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*Dungeons & Dragons
Companion thread to 5E Survivor - Subclasses (Part XIII: Warlock)
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<blockquote data-quote="EzekielRaiden" data-source="post: 8820859" data-attributes="member: 6790260"><p>Technically speaking, there's a relatively tight range of possible votes.</p><p></p><p>The absolute minimum would be if everyone upvoted one single option universally, which would take exactly 130 votes (because there would be 13 things to vote down, each requiring posts to kill.) Alternatively, if it goes down to the very wire (so the penultimate post leaves either 1/1, 2/1, or 2/2), then you must have had enough votes to reduce the 14x20 = 280 points down to only 2, 3, or 4.* Every vote reduces the total value by 1, unless it's one of the (n-2) "wasted" votes prior to the aforementioned state, which does not reduce the total points on the board. Every category other than the final one has been whittled to nothing, which means 20(N-2) = 20N-40 (for N>2.) Further, the remaining two when the penultimate vote is cast have been reduced to a total of either 2, 3, or 4, so at maximum that's another 40-2 = 38 votes added on, giving 20N-2, which then rises to 20N-1 when the very last vote is cast.</p><p></p><p>So the minimum number of votes is always 10(N-1), and the maximum is 20N minus 1, 2, or 3 depending on the specific situation. In this case, the absolute maximum is 279 (though the specifics of 14 starting numbers might mean it's actually 278 or 277.) Thus, very roughly, there's always a 10N spread of possible vote counts.</p><p></p><p>*I <em>thiiiiink</em> which value comes out--in the worst case--depends on the voting total mod 3. But it might not be a straightforward "take the modulus" thing.</p><p></p><p></p><p>I think there's rather a big difference between "I take the subtle approach" and "I ruin lives over the course of the next season, year, or perhaps decade." The former is much more compatible with adventuring than the latter--and the former is compatible with the Warlock 5e actually offers, while the latter really isn't compatible with any class in 5e. Almost nothing works on the time scale of seasons or years.</p></blockquote><p></p>
[QUOTE="EzekielRaiden, post: 8820859, member: 6790260"] Technically speaking, there's a relatively tight range of possible votes. The absolute minimum would be if everyone upvoted one single option universally, which would take exactly 130 votes (because there would be 13 things to vote down, each requiring posts to kill.) Alternatively, if it goes down to the very wire (so the penultimate post leaves either 1/1, 2/1, or 2/2), then you must have had enough votes to reduce the 14x20 = 280 points down to only 2, 3, or 4.* Every vote reduces the total value by 1, unless it's one of the (n-2) "wasted" votes prior to the aforementioned state, which does not reduce the total points on the board. Every category other than the final one has been whittled to nothing, which means 20(N-2) = 20N-40 (for N>2.) Further, the remaining two when the penultimate vote is cast have been reduced to a total of either 2, 3, or 4, so at maximum that's another 40-2 = 38 votes added on, giving 20N-2, which then rises to 20N-1 when the very last vote is cast. So the minimum number of votes is always 10(N-1), and the maximum is 20N minus 1, 2, or 3 depending on the specific situation. In this case, the absolute maximum is 279 (though the specifics of 14 starting numbers might mean it's actually 278 or 277.) Thus, very roughly, there's always a 10N spread of possible vote counts. *I [I]thiiiiink[/I] which value comes out--in the worst case--depends on the voting total mod 3. But it might not be a straightforward "take the modulus" thing. I think there's rather a big difference between "I take the subtle approach" and "I ruin lives over the course of the next season, year, or perhaps decade." The former is much more compatible with adventuring than the latter--and the former is compatible with the Warlock 5e actually offers, while the latter really isn't compatible with any class in 5e. Almost nothing works on the time scale of seasons or years. [/QUOTE]
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Companion thread to 5E Survivor - Subclasses (Part XIII: Warlock)
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