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![]() 1.c7 Kb7, White has no chance and will lose the K vs K and Q in a few moves. redfox17's suggestion 1.Kg7 makes a lot of sense, moving left wards and downwards in a single move. This is where the geometry of the chessboard comes in. That the distance between h8 and a1 is the same as between h8 and h1 makes all the difference. The solution offered by redfox17 just doesn't quite work: it just needs the slightest of tweaks at move 4. I'll give the first three moves of his line here, in a more conventional format: 1.Kg7! h4 2.Kf6! h3 3.Ke6! h2 Now, 4.Kd6 doesn't quite work though it is in the spirit of the thing. It's just a wee bit too slow. So what should White play instead? Note that in all these moves, you have to ask yourself, what if Black plays ...Kb6 instead of advancing the pawn? I'll do the first move, and you can analyse the rest: 1.Kg7 Kb6 2.Kf6 h4 (if 2...Kxc6, 3.Kg5=) 3.Ke5! h3 (If 2...Kxc6 3.Kf4=) 4.Kd6 h2 5.c7 = Both sides will Queen, and neither can gain a winning advantage afterwards. |
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![]() is a draw, as neither can force the win of the opponent's Queen. With Black to play, all White has to do is avoid skewers - moving into skewers or being forced into skewers. That is not difficult. The WQ stays on c8 (keeping the BK confined to the a and b-files), and the W-King moves on dark squares, staying away from the 8-rank. Simple. |
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![]() Whate to play: what result? Let us begin with the main line. redfox17 came very near the solution: 1.Kg7! h4 2.Kf6! h3 3.Ke6! h2 Now, 4.Kd6 doesn't quite work though it is in the spirit of the thing. It's just a wee bit too slow. So what should White play instead? Before revealing all, the slightly better 4.Kd7 is also not good enough. Although White gets a protected Bishop's Pawn on the 7th rank, the relative position of the Kings rules out any hopes of a the Stalemate tactic (after 4.Kd7 h1=Q 5.c7 Qd5ch 6.Ke7 Qc6 7.Kd8 Qd6ch 8.Kc8 Kb6 (NOT ...Ka7 Stalemate!) 9.Kb8 Qxc7ch and mate next turn). So White should go for promotion himself: 4.c7! ... Now, if 4...h1=Q, 5.c8=Q is check! So Black can't 'get in' the skewer by 5...Qh3ch! 4... Kb7 5.Kd7! h1=Q 6.c8=Qch ... And White draws easily by continually checking the enemy King, and taking the first opportunity to exchange Queens. In a previous posting I enquired into what happens if the Black King makes an early attempt to inhibit the White Pawn's advance. In the following ...Kb6 comes at move 1. You can try for yourself whether waiting until the 2nd or subsequent moves will make a difference. 1.Kg7 Kb6 2.Kf6 h4 (if 2...Kxc6, 3.Kg5=) 3.Ke5! h3 (If 2...Kxc6 3.Kf4=) 4.Kd6 h2 5.c7 = There you have it: both sides will Queen, and neither can gain a winning advantage afterwards. It is this sort of thing that can make end games as much a joy to play as other phases of the game. True, more often than not one has to grind out a win from a scanty advantage, or eke out a problematical draw. I have has quite a few of the latter! |
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![]() White to play ... and win! White is a pawn ahead in a rook and pawn vs lone rook ending. Normally such endings are very difficult to win, unless there is some special feature that compromises the defence. Here, the Black king is for the moment cut off by the rook at d1. On the other hand how is the White king to help push the pawn through? In fact were the Black king standing at c6, there would be no win. With that hint, you might want to pause here and have a go for yourself... The difference between studies and 'problems' is that usually the first move of the study is obvious. The rook is doing fine where it stands, the pawn can't move, therefore: 1.Kf4 Rf8ch 2.Kg5 Re8 Checking again will only help White (e.g. 2...Rg8ch 3.Kf6 Re8 4.e5) 3.Kf5 Rf8ch 4.Kg6 Re8 What now? K back to f5 repeats the position, and if 4.Re1, the BK intervenes at d6 (5.Re1 Kd6) 5.Rd4! ... Protecting the pawn from a flank. Often this sort of thing is pretty awkward, but here it's a game winner. Note that had the Black King stood at c6, he could kibosh White's scheme by 5...Kc6-c4 6.Ra4 Kb5 7.Rd4 Kc4 etc. 5... Kc6 (hoping... But there's really nothing else to do) 6.Kf7 Re5 7.Kf6 Rh5 (...or Re8) 8.e5 Rh6ch 9.Kg5 Re6 10.Kf5 Rh6 11.e6 ... You can see from this that whilst the WR holds back the Black King, the White king will shepherd the pawn home against the attentions of the enemy rook. This closing motif, by the way, can be a game saver, and ought packed into your technical bag of tricks: This situation looks bad for Black after... 1.Kb7 ... One way or another, this is going to cost Black his rook. He bites the bullet: 1...Rxa7! 2.Kxa7 h4 3.Rg1 ... Hoping for a moment's carelessness from Black: 3...h3?? 4.Rg3 h2 5.Rh3 and White wins) 3...Kf4 And now there is nothing more that White can do except to return the compliment - exchange rook for pawn 4.Rg8 (say) h3 5.Kb6 h2 ... and as 6.Rg2 won't work (and will lose) ... 6.Rh8 Kg3 7.Rg8ch Kf2 8.Rh8 Kg2 9.Rg8 Kh1! 10.Rh8 ... ... a King move or any rook move on the g-file is Stalemate. 10... Kg2 etc. Very useful to know if ever you find yourself in trouble in a rook end game. Of course, this defence won't work if the enemy King is close by, and/or your own king is far away from the pawn. |
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![]() In the diagram, White is in very serious trouble: His rook is under direct attack, and Black is about to promote the pawn. How can White possibly save the situation? As this one is pretty arcane and surprising to me as well, I'll play it through here, just for our entertainment ... and learning. 1.Re5 ... The first move is obvious, to gain time... 1... Kf6 But so is Black's, to retain the 'double' threat. So what now? If 2.Bxd4 d1=Q White has no good discovered check (e.g. 3.Rh5ch Qxd4ch [simplest] 4.Kxd4 Rxh5). There is nothing for it but to take the pawn. 2.Kxd2 ... Now Black can [A] take the rook at once, or [B] fork King and rook and take it with the knight. [A] 2...Kxe5 3.Kd3 Rh4 So White is not going to win the knight and draw the K+B vs K+R endgame (a standard draw unless the defender is VERY unfavourably placed). 4.Kc4 ... Suddenly Black has a problem: what to move, and where? He can not unpin the knight! Any King move by Black leaves White safely able to play Bxd4 and draw the bishop vs rook end game. The rook can shuffle along the rank, but the bishop shuffles along the diagonal maintaining the pin. And finally, Black can't hope for a counter-pin after, say, ...Rh3 as Bxd4 is check! A whole rook ahead, in a 5-man end game, and Black can not win! Talk about the power of the pin! OK, then, let's try ... [B] 2...Nf3ch 3.Ke3 Nxe5 4.Ke4 Rh5 5.Kd5 ... ! It's the same thing again! The action has simply been moved up a rank. To my mind this is astonishing chess, beautiful, and educational as well. The instructive bit, I think, is in the final tableau: the knight pinned so absolutely that even the extra rook can not break the deadlock. That can serve as a potential aiming point if you find yourself late in the game, and hence the basis of a plan. Of course, it will serve only if that position, or an analogue of it, can feasibly be brought about. |
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![]() I'll be honest and tell you that I don't know in detail how to win this type of end game in general (my three wins out of three against it have all been from favourable positions, winnable in maybe a dozen moves or less), but I can outline the plan: 1. Drive and corral the King into a small area; 2. Drive and corral the king against the edge of the board; 3. Drive the King towards the corner covered by the bishop. During this process, you have to count on the defender making a sudden dash TOWARDS the danger corner in order to escape out into mid-board somewhere. The reason for 3 is that the 'bishop's' corner is the only place where mate can be forced, as in Joe's example above. That mate can be DELIVERED on any edge square does help towards this 'driving' technique, because in avoiding it, the defender can be driven to where the attacker desires. |
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![]() As you can see, this is far from ideal for the attacker. The BK (Black king) has the run of the board. White's plan: 1. Drive the BK to the edge of the board. 1A. Create a blocking position with B and N to free... 1B. ...the WK to manoeuvre the BK to the edge of the board. 2. Drive the BK to a corner the bishop can reached. Though there are several deliverable mates, the ONLY FORCIBLE mate is one delivered by the bishop. Black's plan: 1. Stay away from the edge of the board 2. Stay away from the corner the bishop can reach (a8 and h1 in this instance). 3. Be prepared to make a dash for freedom TOWARDS the danger corner if there is a chance of escaping into mid-board. 4. In sum: survive for 50 moves! I'll tell you right now that as from the diagram position it will take at least 30 moves to win, White will have to play accurately to frustrate this plan! Let us begin: PHASE 1: Driving the King to the edge: 1.Bg2 Kd4 Black will try and stay mid-board for as long as he can 2.Kd2 Ke5 3.Ke3 Kf5 4.Nd3 Kg5 There are other places the BK could go, but this is as good as any. 5.Be4 Kf6 Now, check this out: The White minor pieces have set up a sort of wall running c6-c5-f5-f2-g2. To get around that wall, the BK would have to skirt very close to the danger corners - he won't do that! Now the WK can manoeuvre. 6.Kd4 Ke6 7.Kc5 Ke7 8.Kd5 Kf6 Black keeps well away from a8 or h1. 9.Kd6 Kf7 10.Ke5 Kg7 (Best) 11.Ke6 Kg8 12.Ne5! ... Now that the BK has his back to the edge of the board, we can break up our blocking position to constrain Black further. 12... Kh8 Or ...Kf8... 13.Kf6 Kg8 PHASE 2: The 'W' Manoeuvre. This describes the moves of the knight between the 5 and 7 ranks as it drives the BK along the 8 rank towards a8. It could equally well be the '3' manoeuvre, the 'sigma' or the 'M', depending on which edge of the board we are looking at! Check it out from this new diagram: 14.Nf7! Kf8 Forced, as White's minor pieces now cover the h-file 15.Bh7! Ke8 Again forced. You will see this N/B motif repeated further along. 16.Ne5 ... Now, here is a parting of the ways. Black can try and cleave to the dark-square corner [Line A] or choose now to make a dash for freedom and escape via c7 and b6, say [Line B]. Line A: 16...Kf8 Passive resistance 17.Nd7ch ... See how the knight manoeuvres, so far f7-e5-d7... When next it moves, it will be to c5 then to b7, completing the 'W'. 17... Ke8 18.Ke6 Kd8 19.Kd6 Ke8 20.Bg6ch! Kd8 His bolthole slammed shut, Black has to continue his weary journey to his doom... 21.Bf7 ... An important finesse to drive the BK further. This is exactly analogous to White's 15th move. You will see a similar manoeuvre along the h3-c8 diagonal soon... 21...Kc8 22.Nc5 Kd8 23.Nb7ch Kc8 24.Kc6 Kb8 25.Kb6 Kc8 26.Be6ch ... Here we go again! 26...Kb8 27.Bd7 Ka8 28.Nc5... The 'W' manoeuvre has served its purpose, now we finish off the mate. 28... Kb8 29.Na6ch Ka8 30.Bc6# OK, that was the Black King being dragged, kicking and screaming, to the scaffold. Lets see what happens when he tries the jail-break option. Line B: I'll repeat the diagram here, after White's 16th move: 16...Kd8 It is clear that White is less well placed to contain the King on the Q-side. The upside is that Black has to skirt close to the fatal a8-square. 17.Ke6 Kc7 18.Nd7! ... Shuts down the dark squares... 18... Kc6 Threatens to break out via b5... 19.Bd3!... Shuts down the light squares. This creates a new wall, the only way out being via ...d8. 19....Kc7 To keep the WK back 20.Be4 ... Further constraining the enemy King. Note that it is impossible for the BK to reach a8 at the moment, but that's OK for White. We don't want him there just yet. 20...Kd8 21.Kd6 Ke8 22.Bg6ch Kd8 23.Be7 ...Remember this? 23... Kc8 24.Nc5 ... ... and this? All this is from Line A. So it continues. 24.... Kd8 25.Nb7ch Kc8 26.Kc6 Kb8 27.Kb6 Kc8 28.Be6ch Kb8 29.Be7 Ka8 30.Nc5 Kb8 31.Na6ch Ka8 32.Bc6# The jailbreak attempt bought the BK two extra moves of freedom, no more. Before leaving this, I ought to mention that you could vary the moves a bit if you wanted to - and in fact there is another way to round up the BK after the jailbreak attempt, but I'd recommend committing the method given here down to the moves and the move order. If this will win you the game, what more do you need? |
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![]() Kings that stand on the same rank, file, or diagonal, with one square between them, are said to be in Opposition. The side whose OPPONENT has the move is said to 'possess the Opposition'. Consider this simple position: Here it is Black to play, so White 'has the Opposition'. It is a big advantage, for if Black plays: [A] 1...Kf7 2.Kd6 Ke8 3.Ke6 Kf8 4.Kd7 Kf7 (At last Black gets the Opposition - when it is no help whatever 5.e5 and wins [B] 1...Kd7 2.Kf6 ... (with the same result as before, mirror-imaged. [C] 1...Ke8 2.Ke6 Kf8 (or ...Kd8, as before, makes no difference) 3.Kd7 Kf7 4.e5 OK, suppose in this same position (reversed), BLACK has the Opposition? Can White still win? Let's suck it and see: 1.Kf5 Kf7 Keeping the Opposition 2.e5 ... If the WK retreats, the BK will advance, and it's pointless going back to e5, so, the pawn advances instead 2...Ke7 Now, the White King can't really take up the Opposition (3.Kg5 Ke6 4.Kf4 Ke6 5.Kf5 Kf7) 3.e6 Ke8 4.Kf6 Kf8 Black has the Opposition again! 5.e7 Ke8 6.Ke6 ... Stalemate! Continued nezt posting. |
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![]() It is Black to play; White has the Opposition. It is fatal: 1...Kf6 2.Kd5 ... and wins; 1...Kd6 2.Kf5 ... and wins. Now let's reverse the situation: White to move; Black has the Opposition. White simply dare not play 1.Ke3?? as after 1...Ke4, Black keeps the Opposition and, as we have just seen, will win easily. Can White save himself, then? Yes, he can: 1.Kd3! ... (1.Kf3! is the same) 1... Ke4 2.Ke3 ... seizing the opposition, and we have the diagram position with colours reversed! So Black will play 2... Kd6 3.Ke4 Ke6 Opposition! The position will soon be drawn by three-fold repetition. In such a situation, Black might wiffle around with his King hoping for a slip by White that will bring about the fatal Opposition. It won't help: 1.Kd3 Kd6 2.Ke4 Ke6 Just repeats the position. |
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![]() Instead, black should've played 3...Kc4. And, after 4.Kxe3 Kb3, the game would end in a draw by dead position. As black would be free to take that pawn, leaving the final position with just the monarchs on the board. |
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