Rook vs. Bishop: Ending 4 (and then some)
At long last, here is the fourth and final ending in our series on rook vs. bishop endings. The position is a draw and the means very simple, but there are so many extremely interesting near-neighbors to this ending that the post exploded in size and depth, but it was worth it - even if none of you learn anything from this (which would be a great pity), I learned quite a bit! So be patient, follow along, and you'll be surprised at how enjoyable, fascinating, and easy to learn endgames can be.
Anand,Viswanathan (2786) - Van Wely,Loek (2679) [D48]
Amber Rapid Monte Carlo MNC (9), 29.03.2005
1.Nf3 Nf6 2.c4 e6 3.Nc3 d5 4.d4 c6 5.e3 Nbd7 6.Bd3 dxc4 7.Bxc4 b5 8.Bd3 a6 9.e4 c5 10.d5 Bb7 11.0-0 Qc7 12.Bc2 c4 13.Nd4 e5 14.Nf5 g6 15.Ne3 Bc5 16.Qf3 0-0 17.Bd2 Ne8 18.Ne2 Nd6 19.Rfc1 Rac8 20.a4 b4 21.a5 Qd8 22.Ra4 Ba8 23.Bxb4 Bxb4 24.Rxb4 Qxa5 25.Ra4 Qb6 26.Rb1 Bb7 27.h4 Qd8 28.Qg3 Nc5 29.Nc3 Nxa4 30.Bxa4 f6 31.h5 g5 32.h6 Rb8 33.Nf5 Bc8 34.Ng7 Qe7 35.Qf3 f5 36.exf5 Bxf5 37.Re1 Rxb2 38.Qg3 e4 39.f4 Bg6 40.Ne6 gxf4 41.Nxf4 Qa7+ 42.Kh2 Qf2 43.Qxf2 Rxf2 44.Nxg6 hxg6 45.Nxe4 Nxe4 46.Rxe4 R2f4 47.Re7 c3 48.Bc2 R8f7 49.Re3 Kh7 50.Rxc3 R7f6 51.Ra3 Rd4 52.Bd3 a5 53.Bb5 Rxd5 54.Rxa5 Kxh6 55.Ra6 Rxa6 56.Bxa6
This position turns out to be an easy draw: White simply plays g3, keeps the bishop on the h1-a8 diagonal and the king on g1 or g2 and there's nothing Black can do!
56...Kg5 57.g3 Rd6 58.Bc8 Rc6 59.Bd7 Rc7 60.Be6 Kf6 61.Bg4 Ke5 62.Bf3 Rh7+ 63.Kg2 Kd4 64.Ba8 Ke3 65.Bc6 Rc7 66.Ba8 Rc2+ 67.Kg1 Kd4 68.Bb7 Rb2 69.Bc6 Ke5 70.Ba8 Kf5 71.Bf3 Ke5 72.Kf1 Kd4 73.Kg1 Ke3 74.Ba8 Ra2 75.Bb7 Rd2 76.Ba8 Rf2 77.Bb7 Ke2 78.Ba8 Ke3 79.Bb7 g5 80.Ba8 g4 81.Bb7 Ra2 82.Bc6 Rb2 83.Ba8 Kd4 84.Bc6 Rb6
Let's stop for a moment and consider this position. If you're blowing through the moves a la Evelyn Wood, it probably seems uninteresting: White can play Bh1, Bg2, or Ba8 and nothing changes, nothing matters. Not so! If 85.Bg2? Rb1+ 86.Kf2 Rb2+ 87.Kg1 then Rxg2+! wins - the price of having a pawn on the third rank instead of the fourth: 88.Kxg2 Ke3 89.Kg1 Kf3 90.Kh2 Kf2 91.Kh1 Kxg3 92.Kg1 Kh3 93.Kh1 g3 94.Kg1 g2 95.Kf2 Kh2-+ and so on. And 85.Bh1? is the same thing: 85...Rb1+ 86.Kh2 Rxh1+ 87.Kxh1 Ke3 88.Kg2 Ke2 89.Kg1 Kf3 90.Kh2 Kf2 91.Kh1 Kxg3 92.Kg1 Kh3 93.Kh1 g3 94.Kg1 g2 95.Kf2 Kh2-+
What can we learn from this? Lots, actually, if we'll take the time to play around a bit! Suppose we had a 7x8 board: 8 ranks still, but only 7 files. If we moved the pawns over one file, then it looks like Black would win! Of course, the board isn't 7x8, it's 8x8, but what will happen if we move everything over a file anyway? For the answer to this question, take a look at supplementary position 1, below - but try to figure it out for yourself first!
Here's another interesting question: we know that Black wins here if White plays inaccurately on account of the exchanging combination to a winning pawn ending. So let's suppose we move everything up a rank - the pawns are on g4 and g5, so that after the same sort of exchange sac in the variations above the position will be a draw. Does that mean the position is a draw, period, with best play? Again, try to work it out for yourselves, and then consult with supplementary position 2.
Finally, one might wonder why Anand put his pawn on the opposite colored square to his bishop - wouldn't it be more secure on the same-colored square? That leads to two further cases: one with the pawn anchored on g2, the other with the pawn on g4; for the answers, see supplementary positions 3 and 4.
And even returning to the position in the game, there's yet another important question to ask: what about; 85.Bd7 - does this draw? It's not thematic, but if it doesn't lose, then is it important? 85...Rg6 86.Kf2 and Black isn't making any progress here, either.
We now return you to your regularly scheduled game:
85.Ba8 Ke3 86.Kg2 Rd6 87.Bb7 Rd2+ 88.Kg1 Rf2 89.Ba8 Rf3 90.Kg2 Rf2+ 91.Kg1 Ra2 92.Bb7 Ra4 93.Kg2 Kd4 94.Bc6 Rb4 95.Kg1 Kc5 96.Ba8 Rb8
here too, White has only one move: the diagonal is only
just long enough for the White bishop.
97.Be4 Kd6 98.Kg2 Rb4 99.Ba8 Ra4 100.Bb7 Kc7 101.Bd5 Rd4 102.Ba8 Ra4 103.Bd5 Kd6 104.Bb7 Ra7 105.Be4 Ke5 106.Bc6 Ra6 107.Bb7 Rb6 108.Ba8 Rb8 109.Bc6 Kd6 110.Be4 Re8 111.Bf5 Rg8 112.Be4 Re8 113.Bf5 Re2+ 114.Kf1 Ra2 115.Bxg4 Ke5 116.Bf3 Kd4 117.Kg1 Ke3 118.Bd5 Rd2 119.Bc6 1/2-1/2
Rook vs Bishop part 4 - Supplement 1
1.Bc7 holds for now, but let's see if we can construct a different sort of net for the bishop. [1.Bf2 Ra1+ 2.Ke2 Ra2+ 3.Kf1 Rxf2+ 4.Kxf2 Kd3 5.Kf1 Ke3 6.Kg2 Ke2 7.Kg1 Kxf3 8.Kf1 Kg3 9.Kg1 f3 10.Kf1 f2 11.Ke2 Kg2-+]
1...Rf6 2.Ke2 Kd4 3.Kd2 Kd5 4.Kd3 Rf8 5.Ke2 Ke6 6.Kd3 Kf5 7.Ke2 Re8+ 8.Kf2 Rc8 9.Bb6 Rc2+ 10.Kf1 Ke5 11.Ba7 Rb2 12.Bc5 Rb5 13.Ba7 Kd5
And we've done it - it's a complete zugzwang! First, clearly enough, the bishop has no moves: it can't transfer to the b8-h2 diagonal, obviously enough, as that would hang the bishop, as would moving it to b6, c6, d4 or e3. 14.Bf2 and 14.Bg1 lose familiarly: Black forces the exchange of his rook for the bishop and wins the pawn ending. That leaves king moves, but it turns out that there aren't any good ones, because none of them stops the threat of 14...Rb7 15.Bf2/Bg1 followed by 2-3 rook moves forcing the winning pawn ending. The best try is
14.Ke2, but now
14...Kc4 renews the dilemma. All bishop moves lose, and all king moves but one allow 15...Rb7 followed by forcing the trade. We're left with only
15.Kd2, but now
15...Rb3
poses the final dilemma. Giving up the f-pawn loses, while 16.Ke2 returns to the lost pawn ending. Let's take a look at both, briefly:
16.Bg1 [16.Ke2 Rb7 17.Bg1 Rb2+ 18.Kf1 Rb1+ 19.Kg2 Rxg1+ 20.Kxg1 Kd3 21.Kg2 Ke2 22.Kg1 Kxf3 23.Kf1 Kg3 24.Kg1 f3 25.Kf1 f2 26.Ke2 Kg2-+]
16...Rxf3 17.Ke2 Rb3 18.Ba7 Kd5 19.Bf2 Ke4 20.Bc5 Rb2+ 21.Kf1
21...Kf3 [It's very important to remember that 21...f3?? leads to a draw: see Rook vs. Bishop: Ending 1 for the details.]
22.Kg1 Rd2 23.Bb6 Rg2+ 24.Kf1 [24.Kh1 Kg3 25.Bc5 f3-+]
24...Rb2 25.Ba5 Rb1+ 26.Be1 Rd1 27.Kg1 Rxe1+ 28.Kh2 Rf1 29.Kh3 Rh1#
Rook vs Bishop, part 4 - Supplement 2
1.Bg3 [1.Bd8 lines will be ignored this time around - we'll assume Black was careful earlier not to allow it. (I certainly recommend that the reader analyze this carefully, however, and try to determine if Black can evict the bishop and bring the king back around without allowing this defensive try a second time.)]
1...Ke4 2.Bd6 Rb6 3.Bc7 Rb2+ 4.Kg3 Rb7 5.Bd6 Kd5
Ironic, isn't it? The bishop's diagonal turns out to be too small here, too! Move everything down a rank and White has 6.Ba8; unfortunately, the way things are White needs 6.Ba9 to stay alive, and that's just not legal. The bishop must leave the diagonal, and sure enough, Black wins:
6.Bf8 Rb3+ 7.Kg2 Ke5 followed by 8...Kf4, 9...Kxg4 and so on, but not 7...Ke4? 8.Bd6 and Black has to start all over again.
Rook vs Bishop part 4 - Supplement 3
The first thing to note is that this is a pretty favorable starting position for Black. For instance, if the Black king were further back, White could put the bishop on the c8-h3 diagonal and his king on the third rank, and then Black would have a dickens of a time trying to make progress. When examining such positions, try out different Black pawn locations as well. Perhaps if the Black king has access to g5, that will undermine White's anti-Kf5 strategy - here Black needs that square, but if he has g5, then he might not! With those caveats - and, I hope, suggestions for tinkering on the part of the reader, let's take a look at this particular position, and see what's available. White to move should play 1.g3, as we know from the main game, but let's see what happens if he tries to keep the pawn on g2.
1.Ke3 Ra3+ 2.Kf2 g4 3.Bc6 Kf4 4.Bd5 Rd3 5.Bc6 Rd2+ 6.Kg1 [6.Ke1 Ke3-+ and the White bishop has nowhere to hide: if it moves to b7 or a8, Black plays Rb2 or Ra2, respectively, threatening both the bishop and a back rank mate.]
6...Kg3 7.Kf1 Rf2+ 8.Kg1 [8.Ke1 Rxg2 9.Kf1 Rc2 10.Ba4 Rf2+ 11.Ke1 (11.Kg1 Ra2) 11...Kg2 12.Bc6+ Kg1 13.Bd5 g3-+]
8...Rc2 9.Bb5 Rc1+ 10.Bf1 Ra1 11.Kh1 Rxf1#
Rook vs Bishop part 4 - Supplement 4
Finally, if the setup with the White pawn on g2 was overly passive, let's see if White fares any better here. Now there won't be any mating nets to worry about, and as we've also already seen, the exchange of the rook for the bishop doesn't lead to an automatic win, either. White's dark squares are seriously weak, obviously enough, but is it fatal? Let's see:
1.Ke4 Re8+ 2.Kd4 [No sense in making it easy for the Black king to get into the White position!]
2...Rb8 3.Kd5 Rb5+ 4.Ke4 Re5+ 5.Kf3 [5.Kd4 loses to 5...Rxf5 6.gxf5 Kxf5 7.Ke3 Kg4 8.Kf2 Kh3 9.Kg1 Kg3-+]
5...Re7 [5...Rxf5+? is only a draw, of course, as the White king is in front of the pawn and can easily maintain the opposition: 6.gxf5 Kxf5 7.Kg3 g4 8.Kg2 Kf4 9.Kf2 g3+ 10.Kg2 Kg4 11.Kg1! (11.Kf1?? Kf3 12.Kg1 g2 13.Kh2 Kf2-+) 11...Kh3 12.Kh1 g2+ 13.Kg1 Kg3 stalemate.]
6.Kf2 Ke5 [The king is in, but there's still a little work to be done.]
7.Kf3 Ra7 8.Kg3 Ra3+ 9.Kg2 Kf4 10.Bc8 Ra2+ Black needs to penetrate further with his king - cashing out with [10...Rg3+ 11.Kh2 Rxg4?? 12.Bxg4 Kxg4 13.Kg2 is a draw (though it wouldn't be one rank down). 13...Kf4 14.Kf2 g4 15.Kg2 g3 the reason why the previously commented-on position was winning a rank down is that if this position were one rank further down, White would have to bring the king to h2 (the equivalent of h3 here), but thanks to the availability of g1 (as opposed to the non-existent g0 in the parallel case), White maintains the draw: 16.Kg1 Kf3 17.Kf1 g2+ 18.Kg1 Kg3=]
11.Kh3 [11.Kf1 Kf3 12.Kg1 Rg2+ 13.Kf1 (13.Kh1 Kg3 and mating threats decide.) 13...Rc2-+ forces White to surrender the pawn, when the win becomes routine (Black slowly advances the pawn, with his king in front, as if heading for the Lucena position).]
11...Kf3 12.Bb7+ Kf2 and now White is threatened with ...Ra7-h7# ideas.
13.Bc6 Ra6 14.Be8
White seems to be okay: 14...Rh6+ 15.Bh5 and so what, right?
14...Kg1! Oops! White gets mated on the third rank instead:
15.Bb5 Ra3+ 16.Bd3 Rxd3#