Clarissa – 5* Dark/ Purple - May 2020 HOTM (Hero of the Month)

Here is the known damage formula:

For direct damage from special skill,
Att = special damage % × Att

So the formula become:
Damage ≈ 100 x ( θ x Special Damage % x Att / Def ) ^ 1.35

The next question is where to put the extra damage in the formula:

In case 1, the formula is:
Damage ≈ (100 x ( θ x Special Damage % x Att / Def ) ^ 1.35) x (1 + Extra Damage %)

In case 2, the formula is:
Damage ≈ 100 x ( θ x Special Damage % x (1 + Extra Damage %) x Att / Def ) ^ 1.35

In case 3, the formula is:
Damage ≈ 100 x ( θ x (Special Damage % + Extra Damage %) x Att / Def ) ^ 1.35

The following table is the end result of damage output increase for Vela and GM using each formula:

Output Increase
Hero Vela (70%) GM (25%)
Formula 1 70% 25%
Formula 2 104.69% 35.15%
Formula 3 67.71% 25.78%

In my limited test with Vela where the opponent are JF with 759 Defense +15% Troop Defense and Vela with 765 Defense + 14% Troop Defense, I hit JF twice for 227 and 238 damage while I hit Vela once for 134 damage. Which means my Vela hit JF for more 73.5% damage.

It is clearly far lower than expected output for formula 2. It is still near formula 1 and 3 with leaning on formula 1.

As some previous posters have pointed out that the final inceease is arround 70%, then:

If formula 1 is correct, then Clarissa should have +70% damage increase against yellow.

If formula 3 is correct, then Clarissa should have +65% damage increase against yellow.

As both are higher than +33% DoT increase that Clarissa have, it seems her damage increase is different between Direct and DoT.

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