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Every Russian Schoolboy Knows: Rook and Knight vs. Rook - Part 2

Opening: D27, D47, E05:

Player(s): Kramnik, Kasparov, Gelfand, Lautier, Fominyh, Mohota

An extra piece usually means a clear win in the endgame. The attacker must, however, make sure he doesn't run out of pawns. The pawnless R+N vs R ending is a draw, but there are exceptions. 
Video 2 - Things get more interesting when we add a pawn to the strong side. Unlike in positions with a bishop as the extra piece, protecting that last pawn with a knight is not always automatic. The famous Kramnik-Kasparov endgame illustrates it well. The problem is in the nature of the knight as a short-range piece. In order to protect the last pawn it must stay close to it, and therefore it might itself become a target for attacks. Unless the king can join in and help, the situation may result in a "positional draw". The attacker must keep an open mind and look for possible transitions to a winning rook endgame. Such a strategy was correctly attempted in the two following examples, but ironically so, it was the attacker who failed to carry it through to the victory.

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