Average Damage (MIN & MAX DMG CALCULATIONS)

As you may have noticed, jutsus and weapons have a damage on display.
This is their average damage.. It means that sometimes hits will give you lower numbers and sometimes higher numbers.

Observation of some players have shown that Min/Max Damage is the -/+ 20% of the Average Damage.
  • Min Damage = (Average Dmg)*0.8
  • Max Damage = (Average Dmg)*1.2

But What really Average Damage is?
Average damage is the weapon/jutsu damage on display (on jutsu/weapon description) augmented by the stat points put in the same nature element and the +damage% per point given for allocating your stats in Fire.
So..
  • Average Dmg = (Jutsu Damage)*[1+ 0.1*(stats in jutsu's element) + 0.004*(stats in fire element)]


Critical Average Damage (MIN & MAX CRIT DMG CALCULATIONS)

Based on the types above:
  • Critical Average Damage = (Average Dmg)*[1.5 + 0.008*(stat points in lightning)]
  • Critical Maximum Damage = (Critical Average Damage)*1.2
  • Critical Minimum Damage = (Critical Average Damage)*0.8

Remember that:
  • Average Dmg = (Jutsu Damage)*[1+ 0.1*(stats in jutsu's element) + 0.004*(stats in fire element)]



Highest Damage
this is the highest possible damage you can get if combustion and critical effects are triggered at the same time.
(we do not include debuffs such as bleed +25% damage & Empower +40% damage in our calculations simply because those are jutsu effects and because they are not events based on luck but effects someone can manually trigger based on his personal strategy - extreme luck needed for combustion + critical + empower + bleed to occur in the very same hit).

Formula:
Highest Damage =
(Max Damage)*[0.3 + 1.5 + 0.008*(stat points in lightning)] =
  • (Average Dmg)*1.2*[0.3 + 1.5 + 0.008*(stat points in lightning)]
OR
  • (Jutsu Damage)*1.2*[1+0.1*(stats in jutsu's element)+0.004*(stats in fire element)]*[1.8+0.008*(stat points in lightning)]

The chance to achieve it though is not very high and can be estimated by multiplying crit%chance by combustion%chance
Chance to deal Highest Damage:
  • Chance% = (100%)*[0.05+0.004*(stat points in lightning)]*[0.004*(stat points in Fire)]
~ for 0 stat points in Fire the chance will be brought down to 0%. In this occasion Highest Damage = Critical Maximum Damage



Overall Possible Average Damage
Skip to the math type

The idea is that we indeed have an Average Damage but there should be a contribution to it from the random critical strikes and combustions strikes we get every now and then.
So what is the Actual Average Damage when we have x% critical chance and y% combustion chance?
What would our Average Damage look like if we could add all our Normal, Critical and Combustion hits and divide them by their number?

For the estimation of Actual Average Damage we will use the term: Overall Possible Average Damage
  • Overall stands for the fact that we estimate not only the damage additions due to fire stat points and element stat points but also the Critical Damage Contribution* and the Combustion Damage Contribution.
  • Possible stands for the fact that we completely ignore the dodge ability of the opponent or any damage reduction effects that might be active at that time.
  • Average stands for the fact that we use the average damage in our calculations which is the damage written on each jutsu augmented by the elemental stat points affecting the specific jutsu.
    (note: min damage is 20% lower than average damage & max damage is 20% higher than average damage)

Before I give you the formula of Possible Average Damage it is necessary that we calculate the Critical Effect Contribution (& the Combustion Effect Contribution) and add it to our math type..


* Critical Damage Contribution:


Let's say that our average jutsu damage is 100.
Our chance to crit is 50%
Our critical damage amplifier is +50% damage
We hit 10 times and we calculate what our average damage would be like:

Means that out of 10 hits all of them will deal the basic 100 damage and in addition 50% of them will deal the amplified by 50% damage equal to 100*50% = 50 damage.

Now we separate critical chance into: Base Critical & Additional Critical (due to points in thunder)
In the last formula we didn't estimated the additional damage amplifier (due to points in thunder)
The general type will look like this:
  • (Average Damage) + [base crit% + 0.004*(stat points in lightning)]*(Average Damage)*[(crit base amplifier) + 0.008*(stat points in lightning)]


Let's replace some letters with their fixed numbers
(for example base crit is always 5% = 0.05 base dmg amp is always +50% = 0.5)
  • (Average Damage) + (Average Damage)*[0.05 + 0.004*(stat points in lightning)]*[0.5 + 0.008*(stat points in lightning)]


Let's also write the formula in a little bit more beautiful way:
(Average Damage)*{1 + [0.05 + 0.004*(stat points in lightning)]*[0.5 + 0.008*(stat points in lightning)]}

  1. So 100 damage with 0 points in thunder will be equal to:
    100*(1 + 0.05*0.5) = 102.5 damage
  2. At an imaginary Lv100 Full Thunder Build the 100 damage will be equal to:
    100 + (5%+40%)*[100*(0.5 + 0.008*100)] = 158.5 damage


but we are talking about Contributions ONLY and NOT the Average Damage WITH the contributions.
From the examples above the contributions are 2.5 and 58.5 damage.
So we have to separate the contribution from the general type:

Critical Damage Contribution:

  • (Average Damage)*[0.05 + 0.004*(stat points in lightning)]*[0.5 + 0.008*(stat points in lightning)]


Now let's find the Combustion Damage Contribution using the same way of thinking.


* * Combustion Damage Contribution:

Let's say that our average jutsu damage is 100.
Our combustion damage amplifier is fixed and +30% damage
We hit 10 times and we calculate what our average damage would be like:
[10*100+(10*0.5)*(100*0.5)]/10=100+0.5*50=125

It means that out of 10 attacks, all of them will deal 100 Average Damage and 50% of them will deal an additional 30% (100*30%=30).
Combustion damage amplifier is fixed and equal to +30% damage

The general type will look like this:
(Average Damage) + (Average Damage)*(combustion chance%)*(combustion damage amplifier)
  • (Average Damage) + (justu damage)*0.3*[0.004*(stat points in fire)]


But again this is the combustion contribution on the average damage..
We need to separate ONLY the contribution and add it to the formula to get the Overall Possible Average Damage
The combustion contribution is:
  • (Average Damage)*0.3*0.004*(stat points in fire)


The Contributions are going to be added to the Average Damage to give us the final type so..



Average Damage:

(without the Critical Damage and Combustion Damage Contribution)

Same logic as before the formula will be like:
  • (Jutsu Damage)+[(Jutsu Damage)*0.01*(stat points on jutsu's element)]+[(Jutsu Damage)*0.004*(stat points in fire -if any-)]
OR
  • (Jutsu Damage)*[1+0.01*(stat points on jutsu's element)+0.004*(stat points in fire)]


Let's add the Critical Damage Contribution & the Combustion Damage Contribution now to get the:


Overall (Final) Possible Average Damage:

(The Overall Damage that can be dealt after estimating and including the Contributions of Critical and Combustion to the Average Damage).

Average Damage + Critical Damage Contribution + Combustion Damage Contribution


  • (Average Damage) + (Average Damage)*[0.05 + 0.004*(stat points in lightning)]*[0.5 + 0.008*(stat points in lightning)] + (Average Damage)*0.3*0.004*(stat points in fire)
OR
  • (Average Damage)*{1 + 0.3*0.004*(stat points in fire) + [0.05 + 0.004*(stat points in lightning)]*[0.5 + 0.008*(stat points in lightning)] }
OR
  • (Jutsu Damage)*[1+0.01*(stat points on jutsu's element)+0.004*(stat points in fire)]*{1 + 0.3*0.004*(stat points in fire) + [0.05 + 0.004*(stat points in lightning)]*[0.5 + 0.008*(stat points in lightning)] }


top