Growth Rates (GR for short) create stats of wild minions, define stat increase of minions when leveling up, balance minions HP and Mana and determine the location of the red growth dot. They are hidden minion-specific variables.
There is one Growth Rate for each stat of each minion, including a sixth stat, which is according to the accepted theory responsible for the critical strike chance of minions, which grows exponentially. If a minion has never been merged, its growth rates are set to the growth rates of its species, the "Species Growth Rates", which can be found on every minion page.
Enemy minions[]
Enemy stats are generated with this formula, it requires the minions' Level and its Species GRs:
Initial stat = 10 + GR / 10 + Level bonus * Level + Rnd*- Level bonus depends on the Species Growth Rate, seen in this formula and enumerated in the table below
(floor(GR/10)+8)*0.035+0.005, except:- A growth rate of 200 is treated as 190
- A growth rate less than 10 is treated as if it were 90, though this doesn't occur on any minion the player can capture
| Final GR | 0 - 9 |
10 - 19 |
20 - 29 |
30 - 39 |
40 - 49 |
50 - 59 |
60 - 69 |
70 - 79 |
80 - 89 |
90 - 99 |
100 - 109 |
110 - 119 |
120 - 129 |
130 - 139 |
140 - 149 |
150 - 159 |
160 - 169 |
170 - 179 |
180 - 189 |
190 - 200 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Growth | 0.6 | 0.32 | 0.355 | 0.39 | 0.425 | 0.46 | 0.495 | 0.53 | 0.565 | 0.6 | 0.635 | 0.67 | 0.705 | 0.74 | 0.775 | 0.81 | 0.845 | 0.88 | 0.915 | 0.95 |
Stat increase[]
Stat increases when leveling up:
| 0 - 9 |
10 - 19 |
20 - 29 |
30 - 39 |
40 - 49 |
50 - 59 |
60 - 69 |
70 - 79 |
80 - 89 |
90 - 99 |
100 - 109 |
110 - 119 |
120 - 129 |
130 - 139 |
140 - 149 |
150 - 159 |
160 - 169 |
170 - 179 |
180 - 189 |
190 - 255 | |
| ATK | 1.10 | 0.82 | 0.85 | 0.89 | 0.92 | 0.96 | 0.99 | 1.03 | 1.06 | 1.10 | 1.13 | 1.17 | 1.20 | 1.24 | 1.27 | 1.31 | 1.34 | 1.38 | 1.41 | 1.45 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| DEF | 0.85 | 0.57 | 0.60 | 0.64 | 0.67 | 0.71 | 0.74 | 0.78 | 0.81 | 0.85 | 0.88 | 0.92 | 0.95 | 0.99 | 1.02 | 1.06 | 1.09 | 1.13 | 1.16 | 1.20 |
| MATK | 0.72 | 0.44 | 0.48 | 0.51 | 0.55 | 0.58 | 0.62 | 0.65 | 0.69 | 0.72 | 0.76 | 0.79 | 0.83 | 0.86 | 0.90 | 0.93 | 0.97 | 1.00 | 1.04 | 1.07 |
| MDEF | 0.66 | 0.38 | 0.41 | 0.45 | 0.48 | 0.52 | 0.55 | 0.59 | 0.62 | 0.66 | 0.69 | 0.73 | 0.76 | 0.80 | 0.83 | 0.87 | 0.90 | 0.94 | 0.97 | 1.01 |
| SPD | 0.63 | 0.35 | 0.38 | 0.42 | 0.45 | 0.49 | 0.52 | 0.56 | 0.59 | 0.63 | 0.66 | 0.70 | 0.73 | 0.77 | 0.80 | 0.84 | 0.87 | 0.91 | 0.94 | 0.98 |
| Crit* | 0.61 | 0.33 | 0.37 | 0.40 | 0.44 | 0.47 | 0.51 | 0.54 | 0.58 | 0.61 | 0.65 | 0.68 | 0.72 | 0.75 | 0.79 | 0.82 | 0.86 | 0.89 | 0.93 | 0.96 |
HP / Mana[]
HP and Mana are calculated by the relation of the Attack GR and the Magic Attack GR.
The higher the Attack GR in the relation to the Magic A. GR, the higher the HP-base and the lower the Mana-base.
The higher the Magic A. GR in the relation to the Attack GR, the higher the Mana-base and the lower the HP-base.
For every Level, there is a HP-maximum and -minimum as well as a Mana-maximum and -minimum. Between these borders is a difference. These two differences are multiplied with the ratio of the Attack and Magic A. GR. The game summarizes these products with the minimums to calculate HP and Mana.*
HP formula[]
HPBase = 20 + [9 + Floor (Level / 2)] * LevelHPGR = Floor [Attack GR * 200 / (Attack GR + Magic A. GR)]HPMax = Floor [(HPGR * 40 + 6000) * HPBase * 109951162 / 1099511627776]
Mana formula[]
MPBase = 20 + 3 * LevelMPGR = Floor [Magic A. GR * 200 / (Attack GR + Magic A. GR)]MPMax = Floor [(MPGR * 40 + 6000) * MPBase * 109951162 / 1099511627776]
Red growth dot[]
The red growth dot gives an overlook of the layout of a minion's growth rates. The x-coordinate is calculated by the relation of (Defense GR + Magic Defense GR) / 2 and the Speed GR; the y-coordinate by the relation Attack and Magic Attack GR.
The growth dot, however, does not show whether the stats are good or not - the y-coordinate will be the same when Attack and Magic A. GR are 200 or 100. All that matters is the relation.
The critical strike stat does not have any effect on the growth dot.
Merging manipulation[]
When merging, the GRs of every stat of both minions are summarized to calculate the GRs of the hybrid.
If the sum is 200, the result's GR will be 100. If the sum is lower/higher, the result's GR is potentially lower/higher.
Sums below 46 result in growth rate 0. Sums above 355 result in growth rate 200, which is the maximum.
Notes[]
- GRs between 0 and 9 cause significantly high stat growth.