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Boosts and how they are calculated?

Boosts and how they are calculated?

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4 июнь 2017, 09:5004.06.17
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Boosts and how they are calculated?

I am trying to work out how the construction boosts are calculated. 

It is fairly straightforward to predict resource production or onsl size as you can see the number each building gives you and all boosts, hero skills, gear and knowl calculations are based on that number.

But time boosts seem to be a bit more complicated. 

I noted the event boost will deduct the 10% last, after build sets and other boosts have been activated. That is due to the little calculation they show (*).

But what baseline does all other boosts or knowl use to give the final time for the upgrade? 


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9 июль 2017, 20:5909.07.17
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Lets say you use 120 seconds to train 10 troops. When adding all the percentages (manors, items, potential event bonuses etc) you will come up with a lesser training speed reduction than the actual reduction. This is because there is a distinction between additive and multiplicative bonuses. The multiplicative bonuses will make a new base figure which the additive bonuses depends on. I will list up which bonuses are additive and which are multiplicative.



TYPE 1: Multiplicative bonuses


Daily bonuses and speed-up items (this counts for all 3, training speed, building speed and learning speed)



TYPE 2: Additive bonuses


Training speed: Manors, knowledge, hero skills and hero equipment


Building speed: Knowledge, hero skills and hero equipment


Learning speed: Oracle level, hero skills and hero equipment



Lets take an example to make it easier to understand (i will continue with that 120 second training time i mentioned earlier in the note):


Lets say you have a 20% training speed item on, and you got 200% training speed from manors and 120% training speed from hero skills. In addition to that there is a 10% training speed daily bonus on at the moment. Lets first take care of the daily bonuses:


NEW TIME=120*[120/(120+120*0.10)


NEW TIME=120*[120/132]


NEW TIME~109 seconds



Now we have 109 as a new base figure, and now i will take care of the 20% training speed item, which also is a multiplicative bonus:


NEW TIME=109*[109/(109+109*0.20)]


NEW TIME~91 seconds



Lastly we will take the additive bonuses which we got from manors and hero skills (320% all together)


NEW TIME=91*[91/(91+91*3.2)]


NEW TIME~22 seconds



With all these bonuses you would thus get the training time down to 22 seconds instead of 120 seconds. I took this example from training speed, but the same structure counts for building speed and learning speed, so you can play a little with the formula on your own numbers and bonuses if you would like 😉

10 июнь 2019, 00:2310.06.19
01.02.17
3

Hi Guys, 


I have looked at it personnally and used Excel to find the formula. It's quite complicated but once you understand it, it's easy to know what worth more than other boosts.


THE FORMULA:


(Original Time) x (Factor A) x (Factor B) x (Factor C) x (Factor D) = Time with all boosts taken in consideration


So yes, there is in fact 4 categories of boosts.... even if Plarium count them all in the same box!


How to find FACTOR A, B, C and D:


First we must divide the boosts in 4 categories


Category A: Repute

Category B: Daily boosts, KVK and Fury winning bonus

Category C: Town skins and time boosts

Category D: Knowledge, Buildings, SH, Aesir, Hero skills, Chaman skills, equipment...


All boosts in all categories are added to get a total for each category. Let's say you have a beast town skin (10% bonus) and a 30% bonus for 30 minutes, you will have 40% of bonus in Category C. Once you added the bonuses, you can find the Factor C with this formula: 1 - 40% = 0.60

You can make this for Factor A, B and C.


For Factor D, the total will be passed 100%, so it's obvious you won't have 100% less time like it happen with food consumption. So you add all the bonuses and you will than find the factor with this formula: 


1 - TOTAL Category D      DIVIDED BY      (TOTAL Category D + 1)


This gives this kind of factor

100% bonus = 0.50

200% bonus = 0.33

300% bonus = 0.25

400% bonus = 0.20

and so on...


When you will understand the formula, you will realise that winning a KVK (10% bonus) will have much more impact than getting the 100% bonus from new equipment... Open Excel, try it and think about it!