My individual students saw this endgame last week and then most of them solved some exercises from Georges Renaud and Victor Kahn, The Art of the Checkmate (1953). My afterschool club solved worksheets with checkmate in one. This week, they will see mates in two from some of the same games.
Black to move
56...Rxf6??Simple counting shows that the next diagram will be reached. I should have played 56...Rc4.
57.Kxf6= Kf4 58.Ke7 g3 59.Kxd7 g2 60.c6 g1Q 61.c7 Qa7
White to move
62.Kd8??Now, we have reached a position that I know from endgame books. 62.Kc6 was the only move to hold the draw.
62...Qb6??
I know, but did not do. After 62...Ke5-+ 63.c8Q Kd6, White is in zugzwang with a worthless king. In fact, Black has a mate in three.
63.Kd7= Qb5+ 64.Kd8 Qd5+ 65.Kc8 Ke5 66.Kb8 Qb5+ 67.Ka7 Qc6 67.Ka7 Qc6 68.Kb8 Qb6+
White to move
69.Kc8??69.Ka8=. Knowing this stalemate resource is essential to understanding why a c- or f-pawn against the queen is a draw when the pawn is one square from promotion.
69...Kd6-+
White resigned.
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