I think that there must be a hint providing feature like if the problem is related to geometry then the theorem to be used can act as a hint.I am not telling to give more than 1 hint but just give the name of the topic or concept used in it.Like in a polynomial problem the hint can be remainder factor theorem etc..In a combinatorics problem Pigeon Hole principle can be a hint.It is just a suggestion.!
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In exchange for a minimal no. of points, of course.
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It is obvious!!!!
Maybe half the number of points needed to reveal all of the solutions for the particular problem.
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Yea it probably is too high. 1/3 sounds reasonable I think if they were to implement it.
I think that's too much - on level 5, that value would range from 30 to 60. I would go with maybe 1/3 or 1/4.