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Rook endgames: the Lucena and Philidor positions

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Rook endgames are the most common kind of endgame in practical chess. Rooks are usually the last pieces to come into play and the last to be exchanged, so when the smoke clears it is very often a rook and some pawns each. Within that family, one situation comes up again and again: rook and pawn against rook. Two positions, both named after players of the past, contain most of what you need to know about it. One shows how the stronger side wins, the other how the weaker side draws.

Every result stated on this page (win, loss or draw with best play) was checked against an endgame tablebase, a complete database of all positions with seven or fewer pieces. Every move sequence was checked for legality with a chess rules library. So the claims below are not opinions; the only thing open to discussion is how best to explain them.

The Lucena position: building a bridge

The Lucena position is named after Luis Ramírez de Lucena, the author of one of the earliest printed chess books (1497), though the winning method itself appears in later works. In it, the attacking side has a pawn on the seventh rank, its king on the queening square in front of the pawn, and the defending king cut off from the pawn by at least one file.

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The Lucena position. The white king stands in front of its pawn on b8, the black king is cut off by the rook on the d-file, and the black rook watches the c-file. (White to move.)

White would like to move the king out of the way so the pawn can promote, but the black rook on the c-file stops the king from stepping to c7 or c8, and if the king goes to a7 or a8 the rook can start giving checks from the side or behind. The winning plan, known as building a bridge, is to bring the rook to the fourth rank first, so that it can later block those checks.

1.Rd4 Rc1 2.Ka7 Ra1+ 3.Kb6 Rb1+ 4.Kc6 Rc1+ 5.Kb5 Rb1+ 6.Rb4

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The bridge is built. The white rook on b4 blocks the checks along the b-file, and the pawn will promote. (Black to move.)

Follow the logic of the moves. Rd4 is the key preparatory move. Black has nothing better than waiting, so the rook makes a quiet move to c1 and keeps watching the c-file. Now the white king steps out to a7. Black checks from a1, the king walks towards the black rook, b6 then c6, and every check is answered by a king step closer to the rook. When the king reaches b5, the next check on the b-file is blocked by the rook moving to b4, the square it was prepared to reach. There are no more useful checks, and the pawn queens.

Two details make the method reliable. First, the rook must go to the fourth rank, not the fifth or sixth, so that it lands between the king and the checking rook at the end. Second, the defending king must be cut off. If the black king were close to the pawn, the bridge would not be enough, which is why the attacker should keep its rook on the file that separates the kings for as long as possible.

The Philidor position: the third-rank defence

François-André Danican Philidor, the leading player of the eighteenth century, analysed the most important defensive set-up. The defending king stands in front of the enemy pawn, and the defending rook guards the rank in front of the king, the third rank from the defender's point of view, here the sixth rank.

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The Philidor position. The black rook on the sixth rank stops the white king from advancing to e6 or f6. (White to move.)

As long as the black rook stays on the sixth rank, the white king cannot advance without walking into a check from the side. White's only way to make progress is to push the pawn to e6. But that pawn move takes away the shelter the king would need on the sixth rank. The moment the pawn arrives, the black rook drops to the first rank and starts checking from behind, and the white king has nowhere to hide.

1.e6 Rb1 2.Kf6 Rf1+ 3.Ke5 Re1+

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After e6 the black rook goes to the far end of the board and checks from behind. The white king cannot escape the checks without leaving the pawn. (White to move.)

Notice the timing. Black does not go to the first rank while the pawn is on e5, because then the white king would come to e6 or f6 with mating threats. Black also does not leave the sixth rank early for any other reason. The defence is a precise sequence of two ideas: hold the third rank while the pawn is behind it, then check from behind once the pawn has advanced.

What happens with a passive rook

The most common mistake in these endings is putting the defending rook on the back rank and waiting. It feels safe, because the rook guards the queening square, but it allows the attacking king to step forward with tempo.

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Same position, but the black rook waits on b8 instead of guarding the sixth rank. (White to move.)

With the rook on b8 instead of b6, the tablebase says White wins. The white king can come to f6 or e6, threatening mate on the back rank with the rook on a7, and Black runs out of good moves. A single square of difference in rook placement changes a draw into a loss, which is why the Philidor idea is worth knowing exactly.

General lessons for rook endings

These ideas are a starting point. Real rook endgames often have more pawns, and the famous saying that "all rook endings are drawn" is an exaggeration with some truth in it: the defender usually has more resources than the attacker expects. If you understand the two positions above, you will recognise when you are heading for one of them and steer towards the version that suits you. For the simpler king-and-pawn endings that rook endings often turn into, see endgame basics.