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Any problem with the Countdown Numbers Game as a name? Any variations on it could simply be called Modified Countdown Numbers Game.

I'm glad there's an established name to attach to this problem but when I searched for them I didn't find variations of "Countdown numbers round problem/game" mentioned in books on mathematics/theoretical CS or in research articles. The idea behind the basic problem seems obvious and must have occurred to many people, so the lack of such mentions makes me suspect it may have a different canonical name as a specific type of combinatorial optimization problem. If there isn't one then "Countdown numbers (round) problem" will do just fine (I'd say "problem" is better than "game" because looked at like this it is not a game with players in a game-theoretical sense).

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