A "random page" from a Soviet desk calendar presents a chess problem whose FEN encoding is
Q7/3N3k/7p/6q1/8/8/8/5K2 w - - 0 1
Using an endgame tablebase, we discover the position is Mate in 20, with unique winning move Nd7-f8+. Eventually one reaches the position:
6qk/8/4N2p/5Q2/8/8/8/5K2 w - - 0 1
The unintuitive move Kf1-f2 wins in 8; the more obvious move Qf5-f6 wins in 10.
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