Create a computer program which will defend chess problems, e.g., mate in N, against you, making sure to make you play against all possible defenses.
This could be done with a database stored with the problem, but also could be assisted by a chess engine which "compresses" the database; don't need to store moves that an engine will discover.
This has almost certainly already been done. The interesting aspect is that a medium much, much smarter than paper (the old way of distributing chess problems) significantly adds to the enjoyability and accessibility of an old art form.
Tsumego for go 囲碁
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