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5. Item Stat Formula [005]
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The Item Stat Formula is a bit complicated, due to the fact that there are tons
of variables involved. You don't really have to understand it; we just put it
here for those who would care.
We're working on a JavaScript-based web calculator that should be up by April.
We'll post a link to it then. In the meantime, the best we can give you is
some simplified formulas (besides the main formula).
.---------.
| FORMULA |
'---------'
[B * (R + s * [C + N]) + I] * [1 + 0.05 * (TBP)] * [1 + L / 15] + [L * s]
.-------------.
| FORMULA KEY |
'-------------'
B = Base Stat of Item = (InitialStat / R)
R = Rarity:
- if item is Normal: R = 1.00
- if item is Rare: R = 1.25
- if item is Legendary: R = 1.50
s = Conditional Multiplier:
- if B > 0: s = 1
- if B = 0 [And] TBP > 0: s = 1
- if B = 0 [And] TBP = 0: s = 0
- if B < 0: s = -1
C = Boss Counter (incremented per kill; max = 3.9):
- each General kill: +0.1
- each King kill: +0.2
- each God kill: +0.3
N = Bill Modifier for Bosses (incremented per kill; max = 2.14):
- each General kill: +[0.01 * CBP]
- each King kill: +[0.02 * CBP]
- each God kill: +[0.03 * CBP]
CBP = [Current # of Small Stat Growth Bills Passed]
+ [2 * Current # of Large Stat Growth Bills Passed]
This includes stat growth bills passed right after a kill.
I = Innocent Counter (incremented per innocent present during each kill;
logical max = 894):
- each General kill: +3 per innocent present
- each King kill: +6 per innocent present
- each God kill: +9 per innocent present
TBP = [Total # of Small Stat Growth Bills Passed]
+ [2 * Total # of Large Stat Growth Bills Passed]
L = Level of Item
.---------------------.
| SIMPLIFIED FORMULAS |
'---------------------'
These formulas assume that only High Stat up bills were passed, the item has
200 levels, that all item Bosses were double killed, and that, where
applicable, the item was full of the maximum number of single stat Innocents
during all Boss kills.
Each first formula is for when B is positive. The second formula is for when B
is negative. To remove specialists, just take out the "+894" part of the
formula.
ALL Bills Passed + Specialists
[B * (7.54) + 894] * [559] / [30] + [200]
[B * (-4.54) + 894] * [559] / [30] - [200]
FIRST and SECOND Bills Passed + Specialists
[B * (6.88) + 894] * [17.2] + [200]
[B * (-3.88) + 894] * [17.2] - [200]
FIRST and THIRD Bills Passed + Specialists
[B * (6.82) + 894] * [17.2] + [200]
[B * (-3.82) + 894] * [17.2] - [200]
SECOND and THIRD Bills Passed + Specialists
[B * (6.78) + 894] * [17.2] + [200]
[B * (-3.78) + 894] * [17.2] - [200]
FIRST Bill Passed + Specialists
[B * (6.16) + 894] * [473 / 30] + [200]
[B * (-3.16) + 894] * [473 / 30] - [200]
SECOND Bill Passed + Specialists
[B * (6.12) + 894] * [473 / 30] + [200]
[B * (-3.12) + 894] * [473 / 30] - [200]
THIRD Bill Passed + Specialists
[B * (6.06) + 894] * [473 / 30] + [200]
[B * (-3.06) + 894] * [473 / 30] - [200]
NO Bills Passed + Specialists
[B * (5.40) + 894] * [43 / 3] + [200]
[B * (-2.40) + 894] * [43 / 3] - [200]
NO Bills Passed - Specialists
* [77.4] + [200]
* [-34.4] + [200]
.----------.
| Stat Cap |
'----------'
As mentioned in the Introduction, there's a stat cap. In truth, the cap varies
depending on how many stat growth bills you've passed. This is because the cap
takes effect before the item level and stat growth bill modifiers are applied,
which is this part of the formula.
[B * (R + s * [C + N]) + I]
It caps at 99,999. Below are the possible caps corresponding to the value of
TBP, assuming that the item level modifier is maxed.
TBP = 0: 1,433,519
TBP = 1: 1,505,184
TBP = 2: 1,576,850
TBP = 3: 1,648,516
TBP = 4: 1,720,182
TBP = 5: 1,791,848
TBP = 6: 1,863,514
.------------------.
| Specialist Boost |
'------------------'
The specialist boost varies, depending on the number of Bills passed. The
following values assume High Stat up bills, 200 item levels, all item Bosses
double killed, and also that you had the maximum number of single stat
Innocents inside the item during all Boss kills. These are already included in
the simplified formulas, but if you remove it, you'll have to add it back
manually, after the initial calculation is done.
Zero (0) bills: 12,814
One (1) bill : 14,095
Two (2) bills: 15,376
Three (3) bills: 16,658
