alt Hacker NewsI think I'm having trouble understanding why this is so complicated/requires so many sides.
If I imagine a 3-sided die, for simplicity, you should be able to have this result if the sets are [1,5,9],[2,6,7],[3,4,8]. And so on for larger numbers of players. Why doesn't this work?
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pfedak • today at 1:26 AM
You might want to check that your proposed solution works at all before suggesting the problem is trivial. What's the probability that the first die goes first with your numbers?
You also can't generally "and so on" constrained combinatorial arrangements like this.
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This is not exactly perfectly fair - appears that the first player wins 11/27 times and the other two win 8/27 each.