1. P-K5, B-R4; 2. K-K3, K-B2; 3. K-K4, K-K2; 4. P-B5, B-Kt5; 5. P-B6ch, K-B1; 6. P-K6, B-R6; 7. B-R4, B-Kt5. White can only get through with the King’s Pawn, as P-B7 is unavailing on the grounds set out above. But in order to play P-K7, the square K7 must first be covered a second time, so that the Bishop cannot be given up for the two pawns. Therefore: 8. K-Q5, B-R6 (B-B6; P- K7ch); 9. K-B6, K-K1; 10. K-B7ch, K-B1; 11. K-Q7, and wins.
In end-games with one Knight on each side, an extra pawn usually decides the game much in the same way as in end-games with Bishops of the same colour; frequently even with equal pawns, the possession of a passed pawn is sufficient, as it keeps either the King or the Knight busy, so that there is only one piece available for the defence of the pawns. An instructive example is the end-game Ed. Lasker-Rotlevi on p. 100.
End-games with Rook against Rook are the most frequent, as well as the most difficult. Here the possession of an extra pawn is seldom sufficient for a win, unless the stronger side has also an advantage in the greater mobility of the Rook. Diagram 78 is typical of such cases, frequent in practice, in
Diag. 78
which the greater mobility is the deciding factor. Although White has one pawn more, he can only win by reducing the mobility of the Black Rook through the following manœuvre: 1. R-B2, R-Q2; 2. R-R2, R-R2. Now the Black Rook has only one move left, whilst the White Rook has the freedom of the Rook’s file. For instance, the Rook can be posted at R5 and prevent the Black King from attacking White’s King’s side pawns, whilst the White King makes for the R at R7 and effects its capture. If, on the other hand, the Black King tries to obstruct the way to the Queen’s side, White penetrates into the Black pawn position. Black cannot maintain the opposition because the White Rook has spare moves, the Black Rook none. e.g. 3. K-B3, K-Kt3; 4. R-R5, K-B3; 5. K-K4, K-K3; 6. R-R4, P-Kt3; 7. R-R5, K-Q3; 8. K-Q4, K-B3; 9. K-K5, and wins the pawns.
Having the move, Black would draw the game by: 1. … R-Q7ch; 2. K-R3, R-R7. By placing his Rook behind the passed pawn he condemns the opposing Rook to inactivity, whilst his own is free to move on the Rook’s file. If now the White King comes up, he will in the end force the sacrifice of the Black Rook for the pawn, but meanwhile the Black King captures the White pawns, and with passed pawns on the King’s side might get winning chances.
When there is only one pawn left in endings of R against R, the weaker side maintains the draw, if the King can command the queening square. Diagram 79 shows a position favourable to the stronger side, and which can mostly be obtained in this end-game. But here, too, Black forces a draw with a pretty manœuvre: 1. … R-B2; 2. R-KKt2, R-Q2ch; 3. PXR, and Black is stalemate.
Diag. 79