Thanks, I almost forgot how to win these!
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Key Position 1 (Philidor Position)
In conclusion, Queen vs. Rook is really difficult to win, as shown by the fact that I had to use the Syzygy endgame tablebase for key position 3. However, some of the defending side's best moves are truly unintuitive, so it may be much easier against a human.
Also, the winning side has to watch out for some drawn positions
Key Position 4
However, shifting it by a single file can have massive consequences: