


And now, the solutions:
Position 1: 1.c3! - the threat of Bxg5 followed by Qa2+ was fatal in O. Hansen-Beliavsky, Plovdiv 1983, which continued 1...Bxg6 2.Bxg5 hxg5 3.Bxg6 Qf6 4.Rb1! with an irresistible attack that concluded the game in six more moves.
Position 2: 1.g5! fxg5 2.c4! - the threat of Qc3+ (or more generally, a threat of a queen check on the a1-h8 diagonal, e.g. after 2...b4 3.Bd3 and 4.Qb2+) wins the game. (1-0, G. Kuzmin-Averbakh, Moscow 1974)
Position 3: 1.Ne6+ Kg8 2.Qd1! - Black's bishop is in big trouble due to the threat of Qb3, and after 2...Ng6 (2...Nc8 3.Nd8 Qc4 [else the White queen checks on the a2-g8 diagonal] 4.Qd7 wins) 3.Nd8 forced resignation in Kinderman-Tatai, Budapest 1987.
How did you fare? More importantly, did you do better each time? All three puzzles are alike in several important respects: in each case, White has an imposing-looking buildup on the kingside, but the secret to breaching Black's defenses is to move the queen seemingly away from the action, to enable her to seize a crucial long diagonal.
This idea is very easy for us to miss - or at least it was for me. (Note: the puzzles in the Gaprindashvili book are not consecutively placed, nor are they sorted by tactical themes.) If we're attacking the enemy king and have several pieces loaded up at his gates, our natural inclination is to find still more pieces for the pile-up, and that inclination will serve us well most of the time. But not always.
Chess is full of exceptions, but sometimes we can find tools for imposing order on even unfamiliar positions. One idea that might work for puzzles like these is to look at things backwards. What I mean is that instead of looking from White's point of view, we might try to see things from the Black king's perspective. Were we to do so, the importance of the key diagonals becomes much more obvious. (Especially in the first position and in the second after 1.g5 fxg5.) Given White's battle array in all three cases, it's hard to change gears and find moves like 1.c3 (first position), 2.c4 (second position) and 2.Qd1 (third position), but when we think based on the enemy king's point of view, our odds of success increase.


