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Quantifying AOE impact
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<blockquote data-quote="Esker" data-source="post: 7908011" data-attributes="member: 6966824"><p>Using the same notation, if the party does D damage per round and there are M monsters with KD hit points each, then we expect the combat to last about MK rounds. A monster who dies in round R gets R turns. As a reference point, if all monsters are worn down evenly and all die in the last round, they will collectively have gotten M^2*K turns in total.</p><p></p><p>In general, doing enough extra damage to kill one monster a round earlier than the party would have otherwise has a follow-on effect; since everyone can then move on to the next monster a round earlier than they would have otherwise, and so if you can do a burst of extra damage in the first round equal to PD, then that should have roughly a PD/KD = P/K chance of moving up any given monster's expiration time by a round, so on average you should save about MP/K monster turns.</p><p></p><p>This one is more back-of-the-envelope, and it's late so I'm not sure I'm reasoning super clearly any more, but does that strike you as a reasonable approximation?</p><p></p><p>I'm doubting it at the moment, since it seems to entail some backwards-seeming results, so I'm wondering if I screwed up something obvious, or have a variable misplaced somewhere.</p></blockquote><p></p>
[QUOTE="Esker, post: 7908011, member: 6966824"] Using the same notation, if the party does D damage per round and there are M monsters with KD hit points each, then we expect the combat to last about MK rounds. A monster who dies in round R gets R turns. As a reference point, if all monsters are worn down evenly and all die in the last round, they will collectively have gotten M^2*K turns in total. In general, doing enough extra damage to kill one monster a round earlier than the party would have otherwise has a follow-on effect; since everyone can then move on to the next monster a round earlier than they would have otherwise, and so if you can do a burst of extra damage in the first round equal to PD, then that should have roughly a PD/KD = P/K chance of moving up any given monster's expiration time by a round, so on average you should save about MP/K monster turns. This one is more back-of-the-envelope, and it's late so I'm not sure I'm reasoning super clearly any more, but does that strike you as a reasonable approximation? I'm doubting it at the moment, since it seems to entail some backwards-seeming results, so I'm wondering if I screwed up something obvious, or have a variable misplaced somewhere. [/QUOTE]
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