimes be too powerful, giving rise to stalemate possibilities. This ending, and that of W+H v Ж may arise by promotion from ’ЙЧ-Д v Sometimes it is necessary to judge the pawn promotion carefully; it is possible for a second queen to set up a stalemate, and then it may be necessary to choose a rook. Finally, as a bit of light relief, we examine a selection of entertaining and unusual positions with other material balances. 13.1: Queen v Two Rooks 13.2: Queen and Rook v Queen 13.3: Two Queens v Queen 13.4: Odds and Ends 13.1: Queen v Two Rooks We firstly turn our attention to posi- tions in which the queen has winning chances. If there is an undefended rook, then the queen may be able to win material by a series of brutal checks, but such positions are usually easy to calculate. If a quiet move is required, 311 317 319 320 then the situation becomes more complex. (441): Black’s rooks are very pas- sively placed, and this gives White the chance to start a direct attack: 1 Wgl+! (1 Wa2+? *f8! 2 Wa3+ Фе8 3 Wa4+ Фе7 allows the king to es- cape) $f8 (the only move, since 1 ...*f7 2 Wg6+! Фе7 3 We6+! *f8 4 W6+! costs a rook) 2 WcS+J i’gS
312 Secrets of Pawnless Endings 441 +/= Rinck, 1916 =lst Pr., La Strategic (2...ФТ7 3 Wc7+! Фе 8 4 Wc6+! Ed7 5 ^еб-ь wins a rook) 3 ^7! and now: 1) 3..JZd3 4 We8+ *g7 5 We5+! ФЬ7 (5...*g8 6 *g6) 6 We4! Ehd8 (6...Bh3 7 Фйэ+!) 7 *f6+! ФЬ8 8 1ЙГЬ4+ followed by mate. 2) 3...Edl 4 We8+ *g7 5 We5+ ФЬ7 (5...*g8 6 Wg3+ *f8 7 ШЗ+ Фе8 8 Ш8+ Ed8 9 Wc6+! Ed7 10 We6+ wins) 6 Wcl+ i’gS (б...ФЬ6 7 Ш+ ФИ7 8 Wh4+ and 9 Wg4+) 7 Wc4+ Sfcf8 8 Wc8+ *g7 9 Wc3+ ФЬ7 10 Wh3+ and 11 Wg4+. 3) 3...Ea8 4 We6+ *g7 5 W6+ *g8 6 *g6 Eh7 7 Bj6+! *f8 (a neat trap; the alternative 7...ФЬ8 8 We5+! 'i’gS 9 Ж15+! loses a rook) 8 W5+ (not 8 ФхЬ7? Ba7+! 9 ФЬб Bh7+! with perpetual check or stale- mate) Фg8 9 Ж15+! and again the rook falls. Such positions are not always wins, however. If we slightly change the position after White’s 3rd move to АУФГ5,Ш17 v BФg8,Ee8,h8 then Black to play can draw by forcing stalemate: 1...Ф18! 2 Фg6 Ee6+! 3 ®xe6 Bh6+! 4 ФхЪб. 442 Rinck, 1916 La Strategic (442): In this study, the surprise is the position after White’s second move: 1 We7+! (1 We4+? Фё7+! draws) Фg8+ 2 Фg5! (certainly not 2 Фg6? Ec6+! 3 Фg5 Bhh6) Ea8 (2...Ecl 3 We8+ Фё7 4 We5+ Фg8 5 Wb8+ ФЬ7 6 Ш2+ Фg8 7 Wa2+ and now Black cannot move to h7, so the next check wins the rook on cl; note also that 2...Ef8 loses to 3 Фg6! Ef6+ 4 Фх16!) 3 We6+! Фg7 (З...Фf8 4 W6+ is the same) 4 W6+ Фg8 5 Фg6 Eh7 6 'BWh-! transpos- ing to line 3 of the previous diagram. The following position is my fa- vourite W v 2E study. (443): Although both rooks are undefended. White cannot win one of them directly, for example 1 Ж12+? Фс8! 2 Wd7+ ФЬ8 3 Ж16+ Ec7!. The correct approach is 1 Wa8+! Ec8 2 Wa5+! Фе8 (2...Bc7 3 Wd5+!
Other Five-Man Endings 313 443 +/= Khortov, 1978 Shakhmaty v SSSR and 4 Wa8+) 3 We5! Eg8 (Black can’t castle because he has moved his king, З...Ш16+ fails to 4 <S?d5-t-! and 3...Eh7 loses to 4 'A’db+I i’dS 5 Wg5+) 4 Wh5+! (surprisingly, this is a zugzwang position, so White must transfer the move to Black) i’dS 5 'SkaS+J Фе8 (5...Bc7 still loses to 6 1Brd5+!) 6 WeS! Ea8 (there is nothing better, for example 6...Ec6+ 7 Фё5+ *d7 8 W5+! Фс7 9 Wf7+) 7 Wb5+! 4>f8 8 *f6! Eh8 9 Wc5+ *g8 10 Wg5+ followed by mate. Finally, the longest win for the queen in the ending of W v 2E (20 moves): (444): Black is to play, and White wins by 1...Ф<15 (the only move to avoid an immediate fork) 2 Wh5+! and now: 1) 2.„*d4 3 Wh4+! *d5 4 Ж18+! with two lines: la) 4...Фсб 5 Wf6+! and here there is a further branch: lai) 5...ФЬ7 (or5...Фс7) 6Bj7+ Фаб (6...ФЬ8 7 Wd8+ ФЬ7 8 Ж17+ 444 /- transposes) 7 Ж16+ ФЬ7 (7...ФЬ5 8 Wd5+) 8 Wd7+ ФЬ8 (8...Фа6 9 Wc6+) 9 Wb5+ Eb7 (9...Фа8 10 Wc6+ Eb7 11 Wc8+ Фа7 12 Wc5+) 10 We8+! Фс7 11 We5+ Феб 12 Wc3+ ФЬ5 13 Wb3+ Феб (13...Фаб 14 1й,а4+) 14 1B,c4+ followed by 15 Wd4+. 1а2) 5...Фд5 6 W3+ Фd6 7 Wd3+ Фс7 (7...Фсб 8 Wc4+ ФЬ7 9 Wb5+ Фа8 10 Wc6+ Eb7 11 Wc8+) 8 Wc3+! ФЬ7 (8...ФЬ8 9 Wb4+ is the same, since 9...Eb7 fails to 10 W8+ and 11 Wc5+) 9 Wb4+ Фа8 (9...Фаб 10 Wa4+ ФЬ7 11 Wb5+) 10 W8+ ФЬ7 11 Wel+ transposes to line lai. Here is a maximal length line: 11...Фаб 12 Ж16+ ФЬ7 13 Ш17+ ФЬ8 14 Wb5+ Bb7 15 We8+! Фс7 16 We5+ Феб 171йгсЗ+ФЬ5 18 «Ъ3+ Феб 19 Wc4+ and 20 Ж14+ winning the rook.. 1аЗ) 5..,ФЬ5 6 We5+ Феб (or 6...Фаб 7 Ж16+ leading into line lai) 7 We6+ Фс7 8 We7+ ФЬ8 9 Ж18+ is line lai again. lb) 4„.Фс5 5 Wc8+ Ф<15 (5...ФЬ6 61ЙЪ8+ and now 6...Фаб 7 Ж16+ is
314 Secrets of Pawnless endings line lai, while 6...Eb7 7 Ж16+! ФЬ5 8 ШЗ+ Фа5 9 Wa3+ ФЬ5 10 Wb3+ Феб 11 Ж:4+ picks up a rook as above) 6 Wf5+ Феб (6...Фдб 7 1Brd3+ is line la2) 7 We6+ is line la3. 2) 2...Феб 3 W3+! Фдб (the continuation З...Фс7 4‘W7+ ФЬ8 5 Ш8+ ФЬ7 6 We7+ leads to line lai) 4 ШЗ+ is line la2. 3) 2...Феб (2...Фе4 3 We2+ is the same) 3 We2+! Фд5 (З...Фд7 4 Wb5+! and the next check wins a rook) 4 Wb5+ Фе4 5 Ж13+ followed by 6 1B,e3+. 4) 2„.Фс4 3 Bj2+! ФЬ4 (З...Ф<15 is line 3) 4 We4+! ФЬ5 5 Ш5+ Фаб 6 Ж:6+ and 7 Ж:5+. We move on to the case in which the rooks have the winning chances. Sometimes White can win with a se- ries of checks; such positions are generally too simple to merit inclu- sion here, but the following ‘ladder’ study has a certain charm: (445): After 1 Hg2+! Фf8, the king descends the ladder, using his left and right feet alternately (as is normal, I suppose): 2 Фg5+! Фg7 3 Фf4+ (White can waste time by playing 3 Фf5+, but he can’t stay up the ladder forever) Фf6 4 ФgЗ+ Ф^5 5 ФГ2+! Фf4 6 Фgl +! followed by 7 Eel+, winning the queen. White’s problem in the following study is again that of getting his king out of the way of his rooks. 445 +/+ Rinck, 1917 La Strategic 446 +/= Kuriatnikov, 1979 3rd Pr., Shakhmaty v SSSR (446): Although this is an attrac- tive study, it has an unfortunate blemish, as we shall see: 1 0-0-0+! (in problems and studies, castling is always assumed to be legal unless it can be proved illegal, so however unlikely it may appear, White is allowed to start by castling) Фg2 (1...Ф112 2 Ed2+! Фё1 3 Hal! Wg7 4 ФЫ! wins) 2 Hd2+! ФП (2..Ф^1 loses as before) 3 Hal! Фе1 (S—WhS fails to 4 ФЫ! Фе1 5 Ec2 Фdl 6 Eg2 and White’s discovered check
Other Five-Man Endings 315 cannot be prevented) 4 Eg2! (not 4 Ec2? Wb7! defending) ФП (4...Wh8 5 Фс2+ Wxal 6 Bgl+) 5 Ec2! Wb7 (5...Wg7 and 5...Wh8 are both met by 6 ®bl!) 6 Bbl (the composer’s intention, but the blemish is that 6 Eh2 *gl 7 Ee2! Wg7 8 ФЫ! ФП 9 Bc2 works just as well) Wg? 7 Фd2+! ФГ2 (7.^g2 8 ФеЗ+ also loses the queen) 8 Ф<13+! ФГЗ 9 Efl+! followed by 10 Egl+. Quiet moves are always attractive; in the following study, Olmutsky ar- ranges three in a row: 447 Olmutsky, 1967 Comm., Dniepropetrovsk Chess Club (447): White to play wins by 1 Ege5+! Фdl (1...Фё2 2 ФЬ2! only shortens the solution) 2 ФЫ! (con- tinuing to check allows Black’s king out of the net) Фd2 (after 2...Wb8+ 3 Eb5! Black cannot prevent Ebd5+) 3 ФЬ2! ФdЗ 4 ФЬЗ! (now the trap has shut and Black’s king has no escape) Wb8+ 5 Eb5! and White wins by 6 Ebd5+. The play is more complicated when Black is allowed to have a cou- ple of checks, because White usually needs to be very precise with his king moves. 448 +/+ Pogosiants, 1964 Shakhmaty v SSSR (448): White wins by 1 Eh7+! Фd8 2 Ea6! (stopping the check on a4) 'ЙТв-ь 3 ФgЗ! (this is the only square not to allow a check on b4 or c5; White must keep the enemy queen tied to the back rank if he is to have any winning chances) Wg8+ 4 Ф£2! (the same logic again; this is the only square to avoid a check from h7, b3 or c4) Ш15 (Black cannot take the rook because of Ea8+ followed by Ea7+, while 4...Ш+ 5 Фе2! WeS-t- 6 Фd2 stops the checks and wins) 5 Ea8+! WxaS 6 Eh8+ and wins the queen. We end with the longest win for the rooks in the ending of W v 2E (15 moves). During the solution we transpose into a study by Rinck, so he deserves a good deal of credit.
316 Secrets of Pawnless Endings 449 +/= (449): The solution runs 1 Bbb7! The threat is 2 Eh7+ <S?g8 3 Eag7+ *f8 4 Hh8+. 1 ... *g8 l... Wf8+ (l...Wg8 2 Hf7 trans- poses) 2 Ef7! (2 £g2? Wg7+ and the queen escapes, or 2 Фе2? Wg8! 3 Ф12 Wf8+! and Black draws because 4 Ef7 may be met by 4...Wc5+) Wg8 3 4Т2 is the type of position White is aiming for; Black is in zugzwang and must move his queen along the eighth rank, allowing the win with Eh7+ as above. 2 Bg7+! White cannot afford to wait; for example 2 *f2? Wf8+! 3 *g2 We8! and White has no time to improve the position of his rooks because Black’s threats are continuous. Nor can White play 2 Bd7?, because of 2...W8+! drawing as before. 2 ... *f8 3 Bgd7! White must prevent 3...Wb5+, so this move is more or less forced (it is possible now that f8 is blocked by the king). Note that 3 Bgb7? doesn’t just waste time, it actually throws the win away after 3...Wd8! 4 Фе2 We8+! 5 *d2 Wd8+! 6 Фс2 We8 and White has to return. 3 ... *g8 White wins more easily after 3..>c8 4 Ef7+! *g8 5 Eg7+! ФЬ8 6 Bh7+! *g8 7 Bag7+ and 8 Eh8+. 4 Eab7! A very subtle move. Black was threatening to draw by 4...Wf8+! 5 Фе2 (5 Фе1 allows 5...Wb4+) We8+! 6 Ee7 and now Black can check on h5 or b5. The move played not only prevents this draw by covering b4, but also threatens 5 Bg7+ ’ATS 6 Eh7 and there is no check on b5. 4 ... Wf8+ 5 Фе1! White can waste time by 5 Фе2 We 8+ 6 A?d2 Wf8, for example, but sooner or later he must play Фе1. 5 ... ФЬ8 The alternative is 5...We8+ 6 Ee7! Wf8, but then White wins by 7 Фе2 (there are other winning moves) Ф118 (now we are in Rinck’s study) 8 Bbc7! (the purpose of this move is to cover c4 so that White’s king can go to fl when Black’s queen is on g8; 8 Bbd7?, 8 Фе1? and 8 Ba7? are all met by 8...Wg8!) *g8 (8...Wg8 9 *f 1! Wf8+ 10 Ef7 Wg8 11 ФТ2 puts Black in zugzwang) 9 Ea7 (9 Bcd7 is just as good) ФЬ8 10 Ef7 We8+ 11 ФТ2! *g8 (U...Wg8 12 ФП) 12 Bg7+! Ф18 13 Bh7 and wins. 6 Bh7+! *g8 7 Ehe7! White wants to play Bbc7 cover- ing the vital c4-square, as in the above
Other Five-Man endings 317 analysis of 5...'й,е8+, but first of all White must block the f8-b4 diagonal to prevent ...Wb4+. 7 ... ФЬ8 8 Sbc7! Once again this is a key move, covering c4. 8 ... *g8 Or S.-WgS 9 <S?f 1! transposing into the note to Black’s 5th move. 9 Фе2! White has achieved the optimal formation, and now wins by 9...Ф118 10 Sf7 ®e8+ 11 sfcfZ! ®g8 12 ФП ®a8 13 Sh7+! *g814 Scg7+! Ф18 15 Hh8+!. 13.2: Queen and Rook v Queen This is almost invariably a win, and the only interesting exceptions in- volve either perpetual check or stale- mate. 450 =/+ Gurgenidze, 1976 2nd Sp. Pr., Trud (450): White to play draws by 1 a8W Bgl+ 2 ФЬ8! (White can only give perpetual check if he can gain some extra checking squares by us- ing stalemate possibilities) flW 3 Ж15+! (not 3 Wb7+? Феб 4 We4+ Ф^б 5 Wc6+ Фg5 6 #h6+ Ф84 7 Wge-i- ФЬЗ and Black’s king will hide on h2) Фс7 (there is no point going the other way, because З...Фе7 4 Bj5+! Ф47 5 W5+! forces Black back again) 4 Ж:5+! (4 We5+1 Феб! 5 We6+ Фс5! 6 We5+ Фс4! 7 We4+ ФсЗ! 8 We3+ Фс2! 9 Bj4+ Фd2 and the king makes it across to h2) ФЬ7 5 Wd5+! (5 We7+? Феб! loses as above; White must keep the black king on the b-file) ФЬб 6 Ж16+! ФЬ5 7 Wd5+! ФЬ4 8 Ж14+! ФЬЗ 9 Ж13+! (White uses stalemate for the second time) ФЬ2 10Ж12+! ФЫ 11 Ж13+! (third) Фс1 12 Wc3+! Фdl 13 Wd3+! (fourth) Фе1 14 We3+! and Black can go all the way back again. There is a unique position of re- ciprocal zugzwang in the ending of W+H v W. It arises in the following study: (451): The solution to this excel- lent study runs 1 a7! Hb4+ (L.-elW 2 a8W+ Фd4 3 Ж18+ draws) 2 ФаЗ! (2 Фа5? elt 3 а8Ш Фс4 4 Wc6+ ФdЗ! 5 !ЙТЗ+ Фс2! wins, but not 4...ФЬЗ? 5 ^еб-ь! forcing stalemate) el® 3 a8®+ Фd4 (З...Фс4 4 ®сб+ ФdЗ 5 ®f3+! Фс2 6 ®g2+! trans- poses into line 2 below, while З...Фс5 4 ®f8+ Фс4 5 Ш+ is an immediate draw) 4 ®h8+! (4 ®d8-t? ФеЗ 5 ®c7+ ФdЗ! 6 Wh7+ Se4! wins) and now: 1) 4...ФеЗ 51ЪЗ+! Ф44 61Ъ2+! Фg4 (6...Фе4 7 Wh7+, б...Ф^5 7
318 Secrets of pawnless Endings 451 =/+ Tarasiuk, 1990 Shakhmatnoe Obozrenie Wh7+ and 6...Ф*3 7 Wh3+! do not make progress, while 6...Ф^5 7 Ж12+! is an instant draw) 7 1Brg2+! ФЬ5 8 Wd5+! ФЬ4 9 fd8+! *g4 10 Wd7+! *g3 11 Wd3+! ФТ2 12 Ж12+! and White forces stalemate. 2) 4...*d3 5 Wh3+! Фс2 6 Wg2+! (6 Wh2+? ФЫ 7 Wh7+ Ee4 8 Wb7+ Фс2 and Black’s king escapes to the kingside) ФЫ 7 WfB! reaching the position of reciprocal zugzwang, and now 7...Ee4 (7...Bd4 8 1ЙЪЗ+! Фс1 9 1ЙЪ2+! loses the rook, 7...Фа1 8 W6+! ФЫ 9 Wal-b is stalemate, 7..>d2 8 W1+ Фс2 9 W5+! leads to perpetual check or stalemate, and 7...Eb8 is met by 8 Ш1+) 8 Ж11+! Wxdl stalemate. But if White were to move after 7 W3! then he would lose, e.g. 1 Ж:6 Ee4 2 Wb5+ Фс2 or 1 Wf5+ Be4! 2 1ЙЪ5+ Фс2 and the king slips away, or 1Ж13+ Фа1 and there is no check. В+П v W may arise from quite ordinary positions through under- promotion: 452 +/- Roycmft, 1957 (452): We can imagine this arising from a lengthy over-the-board strug- gle. White can force the promotion of his pawn by 1 1ЙЪ8+, but after 1...Фа1 which piece should he pro- mote to? 1) 2 g8W? Wc6+ 3 Wb5 (other- wise Black has no trouble sacrificing his queen) 1B,c2+! 4 WgbS (4 Фа5 Wc7+! 5 Wb6 Wc3+! draws after 6 Фаб Wc4+! or 6 ФЬ5 Wb3+!) Wc4+! 5 W3b4 (or 5 Фа5 Wxb3) Wa2+! 6 Wa3 Wxa3+ 7 ФхаЗ stalemate. 2) 2g8H (Black has no perpetual check) and now: 2a) 2...1йгс2+ 3 Wb3 looks as if it should lead to stalemate, but in fact White wins after 3...'B,e4+ 4 1ib4! Wc6+ 5 Wb5 Wc2+ 6 Фа5 Wc3+ (6..>c7+ 7 Фаб Ж16+ 8 Фа7 Bj7+ 9 Wb7 ^еЗ-ь 10 Фа8 wins) 7 Фаб W6+ 8 Wb6 W1+ 9 Фа5 Wf5+ (9..>el+ 10 Wb4 We5+ 11 Фа4) 10 Wb5 wins. 2b) 2...®a2+ 3 ФЬ4 Wb2+ (or З...Ж12+ 4 Фс4 Wc2+ transposing) 4 Фс4 Wc2+ 5 Фd4 Wd2+ 6 Фе4
Other Five-Man Endings 319 We2+ 7 *f4 Ж2+ 8 *g4 Wg2+ (8...'й,е2+ 9 ФЬЗ is similar) 9 Wg3 We4+ 10 ФЬЗ Whl+ 11 Wh2 ШЗ+ 12 Bg3 Wh5+ 13 Фg2 Ш5+ 14 Ef3 Ж12+ 15 ФЫ and wins. Here is the longest win in the end- ing of W+B v W (60 moves!): 453 +/- (453): Black is to move: l.-.^aS-t- (l..>d5+ 2 Bb7) 2 ФЬ7 Wb5+ 3 Фс7! Wc5+ 4 Фd7! Ш5+ 5 Фе7! Wc5+ 6 Феб! Wc6+ 7 Фе5! Wc5+ 8 Фе4 Wc2+ 9 Фd4 Ж12+ (9..>f2+ 10 Фс4 We2+ transposes) 10 Фс4 We2+ 11 ФЬ4 Wd2+ 12 ФаЗ (12 Wc3? Ш6+) Wd3+ 13 Фа4 (13 ЕЬЗ?Шб+! 14 ФЬ2 We2+! really is a draw after 15 ФсЗ We3+ or 15 ФЫ ffel+ 16 Фа2 Wa5+! 17 ЕаЗ Ж15+!) Wa6+ (13..>c4+ 14 Bb4 Wa2+ 15 ФЬ5 Ж15+ 16 Фаб ШЗ+ 17 Фа5 Ш15+ 18 Bb5 transposes to the main line) 14 ФЬ4 td6+ 15 ФсЗ Wg3+ 16 ФЬ2 1Brf2+ (Black is forced to give this more distant check) 17 ФЬЗ Wf7+ 18 ФсЗ Wf3+ 19 ФЬ4 (com- pared to the situation at move 11, Black has no check on d2) W4+ 20 Фа5 Ж12+ 21 Bb4 Ж15+ (or 21..>a2+ 22 ФЬб We6+ 23 Фс5 We7+ 24 Фс4 W7+ 25 ФсЗ W3+ 26 ФЬ2 W2+ 27 ФЬЗ W7+ 28 Bc4 1Ъ7+ 29 ФсЗ W3+ 30 ФЬ2 We2+ 31 ФЬЗ Wdl+ 32 ФЬ4 Ж16+ 33 ФсЗ Wg3+ 34 ФЬ2 1Т2+ 35 ФЬЗ Wb6+ 36 ВЬ4 Шб+ 37 ФсЗ We3+ 38 Фс4 We6+ 39 ФdЗ W5+ 40 ФеЗ Wg5+ 41 ФТЗ Ш5+ 42 Фё3 Ж16+ 43 Bf4! Ж13+ 44 ФЬ4 and the checks are finished) 22 Eb5 Wa2+ 23 ФЬб We6+ 24 Фа7 Bj7+ 25 Bb7 Wa3+ 26 ФЬ8 Ж16+ 27 Ec7 Wb6+ 28 Фс8 Wa6+ 29 Фd7 Wd3+ 30 Феб Wc4+ 31 Фd6 Wd3+ 32 Фс5 Wa3+ 33 Феб Ж6+ 34 Фс15 Wb5+ 35 Фd4 Wb6+ 36 Bc5! Ж16+ 37 Ed5 Wb4+ 38 Фе5! (38 ФdЗ? Wbl+! is a draw) We7+ 39 Ф14! Wf7+ 40 Фе4! W5+ (just checking that the reader isn’t asleep by this stage) 41 Фd4! Ш+ 42 ФсЗ Wc7+ 43 ФdЗ Wg3+ 44 Фс4 Wc7+ 45 Ec5 W7+ 46 ФЬ4 Wb7+ 47 Bb5 We7+ 48 Фа4 W7+ 49 ФЬЗ W7+ 50 ФсЗ W3+ 51 ФЬ4 Ш+ 52 Фа5 Ш2+ 53 Фаб Ш2+ 54 ФЬ7<П+ 55 ФЬ8 Ш+ 56 We5 W8+ 57 Фс7 W7+ 58 Фd8 Wg8+ 59 We8+ ФЬб 60 ЕЬ6+ and White can take the queen next move. This position also provides an af- firmative answer to the question (posed by Mestel) ‘is it possible to give a series of checks from which escape is possible, but requires more than 50 moves?’. 13.3: Two Queens v Queen The basic themes of stalemate and perpetual check are repeated here,
320 Secrets of Pawnless Endings and it is not necessary to give further examples. However, I would like to give one illustration of how а v W position can arise from a very natural W+A v W situation. 454 =/+ Kordnyi, 1980 (version by Num) 4th Pr., Tungsram Tny. (454): It turns out that White can- not prevent Black promoting his pawn, but he can arrange that the re- sulting position is a draw: 1 Wc3+! ФЬ2 2 Wh8+! *g2 3 Bt8+! (after 3 Wg7+? ФЫ! 4 Wb7+ Wg2! the pawn promotes under more favourable cir- cumstances) ФП (З...ФГ2 4 Wa7+ ФП 5 W1+ transposes) 4 Wal-b! (4 ^аб? 'B,f2+ 5 Фе5 ^еЗ-ь wins after 6 Фс15 Ф12 7 Wa2 ФgЗ or 6 Фf5 Фgl 7 Wg6+ Ф12) elW 5 Wa6+! ФГ2 (Black cannot avoid perpetual check, e.g. 5..^g2 6 Ж:6+ ФЬЗ 7 Wd7+ ФЬ2 8 Wh7+! or 5..>e2 6 Wal-ь! Фg2 7 Wa8+!) 6 Wa2+! (6 Wb6+? Фе2! 7 Wb5+ Фd2 8 Wb2+ ФdЗ 9 Wb5+ ФеЗ 10 Wa5+ ФЬ2 11 Wb5+ ФаЗ 12 ШЗ+ ФЬ4 and the fun’s over) We2 7 Wa7+! and so on. And here’s the longest win in W-bW v igjf (23 moves): 455 +/ (455): 1 Фdl! Wf 1 -ь 2 Фd2 W2+ 3 ФdЗ! W3+ 4 Фd4! Wc3+ 5 Фе4 Wel+ 6 ФГ5 Wfl+ 7 Фg6 (heading for g8...) Ж13+ (...which Black tries to prevent) 8 i’gS W'g34- 9 Фf5 Ж13+ 10 Фе5 Bj2+ 11 Фf6 W3+ 12 Феб Wc6+ 13 Фе5 Wb5+ 14 Фd4 Wb4+ 15 ФdЗ Wc4+ 16 ФеЗ Wcl+17 Ф12 Ш2+ 18 Фё3 We3+19 ФЬ2 W2+ 20 Wg2 (end of checks) Wc5 21 Wgb2+ Фс4 22 Wbc3+ and wins. 13.4: Odds and Ends We end with some light relief: a col- lection of entertaining positions in- volving unusual material balances. (456): This is the longest win with 22 v 2 (25 moves). It isn’t easy to judge whether or not the king can es- cape the checks in such ‘rampant rook’ positions, but in the case of 22 v 2, escape is normally possible. The exceptions are if there is an
Other Five-Man Endings 321 456 +/ 457 +/= immediate forced draw (for example with WiM v BEh2) or if the king is confined to the edge of the board (e.g. Widl v BBd2). Here White wins by 1 id2 Bd3+ (l...Bc2+ 2 ФдЗ Bc3+ 3 Фе4 Be3+ 4 Ф15 Be5+ 5 Sfcg4 finishes the checks) 2 Фе2 Be3+ 3 ФТ2 Bf3+ 4 *g2 Bf2+ 5 ФЫ! (White is unable to win with- out visiting hl, which forces Black’s rook to start checking from behind the king) Hh2+6Фgl!Hhl+7Фf2! Efl+ 8 ФеЗ Bf3+ (8...Bel+ 9 *f4 Bfl+ 10 Фg5 Bf5+ 11 Фg4) 9 Фd4 Bf4+ 10 Фс5 Bf5+ 11 ФЬб Bf6+ 12 Фс7 Bc6+ 13 Фd8 Bc8+ 14 Фd7 Bd8+ 15 Феб Ed6+ 16 Фf5 Ef6+ (16...Bd5+ 17 Фg4 is the same) 17 <4)g4 (end of checks) Bfl 18 Ea4+ ФЬ8 19Фh5Ehl+20Фg6Bgl+21 ФЬ7 Bhl+ 22 Фg8 Bel 23 Bf4 and wins. It is curious that the winning pro- cess involves visiting both the first and eighth ranks. The longest win with В v JL+Ф is only 13 moves, but what it lacks in length, it makes up for in difficulty: (457): The solution runs 1 Bb6! (not 1 Bb8+? Фа7 2 Фхс7 Фаб!, nor 1 ВаЗ? £>аб 2 Вха4 Фа7) £1Ь5 (the knight has to move, because 2 Фхс7 is a threat - see diagram 43) 2 Ba6+! £1а7+ 3 Фс7! Ae8 (the bishop must stay on the a4-e8 diagonal in order to meet 4 Bb6 by 4,..£)b5+ or 4...£te6, but 3...JLb5 4 Bb6! £lc6 5 Bxb5! is lost, while both 3...JLd7 and 3...JLc6 are met by 4 ФЬб! ФЬ8 5 Bxa7 fol- lowed by Bc7, winning; it follows that with Ba6 v Фе8, Black to play would lose instantly) and now: 1) 4 Bal? JLg6! 5 ФЬб (White cannot play Bbl, so this is the only chance) ФЬ8! 6 Bxa7 Фс8! and the king escapes. 2) 4 Ba2? JLa4! (this is aposition of reciprocal zugzwang; here White is to play, so it is a draw) 5 Bal (5 Ed2 £te6! 6 Ba2 £)a7! makes no progress, while 5 Bf2 5)b5+! 6 ФЬб 2kl6! 7 Ba2 ФЬ8 8 Bxa4 2>c8+! leads to chapter 1) 5)b5+! 6 ФЬб £te3! 7 Bel (the point is that White cannot go to dl, so he cannot prevent ...£id5+) £id5+! draws.
322 Secrets of Pawn less Endings 3) 4 ЕаЗ! (a really tough move to find) JLa4 (after 4... Ah5 5 Eb3! 2k8 6 Eg3! Black has no reasonable move, for example 6...£la7 7 Eg8+ &c8 8 Exc8+ Фа7 9 Eh8, followed by Eh6, or 6...Ле8 7 Фхс8 Фа7 8 ЕеЗ Ah5 9 Фс7 Фаб 10 Ее6+ and the king is forced back into the cor- ner) 5 Ea2! (now Black is in recipro- cal zugzwang) and now: 3a) 5..JLb3 6 Eb2! 2>b5+ 7 ФЬб! £k!4 (7...JLa4 and 7...JLc4 are both met by 8 Ed2) 8 Eh2 £k6 9 Eh8+! 2>b8 10 Фс7 Фа7 11 Exb8, followed by Eb6. 3b) 5...2Л5+ 6 ФЬб! 2k3 7 Ed2! wins. 3c) 5...JLe8 6 Ea6 and Black, who is in zugzwang, loses as in the note to Black’s 3rd move. 3d) 5...Adl 6 Eb2! (not 6 Ef2? JLg4! throwing the win away, while after 6 Eg2 £k6 White loses time) £k8 7 Eg2! (not 7 Фхс8? Фа7! drawing, while after 7 Ef2? or 7 Eh2? Black draws by 7...JLg4!; the move played threatens 8 Фхс8 Фа7 9 Eg6!, followed by Фс7, winning as in diagram 43) JLf3 (7...&a7 8 Eg8+ £k8 9 Фхс8 still wins) 8 Eg3 (hith- erto White’s moves have all been unique, but at this point he has a choice because 8 Egl also wins) JLe4 (8...±b7 9 Ea3+! 2>a7 10 ФЬб wins) 9 Eg5! (9 Ea3+? 2>a7 10 ФЬб ФЬ8! draws, as does 9 Egl? JLf5!) JLbl (Black has no safe square for his bishop; after 9...JLc2 10 Ea5+ 2>a7 11 ФЬб ФЬ8 12 Exa7! Black cannot play 12...Фс8, while if the bishop moves off the bl-h7 diagonal, then White wins by 10 Фхс8 Фа7 11 Eg6) 10 Ea5+ 2>a7 11 Eh5! (11 ФЬб? ФЬ8! 12 Exa7 Фс8! is a draw, as are 11 Ee5? JLg6! and 11 Ed5? £k6!) JLc2 (or anywhere else) 12 Eh8+ 2k8 13 Фхс8! Фа7 14 Eh6 followed by Фс7, with the standard win of diagram 43. The following position is a curios- ity, but it also makes a nice puzzle. It is the longest win with E v 2JL (9 moves). 458 +/= (458): Positions with two bishops of the same colour don’t normally arise in practical play, but neverthe- less this position is a good test of your analytical ability. 1 Фс7! JLd5 2 Eg4! (not 2 Eg3?, which leads to a draw after 2...JLgf3 3 Egl JLa2 4 Eg3 JLad5) Асб (after 2...jLge4, White wins more quickly by 3 Egl! JLa2 4 Eg3!) 3 Eg3! JLdf3 (after 3...JLgf3 White wins by 4 Egl! Ла4 5 Eg5 !, a line which is similar to the previous note) 4 ФЬб! JLd5 5 ЕеЗ! JLc6 and now both 6 Ed3 fol- lowed by 7 Фс7 and 6 Фс7 JLa4 7 Ee5! lead to a win.
14 Six-Man Endings Since the first edition of this book was published in 1994, the frontiers of end- game database research have been pushed outwards. The most significant de- velopment has been the construction of a number of six-man databases. While several researchers have worked in this area (Eugene Nalimov deserves spe- cial mention, with Peter Karrer, Lars Rasmussen, John Tamplin and Christoph Wirth also having contributed), Ken Thompson was once again at the fore- front of progress. Owing to the enormous size of six-man databases, they can- not easily be distributed, but Ken Thompson provided access to them via the Internet. Virtually all the information contained in this chapter was derived by Internet access to Ken’s databases. Recently Ken has left Bell Laboratories, where he was pursuing his chess research (amongst many other activities), but other workers are carrying on and there will undoubtedly be further develop- ments in years to come. The major pawnless six-man databases all exist, but extracting useful data from them has scarcely begun. The five-man endgames considered in this book were examined in consid- erable detail, but such an exhaustive treatment is not possible in the case of six-man databases. Not only are many six-man endgames far more complex than any five-man endgame, but the number of permutations of six pieces greatly exceeds that of five pieces, so there are far more endgames to consider. Therefore, I have found it necessary to be selective. The bare information for the new databases is presented in a large table, and I will then consider in more detail the endgames of most interest for over-the-board play. These are: 14.1: Rook and Minor Piece v Two Minor Pieces 330 14.2: Two Rooks v Rook and Minor Piece 357 14.3: Rook and Two Minor Pieces v Queen 359 14.4: Queen and Minor Piece v Two Rooks 367 14.5: Queen and Rook v Queen and Minor Piece 377 14.6: Queen and Rook v Queen and Rook 379 14.7: Two Queens v Queen and Rook 382 14.8: Two Queens v Two Queens 384 The following table contains a great deal of information, but readers are ad- vised to read the following notes before looking at it: 1) As is the case throughout the book, the number of moves given to a ‘win’ is based on a ‘win’ being defined as either mate or reduction to a win- ning ending with fewer pieces by means of a capture (whichever is shorter).
324 Secrets of Pawnless Endings 2) If there is more than one bishop in the position, we need to distinguish between various cases: 2a) If there are two bishops on the board (which may or may not belong to the same side): ‘Opp’ means opposite-coloured bishops. ‘Same’ means same-coloured bishops. 2b) If there are three bishops on the board, two on one side and one on the other: ‘Opp’ means that the side with the two bishops has a light-squared bishop and a dark-squared bishop. ‘Same’ means that the side with the two bishops has both moving on the same-coloured squares, and the opponent’s bishop moves on opposite- coloured squares. ‘All’ means all three bishops move on the same-coloured squares. 2c) If there are three bishops on the board, all belonging to the same side, we assume that not all the bishops move on the same-coloured squares. The only exception to this is queen v three bishops, where both the possible cases are considered. 2d) There is only one case with four bishops on the board (three bishops v one bishop). Here we assume that the three bishops do not all move on the same-coloured squares. In fact there are two cases here, depending on whether the black bishop moves on the same-coloured squares as the oppo- nent’s bishop-pair, but the Ken Thompson data does not distinguish between these cases. 3) Note that White is always assumed to be playing for a win, and the data only distinguish between White winning and White not winning. Thus for some endings there are two entries for a particular material balance. For ex- ample, the entry gives the longest win when the side with the queen and rook wins, while the entry WJL-WH gives the longest win in the case where the queen and bishop win. 4) The entry under ‘General Result’ is not part of the Ken Thompson data and is entirely my responsibility. I derived this result not by looking at statis- tics for winning percentages, which can be very misleading, but by personally examining the endings concerned. As an example of the interpretation of data in the table, here is a typical entry: W*c7,£fo8,a2,hl ВФЬ4,^7 (В,86) W*d6,2)h8,g3,hl B*f4,21e5 (78) Win This means that the position Wi’c7,£lb8,a2,hl; ВФЬ4,£«7 with Black to move is the longest win with this material, and that it takes 86 moves for
Six-Man endgames 325 White to win (i.e. mate or reduce to a winning simpler ending) with optimal play by both sides. The position W&d6,€)h8,g3,lil; ВФГ4,4^е5 is the longest reciprocal zugzwang with this material. This means that with White to play the position is a draw and with Black to play the position is a win for White (in 78 moves). The general result of the ending is a win for White. The entries in the table are ordered lexicographically, with the individual symbols ordered by the familiar hierarchy of material values: £><JL<E<W. Material Longest win Longest reciprocal zugzwang General Result Wi>c7,2>g8,c5 B*a8,2>b8,hl (W,7) W*d8,2>h6,g5 B*f8,2>g7,f6 (1) Draw W*c7,£>b8,a2,h 1 B*b4,2>e7 (В,86) W*d6,2)h8,g3,hl B*f4,21e5 (78) Win W*a8,2>h8,b6,hl B*c7,JLgl (W,92) W*a8,2>f6,e3,bl ВФсбДЬ4 (66) Win ?^-E W*d7,?k8,f7,c4 B*b7,Ef4 (W,12) W*c8,2kl7,c4,d4 ВФа6,ЕЬ5 (5) Draw W<£>c7,£>a3,i.c4 B<£>a7,£ih8,a4 (W,13) W*c7,5)e5,JLc4 B*a8,2>h8,c3 (8) Draw W*a8,2kl6,hl„£c8 B*d8,2>b3 (B,27) W*a8,2>h8,e6„£g8 B*f6,£k6 (22) Win Same W*a8,£g4,al,±h3 ВФе4ДЬ7 (В,38) W*a8,^b8,g3,Jlh2 B*c7,JLd6 (27) Win Opp W*b8,2kl3,fl„£cl B<4>d6,i.e8 (B,32) W*b8,2>b7,hl„£a8 B*d7,JLb6 (25) Win £^-E W*d6,?k6,e5,JLdl ВФа8,ЕсЗ (W,49) W<£>d6,£>a6,e5,i.d3 ВФс8,Еа7 (37) Draw Opp W*d5,JLf4,h3 B*c7,2>a8,h8 (B,38) W*d6,JLd4,e4 B*b8,2>a6,g4 (25) Draw Same W*c8,&cl,±b7,a6 B<£>a5,£if4(B,31) W*a8,^a7,JLa2,bl B*c7,£k3 (26) Win Opp Wi’c8,£lh8jLb5,f2 B*g8,2>g5 (B,13) None Win All W*b8,^k4,Jlh4,a3 B*e5,JLd8 (B,36) W*d6,^hl,JLf2,gl Bi>f3,i.a5 (24) Win Same W*a8,^h6,JLe8,c6 B<4>h8,i.g7 (W,21) W<4>d7,^d5,i.d6,h4 B*f5,JLh7 (6) Draw
326 Secrets of Pawnless Endings ДД&-Д Opp W*a8,£>g2^a5,hl ВФд6,Да2 (В,29) ХУФс8,2>Ь7,Да8,Ь8 ВФЬ6,Да6(18) Win дд^-в Same W*c6,£ld5jLc8,g2 ВФа8Де5 (W,66) У/Фс7,&а6,ДП,с4 ВФа8,Ее5 (54) Draw ДД&-Е opp W*a8,£>al^h6,g2 B*d7,Eb7 (В,68) ХУФа8,2)Ь4,Да7,ГЗ ВФс7,ЕЬЗ (54) Win ДДМ Same W*c7,£e5jlf3,g2 B*a6>e3 (W,7) None Draw Opp W*c7,2>g8,Ac4,c3 B*a8>dl (W,12) W*d6,2>h5^c5,d5 B*f8,Wb5 (4) Draw ДДД-& W*d6^c8Ji6,h3 B*f7,2>g5 (B,12) None Win 3l3l3l-3l У/ФЬ7,ДЬ8Д7,Ь7 ВФ<15,ДГЗ (В,20) None Win if Black’s bishop is on the same colour as White’s pair of bishops; otherwise draw. ДДД-В W<4>a8^g8,h7,gl B<£>h6,Eg4 (W,69) W*b7^g8,h7,d2 B*h8,Ec5 (61) Win E&-&& W*c7,2>b8,Bb7 B*gl,2>f6,f2 (W.243) W*d5,£k8,Ee6 B*g7,2>g4,h4 (226) Draw (see p.330) Е&-Д& W*c8,2>al,Bcl ВФГ8,2>аЗ,ДЫ (W,190) W*d8,2)li3,Be6 ВФГ8,£>с4,Да2 (180) Draw (see p.338) В^-ДД Same W<£>a8,£ih4,Bh2 ВФе4,ДЬ8,еЗ (В, 140) W*a8,^h7,Bd7 ВФГ5,ДЬ8Д6 (133) Win В4УДД Opp W*f5,?k5,Bh2 B*cl,Ael,g8 (W,52) W*d6,2>a4,Bg4 ВФЬ7,Да2Д2 (42) Draw (see p.341) B&-B& W*c6,2kl3,Bg2 B*b8,&hl,Ba4 (W,21) W*c6,^d6,Bg3 ВФа8,?к11,ВЬ4 (11) Draw В^-ВД Wi>a8,2>h7,Bd7 ВФЬ8,ДЬ2,Ве1 (W,14) W*c6,S)d7,Ea7 ВФс8,Де5,ВЬ8 (5) Draw B&&-W W*c7,£>b3,a2,Eh2 ВФаб.ЖН (W,28) W*c7,^d4,d3,Bd2 ВФа1,1Ы (14) Draw (see p.359) ВД-2& W*b8,Af7,Bg7 B*f5,5k5,c6 (W,223) ХУФа8,ДЬ8,Ве7 ВФс6,2>Ь5,с5 (213) Win (see p.342) ВД-Д& Same W*d5^d3,Bb7 B*d7,£te2,Afl (B,64) W*d8,Ag5,Ee7 B*f8,2>c5,Ag7 (50) Draw (see p.345)
Six-Man Endgames 327 Opp W<4>a8,i.al,Bb6 ВФс17,<£е7ДЬ1 (В,98) W*a8,Jlc5,Ed2 B*c7,?)e5,JLd3 (79) Win (see p.348) Same ХУФЬ8Де8,ДЬ5 ВФа1 ДЬ8,с5 (В,83) W*c6,JLa5,Bc3 B*c8,±f7,c4 (73) Draw Opp W*d6,JLh2,Be2 B*hl,JLg6,h6 (W,75) W*d8,JLd4,Bb2 ВФЫ ,JLd6,a4 (68) Draw (see p.354) All W<£>b8,i.b4,Bg6 ВФЬ8 ,JLf6,h4 (W,49) W*d5,Jlh4,Eg2 B*d7,JLd4,e3 (36) Draw НД-Е& W*d5,JLg3,Bd7 B*hl,S)a8,Bh2 (W,21) ХУФс8Дс7,ЕсЗ B*a8,2>el,Eb7(13) Draw ЕД-ЕД Same W<4>d6,i.el,Bf8 ВФа7ДЬ8,ЕЬ5 (W,12) W*c6,Jlc5,Ef7 ВФа8ДсЗ,ЕЫ (7) Draw ЕД-ЕД Opp W<4>d8,i.d2,Bg2 B*a8,JLg4,Edl (W,17) W*c7,JLb4,Eb7 B*a8,±a4,Eb3 (5) Draw W*d6,^)b4,JLel,Bal B*b8>g8 (W,99) W*c8,5)e4,JLd5,Bfl ВФе8>е5 (92) Draw (see p.36O) ЕДЛ-Е Same W*a8,JLg6,f3,Be4 ВФс7,ЕсЗ (W,36) W*d7,JLf7,e4,Ee7 B*f8,flb5 (18) Win ЕДЛ-Е Opp W*d8,Jlh8,h3,Bh2 B*f2,Ef3 (B,27) W*d8,Jlg3,h3,Bh2 B*gl,Eh7(15) Win ЕДА-W Same W<£>d6,i.e3,f4,Bc6 B*a7>el (B,15) W*c6,Jlg4,f3,Bd7 B*c8>g3 (7) Draw ЕДЛ-W Opp W<4>c8,i.f6,e2,Be5 В*а6>аЗ (В,44) W*c7,JLd8,c6,Ee7 ВФа7,#Ь6 (36) Draw (see p.366) EB-^ W*d7,Bf7,e3 B*e5,S)h6,f2 (B,33) W*d8,Ec3,e3 B*d4,2>d6,el (22) Win EB-iA W<4>c7,Bg7,c3 B*bl,2>e8,.£c5 (W,26) W*a8,Ee7,g7 B*f6,2>a6,le8 (17) Win Efi-JLi. Same W*a8,Bg3,c7 B*d5,JLgl,e3 (B,26) W*d8,Ef8,g7 B*e6,JLf7,g6 (21) Win EE-JLi. Opp W*a8,Bh8,e5 B*f7,±e3,a2 (В,37) W*d8,Ea7,a5 ВФЬбДс5,е2 (18) Win И-В& W<4>c8,Bd7,e7 B*a7,2>g4,Eal (B,73) W*c7,Ec4,cl Bi>d3,2>al,Eh6 (50) Draw (see p.357) ЕВ-ВД W*c7,Eh5,fl B*b5,Jla8,Ed8 (B,54) W*d5,Ef5,fl B*h8,Jlg3,Eh2 (41) Draw (see p.358) EE-Efi W*d5,Ec7,d7 B*e8,Eg8,b5 (W,18) W*c8,Ed8,b2 B*el,Efl,hl (6) Draw
328 Secrets of Pawnless Endings EE&-W W*c8,2>hl,Eh3,fl B*h7>e4 (B.101) W*c8,2>al,Ee5,f5 B*a6,Wb6 (86) Win EEA-W W*c8,Jlh2,Bb8,b7 ВФа4,«Ъ5 (В,82) W*c7,Jlb8,Ec8,bl B*a4>e3 (56) Win CHH-W W*d8,Eh4,bl,gl B*f7,Wb3 (В,65) W*d8,Eb8,h8,c7 B*g6>e6 (17) Win t-m W*d6>c8 B*f6,2>a8,c7,h2 (В,35) W<4>c7,Wb4 B*e8,2>f7,b3,cl (25) Draw W*d7>cl B*c3,^g8,h7,Jlg7 (B.49) W*d6>h4 B*f5,2>b8,c6,.£a6 (37) Draw Same W*a8>cl B*d7,^fl,Jla6,g2 (W,63) W*d8>fl B*h2,^k8,Jlh5,g4 (59) Draw Opp W*b8>f3 В*е5,£к18Да2,Ь2 (B.51) W*c8>g6 B*b6,?k6,JLg8,g7 (46) Draw Opp W*a8>h5 BSi?h2,Af8,f5,c4 (B,39) W*d5>g4 Bi>f7,Af8,h6,b5 (35) Draw All W*b8>a8 ВФс6,Ла5,Ь4,а1 (В,51) W*d8>c4 B*f5,Jlh5,g4,h3 (38) Win, but there is a fortress with Black’s king in a comer controlled by the bishops. W&-E& W*c8,2)hl>a8 Bi>d6,2>f8,Eb6 (B,40) W*d8,^g2>fl B*g3,^f3,Ee4 (20) Win «Ш W*d7,&a8>g4 B*b7,Ad5,Ea2 (B,26) W*c8,2>bl>dl B*d6,JLd5,Eb3 (18) Win W^-EE W'4>d7,^g8,1iib8 B*a3,Eal,gl (B.153) W*d6,^k2>g8 B*f6,Hf5,e4 (137) Draw (see p.372) W*d5,£fo7>e4 B*d8,2>h8>e8 (B,29) W*c8,^d7>c2 ВФа8,^Ь2,1Ы (11) Draw W*c7,£k6>a7 B*a6,Ag6,1irh8 (B,32) W*d5,^f5,Wh7 B*e8,JLd2>el (15) Draw Wi-WE W*d5,£rf2>g2 B*f6,Ea2,Wh8 (W,27) W*c8,^k6>e5 B*a8,Eb2>d2 (3) Draw W*d8,£kl,fl>g8 B*e6>a6 (В,72) W*b7,2>g3,hl>a8 B*d5>e5 (57) Win
Six-Man Endgames 329 W±-E& W*b8,Ad4>g8 B*d6,£id5,Ea3 (В,27) W*a8,±c8,Wb7 B*d6,£)c6,Bd8 (15) Win «Л-ВД Same W<£>a8,i.f8,Wb7 B*f4,Ad4,flf2 (B,22) W*d6,JLa6>a3 ВФЬ6,ДЬ7,Еа8 (10) Win «Д-ВД Opp W*d7,JLhl>c8 В<£Т6,Де5,ЕП (W,42) W*a8,JLa7>e7 B*c6,JLg2,Eb5 (12) Win «д-вв W*c7,±f3>g2 B*f6,Bd7,dl (W,85) W*c8,±e7>c7 B*e6,Ed5,d4 (70) Win (see p.367) W*d6,JLh5>c7 B*f7,2>bl>al (B,36) Note: Illegal position W*d6,JLc7>c5 ВФс8,£Ы>Ь7 (10) Draw ®Д-®Д Same W<£>d8,i.cl,Wh5 B*d6^h2>hl (W,46) W*c7,±e8>f4 B*d5,JLc4>b3 (4) Draw ®Д-®Д Opp W*d8,±cl>e2 B<£>a5,i.g4,Whl (W,30) W*c6,±c4>g4 B*d8,JLg5>d2 (7) Draw ^Д-^В W*d5,JLd2>c5 B*h7,Eb2>al (W,32) W*c6,Jld4>c4 B*c8,Ef8>a3 (4) Draw WB-ВД W<4>a8,Bhl>g8 В*Ь6,ДЬ5,ВЬ6 (B,21) W*c6,Ea2,Wc2 ВФЬ8,АаЗ,Ес1 (1) Win Wg-ДН W*c8,Bg8>g5 ВФа7,ВЬ7,а1 (В,34) W*b8,Ec8>a8 B*b3,Ed4,e3 (11) Win WE-W> W*d8,Bg4>e6 В*а2фе2>£2 (B,71) W*d8,Ed5>c8 B*d2,^)d4>d3 (48) Draw (see p.379) WE-<£ W*b8jhl>g8 ВФа4,Да8><15 (В,73) W<4>b8,Bc7,Wb7 B*d4,Jlb5>a5 (56) Draw (see p.377) WB-WE W*c8,Eh2,1irh3 B*e6,Ee4>el (В,92) W<4>b8,Bc7,Wb4 B*e8,Ee5>g3 (40) Draw (see p.379) W-ЕД W*a8>d3,bl ВФе5,Де4,Ва5 (W,14) None Win W*d6>d8,d7 B*hl,Ea6>a7 (W,48) W*d5>f4,e3 B*b7,Bhl>a8 (15) Win (see p.382) W*a8>f8,g8 B*g2>b4,d4 (B,44) W*c7>c8,dl ВФсЗ,1Т6,Ь2 (14) Draw (see p.384) Note that there is a curiosity in this table. The position W<4>d6,W7,^h5; which is the ‘longest win’ with v is actually ille- gal. This odd situation arises because endgame databases are constructed by working backwards from the terminal positions, and this procedure cannot detect whether a position is illegal for retro-analytical reasons (as here).
330 Secrets of Pawnless Endings 14.1 Rook and Minor Piece v Two Minor Pieces This heading embodies seven distinct endings: v 2£), Е+Ф v JL+Ф, Е+Ф v 2JL, E+JL v 2#), B+JL v JL+Ф with same-coloured bishops, E+JL v JL+Ф with opposite-coloured bishops and E+JL v 2JL. A number of these occur relatively frequently in over-the-board play. Of the seven possible material balances, only two (E+JL v 2£) and E+JL v А+Ф with opposite-coloured bishops) are gen- erally won. However, although the others are all drawn in general, many of them offer quite good practical winning chances. This applies espe- cially to those endings in which the defender has a knight. If the knight becomes disconnected from the de- fender’s other pieces, the winning chances increase considerably. This may occur either because the knight is poorly placed initially, or because the attacker is able to exploit some other advantage (such as more active pieces or an attack against the king) to drive the knight to a poor position. Rook and Knight v Two Knights We start with Е+Ф v 2£), where the defender labours under the handicap of having two knights. While the de- fender should draw if he starts off with his pieces in a compact cluster, it doesn’t require much to tilt the bal- ance in the attacker’s favour. Starting with one of the knights in a bad posi- tion can be enough, as the following example shows. 459 -/+ Zita - Kotov Moscow-Prague match, Moscow 1946 (459): It should come as no sur- prise to learn that this position is quite easily winning for Black since one of White’s knights is hopelessly disconnected from his other pieces. It does not help that White’s king is quite poorly placed on the edge of the board. The game continued l...Ed7 2 £k3 (2 ЙЬ2 Ed4 imprisons the knight) Ed6+ 3 *g7 (3 ФЬ5 *f5 4 2>b5 Eb6 5 2k3 Eb7 6 ФЬб 2k5 7 £)g5 £)g4+ 8 ФЬ5 Bg7 wins for Black) iT5 4 2>f8 2>g5 (all White’s pieces are now in difficulties) 5 £)b5 (5 Sk2 Ed3 6 ФЬб {6 *g8 *f6 7 2>f4 Bd8) 2k4 7 £kl ЕеЗ 8 *g7 2>f6 9 ФЬб {9 *f7 ЕсЗ} 2>g4+ 10 &gl Ee7+ wins for Black) Ed5 6 4k7 (6 £k3 Ea5 {threatening to play ...Ea7+} 7 *h6Ea6+ 8 *g7 {8 ФЬ5 ЕаЗ} Ea7+ 9 i’gS 5k6 10 £)xe6 Фхеб 11 Sk4 *f5 12 2rt6+ Фе5 13 2>f7+ &f6 14 Ea5 15 2>e8+ Фе7 16 £)g7 Eg5 is winning for Black) Ed8 (zugzwang) 7 £)b5 (7
Six-Man Endgames 331 &аб 4кб+ 8 ^хеб Фхеб 9 £к5+ Фе5 10 ФГ7 Ed5 11 2>b3 *d6 12 ФГб Ed 1 13 Ф45 Ф<15 wins for Black, as does 7 Фg8 ФГ6) £)e6+ (Black liquidates to an easily winning rook v knight ending) 8 £)xe6 Фхеб 9 £>c3 (9 ?k7+ Фе5 10 Фg6 Eb8 fol- lowed by ,.^d6 is winning for Black) Фе5 10 Фgб Ed3 11 2>b5 Eb3 12 &c7 Eb6+13 Фg5 Eb714 ^e8 Ee7 0-1. A poor king position can be just as fatal. 460 -/+ Knop - Scepanik Bundesliga jr 1995/6 (460): In this position the white knights are disconnected from White’s king, which in addition is very badly placed on the edge of the board. De- spite these advantages, the game continued l...£)f2+? 2 £)xf2 Ed2+ 3 Фе1 Exd6 V2-V2. Instead Black could have won by l...£tf4 2 Фс1 (or 2 2>g3 ФdЗ 3 Фе1 2>g2+ 4 ФП 21e3+) S)e2+ 3 ФЫ Еаб 4 ФЬ2 Есб 5 ФЬЗ Фd4 6 ФЬ4 Фс15 7 ФЬ5 2к14+ 8 ФЬ4 £rf5 forcing a liquidation to a winning Е v £) ending. The finish might be 9 2>xf5 Фхе4! 10 2>g3+ ФdЗ 11 2>f5 Ee6 12 ФЬЗ Bb6+ 13 Фа4 Фе4 14 2>g3+ Фd4 15 2tf5+ Фс5 16 21e3 Eb2 17 ФаЗ Ed2! 18 2>f5 Eg2 19 Фа4 Eg4+ 20 ФЬЗ Eg5 and the knight is soon rounded up. This ex- ample shows how it is often impor- tant to be able to judge accurately rook v knight endings which result after an exchange of knights. 461 Landau - Abrahams Bournemouth 1939 (461): With accurate play White can win this position in 124 moves against best defence. It might seem surprising that White can win with his king so far away, but it takes Black several moves to coordinate his knights, and in this time White can bring his king to the centre. In addition, Black’s king is badly placed. However, the position is very finely balanced and accurate play is essential. Of course, in practice ac- curate play is virtually impossible
332 Secrets of pawnless Endings and in any case the 50-move rule would intervene before White had got very far, but this example shows that very long wins do sometimes arise in practical play. 1...2>bc7+ 2 ФЬ7? Already a slip. This is the wrong route for the king because Black’s knights can mount an effective block- ade. The more roundabout 2 Фа5! is the unique winning move. Best play continues 2...$k8 3 Ed7! £)df6 4 Ea7 £»d6 5 ФЬ4 £lfe4 (Black tries to set up a barrier with his knights, but it cannot be maintained) 6 £lg6 (Black’s king is stalemated and so the barrier crumbles) 4t)f7 7 Фс4 i’g? 8 4ie5! 4ieg5 9 Фс15! (Black has collected his pieces together, but in the meantime White’s king has marched up to a powerful central po- sition; in marginal endings such as E+£> v 2$S or v 2E even a modest positional advantage can tip the balance in the attacker’s fa- vour - here, for example, White’s ac- tive centralized pieces are enough) *f6 10 2>g4+! ФТ5 11 £»e3+ *f4 12 £lfl ФТ5 (Black’s knights are well placed to prevent White’s king from penetrating so Black tries to avoid moving them) 13 £lg3+ i>g4 14 £te2 *f3 15 ?ki4+ ФТ4 (White has manoeuvred his knight to a different position and can now seek to make progress) 16 ЕаЗ ^Ьб 17 £ie2+ ФТ5 18 Ea4 ^h7 19 Ea5 2>f6+ 20 *d6+! Фе4 21 Феб! £ifg4 22 2k3+ Фf4 23 Eh5 (Black’s knights are more or less paralysed, but it is hard for White to make progress) ФГЗ 24 £k!5 Фе4 25 Eh4 and only 100 further accurate moves are necessary to ensure the win! 2.~&e6! Black finds the only drawing move. ЗВПФ^7 3...£кИ4 is the only other drawing move. 4Фсб£1еЗ? A serious error, allowing White to drive Black’s king to the edge of the board. Now the win is just 32 moves deep. 4...£кИ4! 5 Фd6 Фf6! is the correct approach, keeping White’s king out. 5 Ef7+! Фв8 Compared to the initial position, Black has achieved nothing while White’s king is in a much more ac- tive position. бФд7 6 Ea7 is more accurate, saving 15 moves. The continuation might be 6...2>f4 7 Фd6 2>f5+ 8 Фс5 2ih6 9 2k6 ®f7 10 Фd4 ФТ8 11 Фе4 and White’s king penetrates via f5. 6...2>c5+ 6...£lg5 is a tougher defence. Af- ter 7 Ef6 (the next best move, 7 Ef4, is 86 moves slower) £te4 8 Ef4 £)g5 9 £)g4 White should still win, but there is a lot of work to do. 7 Фе8 7 Феб is better, to return to the quicker win given in the note to White’s 6th move. 7...&e6 7...£ie4 holds out 8 moves longer. 8 Ef3 4bf5 (462) Black employs a typical knight- fork defence. 9 Фд7?!
Six-Man Endgames 333 Up to now White’s errors have been understandable, but this unnat- ural move makes the win 64 moves longer. The quickest win is 9 Efl 21e3 10 Egl+ 2>g7+ 11 Фе7 2kl5+ 12 *d7 2>f6+ 13 *d6 *f8 14 2k6 *f7 15 2kl8+ *f8 16 Efl *g8 (again utilizing a knight fork) 17 Фе5 2>d7+ 18 Ф<15 2>f8 19 *d6 £}g6 20 Egl ФЬ7 21 Ehl+ *g8 22 and in the main lines White can liquidate to a winning Й v?j ending: 1) 22...^423*e5^gh5 24Eh2 ФТ7 25 ФТ5 2>e6 26 Ef2 ^eg7+ 27 Фе5+ *g6 28 ^e7+ ФЬб 29 Eg2 ФЬ7 30 Egl ФИ6 31 Eg4 ФЬ7 32 21e8 (32...£lxf5 33 *xf5 2>g7+ 34 ФТ6 ^e8+ 35 *f7 2kl6+ 36 Фе7 2>f5+ 37 *f6! 2kl6 38 Eh4+ *g8 39 Ed4 2>e8+ 40 Фе7! 2>g7 41 Bd5 ФИ7 42 ФТ8! *g6 43 Ed6+ and White wins) 33 Феб £lhf6 34 Egl £)h5 35 ФТ7 with a quick mate. 2) 22...ФГ7 23 Efl+! Фе8 24 Ef6 2>f8 25 21e5 2>fe6 26 ^g6 *d8 27 Ef7 ?ki4 28 *d5 2>ge6 29 Efl *d7 30 Bel Фс8 31 Ee4 Фс7 32 £)e5 ФЬб (after 32...£>b3 33 Ec4+ 2>bc5 34 £k!3 White wins a knight) 33 £rf3 2ixf3 34 Exe6+ ФЬ5 35 ЕеЗ £jd2 36 Bd3! 2>fl 37 Фе5 Фс4 38 Фе4! with a reciprocal zugzwang. 9...4V5+ This check shortens the win by 49 moves. 9...£ied4 followed by ...&gl is a much better defence. Then 10 ЕаЗ! Фg7 11 Ea6! keeps the black king confined and White can win in the end, but only with considerable difficulty. 10 Фе8 2>g7+?I Black collapses and shortens the win from 43 moves to 11 moves. 10...41e4 11 Ef4 Фg7 12 Eg4+ ФЬ7 is better. White can win after 13 Фd8 £te5 14 Фс7 but again it is not easy. ii Фае?! Up by 18 moves again; the obvi- ous 11 Фе7 wins quickly. 11...4ke6+ 17 moves are returned. The knight still belongs on e4. 12 Фе7 Now Black is dead lost. The finish was 12,..£k7 13 £k17 (13 £)g4 wins at once, but this move was the last significant slip) £id5+14 Ф06! (knight-fork tricks cannot save Black now; his pieces are too passively placed for any substantial resistance) 15 Фе5 ^g4+ 16 ФТ4 ^h6 17 Фg5 2>f7+ 18 ФТ6 2x16 19 Efl 2>gf5 20 Egl+ ФЬ8 21 2>h6 22 Ehl ФЬ7 23 2g4 1-0. If the defender’s knights are pro- tecting each other, but are far away from their king, they can be com- pletely paralysed by the attacker’s king. Then the rook and knight can
334 Secrets of Pawnless Endings drive the defender’s king into a poor position, leading to a decisive liqui- dation into a won E v ending. The following example, although not very accurately played by the attacker, shows this winning method in ac- tion. 463 Lukic - Kamenecki Bosnjaci Open 2000 (463): This is a win in 25 moves. The defender is handicapped by his poor king position and inability to coordinate his knights properly. 1 £lbd6+?! Giving up without a struggle, since now Black can paralyse the knights with his king. The knights are at the moment quite well placed for the de- fence, since ...i>d3 can be met by £ie5+, so the best defence is simply to wait with 1 i’dl. The ensuing win is very instructive: l...Eh2 2 Фс1 (2 Фе1 ?k5 3 Фdl transposes) £te5 (Black’s task is to manoeuvre with his king and knight so as to disturb the arrangement of White’s knights) 3 Фdl (after 3 2>b2 2>b3+ 4 ФЫ Фd5 5 2k3+ Фd4 6 2>b5+ Фс5 7 2йЗ ФЬ4 8 ?к2+ ФеЗ 9 &а4+ Фd2 Black’s king has penetrated and the end is quite close: 10 ФЬ2 £)a5 11 2>al Ф<13+ 12 ФаЗ Фс4 13 2>b6+ ФЬ5 14 £id5 Ed2 15 2кЗ+ Фс4! 16 £la4 Ed3+ 17 Фа2 ФЬ4 with a quick finish) £lb3 4 Фе1 £tel 5 Фdl (after 5 2>ba3 Фd4 6 2kl2 ФdЗ 7 2>f3 Eh5 8 Фdl 2>b3 9 2>c2 Hhl+ 10 2>cel+ ФеЗ! 11 Фс2 £к5 12 2>h4 ФТ2 13 £leg2 £ld7 14 ФdЗ ФgЗ White’s knights are paralysed and Black can manoeuvre with his rook and knight until he reaches a position where he can force a decisive exchange of knights: 15 Фе4 Eal 16 Фf5 Ea5+ 17 Фе4 2>f6+ 18 ФеЗ Ea4 19 Фе2 ЕаЗ 20 Фd2 2kl5 21 Фе2 Ea2+ 22 ФП Ef2+ 23 Фе1 2>f4 24 £ixf4 Exf4 25 2>g6 Ef6) £te2 6 Фе1 (White continues to wait, but Black’s knight is nearing its destination) £)gl 7 Фdl £rf3 (now el is out of bounds and the king must move towards the comer) 8 Фс1 Фс15 9 ^Ь2 Фс5 10 £кЗ ФЬ4 11 ^4 Ее2 12 2к13+ Фс4! 13 £>Ь2+ Фd4 14 2>g3 (with White’s knights separated and his king still badly placed, there is no hope for White) Eg2 15 £lf5+ ФеЗ 16 21e3 Ed2 17 &a4+ ФЬ4 18 £>Ь2 ФЬЗ 19 2>bdl Ее2 20 2>fl Еа2 21 ФЫ 2id4 22 2>fe3 Ed2 23 Фс1 Ed3 24 ФЫ £1е2 25 Фа1 £кЗ with а quick mate. 1... Фд4 2 Ф<11 2 £ki2 ФdЗ 3 £lf3 Ee2 wins for Black. 2...4V5 2...Фс5 is the systematic way to proceed. Black’s king paralyses the
Six-Man Endgames 335 knights and after 3 Фе1 £k3 4 ФП Eh2 5 Фе1 £lb5 he liquidates to a won Й v Й ending: 6 £>xb5 Фхс4 7 £к!6+ ФdЗ! 8 2tf5 Eg2! 9 ФГ1 Eg4! 10 2kl6 Eg7 11 2>b5 Ef7+ 12 Фg2 Ed7 and the knight is soon rounded up. Black could also win with the simple 2...£lb2+, when 3 £ixb2 Bxb2 4 £)f5+ ФdЗ! 5 Фе1 Eg2 transposes to the analysis of 2...Фс5. ЗФе1 3 £k!2 puts up more resistance, al- though Black can still win by 3,.^d3 4 £lf3 ФеЗ 5 £lf5+ Фе4 6 £lel Eg6 7 2>h4 Ea6 8 £ihg2 ^b3 9 5k2 Eg6 10 £igel Ed6+11 Фе2 Ed2+ 12 ФП Ф44 13 2>b4 £k!4 14 5W3+ (14 2>bd3+ ФеЗ) Фе4 15 2>f2+ (15 Stel 16^bd3 2>h2+ ^gl ФеЗ 18 ^e5 Ф44 19 2k4 Па2) ФГЗ 16 2>bd3 ФеЗ 17 Фg2 Ec2 18 ФgЗ (18 ФП 2>b3 19 Фgl £2>d2) ^e2+ 19 Фg4 £kl 20 2>xcl Exf2! 21 ^b3 Ef4+ 22 Фё5 Eb4. 3...£kl3+ 4 ФП Ea2 4...Hf2+ 5 Фgl Фс15 6 ФЫ 2>e5 is easier, but Black seems reluctant to force the exchange of knights. 5Фв1 5 2>a3 is a little better. 5~.4)f4 Once again, the plan of ..^d5 fol- lowed by ...4ie5 is an easy win. бФП^ЬЗ White is essentially paralysed, so Black can afford to take his time. However, it is clear that the knight doesn’t really belong on h3 and if Black is to win he will sooner or later have to reposition it. 7 Фе1 Eh2 8 Ф-fl Ef2+ 9 Фе1 Ef6 But now Black starts to make things genuinely hard for himself. He should have returned with his rook to h2. 10 Фе2 Ef8 Black’s inaccuracies have pushed the length of the win up from 2(!) moves to 22 moves. 11 Ф<12 Ef2+ (464) 464 -/ 12 Фе1?! As so often happens, inaccuracies by the attacker do not change the eventual result. Sooner or later the defender makes a slip, and then it is all over. White should have taken his chance to play 12 Фс1. 12...Ea2 13 ФП 13 ‘5M2 was the last possibility for any real resistance, although Black wins by 13..^d3 14 £lb3 Ee2+, and now: 1) 15 Ф012>f2+ 1бФс1 ФсЗ 17 2>b5+ Фс4 18 £>5d4 £к!3+ 19 ФЫ (19 Фdl Ea2) Bf2 20 Фа1 ФсЗ 21 ФЫ £)Ь4 wins for Black. 2) 15 ФП Ес2 16 2>Ь7 (16 Фе1 ЕсЗ 17 2>b7 2>g5 18 Фdl 21е4) ^g5
336 Secrets of Pawnless Endings 17 2kl6 18 2>a5 £id2+ 19 *gl Eb2 20 &ab7 4ie4 and Black wins. 13...2>g5 14 Фе1 2>f3+ 15 ФГ1 15 *dl ФеЗ 16 2>a3 Фаз 17 2>bl Sal wins for Black. 15...Фд5 0-1 Zugzwang costs White a knight. 465 +/= Longest win: S+& v 2^ White to play; 243 moves (465): Of all the long wins given in this chapter, this is the most incredi- ble. S+Ф v is generally drawn, so White has to keep Black off- balance throughout the 243 moves of the solution. The main line is notable not only for its obscure manoeuvres but also for the amazing total of 96 ‘only’ moves. This is a good candi- date for the most difficult known win in chess. It seems almost impossible to explain such wins using general principles and in the end we may just have to admit that such positions can only be understood if you know the whole database, which effectively rules out human comprehension. All the longest wins in this chap- ter consist only of optimal moves. Where there were several equally good moves, I have chosen the move that seems to me to make the most sense from the human perspective. 1 Фдб! ^6g4 2 Фа 5! 2>e3+ 3 *d4! 5k2+ 4 ФеЗ! ^e3 5 Ф<12! £ifg4 6 ФаЗ! Фя2 7 Фе4! $к4 8 ФГ4 ^ge5 9 Еа7! 2>d3+ 10 Фе4! 2>f2+ 11 Фа4! £>аб 12 Фаз 2>Ь5 13 Еа5! 2>dl 14 Фс5! ^ЬсЗ 15 Фа4 £>е2+ 16 ФаЗ! 2>g3 17 Sal! ЗД2+ 18 ФеЗ! ЗД1+ 19 Фа4 2>g3 20 ЕаЗ £if5+ 21 Фа5! ^dl 22 ^сб! 2ЯеЗ+ 23 Феб! 2>g7+ 24 ФГ7 2>gf5 25 Фйб ФТ2 26 Еа2+! ФТЗ 27 Фе5! Фg4 28 Фе4 ^с4 29 Еа4! Фg5 30 £к!8! 2>g3+ 31 Фа4 ^Ь6 32 Па7! 2tf5+ 33 Фе4 £к4 34 £te6+ ФТ6 35 Еаб! 2>g3+ 36 Фа4 2>d6 37 ФаЗ! ^de4 38 ЕаЗ! £15 39 ^f8 £if2 40 Ef3! £g4 41 Фе4! £>gh6 42 Ef2! (but not 42 Efl? Ф17! 43 £id7 Фе7 and the fork on g3 saves Black) Фе7 (here 42...ФП43 £id7! Фе7 442k5! wins for White) 43 £>g6+ Феб 44 £14+ ФТ6 45 £к13 Феб 46 &c5+ Фаб 47 £>Ь7+ Фс7 48 £а5! £Я6+ 49 Фа5! £>g4 50 Ed2! £еЗ+ 51 Фд4! £>g4 52 Eg2 ФЬб 53 £>ЬЗ! £b5+ 54 Фе4! £d6+ 55 ФТ4 £>Ь6 56 Ес2! £>Ь5 57 Ecl! £17 58 £>d2! £к7 59 £>с4+! ФЬЗ 60 Фе4 £>g5+ 61 ФГЗ £ge6 62 £>d6+ ФЬб 63 $к8+ ФЬЗ 64 Фе5 £к5 65 ЕЫ £>ЬЗ 66 ЕЬ7 £а6 67 ЕЬ7+! Фс4 68 £d6+! ФеЗ 69 Eg7 ^а5 70 Eg4! 5к6+ 71 Фе4! ^а5 72 ФеЗ £>Ь4 73 £>Ь5+! ФЬЗ 74 £d4+ Фа4 75 ЕЬ4! (466) This is a not very obvious recipro- cal zugzwang.
Six-Man Endgames 337 466 =/- 75...2>c4+ 76 Фе4! (a nice pic- ture) 2d6+ 77 Фе5! 5k4+ 78 Феб 2a3 79 Eh8 2bc2 80 2>f5! ФЬ5 81 *d5! 2b4+ 82 Фе4! 2c4 83 2x14+! ФЬб 84 ЕЬ6+! Фс5 85 Eh5+ Фаб 86 215+ Ф<17 87 Eh7+! Феб 88 ФО4! ФЬ5 89 Eh5! 2а5 90 2Л6+! ФЬб 91 Eg5! Фс7 92 2>f5! Ф<17 93 Eg2! Феб 94 2>g7+! Ф<17 95 Eh2 2>Ь7 96 Ed2! Фе7 97 ЕЬ2! 2x18 98 Фс4! 2bc6 99 Фа5! Ф<17 100 Ed2! Фе7 101 2h5 2>Ь4+ 102 Фс5! 2йб+103 ФЬб! 2Ь8104 2f4 2f7 105 Фс7! 2аб+106 Феб 2b8+107 Ф<15 2d7 108 Ее2+! ФТ6 109 Ef2! 2b6+ 110 Феб 2с4 111 2>d5+! Фg5 112 2ie7! 2х:е5+ 113 Ф<15! 2Ь6 114 Efl! 2d7 115 Egl+ ФТ4 116 2>g6+ ФТ5 117 Фдб 2f6 118 2h4+! Фе4 119 Ее1+! Фаз 120 Фе5! 2>d7+ 121 Феб 2>с5+ 122 Ф<15! 2d7 123 Edl+ ФеЗ 124 Efl 2b6+ 125 Феб! 2с4 126 2>g2+! Фе2 127 Ef4! 2b2 128 Eb4! 2dl 129 Фе5! 2>f2 130 2f4+! Ф13 131 Eb3+! Фg4 132 2d5 2>f7+ 133 Ф<14! 2h6 134 2e7 ФТ4 135 Eb5 Фg4 136 Eb2 2ЛЗ 137 Фе5 2>f7+ 138 ФТ6! 2fg5 139 Eb4+ ФgЗ 140 ФГ5 2f3 141 Eg4+ ФГ2 142 2d5! 2hgl 143 Eg8! 2e2 144 Ef8! 2d2 145 Фе5+1 Фе1 146 2>b6 Ф<11147 Ec8 Фе1 148 Ed8 2gl 149 Фд4 Фе2 150 Ee8+! Ф(2 151 2d5 2h3 152 Ef8+ Ф&3 153 Фаз 2f3 154 ФеЗ! 2>h2 155 Eg8+ 2g4+ 156 Фе4 2hf2+157 Фа4! ФЬЗ 158 Ea8 ФЬ4159 Ef8 (467) Zugzwang. 159„^g5 160 Ef3 2dl 1612c7 2h2162 Ef8 Фg4163 Фе4 Ф^ 164 Ea8 2f2+ 165 ФТ5 2fl 166 Ba3+ Фя2 167 2>e6 2g3+ 168 Фе5 2e2 169 2>g5 2>dl 170 Ф<15 2>ec3+171 Фс4 Ф(2 172 Фаз 2d5 173 ЕЬЗ (zugzwang) Фg2 174 Фа4 215сЗ 175 Eb8 2>e2+ 176 Фе4 2>g3+ 177 Фе5 ФТ2 178 Фд4 2e2+ 179 Фе4 2g3+ 180 Фаз Фg2 181 фа2 2f2 182 ЕЬ2 ФП 183 Ec2 2f5184 Ec5 2h6 185 Ec3 2fg4 186 Eg3 2f2 187 Ef3 2>hg4 188 Ef4 (zugzwang) Фg2 189 Фе2 ФgЗ 190 Ef5 Фй2 191 Bf3 2)hl 192 Ea3 2>g3+ 193 Фаз 2»5+194 Фа4! 2g4195 Ea2+
338 Secrets of Pawnless Endings ФП 196 Фаз 2>f2+ 197 ФеЗ Stf5+ 198 ФТ4 ^d4 199 Sd2 ^e2+ 200 ФО 2igl+ 201 ФеЗ! £lg4+ 202 ФТ4 £lf2 203 &еб Фё2 204 ФеЗ ^gh3 205 Eb2 ФйЗ 206 Sb3 Ф^2 207 2>g7 £lg4+ 208 Фе4 2>gl 209 ФГ4 0X2 210 «Л5 ^dl 211 Фе4 £>e2 212 2>h4+ ФП 213 Sf3+ Фе1 214 £lg2+ Ф<12 215 Ed3+ Фс1 216 Sd8 2>g3+ 217 Фга 2>fl 218 &el £>c3 219 ФТ2 2>d2 220 ФеЗ £3b3 221 Eh8 ^dl+ 222 Фе2 £)c5 223 Sc8 2>c3+ 224 ФеЗ ^5a4 225 Ф<13 ФЬ2 226 Eb8+ Фс1 227 Sb4 2>dl 228 Ec4+ ФЫ 229 Фа2 ^db2 230 Eh4 Фа2 231 5Ф2 ^c5 232 ФсЗ 2>dl+ 233 Фс4 ^a4 234 ^Ь4+ ФЫ 235 Eh5 £ac3 236 Ehl Фс1 237 Eh2 ФЫ 238 ФЬЗ ^b5 239 Ed2 Фс1 240 Ed5 ^bc3 241 Sd3 ФЫ 242 £ld5 with a quick mate. Rook and Knight v Bishop and Knight Moving on to Е+Ф v ф+£1, some of the same principles apply. If the de- fender has his knight cut off from his remaining pieces, then he may not be able to save the position. (468): Even though Black cannot win the badly-placed knight straight away, this position is lost. The game continued 1 Фс4 Eb2 (very wise, as the next best move, l...Eb6, would take 54 moves to win) 2 Фgl (2 0^c7 Фаб 3 £1е8+ {3 £>аб transposes to the game} Фе5 does not help as the knight is still unable to reach a de- cent square; Black wins after 4 JLf7 Eb7 5 Фс4 Ee7 6 ФЬ5 2ki5 7 Феб £te3 8 Фg2 Фа4 followed by ...Фс5, and the knight falls) Фаб (Black’s 468 -/+ Grishchuk - Burmakin Linares (Anibal Open) 1999 simplest plan is to play the king to- wards White’s trapped knight) 3 ФП Феб 4 Фgl (White can only wait; af- ter 4 JLf7 ФЬб 5 2>b8 Ed2 6 Фе8 £к13 7 2k6 {7 Фс7 8 Фgl Фа8 9 ^6 Фе7 is winning for Black} Ef2+ 8 Фgl Ee2 9 JLd7 ?k5 10 *fl Ee4 11 ФЬЗ Ef4+ the knight falls) £id5 (4...ФЬ6 is quicker; for exam- ple, 5 ФП 2>g6 6 ФЫ 7 2>b8 £lf3) 5 JLd3 (5 Ф.П is no better; e.g., 5...21e3 6 JLd3 Eg2+ 7 ФЫ Ed2 8 Фе4+ ФЬб 9 2>b8 Ed4 10 ФfЗ Ed8 11 2кб Ef8 12 Фе4 Ef4) ^e3 (this wins, but returning by 5...£lf4 is quicker) 6 Фе4+ Фаб 7 ФГЗ (still White can only wait) Ed2 8 ФЬ7 (8 Фе4Ea2 9 ФЬ7 {9 ФбЗ Фе5 102>b4 Ed2 followed by ...&f4-g3 is easy} ЕаЗ 10 ФТ2 2kl5 И Фе2 ЕЬЗ 12 Фс8 Eb6 followed by ...&e7 is a win for Black, while 8 £1Ь4 Фе5 fol- lowed by ...ФГ4 and ..^g3 is also winning for Black) £k!5 (the sim- plest; White’s knight is totally con- fined and any exchange on d5 would
Six-Man Endgames 339 lead to a lost rook v knight ending) 9 £lb8 (9 Лс8 Eb2 followed by ...Bb6 and ...4ie7 wins for Black) Фс7 10 JLxdS ExdS 11 5)a6+ ФЬб 12 ^b4 Ed4 0-l. The following example shows that even if the knight can link up with the other pieces, the defender may still be doomed by a poor king position. Stocek - Morovic Pula Open 2000 (469): At first sight Black’s posi- tion doesn’t appear too bad, but a number of small advantages serve to give White a forced win. Firstly, all White’s pieces are actively placed, with king and knight occupying dom- inating central positions; secondly, Black’s bishop is caught in an awk- ward pin and finally Black has to spend time connecting his knight with his other pieces. There are two main lines: 1) 1...4)c5 2 Ea7 2>e6 3 21e3 (threatening 4 £lf5+ i’gb 5 Eal) 2>f8 4 2>f5+ *g6 5 2>h4+ *g7 6 Ф15 (this manoeuvre looks odd, but it restricts Black considerably; White prevents ...£)g6 and offers Black a choice: either to allow s2?f6, or to permit #M3-e5 under favourable cir- cumstances) £)h7 (6..^g8 7 Ф16 2>h7+ 8 Фе7 JLd5 9 Ea5 Ле4 10 Ee5 Лсб {1О...Ла8 11 2>f5 2>f8 12 ЕеЗ £lg6+ 13 i’fb wins for White} 11 ЕеЗ ФЬ8 12 £Т5 with decisive threats) 7 £>f3 Фg8 (Black must un- pin or he will lose the bishop) 8 £le5 JLd5 9 Ec7 2>f8 10 Фf6 2>h7+ 11 Фg6 2>f8+ 12 ФЬб Леб 13 Eb7 JLd5 14 Eb8 and White wins. 2) l..,^)g5 (the game continua- tion) 2 (preventing ,..^e6) 5)f3+ (Black tries to prevent White’s king from settling on f5, but this proves impossible) 3 ФТ5 £lh4+ (3...£kl4+ 4 Фе4 drives the knight far away; White wins after 4...^b3 5 Фе5 6 Ec7 2>b3 7 ^еб+ Фё6 8 Ec4 ?ki2 9 Eg4+) 4 Фg5 £lf3+ 5 Фg4 £>eS+ 6 ФТ5 (with every white piece in a su- perb position, the end is not far off) 4k4 (or 6...£lf3 7 £)e6+ Фg8 8 £ld8 Лс4 {8...Лс15 9 Ed7 Лс4 10 Фf6 £lh2 11 £k6 £lg4+ 12 Фg6 wins for White} 9 Фf6 2>h2 10 Eg7+ ФГ8 {10...Ф118 11 Eg5 2>f3 12 Ec5 Ла2 13 £rf7+ mates) 11 Eg2 Фе8 {or ll...£lf3 12 &еб+Фе8 transposing} 12 2>e6 2tf3 13 Eg3 Лхеб 14 Фхеб £к!4+ 15 Фе5 2кб+ 16 Фd6 2к14 17 Eg5 ФП 18 Ed5 £te2 19 Ed2! 2k3 20 Ef2+ Фg6 21 Фе5 and White wins) 7 Ed7 (7 &e6+ ФЬб 8 Eb8 Лхеб+ 9 Фхеб also wins) 5)e3+ 8 Фg5 ФГ8 9 Ed3 1-0, in view of 9...&C4 10ФГбФе8 11 Ed4^a5 12 Ее4+Ф18 13Ee7.
340 Secrets of Pawnless Endings Longest win: Е+Ф v Л+Ф White to play; 190 moves (470): This ending is in general a draw, so White has to start off with a positional advantage in order to win. In the diagram position the offside location of Black’s knight is the key factor. 1 Ф08! Ле4 2 Cel! JLg2 3 Ee2! ЛЫ 4 Ee7! Лсб 5 ФЬЗ ФЬ5 6 Sh7! Ле4 7 Eh5 ^)d6 8 ^)d4! ФГ7 9 Ee5! ЛЫ 10 Ee7+! *g8 11 Ec7! ФБ 12 ФО! *f8 13 2>g5 Ла2 14 Ec2! ЛМ 15 Ecl JLd316 Ec7! *g8 17 ФЬЗ! Ле218 Ec5! JLd3 19 ФГ4! ЛЫ 20 Ecl! Ле4 21 Ec7 Ла8 22 ФйЗ JldS 23 Фе5! *f8 24 Ed7 ЛЬЗ 25 Eb7! JLd5 26 Ec7 Ла2 27 Ec6 ЛЫ 28 *d7! ФеЗ 29 Ecl ЛГ5+ 30 *d8! Лс2 31 Eel ФГ5 32 &d7! ФЬб 33 Феб! ЛЬЗ+ 34 ФТб! ^g8+ 35 *g6! Лс2+ 36 *g5! Фе7 37 Eal! Феб 38 £>g4! (although Black is constantly on the verge of coordinating his pieces, he never quite manages it) Ле4 39 Eel! Фd5 40 ФТ4 JLg6 41 ФеЗ+! Фd4 42 Фg5! Ле4 43 ФП! Фd5 44 Ф<12 ЛЬ7 45 ЕеЗ Фd6 46 Eh3! Лс2 47 Фс4+! Фс5 48 ЕсЗ! ЛЬ7 49 Ecl Ф05 50 ФЬ6+ Фd6 51 Edl+ Феб 52 Фd5 Ле4 53 ФГ4! Jtf3 54 Efl Ле4 55 Eel ЛЬ7 56 Ecl+ Фd6 57 Edl+ Феб 58 Ed8 Фс7 59 Фе6+ Фсб 60 ‘£d4+ Фс7 61 Ef8 Фd6 62 ФЬ5+! Фе5 63 Фа7 Фd6 64 Фс8+ Фсб 65 ЕЛ Ле4 66 ФТ4 JLd3 67 Egl! ФГ6 (Black finally gets his knight away from g8, but runs into fresh trouble) 68 Фе5! Фd7+ 69 Фd4! ФЬ7 70 Фе7 Ле2 71 Eg3 Фс7 72 Фd5+ Феб 73 Eg6+ ФЬ7 74 ФГ4 ЛГЗ 75 Eg3! Лсб 76 Феб! ЛЫ 77 Eh3 JLg2 78 ЕЬЗ+ Феб 79 ФГ4! ЛП 80 ЕеЗ ФЬб 81 Ее6+! Фс7 82 Eh6 83 Ehl ЛЬ5 84 Фd5+! Фс8 85 Eal Ле2 86 ФГ4 JLg4 87 Egl Л« 88 Eg3 ЛЫ 89 Eh3 Лсб 90 Феб! JLg2 91 ЕсЗ+ ФЬ8 92 Eel ±f3 93 ФеЗ JLd5 94 Фс7! JLf7 95 ФЬ5! Леб 96 Фd6 ФЬб 97 Фd4 jLd7 98 Фе5 Фа7 99 Ес7+ Фаб 100 Фd4 Фа5 101 Фе4 ФЬ5 102 Ес5+ Фаб 103 Фd6 Фа4 (471) 471 Black’s king is trapped on the edge of the board with White’s king
Six-Man Endgames 341 occupying a good central position - clear signs of progress. Neverthe- less, there is still a long way to go be- fore White can claim victory. 104 Eg5 ФЬб 105 4>c4+ Фаб 106 Sg6+ ФЬ5 107 Sd6 Мб 108 Se6 M7 109 Be7 Мб 110 Sei JLd7 111 Sal M6 112 Sgl M7 113 4«5 M5 114 Efl Леб 115 Sbl+ Фаб 116 Shi ФЬ5 117 Sh8 4)b6 118 Sh5 4x15 119 4)f3 Феб 120 Sh6 5k7 121 4}g5! Фd7 122 4te4 JLf5123 4k5+ Фd8124 4)b7+ Фе7 125 Фе5 JLd3 126 Sh3 JLg6 127 4\a5 4)b5 128 Sh8 JLd3 129 4)b7 Ml 130 Sh2 5k7 131 4)c5 JLg6 132 Sd2 M8 133 4)e4 4)e6 134 4)f6 Мб 135 Sd6 4)d8 136 4)g8+! Фе8 137 Sdl 4)b7 138 Sd2 4)d8 139 ФТ6 4)b7 140 4)h6 4k5 141 Фе5 4)b7 142 ^g4 Фе7 143 *ЪеЗ Фе8 144 Sd3 (zugzwang) JLb5 145 Sd4 Фе7 146 Sd2 Фе8 147 ФТ6 4ic5 148 Sc2 4kl7+ 149 Феб! 4)b6 150 Sb2 M7+ 151 Фе5 4)c8 152 4и15 Мб 153 4if4 4ui7 154 Фd6 Id7 155 4x15 Фd8156 4)b6 4}b5+ 157 Фс5 4k3 158 Eb4 M8 159 Sc4 4}b5 160 Sc2 161 Фd6 4)b5+ 162 Фе5 4)a7 163 Фd5 4)b5 164 Sc8+ Фе7 165 Фе5 M7 166 Sc2 M8 167 Sc5 Фd8 168 Sc8+ Фе7 169 4и15+ Фd7 170 Scl Фd8 171 4if6 4k7 172 Ebl JLg6 173 Edl+ Фс8 174 Sgl ±f7 175 Ehl Фd8 176 Sh7 М3 177 Eh8+ Фе7 178 Sc8 4)e6179 Sc3 М2180 ЕаЗ M4 181 Ea7+ ФТ8 182 4tf7+ Фе8 183 Фd6 М3 184 4>e5 ФГ8 185 4)g6+ Фg8 186 Eb7 M4 187 4}e5 M6 188 Eb8+ 4}f8 189 Фе7 and the knight is lost. Rook and Knight v Two Bishops The ending 5+4} v 2JL offers few winning chances unless the attacker starts with a very favourable initial position. I could not find any relevant over-the-board examples of this ma- terial balance, so I will move straight on to the longest win. 472 +/= Longest win: 5+4) v 2JL (Opp) White to play; 52 moves (472): 1 Ehl! Фdl 2 Фе4! Фе2 3 Sh8! М3 4 Eh2+! ФП 5 4>g4! Фgl 6 Se2! М3 7 4ie3! ±f7 8 Ф<13! M8 9 Sg2+! ФЫ 10 Sg5! M6 11 Sb5! M8 12 Sb7! JLg6+ 13 Фе2! ФЬ2 14 ФГЗ! AgS 15 4)fl+! ФЬЗ 16 4)g3! М2 17 Sd7! ФЬ418 Sd5 М3 19 Sd4+ ФЬЗ 20 4)e4 M4 21 Sd6! M7 22 ФТ4! Фй2 23 Ed2+! ФЬЗ 24 Sdl Фg2 25 Фg4 JLg6 26 4)сЗ! M6 27 4)d5 M5 28 Ed2+! Фgl 29 ФТЗ! M5+ 30 Фе4! ±g3 3141f6! Ml 32 Sb2! Ml 33 4id5! M4 34 ФеЗ! M4 35 4)f4 Мб 36 4)h3+ Ml 37 Sc2 M8 38 Sc8 Ml 39 Scl+! Ф^2 40 ФТ4! ±g3+ 41 Фg4! M6 42 Sdl JLb4 43 4)f4+
342 Secrets of Pawnless Endings ФЬ2 44 £>d3 JLa5 45 Sal! JLb6 46 Ea2+ *gl 47 *g3 JLc7+ 48 ФЬЗ! ФП 49 Ef2+! Фgl 50 Ec2 and Black must give up a bishop to avoid mate. Rook and Bishop v Two Knights Now we consider the case in which White has a rook and bishop. It turns out that two knights is one of the worst combinations of minor pieces for the defender. While this might seem natural, one must bear in mind that against a queen, two knights is the best combination of two minor pieces; indeed, it is the only one which draws against a queen in general. It is a paradox that W v is generally drawn, while E+JL v 2$X which is a smaller material advantage on a ‘points’ basis, is generally won. Hav- ing said this, the win can be enor- mously difficult if the defender starts with his pieces in a compact group. 473 +/ Longest win: E+JL v 2& White to play; 223 moves (473): The win is very long and complex. Two knights are especially effective at creating barriers and these barriers have to be broken down one after another, in most cases using zugzwang as the key weapon. In the diagram, White’s first task is to parry Black’s initiative. 1 Фс8! 1 Фс7? Фе5! draws. 1... £>е7+ 2 Фд8! ^к6+ 3 Фе8! White cannot allow an exchange of minor pieces, so this is the only way to make progress. 3...^e6 4 Egl! Sk7+ 5 ФГ8! 2>e6+ 6 Фg8! ^e7+ 7 ФЬ8! ^d4 8 *g7! It might seem odd that this is marked with the ‘only move’ sym- bol, as Black has no obvious threats. However, it is important to bear in mind that even though E+JL v 2£1 is generally won, there are classes of drawn positions. Black was threaten- ing to reach a draw by playing ...ФГ6 followed by ...£klf5, when the two knights would control g8, g7, g6 and h6, imprisoning White’s king. Then Black’s king would still be relatively free, so White could not remove this barrier by zugzwang. Without his king, White has no chance of win- ning so this would be a positional draw. Over the next few moves White struggles to release his king without allowing a similar positional draw. 8...®e6+ 9 ФЬб! ФТ6 10 AhS! 10 JLe8? 2>f5+ 11 ФЬ7 2>g5+ 12 ФЬ8 2>f7+ 13 Фg8 £«7+ 14 ФЬ7 £lg5+ is a draw. 10„.‘?Af5+11ФЬ7! 2>g5+12 ФЬ8! The king is back in the comer, but the arrangement of Black’s knights precludes a positional draw.
Six-Man Endgames 343 12,..£>f7+13 *g8 2>e7+14 *f8! Thanks to the choice of square at move 10, there is no perpetual check. 14...£ri6 15 Efl+ S)ef5 Black has set up a useful barrier running e8-e7-f7-g7, but it is not wa- tertight as White’s king can creep round the edge via g8, h7 and g6. 16 JLdl *g5 17 JLa4 *g6 18 ±c2 ФГ6 19 i'gS &g6 Black obstructs the king’s exit for as long as possible. 20 £bl *g5 21ФЬ7 ФГб 22 Scl i>g5 23 Egl+ ФТ6 24 JLa2 Now Black must either move a knight or allow the king to reach g6. 24...£>e4 25 Eg6+ Фе5 26 Даб 2>сЗ 27 ДЬЗ £>e4 28 *g6 £>e7+ 29 ФП ^5 (474) After a tough struggle, White has released his king and now we have a ‘normal’ position. The winning pro- cess is in many ways mystifying, as White goes round and round, often reaching positions superficially sim- ilar to those arising much earlier in the main line. The notion of ‘progress’ is particularly subtle in this ending, and human minds struggle to com- prehend its essence. I mention some key zugzwang positions, which help to undermine Black’s barriers, but otherwise it is hard to explain what is going on. 30 Да5 &ec3 31 Дс5 Ф04 32 Ec4+ Фе5 33 М2 Ф06 34 <ig6 2>b5 35 M4 Фе5 36 JLf3 2>d6 37 Ea4 £>e7+ 38 *g5 2>d5 39 ihl (zugzwang) £)f7+ 40 &g4 £)h6+ 41 ФГЗ 2)g8 42 Да5 Ф04 43 4,g4 2)ge7 44 &g5 (zugzwang) Фе5 45 Hal Ф04 46 Eel Фс5 47 ФЬб Ф04 48 *g7 2>f5+ 49 ФГ7 2>fe3 50 Hal 4k7 51 Ea4+ Фс5 52 *g6 $kd5 53 Ee4 5k4 54 ^g5 ФЬ5 55 Де8 Фс5 56 Ec8+ Ф04 57 Ed8 5кеЗ 58 *g6 Фе5 59 Ее8+ Ф04 60 ФГ7 Фс5 61 Ed8 214 62 ФГ6 2fd5+ 63 Феб 2b4 64 JLf3 2с4 65 М2 2>b6 66 Edl £)4d5 67 JLf3 2b4 68 Ehl 2ia2 69 Eh5+ Ф04 70 Eh4+ Фс5 71 Ml 2c3 72 М3 2b5 73 Eh5+ ФЬ4 74 Ml 2c3 75 М3 5k4 76 ihl 2dl 77 M7 2c3 78 Eh4 ФЬ5 79 M8 2dl 80 Eh5+ ФЬ4 81 Даб 2de3 82 Ф07 2>g2 83 Eb5+ ФеЗ 84 Феб 2ge3 85 Eh5 (475) Comparing this to the position af- ter White’s 45th move, the effects of 40 moves of ‘progress’ are not that obvious. 85„.2b2 86 Eh3 Ф04 87 Eh8 5k2 88 ФЬ5 2e3 89 Ed8+ Фе5 90 Ed7 2d5 91 M7 2f4 92 Ed2 2ifd3 93 Ee2+ Ф04 94 Ee4+ ФеЗ 95 M8 2if2 96 Eh4 fibdl 97 M5 ^e3 98 JLg6 ^)eg4 99 JLbl ^e3100 Ea4 ^edl 101 Ec4+ Ф02 102 JLh7 2>c3+103 Феб G5e2104 Ф05 2>c3+
344 Secrets of pawn less Endings 475 +/- 476 105 Фе5 £>e2 106 Ec8 ФеЗ 107 Фд5 ^gl 108 Ee8+ ФТ4 109 Ea8 2>f3 110 Ag6 ^g5 111 Ef8+ ФеЗ 112 Ah5 2>fh3 113 Фе5 ЗД2 114 Ee8 ^ge4 115 Ф05 ФТ4 116 Ф<14 Ф§5 117 JLdl ^d6 118 Eg8+! ФТ4 119 Ac2 2>b5+ 120 Фс5 £>сЗ 121 Sf8+ ФеЗ 122 Ее8+ ф<12 123 Af5 2>е2 124 Фс4 2>g3 125 Леб 21е2 126 Ее7 £)g3 127 Ad7 (zugzwang) 2>е2 128 Ab5 ^d3 129 Ed7 ^ef4 130 Лсб ФеЗ 131 Ee7+ Фа2 132 Af3 4kl 133 Ле4 2>h3 134 Ed7+ ФеЗ 135 ЛаЗ ^f2 136 Ee7+ Фа2 137 Afl Фс2 138 Ееб (zugzwang) Фа2 139 Фаз &fd3 140 Ее8 ЗД2 141 ЛЬ5 4kd3 142 Фд4 (at last it seems obvious that White is making progress, but take a look at the posi- tion after White’s 154th move; just looking at the positions, which one would you guess to be nearer the end of the solution?) £kl 143 Лс4 £)fd3 144 Ed8 ®f2145 Afl Фе1146 Ag2 Ф02 147 Ла8 (zugzwang) £te2+ 148 Фс4+ (476) It is interesting to compare this with the position after White’s 124th move. Nothing much appears to have changed... 148...ФеЗ 149 Ef8 ^gl 150 ЛЬ7 ^g4 151 Ee8+ ФТ4 152 Ee4+ ФgЗ 153 Фс5 2>f3 154 Ea4 ^ge5 155 Фдб Af2 156 Ae4 <5)g4 157 Ag6 £)e3 158 Феб ФgЗ (it almost ap- pears that White is back to square one, with the knights having set up a new barrier) 159 Ле8 £)c2 160 ФГ5 2>d2161 Лсб &e3+ 162 Фе5 2>f3+ 163 Фе4 ^c4 164 Eb4 ^d6+ 165 Фаз 2if7 166 Aa4 2>7g5 167 Adi ФГ2168 Ef4 Ag3169 Sf5 Ag4170 Ef6 Ag3 171 Ae2 Ag4 172 Фс4 Ag3173 Ef5 Ag4174 Ef8 Ag3175 Фаз &e5+ 176 Фа2 2>g4 177 Ef5 2>h3 178 Ef3+ ФЬ4 179 Adi 2>e5 180 Ef8 ^g4 181 Ea8 ^hf2 182 Ac2 Ag5 183 Фе2 ^h3 184 Sal ФТ4 185 Ebl ^g5 186 Eb4+ Ag3 187 Af5 ^h6 188 Ac8 ^gf7 189 ФеЗ 2>d6190 Ad7 ^hf5+191 Фаз 192 Ea4 ФТЗ 193 Ag4+ ФgЗ 194 Adi Ф12 195 Ef4+ Ag3 196 Eg4+ ФВ 197 Eg5 ^)c6 198 Ec5 Qtel 199 Фа4 $)ef5+ 200 Фе5 ^)e3 201 Ab3 ^df5 202 Ec8 ^g3 203
Six-Man Endgames 345 И8+ Фе1 204 *f4 ^gfl 205 JLf7 Фе2 206 ±h5+ *d2 207 Ed8+ Фе1 208 Фе4 ^c4 209 *d3 &e5+ 210 ФсЗ *f2 211 Sf8+ *gl 212 Ef5 213 Sg5+ ФТ2 214 JLe8 ^b6 215 Sf5+ Фе1 216 AbS £>e3 217 Ef8 ^bd5+ 218 *d4 *d2 219 Ef2+ *dl 220 ±a4+ Фс1 221 М3 2>g4 222 Sfl+ and Black loses a knight. Rook and Bishop v Bishop and Knight When the attacker has H+JL and the defender JL+Ф, the result depends on the relationship between the bish- ops. The attacker generally wins if the bishops are of opposite colours, while with bishops of the same col- our the general result is a draw. The former is probably more surprising than the latter, since the material dif- ference is only two ‘points’, which is not usually considered enough for a win without pawns. However, the opposite-coloured bishops increase the attacker’s chances of driving the enemy king to the edge of the board and starting a mating attack, and they limit the defender’s possibilities for reaching a draw by means of an ex- change of pieces. Curiously, there are many examples of players agreeing to a draw immediately on entering a H+JL v JL+Ф ending with opposite- coloured bishops. This is surprising, since although it was only recently proved to be a win, even without this knowledge it seems clear that the at- tacker has good practical chances. Taking the same-coloured bishop case first, here is an example of accu- rate defence. Szuk - Belotelov Budapest 1999 (477): This ending is drawn, but it is quite easy for the defender to go wrong. In the diagram Black starts in a relatively favourable position. His pieces form a compact group, his king is near the centre and the attack- ing king is still far away. Black’s task is not to make any concession; in such an ending, even a relatively small concession can easily prove fatal. 1...Фе5 2 JLc4 JLd3 (with Black’s pieces so well placed, he need not fear any exchange of minor pieces) 3 М3 М2 (slowing White down by imprisoning his rook) 4 Sh2 <4)d4 5 Sh4 Фе5 6 ФЬ4 2и15+ 7 Фс5 ЗД4 (for the moment there is no need for Black to take any special action; his pieces are well placed and White has no specific threats) 8 Sh8 £)d3+ (Black takes the chance to check White’s king away) 9 ФЬб £>f4 10 JLc2 Ad3 11 M4 JLg6 (Black’s bishop settles on a new diagonal, in- cidentally stopping the check on e8) 12 M5 £*15+ 13 Фс5 $k714 M4
346 Secrets of Pawnless Endings ^>e6+ 15 ФЬ4 £rf4 (the knight re- turns) 16 Eg8 (White tries to tie Black’s knight to the defence of his bishop before coming in with his king again) Фё4 (Black counters this by forcing White to check on d8 if he wants to advance his king; however, this removes the attack on Black’s bishop) 17 Ed8+ Фе5 18 ФеЗ JLhS 19 Ф<12 JLg4 20 ФеЗ JLe6 (Black is happy to offer the exchange of bish- ops; if White declines, he must re- treat his bishop to an inferior square) 21 Ee8 (this allows Black to force an exchange of minor pieces, but in any case White has made no progress over the previous 20 moves so the draw would have been very likely) 5^d5+ (if White moves his king, then ...£te7 follows, meeting Ee7 by ,.^d6) 22 JLxdS Фх05 (White continues for a while but without any real hope of success) 23 ФГ4 Ф<16 24 Eh8 Фс5 25 Фе5 Дс4 26 Ec8+ ФЬ4 27 Ф<14 Деб 28 Есб JLf7 29 Ef6 JLg8 30 Bf2 ФЬЗ 31 Ef3+ V2-V2. This game provides a good example of how to defend such positions. Black was very careful not to make any conces- sion, and his accurate play earned him a well-deserved draw. (478): It is interesting to see how a computer game compares with hu- man efforts in similar endings. Of course, the computers did not have access to the six-man databases, so in a way they faced the same difficul- ties as a human. The computers did not shine in this example; I doubt if a human would have made the decisive errors which cost Black the game. 478 =/= Gambit Tiger 1.0— Gandalf 4.32g Cadaques 2001 l...£ia2 l...JLe2 is a slightly more natural defence, not making any concessions. 2 Ee4+ Ф<12 3 Bd4+ Фс2 Black’s king has moved slightly nearer the comer, but there are no se- rious problems yet. 4 Фе4 4k 1 Although not yet tipping the posi- tion into a loss, this move is hard to understand. 4...4k3+ 5 ФеЗ JLh5, keeping Black’s pieces flexible and active, is much sounder. 5 ФеЗ JLhS? This error allows White to force Black’s king to the edge of the board, and should lose in 27 moves. 5...4ЛЗ! 6 Ec4+ ФЬ2 7 JLe4 4ia5 would have preserved the draw. 6 JLe4+! ФЬ2 6... ФсЗ 7 Ed5 costs Black a piece straight away. 7 Bd5? This lets Black off the hook. The computers turn out to be even more out of their depth than human beings.
Six-Man Endgames 347 7 Ed2+! was the winning move, and now the win might run 7...ФаЗ 8 Лс15! JLg4 9 JLf7 i.f5 10 Ef2! JLd3 11 JLd5 ЛЬ5 12 Ec2! 2kl3 13 Ea2+! ФЬ4 14 i>d4! (a typical picture of the defender in trouble: the attacker’s pieces are occupying dominant cen- tral positions, and the resulting lack of space makes it impossible for the defender to coordinate his pieces ef- fectively) £tel 15 Eb2+! Фа4 16 Ле4 2>b3+ 17 ФеЗ! £kl 18 Лс2+! Фа5 19 <4)d4! (the knight is stuck offside, so White can move his king towards c5) ФЬб 20 <4)d5 (threaten- ing to play Ла4) £le2 21 Eb4 Фс7 (21 ...2k3+ 22 *d6 Фаб 23 Фс5 Ле2 24 ЕЬ6+ Фа7 25 Веб JLg4 26 ЕеЗ £kll 27 Ее7+ wins for White) 22 Фс5 Jld7 23 Ec4 (Black’s knight has no way back) Ле8 24 Ee4 ЛЬ5 25 Be5 JLg4 26 Ee7+ Фd8 27 Eg7 JLf3 28 Фd6 Фс8 29 Jlf5+ ФЬ8 30 JLg4 with a won H v ft ending. 7... ЛГ7 8 Ec5 &a2 9 Ec2+ Фа1? Moving into the comer both looks wrong and is wrong. After this White can win in a mere nine moves. Ei- ther 9...ФЬЗ or 9...ФаЗ would have drawn. 10Ф<14 Now the win is within the com- puter’s search depth and White closes in for the kill. Black didn’t spot it be- fore making his last move because he had to analyse one ply deeper (his own move) and this put it just beyond the machine’s search depth. 1О...ЛЬЗ11 Bf2 ±g812 Ef8 ЛЬЗ 13 Eb8 Pinning the bishop against the mate on bl. 13...ftkl Black has no choice but to let White’s king in. 14 ФеЗ Ла215 Eb2 2>b316 Be2 ftkl 17 Eel ЛЬЗ 18 Excl+ Фа219 Egl Леб 20 Лс2 Лс4 21 Фхс4 ФЬ2 22 Ле4 Фа2 23 ФеЗ ФаЗ 24 Eal# (1-0) Longest win: Е+Л v Л+4) (Same) Black to play; 64 moves (479): This ending is generally drawn, but the diagram position is certainly very favourable for White. Black’s king is badly placed and his pieces are clumsily positioned. It is in fact quite surprising that it takes White as long as 64 moves to win. 1...Фс8 2 Hf7! ftk3+ 3 Феб! Лg2+ 4 Фс5! 2>e4+ 5 Ф<14! £ri6 6 Eg7! ЛГЗ 7 Фс5! 2>e4+ 8 ФЬ4 Ф<18 9 ЛЬ5 ЛЬ5 10 Ed7+! (a typical ma- noeuvre which occurs a number of times in the main line: White checks the king towards the comer and then gains time by attacking one of Black’s minor pieces with his rook)
348 Secrets of Pawnless Endings Фс8 11 Ed4! £16 12 Ed6! £e4 13 Ee6 М3 14 Ee7! *d8 15 Sd7+! (the same idea again) Фс8 16 Eg7! M5 17 М3! М3 18 М2 *d8 19 M4 JLhS 20 Ed7+! (White checks on d7 a third time; the only difference between this position and the one at move 10 is that White’s bishop is on a4 and not b5 - it isn’t easy to say why this small difference represents such a significant advantage) Фс8 21 Sd4! 2>f6 22 Ed6! ^e4 23 Se6 JLf3 24 Ee7! *d8 25 Ed7+ (a fourth time) Фс8 26 Bf7 M15 27 Sf5! JLg6 28 Ed5! Фс7 29 Ed7+! ФЬб 30 Ed4 (threatening М2) JLh7 31 Ec4 M5 32 M8 (here Black’s position doesn’t appear too bad, but appearances are deceptive; White has taken care not to allow the knight to rejoin Black’s king {here the check on c6 prevents ...£ld6} so Black has very limited options) Фа7 33 Ec7+ ФЬб 34 Ec6+ ФЬ7 35 Фа5! (with the rook domi- nating the knight, White is ready to advance his king) М3 36 Ec2 4^d6 37 Мб+! ФЬ8 38 JLf3 (Black’s king is firmly caught in the comer, and White’s advantage is so great that it doesn’t matter if Black’s knight links up with the king) M8 39 ФЬб M7 40 Ecl Sk8+ 41 Фа5 £>e7 42 М2 ФЬ7 43 M6+! ФЬ8 44 ФЬб M8 45 М5 Мз 46 Ehl £te8+ 47 Фс5 Jtf5 48 Efl 2ie7 49 Eel 2>с8 50 Ее5 М3 51 Eh5 JLg4 52 Eg5 Jtf3 53 M7 2>a7 54 Деб ФЬ7 55 Eg7+ ФЬ8 56 ФЬб 5к8+ 57 Фаб М2+ 58 Фа5 2>а7 59 М5 2>Ь5 60 ФЬб 2>d6 61 Ed7 5к8+ 62 Фа5 £а7 63 Eb7+ and White picks up the enemy knight. Moving on to the case of E+JL v JL+Ф with opposite-coloured bish- ops, although this is a general win the route to victory can be long and complex. We start with a case in which the attacker is initially in a fa- vourable position. 480 +/- P. Nikolic - Korchnoi Tilburg 1987 (480): This position is unfavour- able for the defender thanks to his poor king position, so it is no surprise that the win is as short as 29 moves. The game continued l...JLd4, Now: 1) The most accurate win is 2 Eg2 M5 3 M7 M4 4 Ec2 Фdl 5 М3 Фе1 (White would like to lose a move and put Black in zugzwang) 6 Фf4 7 Фе4 Фdl 8 ФfЗ 2>gl+ 9 Фf4 Фе 1 10 Фе4 M7 11 Мб (the frequent changes of direction by the white bishop are an interesting fea- ture of the winning process; earlier White played M5-f7-b3 and now conducts the reverse tour M3-e6- h3) M6 12 ФdЗ 13 М3 #te5+ 14 Фе4 £if7 15 Eg2 M8 16 i.g4
Six-Man Endgames 349 ЛЬ6 17 Леб ?ki6+ 18 *d3 Л(2 19 Bh2 ЛЬ6 20 ЛИЗ (Black’s knight is now cut off from the defence, so White can move into the final phase) JLd8 21 Eg2 2>f7 22 Ee2+ *dl 23 JLg4 Фс1 24 ФеЗ JLf6+ 25 ФЬЗ 21h6 26 Ec2+ ФЫ 27 Ed2 and White mates. 2) 2 Eb8 (the game continuation - this move is White’s only signifi- cant slip in the ending, slowing the winning process by 13 moves; the rest of the game is played very accu- rately by White) Ф<12 3 JLg6 Фс1 4 ЕЬЗ JLg7 (4...Ф(12 is a better de- fence; after 5 Eb2+ Фс1 6 Ec2+ Фа1 7 Eg2 we reach a position simi- lar to line ‘1’) 5 ФеЗ (exploiting Black’s slip, White’s king moves to a more active position) ЛГ6 (5...£id5+ 6 Фе4 £k3+ 7 Ф(13 ‘SMS only delays matters slightly) 6 ФаЗ £k!5 7 Ле4 2>c3 8 ЛГ5 £kl5 9 EbS 2>c3 10 Ebb ЛЬ8 11 ЛЬ7 £ia2 (11 ...2>bl lasts a bit longer; then White wins by 12 Eb8 Ле5 13 Ee8 JLf6 14 Ee6 JLg7 15 Eel+ ФЬ2 16 Ee2+ ФаЗ 17 Ee7 ЛЬ8 18 Ee8 £g7 19 Bb8 2k3 20 Фс4 ЛГ6 21 Eb3+ Фа2 22 JLg8 2>bl 23 ФаЗ ЛЬ2 24 Eb8+ Фа1 25 Фс2 2>аЗ+ 26 ФЬЗ 2>Ы 27 Еа8+ ^аЗ 28 ЛЬ7 Лс1 29 Еа7 ЛЬ2 30 Hf7) 12 £g8 £сЗ 13 Eh6 Ле5 14 Eh5 15 Eh2 Ле5 16 Eg2 (16 Ec2+ is a little more accurate) Л118 (this short- ens the winning process slightly, but the alternatives are not much better: 16...£й417Ес2+ФЫ 18Ee2^b2+ 19 Фе4 JLd6 20 ЛЬЗ Фс1 21 Ес2+ ФЫ 22 Есб Ле7 23 Лс2+ Фс1 24 ФеЗ wins for White, while 16...ФЫ 17 Ec2 &a4 is the same) 17 Ec2+ ФЫ 18 ЛЪ7 £ia2 19 Ф<12 Фа1 20 Ec8 Лд4 21 Фс21-0. The following example illustrates the practical difficulties involved in winning this ending. Z. Nilsson - Martens Swedish Ch 1967 (481): This position is a win in 49 moves. The winning process in this ending is both complex and lengthy. It typically involves frequent switches of lines of attack by both pieces (for example ...Ef2-f8-a8). 1 ФЬЗ Фаб 2 2>b5+ Феб 3 £к!4+ Фа5 4 2>Ь5 Лс2+ 5 ФЬ4 Ef4+ б 2>а4 Black has played very well up to now and, aided by a couple of small inaccuracies from White, has re- duced the winning distance to 36 moves. б...лаз 6...ЛЬ7 is slightly more accurate, although such small slips are of little practical importance. What is impor- tant is that Black hits on the general
350 Secrets of Pawnless Endings plan of switching the rook round to attack along the queenside files. The main line runs 7 ЛсЗ Ef7 8 Ла1 Ea7 9 ЛЬ2 Eb7+ 10 ФеЗ Ec7+ 11 *d2 (11 ФЬЗ JLg8 12 ФЬ4 Ec4+ 13 ФаЗ Фе4 14 Ла1 ФdЗ and White cannot maintain his position; e.g., 15 ЛЬ2 Ec8) Ec8 12 ФеЗ Eb8 13 Ла1 Ee8+ 14 Фd2 Ea8 15 ЛЬ2 Фс4 (Black has broken the ‘fortress’; the winning procedure now consists of standard elements, such as driving White’s pieces away from each other and forcing the white king to the edge of the board; accurate play is still re- quired, but the main line of resis- tance has been demolished) 16 £k6 Ea2 17 Фс1 Ле4 18 £»е5+ ФЬЗ 19 Jld4 JLf5 20 Фdl (White has formed a new line of defence in which he prevents Black’s king from moving to the centre by controlling the squares along the c-file; however, this barrier crumbles straight away) Ba4 21 ЛЬ6 ФеЗ 22 Лс7 Ea2 23 Фе1 Фd4 (threatening to win apiece by chasing away the bishop with ...Ec2, meeting ЛЬ8 with ...Ec8) 24 2>f7 Леб 25 2>g5 JLg4 (White’s poorly-coordinated pieces cannot put up much more resistance) 26 Л14 (the last chance is a further barrier along the e-file) ФdЗ 27 ФН Ec2 28 JLd6 (White voluntarily gives up the e-file blockade, but after 28 Фgl Ec4 29 ЛЬ8 Фе2 30 ФЬ2 Лс8 31 JLg3 Eg4 32 £lf7 Фf 1 the end comes in any case) ФеЗ 29 ЛЬ4 Фf4 30 2>f7 Леб 31 Лd6+ Фf5 32 £k!8 Лd5 (totally imprisoning the knight; Black just has to bring his king back again to create deadly threats against White’s king) 33 Фе1 Фе4 34 Ле7 Ф(3 35 Лf6 ЛЬЗ (Black can afford to let the knight out since his threats are so strong) 36 £lb7 Ee2+ 37 ФП Леб with a quick mate. 7 ФЬЗ Bf2 8 Ла1 Лс4+ 8...Ef8 is still the correct plan. 9 ФеЗ Eh2 10 ЛЬ2 Ла2 11 Ла1 ЛЫ 12 ЛЬ2 Eh8 Black finally hits on the right idea. 13 ФЬ4 Ec814 ФЬЗ Фе4 However, this move is wrong. The bishop is inflexibly placed on bl with the result that White can repel Black’s attempt to penetrate with his king. 14..JLg6 15 ФЬ4Ес4+ 1бФЬЗ ЛЬ5 17 ЛсЗ Ес8 is the right path, with play similar to the note to Black’s 6th move. 15 2>e6 (482) 482 -/+ A very good defence. 15..^d3 A further step down the wrong path. 15.. .Ad3 1бФЬ4Ес4+ 17ФЬЗ Фd5 18 £k!4 Лg6 19 ЛсЗ Ec8 still wins as in the note to Black’s 6th move.
Six-Man Endgames 351 1бЗД4+Ф<12 Extending the win by 18 moves. Black could still have turned back by 16...Фе4. 17 Ле5 This is the problem. White has found a new defensive plan based on running up the board with his king. Black’s own king is too decentral- ized to combat this plan effectively. Now the win has increased to 54 moves, so in practical play Black’s only hope lies in a major error by White. 17...Ae4 17...ФеЗ 18 £id5+ is awkward as Black cannot play ...Фе4. 18 ФЬ4 ФеЗ 19 2>h5 19 £te6 would spin the win out by a further 12 moves, but by this stage it doesn’t really matter. 19...Ad3 20 2>f6 Bc4+ 21 ФЬЗ Ec5 22 ФЬ4 Ec6 23 Ла1 Ф<12 24 Фс2 25 £®3+ Фс1 V2-V2 With the win now 63 moves away (and only 25 moves left before the 50-move limit is reached), Black de- cided to cease his efforts. However, it is quite unusual for it to be the attacker who throws away half a point by inaccurate play. More often the defender greatly shortens the winning process by a series of small slips. (483): Here the defender is in a relatively favourable situation thanks to his well-centralized pieces. There- fore the win is quite long at 65 moves. 1 Л« Ea5+ 2 Феб Ee5+ 3 ФГб White’s pieces create an effec- tive barrier against the enemy king. Scerbo - Nurkic Cutm 1997 Black’s first task is to break down this barrier. З...Фс4 4 ЛЬ5 Eel 5 Л« Ф<13 6 Лсб Ле5+ 7 ФГ7 АсЗ 8 Ad5 Ее5 Up to here play has been fairly ac- curate on both sides, but now White’s defence starts to weaken. 9 Леб This move allows Black’s king to approach straight away and shortens the winning process by 11 moves. 9 £te7 was better, keeping Black’s king out because ...Фд4 is impossible. However, even after this defence Black can break the barrier down eventually, but it takes some accurate manoeuvring to achieve this: 9...Eg5 10 Феб Фd4 11 2>f5+ Фс5 12 ЛfЗ Bg6+ 13 Фе7 Ea6 14 Ле4 Af6+ 15 Фd7 Ag5 16 ЛЫ Eal 17 Ле4 Eel 18 Ag2 Ee2 19 Af3 Hf2 and after 20 Ag4 Ф65 or 20 Ae4 Ef4 21 ЛЬ1 Ф<15 the first barrier has been breached. 9„.Фе4?! Not the most accurate move. The rook is poorly placed on e5, since
352 Secrets of Pawnless Endings that is the square which should be occupied by Black’s king. Therefore 9...Ea5 is correct, preventing Ad5 and so ensuring that Black can play ...Фе4-е5. 10 2>d6+ ФТ411 £15?! This weak move cuts 20 moves from the winning process. 11 Фе7 is much better, since now that Black’s king has reached f4, White can re- spond by switching his own king to the queenside. After 11...ЛЬ4 12 i’d? Ee2 13 2k4 Фе4 14 ЛП Hf2 15 Леб *d4 16 2kl6 Sfl 17 2>f5+ Фе5 18 2>e3 Sal 19 Sk4+ *d4 Black is making slow progress, but hasn’t yet even managed to break down the first line of defence. H.JZaS Black corrects his error at move 9 and clears e5 for his king. However, he should have put his rook on c5 in- stead, as the next note makes clear. 12Ad7 Now Black’s king can reach e5 under favourable circumstances. 12 ?k7 was better, preventing ...Фе5 for the moment. 12...Фе5 13 £>еЗ Sa7 14 Фе8 Black’s position has improved dramatically as a result of White’s faulty 11th move. Black’s king con- trols the centre while White’s king has been driven to the edge of the board. 14...Ad4 15 415 Ac5 16 ^e7 Sal 17ФГ7 This blunder costs White a piece immediately. 17 £lg8 is best; then Black wins by 17...Sfl 18 £le7 Sei 19 4k8 Ehl 20 Фd8 Ad6 21 Ag4 Eh4 22 Adi Sh8+ 23 Фd7 Eh7+ 24 Фе8 Ac5 25 Фd8 Eg7 26 Фе8 Ф?6 27 ЛЬЗ ЛЬ4 28 Ла4 Ла5 29 ЛЬЗ Вс7 30 £к!6 Ее7+ 31 Ф18 ЛЬ4. 17...Ad6 If the bishop moves, then ...Sa7 wins a piece. 18 Фе8 Sei 0-1 Longest win: Е+Л v A+4) (Opp) Black to play; 98 moves (484): This material balance is generally a win and White’s first task is to disentangle his pieces. This is easier said than done as his king is badly placed. l.~Ae4+ 2 ФЬ8! £к6+ 3 ФЬ7! (White is forced to brave the discovered checks, but none of them do any real damage) 4)b4+ 4 Фа7! 4k6+ 5 Фаб! (a tempo-gaining ma- noeuvre which occurs repeatedly as White tries to activate his bishop) Ad3+ 6 ФЬ7 Ле4 (now White has a free move with the bishop, but he has to stay out of range of possible knight attacks; the best route is Ag7- h6, keeping a safe distance away from the knight) 7 Ag7 (7 Ac3?
Six-Man Endgames 353 £ie7+ 8 Фаб £id5 draws) £lb4+ 8 Фа7 4k6+ 9 Фаб! (the second time round) Д03+ 10 ФЬ7! &a5+ (after 1О...Де4 11 Bb2 White can free his rook right away) 11 Фа7 £)c6+ 12 Фа8! Де4 (now White has a second free tempo to improve the position of his bishop) 13 ДЬ6 (13 Bb2? Фс7 is no good; White must be ready to check with his bishop on f4 before he moves the rook) £te7+14 ФЬ8! £)c6+ 15 ФЬ7! 2>b4+ 16 Фа7! 2>c6+ 17 Фаб! Д03+ 18 ФЬ7! 19 Фа7 ^сб+ 20 Фа8 Де4 21 Eb2 (finally, everything is ready and the rook can be activated) Ф06 22 ФЬ7 £te5+ 23 Фа7 5k4 24 Д f8+ Ф<15 25 Sh2 ДГ5 (White has freed his pieces so now we have a ‘normal’ position; the winning technique is lengthy and difficult, but the basic plan is famil- iar: Black’s king must be forced to the edge of the board and the coordi- nation between his pieces destroyed) 26 ФЬ7 Дв6 27 Фс7 Де4 28 Eh5+ Феб 29 JLg7 ДВ 30 Eh4 £ie3 31 Eh3 ^f5 32 ДЬ2 Де4 33 ЕаЗ Фд5 34 Ba5+ Фс4 35 ДГ6 JLd5 (a typical defensive set-up: Black’s knight and bishop set up a barrier consisting of the squares c6, d6, e6 and e7; if White wants to approach with his king he must either disturb Black’s minor pieces or creep round the edge of the barrier with his king) 36 ФЬб (White decides on the latter strategy) Де4 37 Bc5+ ФдЗ 38 ВсЗ+ ф<12 39 Фс5 JLd3 40 ЕаЗ Де4 (now the bar- rier consists of the squares on the d- file from d3 to d6) 41 Jlg5+ Фе2 42 Ea2+ ФВ 43 Ea4 Фg4 44 Дс1 ФВ 45 Вс4 (485) This is a key zugzwang; Black cannot maintain the barrier. 45,..JLd3 46 Ef4+ Фе2 47 Eb4 ФВ 48 Ф<15 ®e3+ 49 Фе5 (White’s king occupies a powerful central square) £ig2 50 Eb2 JLg6 51 Bb3+ Фе2 52 Eg3 ^el 53 ДеЗ ДЬ5 54 ДЬ6 ДВ 55 Eh3 2>c2 56 ФТ4 ^el 57 Eh2+ £lg2+ 58 Фе5 ФdЗ 59 Да5 ФеЗ 60 Eh8 Ф<13 61 Eb8 Фе2 62 Eb2+ ФеЗ 63 ДЬ6+ ф<13 64 Bb3+ Фе2 65 Фd4 (another step for- wards) Дсб 66 Eg3 ФТ2 67 ЕеЗ Ab7 68 Eh3 ^el 69 ФсЗ+ Фg2 70 ЕеЗ 2>B 71 Be7 Даб 72 Eg7+ ФП 73 Еа7 ДЬ5 74 Еа5 Дсб 75 Ф<13 Фg2 76 ФеЗ (Black’s king is gradu- ally driven to the edge of the board) ФgЗ 77 Bc5 Да8 78 Ec4 Д<15 79 Дс7+ ФЮ 80 Sb4 Да8 81 Sb8 Д<15 82 Bd8 ДЬ7 83 Eg8 (the final phase starts) £)el 84 Д08 Д05 85 Bg5 ДЬ7 86 Eg7 JLd5 87 Ed7 £g2+ 88 ФТ2 &Г4 89 Дс7 Деб 90 Ee7 2x13+ 91 ФеЗ ДГ5 92 Eg7 2>b4 93 ФВ 5k2 94 Eg3+ ФЬ4 95 ФТ4 2x14 96 Дd8+ ФЬ5 97 Фе5 2e2 98 Bg5+ winning the bishop.
354 Secrets of Pawnless Endings Rook and Bishop v Two Bishops Finally we consider Д+JL v 2JL. In this case the attacker requires a fa- vourable initial position in order to have any real winning chances. If the defender’s king is trapped in the cor- ner, then the position may be a win. 486 -/+ Grokhotov - Lutikov USSR Ch, Frunze 1973 (486): The diagram position is very much in the attacker’s favour: White’s king is trapped in the comer, and Black’s pieces are all actively placed. According to the database, it can be won in 23 moves. However, the analysis shows that despite the relatively short distance to the win, it requires complex and somewhat mystifying manoeuvres by Black to achieve success. I cannot claim to understand the winning process fully, but perhaps readers will make more sense of it. 1 ±c8 1 JLe5 is the most resilient contin- uation, although Black can win by l...JLb6 (one of Black’s main ideas is to transfer his bishop to the b8-h2 diagonal under favourable circum- stances; this transfer is usually ac- complished by means of ...JLf2-g3, but it can only be carried out once White has been deprived of annoy- ing bishop checks; note that White cannot allow the exchange of dark- squared bishops since his king is in the ‘wrong’ comer with respect to the remaining bishop) 2 JLa6 JLa7 (a waiting move, but it is hard to see why White’s replies damage his po- sition) and now: 1) 3 i.f4Ec2 4 JLe5*g4 5 JLd6 Jld4 6 Jlh2 Hb2 (by covering b7, Black threatens ...stf3) 7 JLc4 Hd2 (now the threat is ...JLf2 followed by either ...JLg3 or ...4?f3) 8 JLb8 JLf2 9 JLb5 (preventing ...413 because of the reply JLc6+) Hb2 10 JLd7+ ФЬ4 11 JLe5 Se2 12 JLc7 Ec2 (it turns out that there is no good square for the c7-bishop) 13 JLf4 (13 JLe5 JLb6 fol- lowed by ...JLc7 wins for Black; this is decisive in the current position be- cause there is no check on c6, so Black can evade checks from the dark-squared bishop by hiding on f3; 13 JLb8 loses to 13...JLg3) JLg3 (here White has no checks with his dark- squared bishop, so this wins) 14 JLe3 JLd6 15*gl 4>g3! 16 411 413! and Black wins. 2) 3 JLc4 4g4 4 JLa6 Ec2 trans- poses to line ‘Г. 3) 34.h24.c5 (3...4.f2 4 4.e5 de- lays matters since 4...4.g3? may be answered by 5 4.f6+!; Black must be more subtle and break down White’s coordination before playing ...4.f2- g3; it is this phase which is hard to
Six-Man Endgames 355 understand) 4 Лс4 ^g4 5 Лаб (en- suring that ...Ф13 can be met by ЛЬ7+) JLd4 6 ЛЬ7 Л12 7 Лс8+ ФЬ4 8 JLf4 Ee2 9 Лаб Ea2 10 ЛЬ7 Eb2 11 Лсб Ec2 12 ЛЬ7 ЛgЗ 13 ЛеЗ ЛЬ2 (this odd-looking move is designed to prevent i’gl; Black’s threat of ...Si?g3 is more dangerous than it might appear) 14 Лаб (14 Лd4 loses at once to 14...ФЬЗ as the dark-squared bishop no longer cov- ers cl, so White is unable to reposi- tion his bishop to meet...<S?g3 with a check along the b8-h2 diagonal) *g3! (14...Лс7? 15 *gl! draws) 15 ЛЬ5 Bb2! 16 ЛdЗ *f3! 17 Лd4 Ed2! 18 ЛЬб ЛГ4 19 ЛП Ed6 20 Лс5 Bh6+ mates. 1...ЛГ2 The most accurate move. 2Ле5 2 Л14 transposes to the position after 8 ЛГ4 in line ‘3’ above. 2... ЛеЗ (487) This error sets the winning clock back by 24 moves. 2...Be2 is the correct continuation, since White is unable to move the e5-bishop to a square on the h2-b8 diagonal which allows him to give a check after ..^g3. Black wins by 3 Лd6 (3 Лс7 loses at once to З...Ес2; 3 ЛЬ2 ЛgЗ 4 Лgl Ле5 5 Лаб Ec2 followed by ..ФТЗ wins for Black) ЛgЗ 4 ЛЬ4 Ле5 5 *gl *g3! 6 ЛЬ7 Eb2! 7 Ле1+ *g4! 8 Лс8+ &f3! 9 *fl Ebl. ЗЛЬ2 This slip costs 18 moves. These errors are hardly surprising in view of the extremely complex nature of the position. The toughest defence 487 -/+ runs 3 Лf6+ ФЬ5 (3...*g3 4 Ле5+ ФГЗ 5 ЛЬ7+ Фg4! 6 Лс8+ is a little slower) 4 Ле7 Лd4 5 ЛЬ7 Фg4 6 Лс8+ ФfЗ 7 ЛЬ7+ ФГ4 8 Лd6+ Фg5 (it takes some time but Black can eventually restore the excellent piece coordination which he enjoyed in the initial position) 9 Ле7+ Фf5 10 Лd6 Eb2 11 Лс15 ЛЬб 12 ЛЬ7 Ла7 13 Лg2 Фg4 14 ФЬ2 Лd4 15 Лс7 Лс5 16 Ле5 Вс2 17 ЛЬ8 Л12 18 ЛЬЗ+ (18 Лd6 Ле1 transposes to the main line) Ф114 19 Лg2 Ле1 20 Лd6 Фg4 21 ЛЬ8 Ea2 22 Ле5 Bd2 23 ЛЬ8 Ec2 24 Ле5 Ec5 (the time has come to make a decisive move; the rook is to be transferred to the h- file) 25 ЛЬЗ+ ФТЗ! 26 Лg2+ Фе2! 27 Лd4 Ec4 28 ЛЬб Л(2 29 Лd8 Ed4! 30 Af6 Ef4 31 Ле7 Hf7! 32 Лd6 Eh7+ (the rook finally reaches its target) 33 ЛЬЗ ФТЗ 34 Ле5 Eh6 35 Лс7 Лс5 followed by ..^d6+ and Black reaches a won E v Л end- ing. З..Лс2 З...Л12, repeating, is best. The move played costs 12 moves.
356 Secrets of Pawnless Endings 4 Леб EC 5 Лс8 Ed2 6 Леб Ee2 It is clear from these meandering manoeuvres that Black does not know how to proceed. However, the usual scenario is played out: eventually the defender makes a serious error, which shortens the winning process so much that the attacker is able to see his way to victory. 7 Лев This costs 15 moves. 7 JLd6 is better, although Black can still win by 7...Ла7 8 JLf5 *g5 9 ЛЬЗ ЛеЗ 10 Лс8 Ec2 И ЛЬЗ Ed2 12 ЛЬ4 Ее2 13 Лс8 Ес2 14 Ле7+ ФТ4 15 Лd6+ *f3 16 ЛЬ7+ *g4 17 Лаб Лd4, transposing to the position af- ter Black’s 5th move in line * Г of the note to White’s 1st move. 7... ЛС The weakness of White’s previous move is revealed. Here ,.^f2-g3 is very strong. 8 лаб This transposes to the position af- ter White’s 3rd move in the note to Black’s 2nd move. 8..^ g3 9 ЛЬ4 Ле510 *gl *g3! 11 ЛЬ7 Eb2! 12 Ле1+ *g4! 13 Лс8+ <£13! 14 Af5 Eg2+ 15 ФЫ Eh2+ 16 &gl Eh5 0-1 We conclude this section with the longest Е+Л v 2Л win. The position somewhat resembles the previous example and the play is rather simi- lar, although more protracted. (488): 1 Ле5! ЛГ8+ 2 Ф05! ЛП+ 3 Феб! (not 3 Фе4? Лс5!) Ле8+ 4 ФЬб! ЛЬ4 5 Ее4! ЛаЗ б ЕеЗ ЛЬ4 7 ЕЬЗ Ле7 8 Eg3! ЛЬ4 9 Eg4 ЛаЗ 10 ЛЬ8 Лд711 Eg7! ЛГ512 ФЬ5 ЛГ8 488 +/= Longest win: Е+Л v 2Л White to play; 75 moves 13 Eg3! Ле7 14 Ле5 Леб 15 Феб Лс4 16 Eg6 ЛаЗ 17 Лс7 ЛЬ2 18 Eg5! Леб 19 Фс5! ЛЬЗ 20 Eg3 ЛП 21 Лаб Ла1 22 ФЬ4 Ла4 23 Eg4! Лgl 24 ФсЗ ЛЬЗ 25 Eg3! Лев 26 Eg5 ЛЬЗ 27 Фаз ЛЬ2 28 Лс5! ЛГ4 29 Eg7! Ле5 30 Eg8 ФЬ2 31 Лgl+! ФЫ 32 Ла Ла7 33 Фе4! Лс7 34 Eg7 Лсб+ 35 ФеЗ! Лав 36 ЛgЗ ЛЬ6+ 37 Фаз ЛЬ5+ 38 Фс2 ЛеЗ 39 ЛЬ8 ЛП 40 Фа1 Ла4 41 Eg4 Ла 42 Фа2 Лаб 43 ЛГ4 ЛЬ5 44 Eg8 Лс4 45 Eg6 (this puts Black in zugzwang) Ла4 46 Eg4 Лаб 47 ЛgЗ Лс5 48 Eg5 Ла4 49 Фе1 Лсз+ so Фа ла4+ si Фтз Ль7+ 52 Фе2! Лаб+ 53 Фа2 Лев 54 Фе1 ЛсЗ+ 55 Фе2 ЛЬ2 56 ЛЬ8 Ла4 57 Eg6 ЛВ 58 ЕЬ6+ Фй2 59 ЕЬ2+! Фgl 60 ЕЬ4! ЛЬб 61 ЕЬ4 Лс5 62 Ес4! ЛаЗ 63 Ef4 Лев 64 ЕП+ Фё2 65 Еа+! Фgl 66 ФВ ЛЬ7+ 67 ФgЗ! ЛЬ4 68 ЕЬ2! Ле1+ 69 Фg4! Лс8+ 70 ФВ! Лй 71 Ла7+ ФЫ 72 ЕЬ5 Лg6 73 Eg5 and White wins a bishop.
Six-Man Endgames 357 14.2 Two Rooks v Rook and Minor Piece If the minor piece is a knight, much depends on its position. If it is close to the defender’s king, then he has good drawing chances. On the other hand, if it is distant then the attacker has excellent chances, because two rooks control so many squares that the knight is unlikely to make it back. 489 +/= Sepp - Lehtinen Heart of Finland Open 1997 (489): Even though Black’s king is quite well placed, he is doomed by his poor knight position. The white pieces cooperate very well in pre- venting the knight from joining up with Black’s other forces. 1 Bb6+ ФГ7 2 Ec6 (a good move, keeping the knight imprisoned and intending ВсЗ, forcing the knight to the dread- ful square fl; there is nothing Black can do to prevent this) £lfl (the knight goes to its doom voluntarily) 3 Ed3 (threatening to play 4 Bel) Ee2 (3...Eb7 4 Bc2 intends Bf2 or Ef3; White wins after 4...ЕЫ 5 Bf3 i’gb 6 Ecf2) 4 Bd7+ 1-0 because 4...Фе8 5 Ea7 *d8 6 Bh6 Ef2+ 7 Фе4 £>g3+ 8 Фе5 is the end. Note that Black to play draws by 1.. .£lf5!. Longest win: 2B v Е+Ф Black to play; 73 moves (490): 1...ФЬ6 2 Ed6+! ФЬ5 3 Ee4! 2>f2 4 Bf4! ?)h3 5 Bf 7 Egl 6 ФЬ7! Eg5 7 Bdl! Bgl 8 Ed4! Bg5 9 ФЬ8! (threatening 10 Edl Eg8+ 11 Фа7 Egl 12 Eb7+ Феб 13 Edd7) Eg3 10 Edl Фс4 11 Ec7+! ФЬЗ 12 ЕЫ+! Фа213 Ecb7! Bf314 Elb2+ ФаЗ 15 В2Ь6 Фа216 Ba7+ Ba317 Bf7 Ba418 Bf3 Ba319 Efl 2>g5 20 Bfbl Ba4 21 В6Ь2+ ФаЗ 22 Bb3+ Фа2 23 Blb2+ Фа124 Be2 &e4 25 Bh3 Eb4+ 26 Фа8 £ri6 27 Bhl+ Bbl 28 Bhh2! Edl 29 Ba2+! ФЫ 30 Bhb2+ Фс1 31 Ec2+ ФЫ 32 Bab2+ Фа1 33 Eb4 Ed5 34 Есб! Ba5+ 35 ФЬ8! £if5 36 Веб Фа2 37 ФЬ7! ФаЗ 38 Bf4! ФЬЗ 39 ФЬб! Bd5 40 Феб! Ва5 41 Вее4 ФеЗ 42
358 Secrets of Pawnless Endings Ef3+! Ф<12 43 Sb3! Ea6+ 44 Ф<15! Eg6 45 Фе5! ^g3 46 Ea4 Фс2 47 Bf3 Eg8 48 Ea2+! Ф<11 49 Sb3! Ee8+ 50 Фдб 2ie2 51 ВЫ+ 52 Eh2! Ec8 53 ЕЫ+ Ф<12 54 Bb2+! ФеЗ 55 Eh3+! ФТ4 56 Eb4+ Фй5 57 Eg3+ ФТ5 58 Ef3+ Фg5 59 Ee4 Bd8+ 60 Феб Ee8+ 61 Ф<15! Ed8+ 62 Фс4 Ec8+ 63 Фд4 Eb8 64 Ee5+ Ф84 65 Efl Eb4+ 66 ФеЗ Eb3+ 67 Ф<12 &a2 68 Ee8 Eb2+ 69 ФдЗ ФgЗ 70 Ef7 ФЬЗ 71 Eg8 Eb3+ 72 Фс2 winning the knight. If the defender has a bishop, his drawing chances are excellent. Even quite unfavourable positions can be held with accurate play. 491 =/= Duong Thanh Nha - Gofshtein Quebec Open 1997 (491): This position is awkward for the defender. His king is about to be driven to the edge of the board, and his pieces are far away from the king. Nevertheless, it is a draw with accurate play. White is up to the task and makes no mistake. l„JIg2+ 2 ФЬб! Ef6+ 3 ФЬ7! Ef4 4 Ea6+! Фе7 (the rook is now effectively placed, stopping the mate on the h- file, so the next task is to improve the position of the bishop; White’s king is near the ‘right’ comer, so he should normally not be afraid of an exchange of rooks) 5 JLdl Bh4+ 6 Eh6! Ed4 7 Ehl (7 JLb3 is the only other drawing move) Ef4 8 JLh5 (the crisis is now over; White’s pieces have been switched from ineffective positions on the а-file to effective ones on the h-file) ФГ8 9 Eal Eg7+ 10 ФЬ8! Eg5 11 Ea8+! Фе7 12 Па7+! ФТ6 13 Ea6+! Фе7 14 Ea7+ Фd6 15 Ea6+ Фс7 16 JLg6 Vi-Vi. In some cases the extra pair of rooks affords defensive possibilities which do not exist in a pure E v JL ending. 492 =/= Torre - Speehnan London (P&D) 1984 (492): Black might appear to be in trouble here: his king is trapped in the comer, White’s pieces are poised
Six-Man Endgames 359 menacingly and an exchange of rooks would doom Black as his king is in the ‘wrong’ comer. Nevertheless, Speelman demonstrates that the end- ing is a dead draw thanks to stale- mate ideas. 1 Фе8 Hf5 2 Eg4 (2 Ef7 Ee5+! shows one stalemate possibil- ity) JLg7 (this is the point; if White takes the bishop, then Black draws with ...Ef8+, while otherwise White can do little) 3 ИГ7 Ea5 (the bishop is an effective shield and makes both g8 and h7 available in case of rook checks) 4 Ee7 Наб Vi-Vz as White can make absolutely no progress. Longest win: 2H v E+JL Black to play; 54 moves (493): l„JId5 2 Ebl+! Фс4 3 Ecl+! *d3 4 Eh3+! Фа2 5 Eal! Ec5+ 6 Фдб! Hd5+ 7 Феб Ed8 8 Ha2+ Фс1 9 Фе7! Eb8 10 Ehh2! ФЫ 11 Eaf2 Bc8 12 Eb2+ Фс113 Ha2 ФЫ 14 Hhb2+ Фс1 15 Hf2 ФЫ 16 Hab2+ Фс1 17 Ebe2 ФЫ 18 Фдб Есб+ 19 Фе5 Ec8 20 Hfl+ Ecl 21 Hf8! JLhl 22 Hfi2! Egl 23 Eb2+! Фс1 24 ФТ4 Eg8 25 Hfc2+ Фа126 Hh2 Hf8+ 27 ФеЗ Ee8+28 Фа4 Ed8+ 29 Фс5 Ec8+ 30 Фаб Фс1 31 Ea2! ФЫ 32 Hhb2+ Фс1 33 Hf2 ФЫ 34 Eab2+ Фс135 Ebe2 Ed8+ 36 Фс5! Edl 37 Ec2+ ФЫ 38 Eb2+! Фа1 39 Ea2+ ФЫ 40 Efb2+ Фс1 41 Ие2 ФЫ 42 Eab2+ Фа143 Eb6 Ecl+ 44 Фа4 Edl+ 45 ФсЗ Ecl+ 46 Фа2 Есб 47 Eb5! Фа2 48 ФаЗ+ ФаЗ 49 Eel Ed6+ 50 ФсЗ Есб+ 51 Фа4 Фа4 52 Eb8 Ed6+ 53 Фе5 winning material. 14.3 Rook and Two Minor Pieces v Queen This ending occurs relatively often in practice. If the attacker has two knights, then winning chances are minimal since the queen can be given up for the rook. However, there are a few study-like wins, including the following position, which is the lon- gest win with this material. 494 +/+ Longest win: E+2£) v W White to play; 28 moves
360 Secrets of Pawnless Endings (494): White’s pieces are well placed and he can drive Black’s king into the a8-comer. 1 ^с5+! Фа5 (1...Фа7 2 Eh3) 2 2>b7+! Фаб 3 Sk3! Wai 4 Фс5+! Фа7 5 2>b5+! Фа8 6 l5^d4! (this surprising move allows Black a check on a7) Wa7+ (6...Wa5+ 7 Феб Wa7 8 Bf2 trans- poses to the main line) 7 Феб! Wb8 (7...Wg7 8 £de6 Wai 9 Eh4 puts Black in zugzwang, and White wins after 9...ФЬ8 102kl4 Wa5 11 2>d7+) 8 Ea2+! Wa7 9 Ef2! We710 £rie6! ФЬ8 (10...We8+ 11 Фd6) 11 Ehl! We8+ 12 ФЫ>! Wg8 (while White’s rook is on the h-file, Black can only play ...Фс8 and ...ФЬ8; White’s next task is to transfer the move to Black) 13 Eh4 Фс8 14 Ehl ФЬ8 15 Eh2 (zugzwang) Фс8 (with the rook on h2, White can undertake the decisive manoeuvre) 16 Феб (this only works when the rook is on h2 to prevent ...Wg2+) We8+17 Фдб Wg818 Eh3 (to prevent ...Wg3+) We8 (18...ФЬ8 19 Eb3+ Фс8 20 2kl7) 19 Eh4 (a further zugzwang) Wg8 20 Фе7 (and yet another; Black can only move his king) ФЬ8 (now White can win with a series of checks) 21 l5^d7+ Фс8 22 Ec4+ ФЬ7 23 Eb4+! Фа7 24 Ea4+ ФЬ7 25 ^8+ Фс7 26 Ea7+! Фс8 27 £lb6+ and mate next move. The ending E+JL+Ф v W is the most interesting in this section. It is the combination of minor pieces which offers the most winning possi- bilities and is also the one which arises most often in practice. Although the result should be a draw, it is by no means easy to defend, especially if the initial position is unfavourable for the defender. First of all, here is an example of how the defence should be con- ducted. Hrafek - Hiibner Polanica Zdroj (Rubinstein mem) 1996 (495): This position is relatively unfavourable for White. His king is confined near the comer, and the en- emy pieces form a compact group. Nevertheless, the position is drawn, although accurate play is required to prove this. Hiibner makes determined efforts to win, but Hradek doesn’t put a foot wrong. 1..1Н5 2^1+ФЬ5 3 Whl+ Фв5 4 Wh6+ Ф^4 5 We6 (pinning one of the attacking pieces is a typical defensive theme; given the choice, it is better to immobilize the rook as this is the attacker’s most powerful piece) JLg5 6 Фg8 JLf6 7 ФТ8 (White takes the opportunity to extract his king from the comer) ФТ4 (Black unpins the rook, but there is no immediate threat) 8 Фе8 Фе4 9
Six-Man Endgames 361 Wai (it is more difficult to block the queen’s checks if they are delivered from long range) Hf3 10 Wg2 (once again, pinning the rook restricts Black’s freedom of movement) ФГ5 11 Wc2+ Ed3 (although the poten- tial mate on d8 looks dangerous, White can hang on by maintaining the pin) 12 Wbl *g5 13 ®gl+ ФЬб 14 Wh2+ *g6 15 Wg2+ JLg5 16 Wc2 (Black cannot release this pin without exposing his king to disrup- tive queen checks) ФТ617 Ф12+ BI3 18Wb6+ sfcf519 «Ь1+ Hd3 20 ®c2 (the same strategy again) Jlf6 21 Wbl *g6 22 Wgl+ ±g5 23 Wbl Ф115 24 Whl+ Ah4 25 Ф18 (now that the bishop has gone from f6, White’s king can escape from the box) Ed8+ 26 Ed7+ 27 ФГ8 £lg4 28 Wbl (threatening W5+; in fact the 50-move rule had already been reached by this point, and Black abandoned his winning attempts) 4}f6 Vi-1/». 29 Wg6+ forces a stale- mate draw. The following example shows how easy it is to lose a drawn position in this ending, and illustrates typical ideas for the attacking side when a winning position has been reached. (496): The position is still a draw, but it is relatively uncomfortable for White. Black’s pieces form a well- coordinated group, and White’s king will probably be forced to the edge of the board. I®a3 White tries the strategy of pinning the rook. l...JLc7+ 2 Фаб <id8 496 =/+ Sanna - lannacone Italian Ch, Naples 1981 The attacker often prefers to have his king on or near the edge of board, because it reduces the number of di- rections the queen can check (or pin) from. It follows that it is doubly bad for the defender to have his king caught near a comer. Not only is it easier to mate, but the attacker can use his king in the assault while keeping it relatively safe near the edge of the board. We saw in Hradek-Hiibner that if the defender’s king is in a mid-edge position, then the attacker finds it hard to use his king in the at- tack without having it subjected to awkward queen checks. 3№ White can no longer draw using the straightforward methods of check- ing and pinning, and must already play very precisely. 3 We3 is the only other drawing move. 3.. Ле5 4 ФЬ7 Bb5+ The king is forced back to the edge since 5 Феб allows an attractive mate in one.
362 Secrets of Pawnless Endings 5 Фаб Eb6+ 6 Фа7! Ed6 7 Wh8+ Ф<17 8 Wh7+ Фс8 9 ®g8+? An error, since after Black’s reply White has no more checks and must rely on pinning the knight. However, pinning the knight restricts Black far less than pinning the rook, and this method of defence is unreliable. 9 Iffh8+! is the only drawing move; af- ter 9...JLd8 10 Wc3+! *d7 White has no more checks, but can draw by 11 ФЬ7. 9...jLd8! 10 ®g4 Фс7? Black is eager to unpin the knight, but his chosen method blocks in the bishop and allows White a possible draw. 10...Ec6! is the unique winning move, threatening ...JLe7-c5. Then the main line runs 11 Wb4 (threaten- ing mate) (stopping the mate on b7 and threatening mate on a6) 12 Wg4+ Ee6 13 Фа8 (13 Wf5 ±e7! 14 Фа8 transposes) JLe7 (White’s king is firmly trapped in the comer, so Black can afford to take his time freeing his pieces) 14 18T5 Фd7 (the plan is ...JLd6 and then ...Фс7; there is little White can do to prevent this) 15 Ufd5+ JLd6 16 Ufg2 Фс7 (now the threat is ...Ae5) 17 Itfgl Ee8+ 18 Фа7 Феб (threatening 19...JLb8+, followed by ...JLc7+ and ...JLb6#) 19 Wbl Ee7+ 20 Фа8 (although White’s king is clearly very badly placed, Black must watch out for stalemate tricks) ЕеЗ 21 1tfb6+ (the best de- fence, driving Black’s king away for the moment) Фс15 22 Wb2 Eg3 (a very flexible square for the rook; it can move to a3 or g8, and at the same time prevents the check on g2) 23 Фа7 JLe5 (claiming the g7-square for the rook) 24 Ukcl (White would like to leave his queen on the b-file, so as to meet...Феб by Wb6+, but 24 Wb4 loses to 24...Hg7+ 25 Фа8 Egl 26 Фа7 i.d4 27 Wb5 Eg2) Феб (threatening mate in five by means of 25...Eg7+, etc.) 25 Whl+ Фс7 26 18117+ Hg7 (the checks have dried up) 27 Wh6 Ad4 (Black’s pieces are now in optimal positions, with two batteries directed at White’s king) 28 Wb6+ Фd7 29 Wb8 (29 Wh6 Eg3 30 18117+ Феб and Black wins) Hg6 30 18b5+ Hc6 (the rook is pinned again, but this is purely temporary - Black can easily free the rook by ,.^d6) 31 Фа8 Фd6 32 18Ъ8+ Фе7 (although Black’s king has been driven further away, White finds it hard to cope with the possibilities of ...Ea6+ and ...Ec8+) 33 Wh2 (moving outside the range of the discovered check that arises after ...Ec8+) Фd8 (there is no immediate kill, so Black moves in again with his king) 34 Wh4+ Фс7 35 Wh2+ (35 Ufe7+ 4)d7 and 35 18117+ 2kl7 36 Wh2+ JLe5 37 Uh2 £lb6+ 38 Фа7 Hc4 are also hopeless for White) Ed6 (once again Black’s plans are temporarily delayed by the pin on his rook; however, the threat of ...£kl7 followed by ...£lb6+ means that White cannot maintain the pin) 3618T4 ‘5M7 37 Ufcl+ (waiting with 37 Wh2 fails to 37...2>b6+ 38 Фа7 £1c4+ 39 Фа8 ФЬб) JLc5 (a nice pic- ture: Black’s three pieces block all the checking lines leading to his king, while at the same time threatening ...Ea6+ or ...2>b6+) 38 Ш 2>b6+ 39 Фа7 JLd4 (there is no real defence to the threat of ...£)c4+ followed by
Six-Man Endgames 363 ...ФЬб) 40 Wh2 ?k4+ 41 Фа8 ФЬб 42 Wh4 Фаб (now there are too many threats) 43 ФЬ8 Bd7 44 Wh6+ ^Ьб mating. 11 Wc4+? (497) This check allows Black to restore the coordination of his pieces and ex- tract his bishop from d8. The best line is 11 Wb4, threatening mate on b7 (11 Wf5 is the only other drawing move). After 11 ,.^d7 12 ФЬ7 White has repulsed the immediate attack. 11..Лс6! 12 Wd5?! This makes it easy as it allows Black to transfer his bishop to d4 straight away. 12 Wfl is more resil- ient, preventing ...JLf6. However, Black can still win by methods simi- lar to those given in the note to Black’s 10th move: 12...±e7! 13 Wf7 (this pin allows White to slow Black’s plans down considerably) Фd7 14 Фа8 ?к5 15 ФЬ8 Bb6+ 16 Фа7 Веб 17 ФЬ8 Феб 18 Фа7 Фс7 19 Wf4+ Фd8 20 Wb8+ Фd7 21 Wb5+ Есб 22 Wc4 Фс7 23 Wb5 JLf6 24 Wb8+ Фd7 25 Wf4 Bd6 26 ФЬ8 Феб 27 Wcl Bd8+ 28 Фа7 Ed7+ 29 Фа8 Bd3 30 Whl+ Фс7 31 Wcl Ed8+ 32 Фа7 JLd4 (just as in the note to Black’s 10th move, the arrival of the bishop on d4 signals the beginning of the end) 33 Wc4 Ed6 34 Фа8 Bb6 35 Wf7+ ?ki7 36 Wc4+ i.c5 37 Wb5 (a neat try, but unavailing; Black must now transfer the move to White) Фс8 38 Wc6+ (forced) Фd8 39 Wb5 (there is nothing better than to re- turn) Фс7 (putting White in zug- zwang) 40 Wa5 JLb4 41 Wa7+ Фd8 (once again, White is in zugzwang) 42 Wa2 Bb8+ 43 Фа7 JLc5+ and White loses his queen. 12...jlf6 Threatening immediate mate by ...JLd4+ and ...Ea6+, so the reply is forced. 13 Wb5 The continuations 13 Wa5+ Фс8 and 13 Wa2 Фс8 are both hopeless for White. 13...±d4+14 Фа8 Bb615 Wc4+ 15 Wa5 i.c5 16 Wa7+ Фd8 and Black wins. 15.. -±c5 16 Wb5 Here too White resorts to stale- mate ideas, but Black easily counters this last effort. 16...Фд8 The coming check on c7 will be deadly. 17 Wc4 5k7+ 18 Фа7 Eb5+ 0-1 In the following example a couple of inaccuracies suffice to doom White. However, the note to his 16th move shows how even quite unpleasant po- sitions can be saved by good de- fence.
364 Secrets of Pawnless Endings 498 =/+ Pascua - Servat Santa Fe 1992 (498): At the moment it is a draw. 1 Wg8+ There seems little reason to give this and the following checks, which drive Black’s king into a more ag- gressive position. However, no seri- ous damage has been done as yet. 1„,Фе5 2 ®e8+ ФТ4 3 *g2 ФеЗ 4 ФЬЗ ФТ4 5 *g2 HfS 6Wb8+ JLe5 7 Wb4 JLd6 8 ®c4 JLc5 9 W1+ JLe3 10 ®c7+ Ф^4 11 ®d7 The traditional method of defence: pinning the rook. 11 ...2>f6 12 Wg7+ JLg5 13 ®c7 2x15 14 Wg3+?! With this move White starts to make life difficult for himself. 14 W4+ is a much more natural check, since Black lacks a good reply. After 14...2rf4+ (if Black plays 14...ФЬ5 White can happily continue check- ing with 15 W2+) 15 Ф12 White can simply run with his king, escaping from the slightly awkward position near the h 1 -comer. 14...ФЬ5 15 ®h2+ JLh4 Now White’s king and queen are both badly placed and accurate play is necessary to maintain the draw. 16 ®d6? White’s desire to extract his queen is understandable, but now the posi- tion is winning for Black. There were two drawing moves. The first is 16 Фgl, opening the rank for a useful check on e2. Then 16...2>f4 17 Ж12 JLg3 confines White’s king, but there are enough checks to hold the bal- ance; e.g., 18 Ж11+ ФЬ4 19 Ж18+ Фg4 20 Ж11+. The second is 16 Wil, similarly preparing a queen check, this time on dl. Then White’s pieces look awkward, but Black is unable to exploit the situation; e.g., 16...21e3+ 17 ФЬЗ. 16...2te3+ 16..^g4 also wins but more slowly. 17 ФЬЗ?! This mistake loses at once. 17 ФЬ2 lasts longest, and forces Black to play accurately: 17...Hf2+ 18Фgl Hfl+ 19 ФЬ2 JLg5! 20 W6 Фg4! 21 Wc8+ (21 Wg6 Ef5 22 Wg8 trans- poses to line ‘Г below) Hf5! (for the moment the rook is pinned, but Black threatens to improve his posi- tion by transferring his bishop to the b8-h2 diagonal), and now: 1) 22 WgS (White plays to pre- vent Black’s bishop manoeuvre, but he frees the rook) Hf2+ 23 Фgl Hg2+ 24 ФЬ1 Де2 25 Wg6 ФЬ4 (now the bishop is also free) 26 W17+ ФgЗ 27 W>7+ i.f4 28 Wg7+ 2>g4 29 W3+ ДеЗ 30 W12 ФЬ4 (clearing the way for ...Eh3+) 31 W18+ ФЬЗ 32 W12 (White’s position looks dreadful
Six-Man Endgames 365 and it is surprising that the win still presents some obstacles) ЕаЗ 33 Wb2 Ed3 34 Wg2+ ФЬ4 35 Wa8 Ed2 36 18118+ JLh6 37 1&c3 Ef2 (intending ...JLe3 with decisive threats) 38 i’g 1 JLf4 39 ФЫ JLe3 40 Wc2 *g3 41 Wc7+ Hf4 42 Ufe5 2>f2+ 43 *gl JLd4 441&d6 transposes to the posi- tion after White’s 44th move in line *2c’ below. 2) 22 Wd7 JLf4+ 23 *gl JLe5 24 'Неб Jld4 (Black’s pieces are very active, but the win still requires some manoeuvring) 25 ФМ ФГЗ 26 18116 Фе2 (threatening ...Efl+) 27 1&a6+ Ф12 28 1tfa2+ ФГЗ 29 1вЪ2 Ае5 30 Wd2 Ef6 31 1&а2 (now the quickest win is by transferring the move to White) Eh6+ 32 Фgl Eg6+ 33 ФЫ Ef6 (499) and now White is in zug- zwang: 499 -/+ 2a) 34 Ш2 Ec6 35 1812+ Фе4! 36 Ufel Ec7 (stopping a queen check on b7) 37 Wd2 (37 18Ъ4+ ФО, 37 18Ы+ ФО and 371вЪ4+ ФdЗ are all hopeless for White) Ef7 38 18Ъ4+ Ф13 39 Wh4 Ef5 40 1вЪ6 ФТ2 41 Wg5 Фе2 with a deadly check on el to come. 2b) 34 ®a8+ Фё3 35 Wg8+ ^g4 36 Wc4 Ef3 37 ®a6 JLf4 38 Ufc4 JLd2 (threatening ...ЕсЗ) 3918fe2 Ef2 40 Ukd3+ Ae3 and Black wins. 2c) 34 Фgl JLd4 35 1812+ Фg4 36 Ufe2+ ФЬ4 3718112+ Фё5 3818Ъ8 Фg4 39 Wg8+ ФfЗ 40 Wa8+ Фё3 41 18Ъ8+ Ef4 42 ФЫ £2>g4 43 1&d6 2rf2+ 44 Фgl ?ki3+ 45 ФЫ Ф12 46 18Ъ6 JLf6 47 18112+ Фе1 48 Wg3+ £12+ 49 ФЬ2 Eh4+ wins the queen. 17..if3+ 18 Ф112 JLg3+ 0-1 500 +/= Longest win: E+JL+4) v W White to play; 99 moves (500): Bearing in mind that this ending is generally drawn, 99 moves is an amazingly long win. 1 £ia6+! Фс8 2 Ecl+! ФЬ7 3 £c5+! ФЬб 4 Ebl+! Фа7 5 Eal+! ФЬ8 6 £d7+! ФЬ7 7 ЕЫ+! Фа7 8 ±£2+! Фаб 9 £ю5+! Фа7 10 ЕЬ41818+ 11 Фс7! «Ъ8+12 Феб! Wc8+13 ФЬ5 ®е8+ 14 Фа5! 1818 (White’s position al- ready looks very good, and it seems
366 Secrets of Pawnless Endings that if White is going to win then he will do so quite quickly; in fact White has to go through some remarkable manoeuvres to win, including play- ing his king to b2 and later f3) 15 jLd4! Wd8+16 ФЬ5! We8+17 Фс4! Wg8+ 18 ФеЗ Wg3+ 19 ФЬ2 Wg2+ 20 ФаЗ Wf3+ 21 Sb3 Wf4 22 S)e6+ Фа8 23 Eb6 (a typical motif in this ending: White’s pieces form a mutu- ally defensive cluster, freeing the king to undertake the main ma- noeuvres) Wcl+ 24 ФЬ4 Wbl+ 25 Фс5 Wf5+ 26 Фдб Wg6 27 Фе5 Wh5+ 28 ФТ4 Wh4+ 29 ФТЗ Wh3+ 30 Фе2 Wg2+ 31 ФеЗ Wc2 32 «Ф5 Wf5 33 Sf6 Wh5 34 Фе4 Whl+ 35 Фе5 Фа7 36 ФеЗ Wdl (White now seems worse off than at move 14, but as so often with these database posi- tions, intuition is a poor guide) 37 Фе4 Wc2+ 38 Фд4! ФЬ8 39 Веб Wf2+ 40 Фс4 Wfl+ 41ФЬ4 Фс7 42 Фе5+ Фд8 43 JLg3 Wgl 44 ФЬ4+! Фс8 45 Jtf6! Фс7 46 Фе5+! Фд8 47 ФеЗ! Wbl+ 48 Фа5 Wcl 49 ФГ6+ Фс7 50 Фе5+! Фав 51 Фаб! Wb2 (setting up a potential back-rank mate somewhat similar to that in Hradek-Hubner) 52 Ee4 Wbl 53 Ef4 Wa2+ 54 ФЬб Wb2+ 55 Феб Wg2+ 56 Ee4 Wg6 57 ФЬ5 Фс8 58 ФЬ2 Wf7 59 ФГ4 Wg6 60 Eel Wf7 61 Фа2 Фс7 62 ФеЗ Wf5 63 Edl Фс8 64 Фа5 Wf6 65 Eel Wf7 66 Веб ФЬ8 67 ФеЗ Wfl+ 68 Феб Whl+ 69 ‘5Ф4 Wcl 70 Be8+ Фа7 71 Be7+ ФЬ8 72 Eb7+ Фа8 73 Eb5 Wc2 74 Фс7 Wh2+ 75 2>d6 Wh7+ 76 Феб Whl+ 77 ФЬб Wh7 78 Ec5 Wa7+ 79 ФЬ5 Wd7+ 80 Есб! Фа7 81 Фа4+ Фа8 (finally things start to look quite unpleasant for Black) 82 ФГ6 ФЬ8 83 Фе5 Фа8 84 Фс5 Wa7+ 85 ФЬ4 Wgl 86 Фа5 Wel+ 87 ФЬб We3+ 88 Ес5 Wb3+ 89 2>b5 We6+ 90 Фаб! We3 91 £Ф7+ ФЬ8 92 Фе5 Wgl 93 &еб+ Фа8 94 Фс7 Wei 95 Фс8 Фа7 96 Bb5 Wcl+ 97 &с7 mating. Curiously, Е+2Ф v W offers fewer winning chances than Е+Ф+Ф v W. The rook and bishops do not cooper- ate very well to prevent queen checks and cannot form a mutually defensive cluster. In the following example Black did not defend very precisely, but still had little trouble securing the half-point. 501 =/= Jelling - P. Jakobsen Arhus 1989 (501): This position is relatively unfavourable for the defender, as Black’s king is about to be forced to the edge of the board. Nevertheless, he draws without any undue difficul- ties. 1 Eg5+ ФЬЗ 2 ФеЗ Wbl (for the moment there are no threats) 3
Six-Man Endgames 367 Eh5+ Ф82 4 Eg5+ ФЫ (I am not sure why Black voluntarily retreated to the comer, but in this particular position it does no harm) 5 Sc5 (hoping for Фе2 and JLc2 to activate the dl-bishop) &g2 6 Ec2+ ФЬЗ 7 Sd2 Фе4 (an active square for the queen) 8 Ee2 «Ы+ 9 ФЬ2 ®d5+10 Фс1 ®c4+ 11 Ec2 Wb4 (White’s king has been driven back by the checks, so Black is content to make sure his queen stays on an active and flexible square) 12 Ec5 &g2 13 Фс2 We4+ 14 *d2 *b4+ 15 *d3 Wbl+?I (Black gets in a slight tan- gle after this move) 16 JLc2 W1+17 Ф<12 ^f3 18 EeS (all White’s pieces are now active and he has the threat of Ле4, but even so Black is able to defend) Wfl 19 JLe4+ *g3 20 Eg5+ ФЬ4 21 Egl ®c4 (this position shows the problems faced by the at- tacker: because the pieces do not easily defend one another, Black can often gain time by attacking an unde- fended piece) 22 JLf2+ ФЬЗ 23 Eg3+ ФЬ2 24 Eg2+ ФЬЗ 25 Eg3+ ФЬ2 Vi-Vz. This was a draw by the 50- move rule. (502): Here is the longest win with this material. 1...Фа7 2 JLe7! ®c3+ 3 jLc5+! Фа8 4 Jtg4! Wb3 5 Ee8! Wb7+ 6 Фd8! ФЬ8 7 ±d6+! Фа8 8 Jtf5! Wb6+ 9 JLc7! ®d4+10 Фс8! ®g7 11 Ле4+ Фа7 12 Ee5! ®h8+13 Фd7! Wh3+14 Фе8 ®e6+ 15 Фd8! ®g8+ 16 Фd7 ®g7+ 17 Феб Wh6+18 JLd6 ®cl+19 Ac5+ Фаб 20 JLd3+! Фа5 21 Ee2! Whl+ 22 Ee4! ®cl 23 Ec4! Wb2 24 JLd6! ®b5+ 25 Фс7! Wb6+ 26 Фd7! Longest win: E+2£. v W Black to play; 44 moves W7+ 27 Дс7+ ФЬ5 28 JLfl! ®a8 29 Eh4+ Фс5 30 JLd6+ ФЬб 31 Eb4+ Фа5 32 Ec4 ®a7+ 33 JLc7+ ФЬ5 34 Фе7 ®a8 35 Де5 Whl 36 Ecl+! Фа5 37 Лс7+! ФЬ4 38 JLd6+! Фа5 39 Eal+! ФЬб 40 Ebl+! Фа7 41 Лс5+! Фа8 42 Eal+! ФЬ8 43 JLd6+ winning the queen. 14.4 Queen and Minor Piece v Two Rooks This ending is particularly interesting because the general result depends on which minor piece the attacker has. Based on the general principle that queen and knight cooperate better than queen and bishop, one might expect the knight to be the pre- ferred minor piece. In fact, it is the queen and bishop that win, with the queen and knight proving less effec- tive. Note that pre-database endgame theory considered both these endings
368 Secrets of Pawnless Endings to be drawn, so almost all endgame studies based on W+JL v 2E are un- sound. The main defensive idea in both endgames is to double the rooks on the third rank, with the king hiding behind the rooks on the first or sec- ond rank. Against the queen and knight this plan just holds out (al- though accurate defence is required), but the queen and bishop can break through using a combination of di- rect threats and zugzwang. It should be noted that although the queen and bishop normally win, drawn posi- tions can arise when the rooks are able to trap the attacker’s king on the edge of the board. The following practical example is an excellent illustration of the gen- eral winning technique with queen and bishop. Rios - Miguel Lago World U-20 Ch, Tunja 1989 (503): The ending of W+JL v 2E is generally won, but it is by no means easy. In this position Black has already set up the basic defence, which involves doubling his rooks on the third rank. This ‘third-rank defence’ is quite resilient, and can only be broken down by rather subtle manoeuvres. White’s first task is to activate his queen and bishop, and drive Black’s king onto the back rank. Then White can try to force his king towards the key central square e5. l..JZcd6 It is worth noting that two rooks are easily capable of giving perpet- ual check, so here it is important that White’s bishop retains control of e6. If Black were to check on g6, then he would only impel White’s king to- wards the target square e5. 2®c3*f8 2...Ec6 3 WeS ФТ8 4 <S?g3 is simi- lar. 3 ®c8+ Фе7 Black does best to keep his king on the first two ranks. is in- ferior, since Black’s king is driven out from behind the defensive line afforded by the doubled rooks and so White’s king can join in the attack: 4 Wg8+ ФЬб 5 Wh8+ *g6 6 We8+ *h6 7 Bj3+ *g7 8 We7+ ФЬб (8...Ф118 9 Лс2 i’gS 10 <S?g3 paraly- ses Black, and White wins after 10...Eb6 11 *g4 Ebd6 12 *g5 Eb6 13 JLb3+) 9 JLc2 Bfe6 10 Wh7+ *g5 11 *f3 Баб 12 Wg7+ ФЬ5 13 Wf7+ *g5 14 Ш+ *h5 15 JLb3 and Black loses material. 4 W7+ Фе8 5 ±c4 White takes a safety-first attitude and prevents the check on d3 before advancing his king. 5...ФГ8
Six-Man Endgames 369 5...Bd2+ 6 ФЬЗ doesn’t help Black as the rooks soon have to defend one another. 6 ФйЗ Bg6+ Black decides to check on g6 and allow the white king to e5. The alter- native and somewhat tougher defence is 6...Ed2, trying to maintain a rook on the f-file to cut off White’s king. In this case White resorts to zug- zwang in order to make progress. The main line runs 7 ФЬ8+ i’g? 8 Wg8+ ФЬб 9 Ф118+ *g6 10 Фе8+ i’g? 11 Фе7+ i’gfi (now that the rooks are disconnected, Black has no choice but to advance his king) 12 Фа7 (note how the bishop and queen are employed to prevent the maxi- mum number of rook checks: d3, d4 and gl are all covered, which means that if Black abandons the potential check on g2, White will be able to advance his king to g4) and now Black is in zugzwang: 1) 12.. Jtf5 13 ФеЗ (thanks to the threat of JLd3, Black is now forced to check on g5, but then his third-rank defence has completely broken down) Eg5+ 14 sfcfS Egg2 (with Black’s rooks cut off from his king, White can move his own king up the board to join the attack) 15 JLd3+ ФТ6 16 Фе4 Eh2 17 *d5 *f7 18 *d6 Ehe2 19 Wg3 Eg2 20 W4+ *g7 21 Фе7 Edf2 22 Ж16 Ef7+ 23 Фе8 Eff2 24 Фе7+ and White wins. 2) 12..JZdd6 13 &g4 (making use of the fact that d4 is covered) Ed2 (Black returns to set up a check on g2, but the extra tempo gives White new attacking possibilities) 14 JLg8 Eg2+ and now: 2a) Care is still necessary, since 15 *h4?, for example, would allow Black to draw. This is an instructive mistake because allowing a perpet- ual check is a typical error in this ending. In this case Black even has two ways to draw. 15...Eh2+ 16 i’gS Eh5 ! is the simplest method, threat- ening perpetual check. 17 ФеЗ is the only move to stop the immediate draw, but after 17...Eff5 Black re- news the threat, and this time there is no defence since White has only one check. In this line Black was able to exploit the odd position of White’s bishop. The second drawing line is 15...Ef4+ 16 ФЬЗ Efg4!; Black sets up two possible perpetual checks, one with each rook, and White can- not counter both. 2b) 15 ФЬЗ wins, however. After 15...Hgf2 16 JLh7+ ФЬб 17 i.e4 White sets up decisive threats against Black’s king. One line runs 17...Ef7 18 ®d4 E7f6 19 ®d7 Ef7 20 ®g4 E7f6 21 ®g8 E2f4 (covering the mate on h4, but the attack is too strong) 22 ФЬ7+ *g5 23 ®g7+ ФЬ5 24 JLg6+ i’gS 25 Xd3+ and White wins. 3) 12..JZd8 13 £g4 Ed2 trans- poses to line ‘2’. 4) 12..J3fd6 connects the rooks, but they are too far away from Black’s king to be really effective. White wins by 13 JLa2 (the bishop moves to a more flexible square on the a2-g8 diagonal, which permits a switch to bl; note that checking does not help Black, as once the white king arrives on e5 he has no more checks) Ed7 14 ФеЗ Edl (Black cannot pin the queen
370 Secrets of Pawnless Endings because of the counter-pin) 15 ЛЬЗ Bld4 16 We6+ *g7 17 Wf5 (White closes in for the kill) Bd3+ 18 ФГ4 Bd2 19 Фе4 (threatening, for exam- ple, 20 Леб) Be2+ (19...Be7+ 20 Ф(3 Eee2 transposes) 20 ФГЗ Eed2 (2O...Bdd2 21 Wg5+ ФЬ7 22 JLg8+ ФЬ8 23 Лс4 Bf2+ 24 ФеЗ) 21 Wg5+ *f8 (21...ФЬ7 22 Лс2+ ФЬ8 23 Wh6+) 22 W6+ Фе8 23 Лс2 win- ning material. 7 ФТ4 (504) 504 +/- 7..JIgf6+ 7...Edf6+ is more resilient, but White wins by 8 Фе5 Фе8 9 ЛЬ5+ Фf8 10 JLd7 Bd6 (or 10...Bh6 11 Wd8+ Фg7 12 ЛГ5 ФТ7 13 Ле4 Bh5+ 14 Фd4 Фg7 15 Wc7+ *f8 16 Wd7 Bhh6 17 Л<15 Ef4+ 18 Фе5 Ehf6 19 Леб Efl 20 Wh7 Фе8 21 Wg8+ Фе7 22 Wg7+ Фе8 23 Лd7+ Фd8 24 ЛЬЗ) 11 Wd8+ ФП 12 We8+ Фg7 13 Bj7+ Фg8 14 Лс8 Bb6 (14...Egf6 15 Лf5 is essentially the same) 15 Лf5 Bgf6 16 Фd4 (this looks odd, but White wants to play ЛЬ7+ followed by Ле4 and Л<15, and first he must prevent annoying rook checks by Black on e6 and d6) Bbd6+ 17 ФеЗ Bb6 18 ЛЬ7+ (now White can execute the decisive ma- noeuvre) ФЬ8 19 Ле4 Фg8 20 Лс15+ ФЬ8 21 Фе4 (with his bishop better placed, the king returns to e5) Ea6 22 Фе5 Bad6 23 We8+ Фё7 24 Wg8+ ФЬб 25 Лf7 with the decisive threat of Wh8+ and Wh5#. 8Фе5 Now Black is placed in immediate zugzwang. 8...Фе8 8...Bb6 9 Wd8+ Фg7 10 Wg8+ ФЬ6 11 Лf7 and White wins. 9 ЛЬ5+ ФТ8 10 ®c8+ Ф87 10...ФТ7 11 We8+ Фg7 12 Лс4 ФЬб 13 Wg8 ФЬ5 14 Wg3 ФЬб 15 ЛГ7 Bb6 16 Wg8 wins for White. 11 Лс4 Фg6 12 ®g4+ ФЬб 13 ЛП ВЬб 14 ®g8 The threat of WhS-t- and WhS# is also decisive here. 14..JIg6 15 Лxg6 Exg6 16 ®d8 Фg7 17 ФТ5 ФЬ7 18 ®e8 Bg7 19 ФТ6 Egl 20 ®d7+ ФЬ8 21 ®c8+ 1-0 An extremely instructive ending which was very well conducted by White. The following study is one of the few sound compositions with 'Й'+Л v2E and explores the possibility of the rooks achieving a positional draw by confining the attacking king to the edge of the board. (505): Although Black’s position looks very promising, it turns out that he cannot effectively release his king from the а-file. Note, however,
Six-Man Endgames 371 505 =/+ Prokop, 1943 212 Endgames that this problem is largely due to the poor position of Black’s bishop. If the bishop starts on d6, for example, Black wins quite quickly. 1 БесЗ! The key square for this rook, set- ting up a later perpetual check with the other rook on a3 and ЬЗ. 1 Eed3? is wrong owing to l...Wg2+! 2 ФЫ Wfl + 3 Фа2 We2+ 4 ФЫ JLb2 5 Eh3 JLd4 (now Black has transferred his bishop to an active square and so wins) 6 Ehd3 Ле5 (zugzwang) 7 Фс1 i.f4+ 8 ФЫ Wel+ 9 Фа2 JLe5 10 ЕаЗ+ ФЬ4 with a quick win. l...Wd2+ After l...JLb4 2 Ed3! Wc4 3 Eh3 ФЬ5 (3...We2+ 4 ФЫ), 4 Ehc3! is the key move. Black can get his king to the b-file but no further. White cannot be forced into zugzwang be- cause his king always has a move, and Black can’t achieve anything while his bishop is pinned. After 4...We2+ 5 ФЫ Wd2 6 Фа1! Black has not made progress. 2 ФЫ! jLd6 If Black could transfer his bishop to the long diagonal then he would win, but this is impossible because White gives perpetual check on a3 and b3. Both 2...±cl 3 Ed3! Wei 4 Фс2! Wfl 5 Hd4+ and 2...JLb2 3 Exb2 Wxc3 4 Ea2+ are drawn. ЗФа1! The only move. White’s rooks are perfectly placed and he should not touch them. Black wins after 3 Ed3? Wel+! 4 Фс2 Wf2+ 5 Фdl (5 Ed2 Wf5+ 6 Edd3 JLe5 7 ЕаЗ+ ФЬ5 8 Eab3+ Феб is a standard win) Wfl+ 6 Фс2 i.e5 7 ЕаЗ+ ФЬ5 8 Edb3+ Фсб! 9 Ed3 Wf2+. 3...±b4 4Ed3 When the bishop is on b4 there are no direct threats, so White can afford to move this rook away. 4...Wcl+ 5 Фа2! Wc2+ 6 Фа1! Де7 7 Edc3 ±f6 This allows an immediate draw but Black cannot make progress in any case. If 7...Wdl+, then 8 Фа2!. 8Ea3+ 8 Eb4+ also draws. 8...ФЬ4 9 Eab3+ Wxb3 With a draw. (506): 1 ФЬб! E7d2 2 Wg8! Eb2+ 3 Фс5! Ec2+ 4 ФЬ4! Ebl+ 5 ФаЗ! Ec3+ (Black is aiming to cut off White’s king by doubling rooks on the b-file; in general, such a defence is sufficient to draw, but there are certain cases in which White can win) 6 Фа4! (6 Фа2? ЕсЬЗ! is an im- mediate draw as 7 JLe4 is forced to prevent perpetual checks from the bl-rook, but then 7...E3b2+ 8 ФаЗ
372 Secrets of Pawnless Endings 506 +/ Longest win: ФчА. v 2E White to play; 85 moves Eb3+ 9 Фа4 Eb4+ 10 Фа5 Exe4 is safe as White cannot pick up a rook) Ecb3 (this is an unusual situation in which White can win in spite of Black’s second-rank cut-off; how- ever, he has to give precisely the right checks) 7 ФЪ8+! (7 Ш8+? Фе5 is a draw; White has to give his checks from the right-hand side of Black’s king) Феб 8 ФЪ6+ (because of the various forking possibilities, Black’s king is essentially confined to dark squares and so can be driven towards the queenside) Фе5 9®g5+ Фд410 ®f4+ ФсЗ 11 ФеЗ+ Фс412 Ae2+Фд513 ®g5+(the same strat- egy again, forcing Black’s king to the left) Фд414 ®f4+ Фс515 Фе5+ Фсб 16 Af3+ Ф07 (White has im- proved the position of his queen and bishop with gain of time) 17 Ф05+ Фе718 Фс5+ ФТ619 ®d6+ ФГ5 20 Adi Sb4+ 21 ФаЗ! Slb2 22 Ac2+! Фg4 23 Фе5 ФЬ4 24 Adi Sbl 25 ®g7 Slb2 26 ФЬ6+ Ag3 27 Wg5+ Af2 28 Фе5 Sbl 29 ФЪ2+ ФеЗ 30 Ac2 Elb2 31 ®g3+ Ad4 32 ФГ4+ ФсЗ 33 ФГ5 Ad4 34 Фе4+ Фс5 35 Фе5+ Фс4 36 ФеЗ Sb6 37 Фе4+! Фс5 38 Фе5+! Феб 39 Аа4+ ФЬ7 40 Фе7+ Фаб 41 Adi Eb7 42 ФеЗ S7b6 43 Ае2+ Фа7 44 Ас4! Sbl 45 Ф04 ФЬ7 46 Ф07+ ФЬ8 47 ®d8+! Фа7 48 Фс7+ Sb7 49 Фа5+! ФЬ8 50 Фd8+ Фа7 51 Ad5 (now Black is forced to release his bind on the b- file) Sal+ 52 Aa2 Scl 53 Фд4+ ФЬ8 54 ФЬ8+ Фа7 55 Ad5 Sbc7 (Black instead opts for the standard third-rank defence, but we already know that this defence is not suffi- cient to draw) 56 Фа4 Фаб 57 Фа8+ Sa7 58 Фе8 ФЬ6+ 59 ФЬ4 Sbl+ 60 ФсЗ Scl+ 61 Фд4 Sac7 62 Фа4 S7c5 63 ФЬ4+ Фаб 64 Фе4 Slc2 65 ФТ4 Е2сЗ 66 ФЬ7+ Фа5 67 Фа7+ ФЬ5 68 Af7 Sc7 69 Ае8+ ФЬ4 70 Фа4+ Фс5 71 ФЬ5+ Ad4 72 Ad7 S3c5 73 Фаб Ес4 74 Аеб Е4с6 75 Фа4+ ФсЗ 76 ФЬЗ+ Ad2 77 ФЬ2+ Ес2 78 ®d4+ Фс1 79 ФеЗ+ ФЬ2 80 ФЬЗ+ Фс1 81 ФаЗ+ ЕЬ2 82 Af5 ЕсЬ7 83 ФсЗ+ and White wins. The following example shows how to defend with two rooks against a queen and knight. (507): The ending Ф+Ф v 2S is in general a draw. The basic method of defence is to double the rooks on the third rank and keep the king on the first two ranks. In Ф+А v 2S, this ‘third-rank’ defence can eventu- ally be broken down, but with a knight it holds out. However, accu- rate play is required; in particular, the defender must make sure that his
Six-Man Endgames 373 507 =/= Nouro - P.H. Nielsen Copenhagen (Politiken Cup) 1996 king is not forced towards one of the comers. If the defender is unable to set up a third-rank defence, then he generally loses. In the diagram posi- tion, the attacker has quite a favour- able set-up because his king has advanced as far as possible, and his remaining pieces are in active posi- tions. However, with correct defence it should still be a draw. 1 Edc3? This is a mistake because it allows a check on d2, which forces White’s king towards the al-comer. White must try to keep his king in the rect- angle cl-c2-f2-fl, hence 1 Ebc3! is the only drawing move, when White need not fear the check on b2 as it drives his king towards the centre. After 1 ,.>al+ (1...2>e5 2 Ee3+ *d4 3 Eh3) 2 Фс2 Wa4+ 3 Фс1 Wa2 White must find the unique drawing move 4 Eb3! but then Black cannot make progress. 1... Ш2+ 2 ФЫ ®dl+ 3 Фа2 <5M2?I This error lengthens the win by 35 moves. 3..>e2+ 4 Фа1 Wel+ 5 Фа2 W2+ 6 Фа1 '&&!+ would have been immediately decisive. 4Eb4+ The toughest defence. 4...Ф<15?! And this costs a further 48 moves. 4...Фе5 5 Ee3+ *f6 6 Ec3 Wgl 7 Ed3 Wf2 8 Eb5 Ste4+ 9 ФаЗ Wc2 10 ЕЬЬЗ Фе5 eventually wins as White does not have a true third-rank de- fence (in which the king is on the first or second ranks and somewhere near the middle of the edge). In this position White would draw if his king were on el, but on al he again loses. 5 Eb2?! A really bad move, reducing the winning length from 87 moves to 9. 5 Ed3+ Феб 6 Edd4 We2 7 ФаЗ We5 8 Фа2 Wa5+ 9 ФЬ2 £}f3 10 Ee4+ Фd6 eventually wins for Black (in 82 more moves). In this case White has a ‘fourth-rank defence’, but such a defence can be broken down, although it requires a great deal of time and accurate play by the attacker. 5...Ш4+ 6 ЕаЗ ®c4+! 7 Фа1 White’s defence has been reduced to a shambles. His rooks are discon- nected and his king is trapped in the comer. 7..,Фе4 8 Ea7 2>b3+ This wastes some time. 8...Ж14 9 Ee7+ Фf5 is a bit quicker. 9 Фа2 (508) After 9 Exb3 Wxb3 10 Ee7+ Фf5 11 Ee5+ Фf6 12 Ef5+ Фе7 13 Ee5+ Фd6 there is no perpetual check.
374 Secrets of Pawnless Endings 508 9...4V5+ It would have been better to return to d2 and win as in the note to Black’s 8th move. 10 ФаЗ 10 ФЫ lasts somewhat longer, but loses to 10...£ki3 11 Ee7+ i>d4 12 Ebb7 2>b4 13 Eed7+ ФеЗ 14 Bdc7 2k6 15 Фа1 Wa6+ 16 ФЫ Wa4, when White is in zugzwang. 10...Wcl Each time Black has a quick kill he misses it. 10...Wc3+11 Фа2 £k!3 is instantly decisive. 11 Фа2 Фд4 A further five moves down the drain. 12 Bb4+ ФеЗ 13 Eb3+ Фд4 13...Фс4 is correct since the con- tinuation 14 Eb2 Wdl 15 Bc7 Wd5 16 ФЫ ФdЗ 17 Eh7 Wf5 18 Ebh2 ФсЗ+ 19 Фа2 Wd5+ 20 ФЫ 2kl3 is decisive. 14 Eb4+ Фаз Black should have repeated. By now the winning length has crept up to 21 moves. 15 ЕаЗ 15 Ea8 is tougher, but Black can win by 15...Wc2+ 16 Eb2 Wc4+. Now: 1) 17 ФаЗ £kl3 18 Ed8+Фе4 19 Ee8+ ФГЗ 20 Ef8+ ФgЗ 21 Ebb8 (an ‘eighth-rank’ defence is not very effective!) Wc3+ 22 Фа4 (White’s king is too exposed) &c5+ 23 ФЬ5 2ki7 24 Bg8+ ФГ4 25 Bbc8 Wb3+ 26 Феб 21e5+ 27 Фd6 Wd3+ 28 Фс5 Wc4+ 29 ФЬб Wb4+ 30 Фа7 (30 Фаб 2ki7) Wa5+ 31 ФЬ7 Wb5+ 32 Фа8 £k!7 and Black wins. 2) 17 ФЫ We4+ 18 Ec2 Фd4 19 Ed8+ ФеЗ! 20 Eb8 Whl+ 21 ФЬ2 Wd5 (Black’s pieces are all well cen- tralized and White’s rooks lack coor- dination, so the end is not far off) 22 ФЫ We4 23 Ebb2 Ф44 (threatening ...2kl3) 24 Bb8 Ste6 25 Bh8 Ф15 (Black only has to avoid random tac- tics and the threat of ...£kl4 will be decisive) 26 Be8 Фf6 (threatening ...Ф(7 followed by ...£kl4) 27 Фс1 Wel+ 28 ФЬ2 We5+ 29 Фс1 Wg5+ 30 Ed2 Wgl+ 31 ФЬ2 Wb6+ and the e8-rook falls. 15...Wc2+ Now Black makes no mistake. 16 Eb2 Wc4+ 17 Фа1 Or 17 ФЫ 2kl3 18 Eb7 Wcl+ 19 Фа2 Wd2+ 20 ФЫ Фс4 21 Ea4+ Фс5. 17...£kl3 18 Ebb3 Wcl+ 19 Фа2 Wd2+ 20 ФЫ Alternatively, 20 Фа1 £1Ь4 21 Ea8 Wcl+ 22 Ebl Wc3+ 23 Eb2 2kl3. 2O...Wdl+ 0-1 (509): Given that this material balance generally leads to a draw, it is perhaps surprising that White is
Six-Man Endgames 375 509 +/- Longest win: 'ЙЧ-Ф v 2E Black to play; 153 moves winning in the diagram position. His king and knight are far away, and it is Black’s turn to move. However, Black’s rooks should be doubled on the third rank and not the first, and this position only emphasizes the fact that if Black is unable to reach a ‘third-rank’ defence then he usually loses. The winning process is long and fairly mystifying. l..JZadl+ 2 Феб! (for the moment Black cannot switch a rook onto the third rank) Egel+ (2...Sd3 3 Bt7+) 3 ФГ5! Ed5+ 4 i>g6! Egl+ 5 ФГ7! Efl+ 6 Феб! Ed3 (Black has removed his gl-rook from its exposed square and now tries to set up a third-rank de- fence) 7 ®a8+ ФЬЗ 8 Wb7+! ФсЗ 9 ®сб+ id210 ®g2+! Фе111 ®e4+! id2 12 *Ь4+ Фе2 13 Wb2+! Ed2 (White’s series of checks finally forces Black to abandon his plans to double rooks on the third rank; if 13...Фе1 then 14 Wbl+ Фе2 15 i&c2+ is similar, but even less fa- vourable for Black) 14 We5+ Фdl 15 Wh5+ Фс116 Wg5 Eel+17 ФП Efl+ 18 Фg7 Фс2 19 2>h6 (White finally starts to activate his knight) Edf2 (this might seem an ideal time to set about doubling rooks on the third rank, but 19...Ef3 20 2rf5! Bdd3 fails to 21 2kl4+ Exd4 22 Wg2+) 20 ^g4! Bf7+ 21 Фgб Ef8 (Black has managed to double his rooks, but this is not a true third-rank defence be- cause the kings are the wrong way round; however, this set-up is quite resilient since it is very difficult for White to activate his king; it is ex- tremely hard to decide precisely when White can win, since this depends on the exact position of the other pieces; on top of this, reciprocal zugzwangs make an appearance) 22 WcS+I ФЬЗ 23 ®d5+ ФЬ2 24 ®d4+ ФЬЗ 25 ФЬ5 Elf5+ 26 ФЬ4! Ef4 27 ®c5 E8f7 28 ФgЗ Hf3+ 29 Фg2! E3f5 30 Wb6+ ФсЗ 31 ®d6 Ef8 (570) 510 +/= 32 Ф112! (incredibly, this mysteri- ous move, which gives rise to a re- ciprocal zugzwang, is the only one to win; the main point is that Black was
376 Secrets of Pawnless Endings threatening to draw by 32...E5f7 33 Фс5+ *d2 34 Ж14+ Фе2 35 Wb2+ Фе1 and now White cannot move his knight because of ...Ef2+) ФЬЗ (now 32...Е5П 33 Фс5+ *d2 34 Wd4+ Фе2 35 ФЬ2+ Фе1 36 Фс1+ Фе2 37 Фс2+ Фе1 fails because after 38 £le3 Ef2+ White has 39 £lg2+, win- ning) 33 ®d3+ ФЬ4 34 ФеЗ! Bf2+ 35 *gl E2f7 36 Фс4+ ФаЗ 37 ФсЗ+ Фа4 38 ФЬ2 (once again the king moves to h2, but this time the reason is more transparent - White had to counter Black’s threat of ...Eg8+) Ef2+ 39 ФЫ E2f7 40 Wb2 (Black is now in zugzwang, although this one is not reciprocal) Ef6 41 Фа2+ ФЬ5 42 Фс4+ Фа5 43 Фс5+ Фа4 44 2>g4 Ef5 45 ФЬб Eh8+ 46 Фg2 Ehf8 (White has made some progress in driving Black’s king to the edge of the board, but he has still not solved the fundamental problem of bringing his knight into the attack without being mated by Black’s rooks; further subtle manoeuvring is required to achieve this) 47 ФЬ2 Eh8+ 48 ФgЗ Ehf8 49 Wb7 (the threat is to nullify Black’s rooks by VUgl and then play 4ie5) E5f7 50 Wb2 an 51 ФЬ2 (a reaction to Black’s threat of ...Egl+; it is aston- ishing how often White’s king visits h2) Elf7 52 Фg2 (Black is again in zugzwang) Фа5 53 ФЬЗ Eh7+ 54 ФgЗ Ehf7 55 ФЬ4 Efl 56 Wb3 Elf4 57 ФаЗ+ ФЬ5 58 ®d6 Фа4 59 ФЬ5 E4f5+ 60 ФЬб ФЬЗ 61 Ш2! Eh8+ 62 Фg7 ЕЫ8 63 2>е5 (at last the knight joins the attack) E5f6 64 ФЬ7 Ef4 65 E8f7+ 66 Фg6 ФаЗ 67 Фс2 Ef2 68 ФсЗ+! Фа2 69 2ie5! Ef8 70 Фа5+ ФЫ 71 Wb6+ Фа2 72 Фаб+ ФЫ 73 ШЪ7+ Фс2 74 Фе4+ ф<12 75 ®d4+ Фе2 76 Ф03+ Фе1 77 Wbl+ Фе2 78 Фс2+ ФП 79 Ж11+ Ф^2 (it might seem odd to give this series of checks driv- ing Black’s king to the kingside, but one must bear in mind that the nor- mal third-rank defence draws pre- cisely because it prevents the white king from penetrating to aid in the at- tack; here White’s king is already be- yond the barrier formed by Black’s rooks; once again the precise details are rather complex) 80 £lg4! E2f3 81 Wd4! ФgЗ 82 ФеЗ! E3f7 83 Фе4 ФГ2 84 ®d3 Ef6+ 85 ФЬ5 Ef4 86 Фg5 E4f7 87 £lg4+ Фе1 88 Wbl+ Ф<12 89 Wb2+ Фdl 90 £*3+ Фе191 Фе5 Ф<12 92 $k4+! ф<13 93 ®d5+! Фс2 (Black’s king has been forced back to the queenside, and now both queen and knight are well placed to continue the hunt) 941Brd2+ ФЬЗ 95 ШЗ+ ФЬ4 96 £«5! ЕЛ 97 ФеЗ E8f5+ 98 Фg6 ФЬ5 99 ®d3+ Фс5 100 ®d8 Ef6+ 101 ФЬ7 E6f5 102 Ф<12 (this is a key zugzwang posi- tion; Black’s rooks are dominated on the f-file by the possible knight forks on d3 and d7, and so Black switches to a fourth-rank defence) Eh5+ 103 Фg6 Eff5104 ФсЗ+ ФЬ5105 ФЪЗ+ Фаб 106 Фа4+ ФЬб 107 ФЬ7 108 ФЬ4+ Феб 109 ЗД6 Ehg5+ ПО ФГ7 (the king tries to make its way to the queenside to help with the attack) Ee5 (Black strives to prevent this) 111 Фс4+ ФЬ7112 чЛе4 Egf5+113 Фg6 Eh5114 ^d6+ ФЬб 115 $k8+ Фа5 116 2ie7 Eb5 117 ФсЗ+ Фа4 118 5к6 Ebg5+ 119 ФТ7 ФЬ5 120
Six-Man Endgames 377 Фл7 (now White’s king has been definitely released from its kingside cage and is free to move across) Фа4 121 Wb2 Ec5 122 Феб Bce5+ 123 Фдб Eb5 124 ®c2+ ФаЗ 125 Wc3+ Фа2126 4кб (threatening ^Ь4+, so Black has to abandon his fourth-rank defence) Bh6+ 127 Фе7 Bh7+ 128 ФТ6 Ehb7 (now Black has a sec- ond-rank defence, but as we know, this can eventually be broken down) 129 &e5 Eb8 130 Фе7 E8b7+ 131 Феб Eb8 132 5k4 Ee8+ 133 Фдб Ed8+134 Феб Ebb8135 ®c2+ Фа1 136 Фс5 ЕЬЗ (a neat stalemate at- tempt) 137 W5 (threatening W6+; 137 Wxb3? Ed5+! only leads to a draw) Ebb8 138 ®e5+ Фа2 139 ®e2+ Фа1 140 ^b6 Ee8 141 ®f2 Ef8 142 ®d4+ ФЫ 143 Фс4 Eh8 144 ®gl+ ФЬ2 145 ®g2+ ФаЗ 146 ®e2 Ebe8147 ®d3+ ФЬ2148 Фс1149 £>c3 Ec8+ 150 ФЬЗ Eb8+ 151 ^b5 Ebc8 152 ФеЗ+ Ф<11 153 £te3+ winning the exchange, after which White ‘only’ has to win W v E. 14.5 Queen and Rook v Queen and Minor Piece In this case it doesn’t make much dif- ference which minor piece the de- fender has - either case is generally drawn. Taking the bishop first, the main danger is that the defender’s king is exposed. (511): Although it is Black to play, his position is very poor. White’s pieces are all actively placed, he is threatening an immediate discovered 511 +/- tabrilo - Savon Belgrade (GMA Open) 1988 check (a king battery often nullifies the opponent’s checks), and Black’s queen is hiding in the comer. l..Jifc3 (after к-.^аб 2 Фf5+ White’s king moves out of the line of fire of Black’s battery, and he wins after 2...ФсЗ 3 Wg7+ Фс2 4 Ef2+! ФdЗ 5 Wg3+! Фс4 6 Ec2+) 2 Фдб+! (by attacking the bishop with his king, White effectively nullifies any queen checks Black might give) ФаЗ (this example demonstrates that such end- ings do not have to be ‘check, check, check, mate’; quiet moves are often essential to the winning process) 3 Ec4 (3 also wins, threatening Wa7+ followed by Wb6+) Ш+ 4 Фс5! (any further checks cost the bishop, so Black is reduced to des- perate measures) ШЗ 5 WgS (this second quiet move finishes Black; he still has no checks, while White’s queen threatens to enter the attack at cl) ФЬЗ 6 Eb4+ Фс2 7 Ef4 (the fi- nal quiet move wins Black’s bishop) Whl 8 ®g6+ 1-0
378 Secrets of Pawnless Endings In the hunt for a mate with the queen and rook, it is quite easy to overlook the possibility of exchang- ing queens to a winning E v Л end- ing. 512 =/+ Neininger - Lacrosse Cannes 1997 (512): Here Black can win quite easily, provided the idea of exchang- ing queens enters his head. l...Wb7+ 2 Фе8 ®c6+ (2..>a8+ 3 Фе7 Wxf8+ 4 <4)xf8 si?f6! is a win; for example, 5 Jld7 Sb 1,5 ЛП Eal or 5 Лс4 Ес 1 6 Лаб Eal 7 ЛЬ7 Ebl; White’s king is near the right comer, but owing to the unfortunate initial position Black can immediately win the bishop) 3 Фе7 and here a draw was agreed (Vi-Vi), although Black can still win by exchanging queens. (513): 1...ФЬЗ 2 Wg3+! Wf3 3 Egl! Фа4 4 ®g4+! Ле4 5 ®d7+! ФЬЗ 6 ®еб+! ФеЗ 7 ®e5+! Фс4 8 ®c7+! ФЬ5 9 ®d7+! Фс410 ®a4+! ФеЗ 11 ®a3+! Фд4 12 *Ь4+ Фе5 13 Фс5+ Феб 14 ®с4+ £d5 15 513 /- Longest win: 'ЙЧ-Е v 'ЙФЛ Black to play; 73 moves Eel+! ФП 16 W7+! Фg6 17 Egl+ ФТ5 18 Wh7+! Фе5 19 Wg7+! Фдб 20 ®c7+! Феб 21 Eel+ Ле4 22 ®сб+ Фе5 23 Wb5+ Фдб 24 *Ь4+ Фд5 25 Wb7+ Фд4 26 ®a7+ Ф<13 27 ШЗ+ Фд4 28 ®al+ Фд5 29 Edl+ Феб 30 ®аб+! Фе7 31 ®d6+ ФП 32 Ш7+ Ф18 33 Wd8+ ФТ 7 34 Ed7+ Фg6 35 ®g8+ ФЬб 36 ®g7+ ФЬ5 37 ®е5+ ФЬб 38 Wh2+ Фgб 39 Wh7+! Фg5 40 Eg7+ *f6 41 «Ъ6+! Фе5 42 Ее7+! Фd5 43 Феб+! Фd4 44 ОД16+! Л<15 45 Eb7! (after a very long sequence of checks, a neat move to activate the rook while stop- ping any queen checks by Black) ®c3 46 ®f4+ ФdЗ 47 ®g3+ Фс2 48 Wg6+ Фdl 49 ®g4+ ®f3 50 ®gl+ Ф<12 51 Eb2+ ФеЗ 52 ®cl+! Фd4 53 Eb4+! Фе5 54 ®c7+ ФТ5 55 WH7-I-! Фе5 56 Wg7+ Фd6 57 ®c7+! Феб 58 Eb6+! ФТ5 59 ®h7+ Фе5 60 Wg7+ Фе4 61 Eb4+! ФТ5 62 Фс7 (the king finally joins in) We3 63 Фd8 Лсб 64 ®f7+ Ф85 65 ®c4 ЛГЗ 66 Eb5+! ФТ6 67 Wh4+! Фg6
Six-Man Endgames 379 68 Wg3+! ФЬб 69 Wd6+ ФЬ7 70 Be5 Wc3 71 Ee7+ ФИ8 72 Wh6+ <S?g8 73 Wh7+ with mate next move. The defender has slightly more problems with queen and knight, but again the result is a draw in the vast majority of cases. Since interesting practical examples are lacking, I will just give the longest win. 514 /- Longest win: W+E v W+£ Black to play; 71 moves (514): 1.„ФаЗ 2 We7+! ФЬЗ 3 Eb4+! ФсЗ 4 Eb7! (a surprising move which allows Black a fair de- gree of counterplay) Wd4+ 5 Ed7! Wh8+ 6 Фс7! Wh2+ 7 ФЬ7 Whl+ 8 ФЬ8 Wh2+ 9 Ed6 Wh8+ 10 Фа7 £d411 Ea6! (another difficult quiet move) Ф<13 12 ЕаЗ+! Фс413 'Hc7+ Ф<15 14 Wa5+ Фе4 15 Wel+! Ф<15 16 Ea5+ Фс4 17 Wcl+ Ф<13 18 ЕаЗ+ Фе4 19 We3+ Фd5 20 Ea5+ Фс4 21 Ea4+ Фd5 22 Wg5+ Фd6 23 Wg6+ Фс5 24 Wb6+ Фd5 25 Ea5+ Фс4 26 Wc7+ ФЬЗ 27 Wd6 ФЬ2 28 Wa3+! Фс2 29 Wa2+ ф<13 30 ЕаЗ+ Фе4 31 Wg2+ ФТ4 32 Wg3+ Фе4 33 Wg6+ Фd5 34 ФЬ7 Wh2 35 Wf7+ Фе4 36 We8+ ф<15 37 Еа5+ Фс4 38 Wa4+ ф<13 39 Wdl+ Фе4 40 Wei+! Ф<13 41 ЕаЗ+ Фс4 42 Еа4+ Ф<15 43 Wa5+ Фе4 44 Wb6 Wh7+ 45 Фаб! Wh8 46 Wc6+ ФТ4 47 Wcl+ Фе4 48 Wc2+ ФТ4 49 Wd2+ Фе4 50 Wg2+ Фе5 51 Еа5+ ФТ6 52 Wg5+! ФП 53 Wd5+! Фg6 54 We4+ ФТ7 55 Wb7+ Фg6 56 Фа7 Wf6 57 Еаб! 0*6 58 Wd7! Wf2+ 59 ЕЬ6! Wa2+ 60 ФЬ8! ФТ6 61 Wd4+ ФТ5 62 ЕЬ5+ Фg6 63 Wg4+ ФТ7 64 ЕЬ7+ ФТ6 65 Wf3+ Фе5 661«Ъ54^6671»Ъ5£с568 #Ь6+ Ф<15 69 Wd8+ Фе5 70 Wg5+ Фd6 71 Eb6+ winning the knight. 14.6 Queen and Rook v Queen and Rook The last three sections deal with end- ings which in practical play usually arise after both sides have promoted pawns. Players are well aware of the rule of thumb which governs endings such as W+E v W+E and 2W v 2W, namely “Whoever checks first wins”. In many cases this is a valid principle, and certainly if the attacking force is well-coordinated, it can usually force mate or win of material by a series of checks. However, there are many cases in which the win is not so easy as one might imagine. The sequence of checks must be quite precise, and the sheer number of checks at each move can easily cause confusion. (515): This position is typically deceptive. White’s queen and rook
380 Secrets of Pawnless Endings 515 /- Goormachtigh - Peelen Sas van Gent 1990 are quite active, and the black king is wide open, so it might seem an easy win. However, Black’s queen and rook are well placed, controlling many potential checking squares. In fact the win is there, but it requires accu- rate play by the attacker and in the game this task proved too difficult. 1...ФаЗ 1...Фа5 lasts slightly longer, but transposes to the game after 2 W5+ *d4 3 W6+ *d3 4 Ж16+ ФеЗ (4...ФсЗ 5 Wa3+) 5 We5+ ФdЗ. 2 ®e2+ ФеЗ 3 ®e5+! Фаз 4 ®d5+ ФеЗ 5 Wb3+? Throwing away the win. Up to here White has played only optimal moves, but this queen check is from the wrong side of Black’s king. Checks on the b-file give Black the additional possibility of interposing his rook, and this allows Black to draw. The winning line is 5 Bb3+ ЕсЗ 6 WgS+J Фе2 7 Eb2+ (this rook sacrifice is a typical idea in the end- ing of W+E v W+E, especially when queen and rook are checking from opposite sides of the enemy king; of course, it presupposes that you know how to win ЧК v Й) ФdЗ (7...ФТЗ 8 W5+ ФеЗ 9 We5+ transposes) 8 Ш5+ ФеЗ 9 We5+ *f3 10 We2+ ФgЗ 11 W2+ Фg4 12 Eb4+ Фё5 13 Wh4+ Фg6 14 Bg4+ mating. 5...Фа4! The only drawing move, because 5...Ec3? loses to 6 ^еб-ь Фd4 7 Wg4+ Фе5 8 We2+ Ф?6 9 Eb6+ Фg5 10 Bb5+ ФЬ4 11 Wh5+ ФgЗ 12 Eg5+!, while 5...Фе4? 6 We6+! Фd4 transposes to the note to Black’s 1st move. 6#b6+ Since a check on the fourth rank can be answered by ...1йгс4+, this is White’s only check. б...Фаз? 6...Ф<15! 7 Eb5+ Ec5! is the draw- ing line. 7®g6+ Now White is able to start the winning process again. 7 Ж16+ is similar but faster. 7...ФсЗ 8 Ш+! ФаЗ 9 Wf3+ 9 Ж16+ is still the right idea. 9...Фа4 io ®g4+ Фаз ii ®g3+ Фа4 12 ®d6+ White is finally back on the cor- rect path again. 12...ФеЗ 13 Eb3+ Ec314 Wh6+! Фе2 White has made considerable prog- ress over the last few moves, but at the critical moment he fails. 15 Wh5+? 15 Eb2+! is the winning move, analogous to the note to White’s 5th move. Note that Black is unable to
Six-Man Endgames 381 interpose his rook as then his queen would be en prise. 15,..Ф<13! Black finds the only drawing move and makes no further mistake. 16 ®g6+ Фс4 17 ®e6+ Фаз 18 Ш5+ Фс419 Wb5+ *d4! 20 Eb4+ Ec4! 21 ®d7+ Фе4 22 ®g4+ ФЬЗ 23 Eb3+ Ec3! 24 ®g6+ Фс4 25 ®e6+ Фаз 26 ®d5+ Фс2! Ч2-Ч2 Some positions can only be won using quiet moves. 516 +/+ Szyle - Karsten Kassel 1999 (516): In this case having the first check really does win, but the proce- dure is not at all simple. l...1lh)l+ (the first step is to zigzag the queen closer to White’s king) 2 ФТ6 (2 Фg5 Wcl-t- amounts to the same thing) Wb2+ 3 Фg6 ®c2+ 4 ФТ6 (once again, 4 Фg5 Ж12+ makes no real difference) ^сЗ-ь 5 Фg6 ^<13+ 6 ФТ6 ®d4+ 7 Фg6 ®d6+ 8 ФТ5 (8 Фg5 We5+ transposes to the next note; after the text-move, a critical moment arises - how does Black make progress?) Eb8 (this quiet move enables Black to switch his rook to f8; there was a second win- ning line with 8...Ж15+ 9 Фg6 Web-t- 10 Фg5 We5+ 11 Фё6 Ed7 12 Ш Ed6+! 13 ФЬ7 Wh5+ 14 Ф28 Ж15+! 15 Wf7 (15 ФЬ7 ШЗ+ 16 ®g8 Ed8} Wa8+ 16 ФЬ7 Whl+ 17 Фg8 Ed8+ and White loses his queen) 9 Wh7 Hf8+! (now Black’s attack is irresist- ible) 10 Bf7 ШЗ+! 0-1. Rather an early resignation as there were still a couple of tough moves to find: 11 Фg5 (11 Феб He8+! 12 Ф16 Wc3+ 13 ФГ5 W3+ 14 Фё5 Wg3+ 15 ФЬб Ee6+! 16 ФЬ5 Ee5+ 17 Ef5 Wh3+) Eg8+! (this is the same rook-sacrifice motif as in the previous example) 12 Фй Ж16+ 13 ФГ5 Egl (a second quiet move finishes White) 14 Фе4 (14 Eb7+ Феб doesn’t help) ^ебч- 15 ФdЗ Edl+ mating. The longest win with this material only emphasizes the importance of quiet moves in this ending, as several occur in the main line. (517): This is a very difficult win in which White alternates bursts of checks with some unexpected quiet moves: 1...Фе5 2 Wh5+! Ф04 3 Wh8+! Фс4 4 ®g8+! ФЬ4 5 ®f8+! ФЬ5 6 Eb2+ Фа4 7 Ea2+! ФЬ5 8 Wf5+ ФЬб 9 Eb2+ Eb4 10 Wg6+ Фа511 Ea2+ ФЬ512 ®f5+ Фс413 Ec2+! Фд4 14 ®d7+ ФеЗ 15 Ec7! (a really difficult move, which seems to withdraw White’s rook from an active position to a passive one; the point is to threaten 16 ^ебч- Ee4 17 Wxe4+) Ee4 16 Wh3+! Фд2 17
382 Secrets of Pawnless Endings Longest win W+E v W+E Black to play; 92 moves Wc3+! Фе2 18 Wb3! ЕеЗ 19 Ec2+! ФГЗ 20 ®f7+! *g4 21 ®g6+ ФТ4 22 ®f6+ *g4 23 Ec5 ФЬЗ 24 Eh5+! *g2 25 ®сб+! Ф12 26 Eh2+ *g3 27 ®d6+! *g4 28 *d7 Ee2 29 ®g6+! ФТ4 30 Wh6+ ФО 31 ®h5+ ФеЗ 32 ®e5+ ф<13 33 ®d5+ Фс2 34 ®сб+ Ф<12 35 Eh3 Ee7+ 36 Фд8! ЕеЗ 37 Wd5+ Фс2 38 Wf5+ ФсЗ 39 Wc5+ Фаз 40 Wb5+ Фа2 41 Фа5+ Фа1 42 ®а1+ Фс2 43 Eh2+ Фаз 44 ®а6+ Фе4 45 W4+ ФП 46 ®d5+ Фg3 47 Eh8! Ее4 48 ®g8+ ФТ4 49 ®f7+ фв3 50 ®g6+ ФТ4 51 ®d6+ ФО 52 Eh5 ФО 53 Ш+ Фе2 54 Eh2+ Фаз 55 ®а6+ Фа4 56 Ш6+ ФсЗ 57 Фс5+ Фаз 58 Wb5+ ФсЗ 59 Eh3+ ЕеЗ 60 Фс8 Фс2 61 Eh2+ ФсЗ 62 Wb2+ Фс4 63 Ш2+! Фа4 64 ®а4+ Фаз 65 ®с2+ Фа4 66 ЕЬ4+ Ее4 67 ®а4+ Фе5 68 ®е8+ Фа4 69 Ш7+ Фс4 70 ®с6+ Фа4 71 Eh8 ®е2 72 ФЬ8 ®g4 73 Фа8 Фаз 74 Ш6+ ФеЗ 75 Eh3+! ФО 76 Ш2+! Фgl 77 Фс1+ Ф12 78 Eh2+ Фё3 79 Wgl+ ФТ4 80 Фа+ Фе5 81 ®с5+ ФТ6 82 ®f8+ Феб 83 ЕЬ6+ Фа5 84 ®d8+ Фс5 85 Фа5+ Фа4 86 Ed6+ Фс4 87 Ес6+ Фаз 88 ЕсЗ+ Фе2 89 Вс2+ ФО 90 ®сЗ+ ЕеЗ 91 ®f6+ winning queen for rook. 14.7 Two Queens v Queen and Rook This ending is normally a win for the two queens, although if the side with the queen and rook gives the first check, the result may be perpetual check or even a win for the materi- ally inferior force. In the next exam- ple White tries to avoid such a fate. Gutman - Stisis Israeli Team Ch 1996 (518): White can give a series of checks and then promote his g-pawn, but which checks should he give and how should Black respond? lWh6+ The position is in fact drawn, and White can only hope that Black goes
Six-Man Endgames 383 wrong. 1 Wh2+ is a good try and forces a precise response: 1) l...*d3? 2 g8W wins. 2) l...*e3?2Wg3+*d4(2...*d2 3 i&£2+ Фс1 4 gSW is winning for White, while 2...Фе2 loses at once to 3 ^£3+) 3 i&f2+ and all Black’s king moves lose to 4 gSW. 3) 1 ...ФеЗ! 2 Wg3+ (2 g8W? even loses to 2...Ж11+, while 2 Wcl+ Фd4 3 W4+ Фс5 is again a draw) ФЬ4 is drawn. 1...Фе2? Black loses contact with the draw- ing сЗ-square and now the check on h2 is decisive. He could have drawn by either l..^d3 2 Wh3+ (2 Wg6+ Фd2) Фd4 or 1...ФсЗ 2 We3+ Ed3 3 Wc5+ Фd2 4 Wf2+ ФеЗ 5 g8W Wa4+ 6 W4 Ш7+. 2®h2+ The analysis of 1 1ЙГЬ2+ shows that Black has no defence. 2..^d3 3 g8® Ed4+ 4 ФЬЗ? A serious error just when White had the win within his grasp. 4 ФgЗ Wel-b 5 i&f2 WeS-b 6 Фg2 brings the checks to an end. 4...Wfl+! Now Black can secure the draw. 5 Whg2 ®f5+! 6 ФЬ2 Eh4+! 7 Фgl ®c5+! 8 ®f2 8 ФП? Ef4+ would even lose. 8..ЛЫ+! */2-‘/2 (519): 1 Ф05! (White first has to march down the long light-square di- agonal to prevent Black’s queen from jumping in with check too soon) Ea5+ 2 Фе4! Ea4+ 3 Ф£3! Ea3+ 4 Фg4! Ea4+ (after 4...1Brgl+ 5 ФЬ5 White wins at once) 5 ФЬ5! Ea5+ 6 519 +/ Longest win: 2Hif v W+E White to play; 48 moves Фg6! ®gl+ 7 ФГ7! ®f2+ 8 Ш! (it might seem to be the end when one of White’s queens interposes, but Black still has a lot of fight left) Фа2+ 9 We6 ^f2+ (here the main problem is the possibility of a pin by ...Ea7, which severely limits White’s options) 10 Фg6 ®c2+11 Фё7 Wb2+ 12 ФЬ7 ®c2+ 13 ®g6 Eh5+ 14 Ф8?! ®c3+ 15 ФГ7! ®f3+ 16 Фg8! Ш8+ 17 ®de8 ®d5+ 18 Wee6 Wa8+ 19 ФГ7 Wb7+ 20 W7 Wf3+ 21 ®ef6 ®d5+ 22 Фg7 Wb7+ 23 ФТ8 #b8+ (23..>a8+ 24 We8 ^аЗ-ь 25 Фg7 Wg3+ transposes to the main line) 24 Фе8 Wb4+ 25 Фg8 Wb3+ 26 Фg7 Wg3+ 27 ФП ®c7+ 28 ФТ8! ®c5+ 29 Фg8 ®d5+ 30 Фg7 Wb7+ 31 ®ee7 ®g2+ 32 ®g6 Wb2+ 33 ФГ7 Wf2+ 34 Фе8 Eh8+ 35 Фd7! ®d4+ 36 Wed6! W7+ 37 Феб ®e3+ 38 Ф<15 Wb3+ 39 Фе5 Wc3+ 40 ®d4 ®c7+ 41 Феб ®c8+ 42 ®d7 Ш6+ 43 ®d6! ®c8+ 44 Фd5 Фа8+ 45 Феб (setting up a bat- tery finally brings the checks to an
384 Secrets of Pawnless Endings end) Wa2+ 46 *d6+ ФЬ2 47 Wcc2+ exchanges queens and wins Black’s rook in a couple of moves. 14.8 Two Queens v Two Queens Here we are almost always in a ‘first check wins’ situation, although once again accuracy may well be required. 520 +/+ Comte - Le Roy French U-18 Team Ch 1997 (520): The diagram is rather an exceptional case since one of White’s queens is pinned. After a few per- ftmctory checks the game was agreed drawn, but there was a win: 1) 1 Wh4+? was the game con- tinuation, and the finish was 1...ФЬ5! 2 Whg5+ Феб 3 Wg2+ Ф06 4 Wg6+ Фс7! 5 Wg7+ ФЬ8! У1-У1. 2) 1 Wf8+! and now: 2a) 1...Фс4 2 Wg8+ ФЬ5 (2...ФЬ4 3 Wgb3+ interrupts the mutual de- fence of Black’s queens) 3 Wd5+ Фаб 4 Wc6+ mates. 2b) 1...ФЬ5 2 Wfe8+! ФЬ4 (or 2...Фс4 3 W8e6+ ФЬ5 4 Wd5+) 3 W8e4+! ФЬ5 4 Wd5+! Фаб 5 Wc6+ with the same win as in line ‘2a’. 521 /- Longest win: 2W v 2W Black to play; 44 moves (521): 1...Ф112 2 Wh7+! Фgl 3 Wfg8+! Wg4 4 Wa7+! ФП 5 Wal+! ФП 6 Wga2+! ФеЗ 7 Wcl+ Ф04 8 Wa7+ Ф05 9 Wf7+ Ф04 10 Wf6+ Фаз 11 Wa6+ Ф04 12 Wcal+ ФеЗ 13 Wh6+ ФИ 14 Wa2+ ФП 15 Whl+ ФеЗ 16 Wa7+ Фе2 17 Wa6* Wbc4 18 Wh2+! Ф03 19 Wh7+! Ф<12 20 Wa5+ Wb4 21 Wd5+ Фе1 22 Whirl* ФП 23 Wf7+ ФеЗ 24 Wh6* Фе4 25 Wfh7+ Ф04 26 Wa7+! Ф<15 27 Wa2+ Ф04 28 Wf6+ Ф<13 29 Wfl* Ф04 30 Wa7+ Фе5 31 Wc7+ Фе4 32 Wh7* Фе5 33 Wh8* Фе4 34 We8+ Ф04 35 Wf2+ Ф<15 36 Wd8* Фе4 37 Wc2+ Фе5 38 Wh8+ Ф<15 39 Wd3* Wgd4 40 Wd8+ Фе5 41 We8+ Ф05 42 Wf5+ Фс4 43 We2+ ФЬЗ 44 Wfc2+ and mate next move.
384 Secrets of Pawnless Endings end) Wa2+ 46 *d6+ ФЬ2 47 Wcc2+ exchanges queens and wins Black’s rook in a couple of moves. 14.8 Two Queens v Two Queens Here we are almost always in a ‘first check wins’ situation, although once again accuracy may well be required. 520 +/+ Comte - Le Roy French U-18 Team Ch 1997 (520): The diagram is rather an exceptional case since one of White’s queens is pinned. After a few per- ftmctory checks the game was agreed drawn, but there was a win: 1) 1 Wh4+? was the game con- tinuation, and the finish was 1...ФЬ5! 2 Whg5+ Феб 3 Wg2+ Ф06 4 Wg6+ Фс7! 5 Wg7+ ФЬ8! У1-У1. 2) 1 Wf8+! and now: 2a) 1...Фс4 2 Wg8+ ФЬ5 (2...ФЬ4 3 Wgb3+ interrupts the mutual de- fence of Black’s queens) 3 Wd5+ Фаб 4 Wc6+ mates. 2b) 1...ФЬ5 2 Wfe8+! ФЬ4 (or 2...Фс4 3 W8e6+ ФЬ5 4 Wd5+) 3 W8e4+! ФЬ5 4 Wd5+! Фаб 5 Wc6+ with the same win as in line ‘2a’. 521 /- Longest win: 2W v 2W Black to play; 44 moves (521): 1...Ф112 2 Wh7+! Фgl 3 Wfg8+! Wg4 4 Wa7+! ФП 5 Wal+! ФП 6 Wga2+! ФеЗ 7 Wcl+ Ф04 8 Wa7+ Ф05 9 Wf7+ Ф04 10 Wf6+ Фаз 11 Wa6+ Ф04 12 Wcal+ ФеЗ 13 Wh6+ ФИ 14 Wa2+ ФП 15 Whl+ ФеЗ 16 Wa7+ Фе2 17 Wa6* Wbc4 18 Wh2+! Ф03 19 Wh7+! Ф<12 20 Wa5+ Wb4 21 Wd5+ Фе1 22 Whirl* ФП 23 Wf7+ ФеЗ 24 Wh6* Фе4 25 Wfh7+ Ф04 26 Wa7+! Ф<15 27 Wa2+ Ф04 28 Wf6+ Ф<13 29 Wfl* Ф04 30 Wa7+ Фе5 31 Wc7+ Фе4 32 Wh7* Фе5 33 Wh8* Фе4 34 We8+ Ф04 35 Wf2+ Ф<15 36 Wd8* Фе4 37 Wc2+ Фе5 38 Wh8+ Ф<15 39 Wd3* Wgd4 40 Wd8+ Фе5 41 We8+ Ф05 42 Wf5+ Фс4 43 We2+ ФЬЗ 44 Wfc2+ and mate next move.
GMM Following on from his successful book Secrets of Rook Endings. John Nunn turns his attention towards endgames without pawns. These occur surprisingly often in practice and are extremely tactical in nature. This book unites man and machine in the search for ultimate answers. The computer databases created by Ken Thompson, formerly of Bell Laboratories, can state with certainty the correct result of any position with five pieces or fewer. John Nunn has extracted the most important information from these databases and presented it in the form of guidelines and specific key positions, which can be more readily digested by the human mind. With most competitive games nowadays being played to a finish in a single session, this knowledge may prove invaluable over the board. Since the first edition of this book was published, the databases for many six-man endings have been created, resulting in some surprising and paradoxical discoveries. The coverage has therefore been expanded to include the most interesting features of these endings. John Nunn is a grandmaster from England. He has won four individual gold medals and three team silver medals at Chess Olympiads. In the Chess World Cup of 1988/9, he finished sixth overall, ahead of several former World Champions. He is arguably the most highly acclaimed chess writer in the world, with two of his books receiving the prestigious British Chess Federation Book of the Year Award. Other titles from Gambit Publications include: Fundamental Chess Endings Karsten Muller and Frank Lamprecht Secrets of Rook Endings John Nunn Understanding Chess Move by Move John Nunn Secrets of Modern Chess Strategy John Watson The Road to Chess Improvement Alex Yermolinsky The Seven Deadly Chess Sins Jonathan Rowson Gambit Publications Ltd is: Managing Director: Murray Chandler GM Chess Director: Dr John Nunn GM Editorial Director: Graham Burgess FM For further Information about Gambit Publications write to us at: Gambit Puolicatione I Id, HO, Box 32640. London W14 OJN, England. Or send an e-Tall to: i00617.2702@compLserve.com httpi/Avww.gambitbooks.com £14.99 S19.95