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Message: [QUOTE="Josh Cheek, post: 4652742"] [Note: parts of this message were removed to make it a legal post.] In that case, the cardinality of the solution set is 1, perhaps not desirable for a guessing game, but it is not stated that this should not happen, and if no minimum range is specified, then it is subjective where that line is drawn. ie if a solution set with cardinality 1 is not appropriate, then what about a solution set with cardinality two? At what point do we say the numbers are sufficiently far apart that they are acceptable? Perhaps a different approach is required altogether. Instead of giving the maximum value the numbers can be, give the minimum and maximum difference between the numbers. I don't see much value in a minimum number anyway, choosing a random number between 90 and 100 doesn't seem to offer anything over choosing a minimum number between 0 and 10. While I think saying "give me an upper bound between 10 and 20, with a target between 0 and that number" is a better approach, it is not what was asked for, and I thought it would be better to answer the question as asked, than to impose my own restrictions. [/QUOTE]