Leopold Mitrofanov

Famous study

Unfortunately, Mitrofanov's original study (as below, but with Black's knight on f3 rather than g2) was subsequently found to have a cook, a miraculous defense that enabled Black either to obtain perpetual check or reach a drawn ending. After correction, the study remains notable. According to Tim Krabbé, "[i]t would be my candidate for 'study of the millennium'".

From the position at above left:

1.b6+ Ka8  

Allows Black's bishop to interpose on b8 after White queens his g-pawn.
If 1...Kb8, then 2.g7 Kc8 3.g8(Q)+ Kd7 4.Qe6+ Kd8 5.Qxd6+ Ke8 6.Rxe5+ Kf7 7.Qg6+ Kf8 8.Re8#.

2.Re1!  

Sacrifices the rook to avoid checks along the first rank from Black's soon-to-be-created queen on h1.
If 2.g7, then 2...h1=Q draws; all other 2nd moves lose for White.

2...Nxe1  

If 2...Nc4+, then 3.Kb5 winning.

3.g7 h1(Q)  

If 3...Nc4+, then 4.Kb5 h1(Q) 5.g8(Q)+ Bb8 6.a7 Qh2 (6...Nd6+ 7.Kc6 Qxd5+ 8.Kxd5 Kb7 9.axb8(Q)+ Ka6 10.Kxd6 Kb5 11.Qb3+ Ka6 12.Qa8#) 7.axb8(Q)+ Qxb8 8.Qxb8+ Kxb8 9.Kxc4 +-) Na3+ 7.Kc6 Qh2 8.axb8(Q)+ Qxb8 9.b7+ Ka7 10.Qg1+ Ka6 11.Qb6#.

4.g8(Q)+ Bb8
5.a7 Nc6+  

Since 5...Qxd5+? is met by 6.Qxd5 Nc6+ 7.Qxc6#, Black must sacrifice the knight in order to enable his queen to give check.
5...Nd7 is rebutted by 6.Qe6 Nc5 7.axb8(Q)+ Kxb8 8.Qd6+ Ka8 9.Qd8+ Kb7 10.Qc7+ Ka8 11.Qa7#.

6.dxc6 Qxh5+  

(see position at above right) Now what? If 7. Ka4 Qh4+ or 7.Ka6 Qe2+ or 7.Kb4 Qh4+, Black will keep checking.

7.Qg5!!  

Mitrofanov's amazing conception. Having previously sacrificed the rook in order to avoid horizontal checks by Black's queen, White now sacrifices the queen, with check, solely to avoid diagonal checks from Black's queen. At first blush, the move looks like a misprint. Upon being shown this move, grandmaster Leonid Yudasin reportedly said: "What?! The queen is given for nothing – and with check!" Victor Charusin, an ICCF International Master and author of the book Mitrofanov's Deflection, called it "a move from another world." Krabbé observed: "White lifts his mating threat, the pin of [the bishop on b8], lets his Queen be captured with check on an unguarded square, remains with a few pawns against Queen, Bishop and Knight – and wins."

7...Qxg5+ 

7...Qe8 8.b7+! Kxa7 9.Qc5#

8.Ka6  

Threatens 9.b7#

8...Bxa7  

If 8...Qb5+, then 9.Kxb5 Nc2 10.c7! Na3+ (or 10...Nd4+) 11.Ka6 and mate next move.
If 8...Qa5+, then 9.Kxa5 Bxa7 10.c7!! and the winning method is as shown in the main line.
Following 8...Bxa7, 9.b7+? only draws (9...Kb8 10.c7+ Kxc7 11.b8(Q)+ = (11...B(K)xb8 is stalemate)) and after 9.bxa7?? Qc5 it is mate in 4.

9.c7!!  

(see diagram below) An incredible position. Black, with a queen, bishop, and knight against White's two connected passed pawns, is helpless against the dual threats of 10.b7# and 10.c8(Q)+. Note that if the queen were on any other square of the board where it is not already giving check, Black would easily win. Only on g5 does Black have no checks that do not lose the queen.

9...Qa5+  

9...Qd5 10.c8(Q)+ Bb8 11.b7+ Qxb7+ 12.Qxb7# and 9...Qg6 10.c8(Q)+ Bb8 11.Qb7# lose even quicker.

10.Kxa5 Kb7  

All other Black moves result in mate in two. The paradoxical nature of this problem is highlighted by the fact that Black is now losing because of the two minor pieces. Without the knight, Black draws with 10...Bxb6+ 11.Kxb6 stalemate; without the bishop, Black draws with 10...Kb7 followed by Nd3-e5-d7xb6.

11.bxa7 1-0  

One of the pawns will queen; White mates in (at most) 11 more moves.