21

What's the technique behind the moves of the stronger side in order to win?

Are there situations where the side with K+R can force a draw against K+Q?

I've read plenty of examples of K+Q vs K+R, but they were only mere sequences of moves without explanation, and sometimes I didn't get the logic. The only thing I managed to understand is that the stronger side has to force the Rook away from his King, and then double-attack them with the Queen. But how can I make it happen?

  • 1
    These endings are tough even for grandmasters. Considering how how hard it is, and how boring, and that it might never come up in a game, you're probably better off spending your time on some other aspect of chess. Like rook and pawn endings, or combinations, or gambit openings. – bof Sep 20 '16 at 11:07
  • 1
    Better answers than the accepted answer seem to have been posted since then, I suggest updating the check-mark. – Nikana Reklawyks Oct 27 '17 at 20:55
12

In "Chess Fundamentals," former world champion J. R. Capablanca noted that this was the hardest of the basic piece-only endgames to win.

His analysis was that the stronger side can win if it can force the rook away from the king, with double threats of checkmating the king, and forking rook and king. If the defending side can keep the rook near the king without getting checkmated, it can draw. Often, the win or draw is just a matter of a square or two; e.g., the rook's staying on the same or opposite square color as the king (it is easier to fork them in the former case).

  • This is probably the basic endgame in which I find more difficulties. I think I'm kinda ok with pawn endgames, with other piece-only endgames, with pieces + pawns endgames, but without an understanding of this I feel a big flaw in my knowledge. Thank you for your hints, I'll go and search for that Capablanca's analysis. :) – javatutorial Jun 18 '12 at 6:43
  • 4
    Could this answer be a little clearer on the actual status of the endgame match-up, for we awful end-gamers who'll always misplay them on both sides ? For instance, examples of winning positions without obvious forks or mate-in-n (but rather, say, “at this point, the Q can split K and R for long enough to bring the K and mate”), and examples of successful defensive setups to draw would be interesting (again, apart from trivial forced repetition). – Nikana Reklawyks Nov 27 '12 at 5:00
  • @NikanaReklawyks: I suggest that you read the book (about page 50). Frankly, I don't understand it myself, just gave a good reference. – Tom Au Aug 8 '17 at 0:18
15

INTRODUCTORY NOTE:

Examples and instructions are taken from the book:

Y.Averbakh - Comprehensive Chess Endings Volume 3.

In many cases I felt no need to "reinvent the wheel" so I quoted the above authors. Those parts will be marked with apostrophes "", like this: "This is a quoted text".


Without further delay let us tackle this endgame:

"In endings of this group the stronger side normally wins thanks to its big material advantage. At the same time, in a number of positions the rook's fighting quality enables it to put up a successful defense. Drawing dangers arise each time that the weaker side's king, on being pushed to the edge of the board, becomes restricted in its mobility"-emphasis are mine.

So let us first start with the position in which rook can successfully defend.

[Title "Weaker side holds balance: Ponziani, 1782"]
[StartFlipped "0"]
[fen "5k2/6r1/4Q3/8/8/8/8/7K b - - 0 1"]

1...Rh7+ 2.Kg2 Rg7+ 3.Kf3 Rf7+ 4.Kg4 Rg7+ 5.Kf5 Rf7+ 6.Kg6 Rg7+ 7.Kh6 Rh7+! 8.Kxh7 1/2-1/2

Here is another relevant position:

[Title "Weaker side holds balance: Berger, 1889"]
[StartFlipped "0"]
[fen "6k1/6r1/5Q2/8/8/8/8/7K b - - 0 1"]

1...Rh7+ 2.Kg2 Rg7+ 3.Kh3 Rh7+ 4.Kg4 Rg7+ 5.Kh5 Rh7+ 6. Kg5 ( 6.Kg6 Rh6+! 7.Kxh6= ) 6...Rg7+ 7.Kh6 Rh7+ 8.Kg6 Rh6+! 9.Kxh6 1/2-1/2

Another important note from the authors:

"If, for example, the queen is moved to f1,f2,f3 or f4, the game ends in a perpetual check, since the king can not cross the f-file. But with his queen at f5 White wins: when his king occupies the h6 the rook does not have a saving check on h7."

Let us move on to another important position, and again I will quote the authors:

"If the queen is stalemating the king in the corner of the board, the rook may become a desperado."

The following example shows a badly posted rook trying to save the game in this manner.

[Title "Failed 'desperado' attempt"]
[StartFlipped "0"]
[fen "r6k/5Q2/2K5/8/8/8/8/8 b - - 0 1"]

1...Ra6+ 2.Kc5 Ra5+ ( 2...Rc6+ 3.Kd4 Rd6+ 4.Ke5+- ) 3.Kd4 Ra4+ 4.Kc3 Ra3+ 5.Kb2+-

Stronger side should maneuver with its king so that one of the checking squares is covered with the queen-this way queen can take the rook which frees opposing king from stalemate. King should approach the rook along a diagonal adjacent to the queen's.

Now let us see how weaker side defends when rook is properly posted:

[Title "Drawn for any position of the White king!"]
[StartFlipped "0"]
[fen "7k/5Q2/2K5/8/8/8/8/r7 b - - 0 1"]

1...Rc1+ 2.Kd5 ( 2.Kd6 Rd1+ 3.Ke6 Re1+ 4.Kd7 Rd1+ 5.Ke8 Rd8+! ( 5...Re1+?? 6.Kf8+- ) 6.Ke7 Rd7+ 7.Kxd7=) 2...Rd1+! ( 2...Rc5+?? 3.Kd4+- ) 3.Kc5 Rc1+ 4.Kb4 Rb1+ 5.Ka3 Ra1+ 6.Kb2 Rb1+ 7.Kc2 Rc1+=

Perpetual check! Do not forget that in this position rook must never leave the first rank! See the sub variation for the second Black's move ( 2...Rc5+?? 3.Kd4+- ).

Now let us move the rook on the g-file:

Do not forget that here rook must not leave the g-file!!

[Title "Drawn for any position of the White king!"]
[StartFlipped "0"]
[fen "6rk/5Q2/8/8/8/2K/8/8 b - - 0 1"]

1...Rg3+ 2.Kd4 Rg4+ 3.Ke5 Rg5+ 4.Ke6 ( 4.Kf6 Rf5+!= ) ( 4.Kd6 Rg6+= ) 4...Rg6+! 1/2-1/2

Let us sum up: In these types of positions the defender draws if his rook operates along the g-file or the 1st rank. Of course, this also applies for all 8 mirror positions.

For further details of playing these positions refer to the above book. In normal situations the queen always wins against a rook, although not without overcoming certain technical difficulties.

"The winning plan consists of pushing the opponent's king into the corner or onto the edge of the board and creating mating threats. In defending, the weaker side is forced to separate his forces, which leads to the loss of the rook by coming under double attack by the queen. The basic method of achieving the goal is zugzwang."

[Title "Stronger side wins: Philidor position"]
[StartFlipped "0"]
[fen "1k6/1r6/2K5/Q7/8/8/8/8 b - - 0 1"]

1...Rh7 ( 1...Rb1 2.Qd8+ Ka7 3.Qd4+ Ka8 4.Qh8+ Rb8 ( 4...Ka7 5.Qh7+ Ka8 6.Qxb1+- ) 5.Qa1# )  ) 2.Qe5+ Ka8 3.Qa1+! Kb8 4.Qb1+ Ka8 5.Qxh7+- 

If stronger side is to move, it gives back the move to the weaker side with the following maneuver:

[Title "Stronger side wins: Philidor position"]
[StartFlipped "0"]
[fen "1k6/1r6/2K5/Q7/8/8/8/8 w - - 0 1"]

1.Qe5+ Ka8 2.Qa1+! Kb8 ( 2...Ra7 3.Qh8# ) 3.Qa5+-

This maneuver is characteristic for this endgame.

The authors continue with practical examples of driving the weaker side's king to the edge/corner of the board but give no written instructions on how to achieve this.

This is not satisfactory for my standards thus I have tried to find a better resource for this. I believe this is decent coverage for the plan of pushing weaker side's king to the edge/corner of the board. Just look articles for second and third rank defense. If I find anything better I will edit my post, but for now this is the best I can find.

Best regards.

14

There are several key positions from which it is easy to memorize the win. The basic idea is to drive the opposing king to the edge of the board, and then to the corner, where you can force the rook to separate from the king.


[Event "?"]
[Site "?"]
[Date "????.??.??"]
[Round "?"]
[White "King and Queen"]
[Black "King and Rook"]
[Result "*"]
[SetUp "1"]
[FEN "8/6rk/5K2/3Q4/8/8/8/8 w - - 0 0"]
[PlyCount "11"]

1. Qh1+ (1. Qh5+? Kg8 {this is the diagram we want, but the wrong side has the
move.}) 1... Kg8 2. Qh5 {This is the key position to have with black to move.
The rook must leave the king} Rg1 (2... Kf8? 3.Qh6) 3. Qd5+ Kh7 4. Qe4+ Kg8 5. Qa8+ Kh7 6. Qa7+ {
forks the king and rook} *


The first move in the diagram is Qh1+. Qh5+? is a mistake, though the position is the one we want the wrong side is to move.

After 2.Qh5 we have the position we want. The rook must leave the protection of the king, and a series of checks will allow a fork of king and rook by the queen.

If the rook is already separated, then there is usually a sequence of checks that produce the win.


[Event "?"]
[Site "?"]
[Date "????.??.??"]
[Round "?"]
[White "King and Queen"]
[Black "King and Rook"]
[Result "*"]
[SetUp "1"]
[FEN "8/8/8/4K3/r6k/8/3Q4/8 w - - 0 3"]
[PlyCount "9"]

3. Kf5 Kg3 4. Qd3+ Kh4 5. Qc2 Ra5+ 6. Kf4 Kh3 7. Qc3+ *


  • 1
    I think this is the best answer so far! :) – Rauan Sagit Mar 11 '14 at 11:33
13

There are a few technical ways to approach this endgame, the most notable one being a Philidor's Position (the KQ vs. KR one, not the KRP vs. KR one or the KRB vs. KR one).

If you do a web search for 3rd or 4th rank defense, you should be able to find more complicated situations outlining ideas for how the defensive position can try to put up a fight while minimizing the effects of a K-R fork occurring.

  • Thank you for your answer, I'll give a look at the link. :) – javatutorial Jun 18 '12 at 6:36
8

As long as we're mentioning ways the player with the rook can draw, the following is a very common setup in endgame puzzle books:

[fen "8/8/8/8/8/2QK4/8/3kr3 b - - 0 1"]

Black to move and draw

Solution:

White is threatening to mate at c2, d2, and a1. Black's only move is 1.. Re3+! 2. Kxe3 1/2-1/2

  • I know this is pretty random, but I recognized your Stack Overflow username from Chess Tempo. – Mateen Ulhaq Apr 29 '15 at 8:33
6

Goals in KR KQ:

Get your king to where you are attacking his rook.

Force his king to defend the rook while you attack it.

Remove the king as a defender from the rook with your queen.

Do not allow your queen in a position where a rook could attack it with support of the king unless you initiated a check.

5

One possibility is to force a draw by repetition. E.g. if you have black Ka8, Qc8 and white Kb1, Rb2, then white needs just to check the black king forever. If he goes on the c file, the queen is lost.

[fen "k1q5/8/8/8/8/8/1R6/1K6 w - - 0 1"]
  • Yes, I had seen that position before but I forgot it. Of course if the weak side can force the Queen to be traded for the Rook after a check, the game is draw. :) – javatutorial Jun 15 '12 at 14:51
  • Looks a bit like W got extremely lucky… – Nikana Reklawyks Nov 27 '12 at 4:53
  • 2
    Why the downvote? – Landei Nov 27 '12 at 12:38
1

I've done a lot of research on this ending, as I was a little downcast to see so few good resources showing the technique. I've summarised my findings in two articles on my page:

The ending is broken down into two elements - 1. Winning from the Philidor position http://www.thequietmove.com/queen-v-rook-ending-philidor/ and 2. How to get to the Philidor position from an open board http://www.thequietmove.com/queen-v-rook-getting-to-philidor/

Note you really have to know the Philidor win or rely on tactics and this ending is super-tough! Happy chessing

  • Whilst this does provide an answer to the question, it would be preferable to post your findings here, and provide the link for reference. – Herb Wolfe Jan 15 '18 at 23:15
  • Thanks Herb. Only challenge I the response is blvery tehnical and is better explained with the linked diagrams bur thanks for the feedback – Andrew Sainsbury Jan 17 '18 at 21:30
1

Found this resource on the topic, which explains the three concrete steps involved in playing this endgame. Sharing here as it may help someone: http://www.chess-insights.com/queen-vs-rook.html

The linked article gives detailed explanation with good diagrams for each step. But to summarize in 3 sentences, the steps mentioned are as follows:

  • First: force the rook into a third-rank defence and break that down. The defender then has to opt for a second-rank defence.

  • Second: play against the second-rank defence until you reach the Philidor position.

  • Third: win the rook from the Philidor Position.

  • 3
    Can you repeat the steps here in your answer? – Dag Oskar Madsen Sep 20 '16 at 9:57
  • The linked article gives detailed explanation with good diagrams for each step. But to summarize in 3 sentences, the steps mentioned are as follows: First: force the rook into a third-rank defence and break that down. The defender then has to opt for a second-rank defence. Second: play against the second-rank defence until you reach the Philidor position. Third: win the rook from the Philidor Position. – Pradeep Puranik Sep 22 '16 at 6:09

protected by AlwaysLearningNewStuff Jul 24 '14 at 10:17

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