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--- multikill [2021/07/24 21:56] – [The Math] determinor
+++ multikill [2021/11/16 09:39] – determinor
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 ====== Multikill ======
-Multikill is related to the cumulative 10% monster stat increase after the first monster you battle in any [[fight|Fight]] except [[incursions|Incursions]] and [[dungeons|Dungeons]], where they are fought one by one or without any multikill penalty or bonus. With the //Pack Hunter// and //Carnage// [[skills]|Skills]] maxed, players can fight up to 15 monsters in an action, 20 with the hellfire injection, which gives +5 monsters. As hellfire injections can only be acquired very expensively on market or from T7 incursions, we will assume that the max kill of the player is 15.
+Multikill is related to the cumulative 10% monster stat increase after the first monster you battle in any [[fight|Fight]] except [[incursions|Incursions]] and [[dungeons|Dungeons]], where they are fought one by one or without any multikill penalty or bonus. With the //Pack Hunter// and //Carnage// [[skills]|Skills]] maxed, players can fight up to 15 monsters in an action. As hellfire injections can only be acquired very expensively on market or from T7 incursions, we will assume that the max kill of the player is 15. Another calculation will be done for 25 kills, as with Slayer V  that's where I assume the average kills are at.
 ===== Monster Bonus =====
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 So, what does this bonus mean to us? How strong is it? To find out, we need some math:
-Let's assume we kill 15 monsters. We have 1% multikill. Multiply base numbers by 10 for simplicity. 10 is base rating.
+==== Carnage Maxed ====
-monsters is 10 (base) + 11 + 12 + … + 24 = (24*25/2) - (9 *10/2) = 300 - 45 = 255 total monster rating.
+Let's assume that:
-% multikill means we substract 0.1 from everything above the base monster, which is 14 * 0.1 = 1.4. That's our reduction.
+  * We can kill 15 monsters.
--1.4=253.6
+  * We have the corporation compendium buff of 20% which effects multikill debuff.
-(255/253.6)*100 - 100 = **0.552%**
+  * We have 3 ranks in the Multitasking mastery, which gives 12% more multikill debuff.
+  * We have 1% multikill. Multiply base numbers by 10 for simplicity. 10 is base rating.
-If we add in the 20% //Compendium Multikill// corp buff bonus, we get 0.552% * 1.2 = 0.662%. For simplicity, lets assume 0.666%, which means at 3% multikill bonus, we get 2% reduction in overall difficulty of killing 15 monsters.
+monsters totals to 10 (base) + 11 + 12 + … + 24 = (24*25/2) - (9 *10/2) = 300 - 45 = 255 total monster rating.
+% multikill becomes 1%*1.2*1.12=1,344% reduction, which means we substract 0.1344 from everything above the base monster, which is 14 * 0.1344 = 1.8816. That's our reduction.
+-1.8816=253.1184
+(255/253.1184)*100 - 100 = **0.7434%**
-To put it in fractions, **with max corp buff, every multikill bonus gives us 2/300 reduction in difficulty**.
+For a simple calculation, if we have 4% multikill debuff with max corp buff and rank 3 multitasking, we get a bit less than 3% reduction in difficulty.
+To put it in fractions, **every multikill bonus gives us 3/400 reduction in difficulty**.
+==== Slayer/Multitasking Maxed ====
+If we do the same calculation for 25 monsters, the percentage actually drops, but that doesn't mean the effectiveness has dropped: the reduction increases more.
+Let's assume that:
+  * We can kill 25 monsters.
+  * We have the corporation compendium buff of 20% which effects multikill debuff.
+  * We have 5 ranks in the Multitasking mastery, which gives 15% more multikill debuff.
+  * We have 1% multikill. Multiply base numbers by 10 for simplicity. 10 is base rating.
+monsters totals to 10 (base) + 11 + 12 + … + 34 = (34*35/2) - (9 *10/2) = 595 - 45 = 550 total monster rating.
+% multikill becomes 1%*1.2*1.15=1,38% reduction, which means we substract 0.138 from everything above the base monster, which is 24 * 0.138 = 3.312. That's our reduction.
+-3.312=546,688
+(550/546,688)*100 - 100 = **0.6058%** --> Round out to 0.6% reduction in total power.
+The same 4% multikill debuff in the above example now only reduces the total power by 2.42% instead of 3%. However, we are fighting a lot more monsters. The monster total power has gone up from 255 to 550, more than doubled.
 ===== Is it worth it? =====