Mana mechanics with almost exact numbers

Yet another quick battle with following team:

Assumed mana bonus for heroes:
Seshat: 13% from troops + 2% class bonus = 15%
Gravemaker: 11% from troops + 2% class bonus = 13%
Telluria: 13% from troops + 2% class bonus = 15%
Vela: 13% from troops + 2% class bonus = 15%
Joon: 13% from troops + 5% costume bonus + 2% class bonus = 20%

Long description of battle

Turn 1
Three tiles to Seshat. All other heroes received only EOT.

Prediction:
Seshat: (10.83%( EOT) + 3 * 8.33% (1c1)) * 1.15 = 41.193% (measured 39.5%, error 1.6%)
Gravemaker: 13.333% (EOT) * 1.13 = 15.06% (measured 14.9%, error 0.16%)
Telluria: 8.666% (EOT) * 1.15 = 9.967% (measured 9.6%, error 0.367%)
Vela: 10.83% (EOT) * 1.15 = 12.458% (measured 12.3%, error 0.158%)
Joon: 10.83% (EOT) * 1.20 = 13.000% (measured 12.3%, error 0.7%)

Reality:
pvp_02_1

It’s weird that Joon got the same amount of mana as Vela, because Joon should have consume bonus.

My hypothesis is that COSTUME MANA BONUS DOESN’T WORK ON DEFENSE - this needs some extra checking.

Turn 2 - big combo
Telluria was hit with 3 tiles from Combo 2, and 4 tiles from combo 4
Vela was hit with 2 tiles from Combo 2 and 1 tile from combo 4
Joon was hit with 1 tile from Combo 2 and 1 tile from combo 4
Seshat and Gravemaker wasn’t touched at all.

Prediction:
Seshat : 41.193 (previous) + 10.83 (EOT) * 1.15 = 53.6475% (measurement lost)
Gravemaker: 13.3333 * 2 * 1.13 = 30.133% (measured 28.9%, error 1.23%)

Others cannot be predicted yet, because mana decrease from combos is not known.

Here’s the actual result:

Let’s do some deduction, starting with Joon. He ends up with 40.4% of measured mana.
This mana is result of 2 EOT bonuses ( 12.3 * 2), 1 tile from combo 2 (1c2), and one tile from combo 4 (1c4)
1c2 + 1c4 = 40.4 - 12.3 * 2 = 15.8%. To deduct the troop/class bonus, let’s divide it by 1.15, the result is 13.740%
My previous prediction says, that 1c1 for Fast hero is 8.33%. So, if 1c2 and 1c4 would be the same as 1c1, the resulting mana would be 16.6666%. The measured mana is less, so as in PvE, mana from combo 2 is less than mana from combo 1.

In PvE, 1c2 = 1c1 * 0.9. Let’s guess that the same decay rate is applied to raids as well. Then for Fast hero, 1c2 would be 8.333 * 0.9 = 7.5%. Then 1c4 = 13.74% - 7.5% = 6.24%.
1c4 / 1c2 = 6.24% / 7.5% = 0.83 (this is very close to 0.81).

So, the theory is, that tile from combo 2 gives 0.9 of mana from a tile from combo 1. Tile from combo 3 gives 0.9 of mana from a tile from combo 2 etc.

Basically, 1cN = 1c1 * 0,9^(N-1).

Let’s predict Vela and Telluria based on this numbers:

Vela: (2 * 10.83% (EOT) + 2 * 8.33% * 0.9 (2c2) + 8.33% * 0.9^3 (1c4)) * .1.15 (assumed mana bonus) = 48.765%. Measured - 47.4%, error 1.36%
Telluria: (2 * 8.666% (EOT) + 3 * 6.666 % * 0.9 (3c2) + 4 * 6.666% * 0.9^3 (4c4)) * 1.15 (assumed mana bonus) = 62.983%. Measured - 61.4%, error 1.583%

Let’s count the same numbers, but only counting troops, not class bonus (so both Telluria and Vela would have 13% bonus, not 15% bonus):
Vela: predicted without class bonus: 47.067%, Measured 47.4%, error 0.33%
Telluria: predicted without class bonus: 61.88%, Measured 61.4%, error 0.48%

So, the data fits better if class bonus is not counted!

Current theory is then modified to: mana bonus for heroes depends only on mana troop level, ignoring mana bonus from class talents and costumes

This definitely needs to be investigated further.

Current theory is:

  • Mana class talent and costume bonus don’t work in defense, only bonus from troops counts
  • Each hit from combo 2 gives 10% less mana than hit from combo 1, as in PvE. This continues in geometrical progression, so each hit from combo 3 gives 10% less mana than hit from combo 2 and so on

That definitely needs some extended testing.

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