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There are possibilities of a player mating its opponent with only King and Knight or King and Bishop, but then there must be a piece of the opponent blocking the escape of the King. Diagram 10 is an example of such a case. White plays (1) Kt-c5, K-h1; (2) Kt-e4. Now Black cannot continue with P-h2, as White would checkmate with Kt-g3. Therefore, he must play (2) ..., K-h2. White then gets the Knight in such a position as to deprive Black's King of the escape to h2 and to keep the square g3 accessible to the Knight: (3) Kt-d2 (not Kt-g3, which would stalemate Black's King), K-h1; (4) Kt-f1. The only move left to Black is now P-h2, and White mates by (5) Kt-g3.
If it were Black's move in the position of the Diagram the game would be a draw, for after (1) ..., K-h1; (2) Kt-c5, P-h2 Black is stalemate unless White moves its King so as to make the square g1 accessible to Black. However, he will not do that as it would enable Black to queen the Pawn and to win the game.
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