YCombinator
2016-04-10, 10:58 PM
How are you considering those the top 10?
Just for the record, here are all of the valid point buys that sum to 27 along with their total points. Sorted by most points. You'll notice the obvious, which is that the most equitably distributed have the highest point total. The OP's idea of top ten seems to come from the idea of having a few large stats (at most three) and maximizes them.
(75,[12,12,12,13,13,13])
(75,[11,12,13,13,13,13])
(75,[10,13,13,13,13,13])
(74,[12,12,12,12,12,14])
(74,[11,12,12,12,13,14])
(74,[11,11,12,13,13,14])
(74,[10,12,12,13,13,14])
(74,[10,11,13,13,13,14])
(74,[9,12,13,13,13,14])
(74,[8,13,13,13,13,14])
(73,[11,11,12,12,12,15])
(73,[11,11,11,12,14,14])
(73,[11,11,11,12,13,15])
(73,[10,12,12,12,12,15])
(73,[10,11,12,12,14,14])
(73,[10,11,12,12,13,15])
(73,[10,11,11,13,14,14])
(73,[10,11,11,13,13,15])
(73,[10,10,12,13,14,14])
(73,[10,10,12,13,13,15])
(73,[9,12,12,12,14,14])
(73,[9,12,12,12,13,15])
(73,[9,11,12,13,14,14])
(73,[9,11,12,13,13,15])
(73,[9,10,13,13,14,14])
(73,[9,10,13,13,13,15])
(73,[8,12,12,13,14,14])
(73,[8,12,12,13,13,15])
(73,[8,11,13,13,14,14])
(73,[8,11,13,13,13,15])
(72,[10,11,11,11,14,15])
(72,[10,10,11,12,14,15])
(72,[10,10,10,14,14,14])
(72,[10,10,10,13,14,15])
(72,[9,11,11,12,14,15])
(72,[9,10,12,12,14,15])
(72,[9,10,11,14,14,14])
(72,[9,10,11,13,14,15])
(72,[9,9,12,14,14,14])
(72,[9,9,12,13,14,15])
(72,[8,11,12,12,14,15])
(72,[8,11,11,14,14,14])
(72,[8,11,11,13,14,15])
(72,[8,10,12,14,14,14])
(72,[8,10,12,13,14,15])
(72,[8,9,13,14,14,14])
(72,[8,9,13,13,14,15])
(71,[10,10,10,11,15,15])
(71,[9,10,11,11,15,15])
(71,[9,10,10,12,15,15])
(71,[9,9,11,12,15,15])
(71,[9,9,10,14,14,15])
(71,[9,9,10,13,15,15])
(71,[8,11,11,11,15,15])
(71,[8,10,11,12,15,15])
(71,[8,10,10,14,14,15])
(71,[8,10,10,13,15,15])
(71,[8,9,12,12,15,15])
(71,[8,9,11,14,14,15])
(71,[8,9,11,13,15,15])
(71,[8,8,12,14,14,15])
(71,[8,8,12,13,15,15])
(70,[8,9,9,14,15,15])
(70,[8,8,10,14,15,15])
(69,[8,8,8,15,15,15])
If maximizing your top three ability score points is what you care about, here are the top 11. Can't do top ten because there are so many ties. The #12 slot, however is only 42 points.
(45,[8,8,8,15,15,15])
(44,[8,9,9,14,15,15])
(44,[8,8,10,14,15,15])
(43,[9,9,10,14,14,15])
(43,[9,9,10,13,15,15])
(43,[8,10,10,14,14,15])
(43,[8,10,10,13,15,15])
(43,[8,9,11,14,14,15])
(43,[8,9,11,13,15,15])
(43,[8,8,12,14,14,15])
(43,[8,8,12,13,15,15])
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