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Every so often I find myself wanting to get someone into puzzlehunting who I think might be really interested but doesn't have experience with it.
I'd prefer to find puzzles that are elegantly constructed in ways that make decent sense and perhaps have a reasonable amount of clueing to lead people to the answer.
Off the top of my head, I can think of this one:
Contrast that with a puzzle that was decidedly suck, such as this one: http://web.mit.edu/puzzle/www/2000/set2/1/Puzzle.html (to see the solution, click "back to puzzle list" then click "solution 1").