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Fire Emblem Heroes Wiki
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== Level 40 stats == A Hero's stats at level 40 can be determined by looking at their level 1 stats, and a hidden stat called growth rate. Each hero has a growth rate value attached to each of their five stats, these growth rates are always the same for each specific Hero. Each hero's set of growth rates can be seen on their respective Hero pages on the wiki. A table of all Heroes and their growth rates can be found at the [[growth rate table]] page. These growth rates are distributed in a predetermined way across the hero's stats, to influence how much they will grow for each stat. === Example === In Jagen's case, the growth rates are distributed as follows. {| class="wikitable default" ! HP !! Atk !! Spd !! Def !! Res !! Total |- | 40% || 45% || 40% || 40% || 55% || 220% |} If a hero has an Asset in a stat, that growth rate is increased by 5%, while the growth rate of their Flaw stat is decreased by 5% to balance it out. A Jagen with +HP and -Spd, for example, would have the following growth rate spread. {| class="wikitable default" ! HP !! Atk !! Spd !! Def !! Res !! Total |- | '''45%''' || 45% || '''35%''' || 40% || 55% || 220% |} === Growth rates === '''Growth rates''' determine by how much each stat will increase from level 1 to level 40. A growth rates increase by 5% for Assets and decrease by 5% for Flaws. The following are the steps to calculate the amount of increase for stats from level 1 to level 40, which will be called the '''growth value'''. For example, a unit with 43 HP at level 40 and 19 HP at level 1 will have a growth value of 24 (since 43 − 19 = 24). Every Hero has their own level 1 stats and growth rates stored in the game files, equivalent to their {{Rarity|3}} stats. First, the game takes the starting growth rates stored in the Hero files, also known as '''pure growth rates''', then multiplies the growth rates by a rarity factor, which changes depending on the unit's rarity. As with most calculations in the game like [[damage calculation]]s, the result is truncated (all numbers after the decimal place is removed and the result is a whole number). Only growth rates in multiples of 5% are ever used for Heroes so far, but stat values for growth rates that are not multiples of 5 exist. {|class="wikitable default unsortable" ! {{Rarity|1}} !! {{Rarity|2}} !! {{Rarity|3}} !! {{Rarity|4}} !! {{Rarity|5}} |- | 0.86 || 0.93 || 1.00 || 1.07 || 1.14 |} This converts the growth rate into a '''master growth rate''' or '''applied growth rate''', which is the growth rate that is used. To get the growth value for playable stats, the master growth rate percentage is multiplied by 39 (and truncated, as before). For an example, [[Micaiah: Summer's Dawn]] has an Atk growth rate of 60%. The steps to calculate her growth value for {{Rarity|5}} are the following: :<math>\mathit{AppliedGrowthRate} = \operatorname{trunc}(\mathit{GrowthRate} \times \mathit{RarityFactor} )</math> :<math>\mathit{AppliedGrowthRate} = \operatorname{trunc}(60 \times 1.14 )</math> :<math>\mathit{AppliedGrowthRate} = \operatorname{trunc}(68.4)</math> :<math>\mathit{AppliedGrowthRate} = 68</math> :<math>\mathit{GrowthValue} = \operatorname{trunc}(39 \times \mathit{AppliedGrowthRate%} )</math> :<math>\mathit{GrowthValue} = \operatorname{trunc}(39 \times 68% ) = \operatorname{trunc}(39 \times 0.68 )</math> :<math>\mathit{GrowthValue} = \operatorname{trunc}(26.52)</math> :<math>\mathit{GrowthValue} = 26</math> Thus, this Micaiah will gain a total of 26 Atk from level 1 to level 40. Notice how there are 39 levels in the game to gain stats. The formula <code>39 × 68%</code> can also be phrased as "68% of 39". It can also be said that for each level up, this Micaiah would have roughly a 68% chance of gaining Atk, though it is not actually random (see the section on level 2-39 stats for more information). In short, whereas the mainline Fire Emblem games level ups were truly random, Fire Emblem Heroes has the level 40 stats determined by what would be the average stat at level 40 (truncated). The table below shows the values for different common growth rates and rarities. {{#invoke:GrowthRateTable|Table}} In other words, growth values can be calculated directly as <math>\mathit{GrowthValue} = \operatorname{trunc}(39 \times \operatorname{trunc}(\mathit{GrowthRate} \times (0.79 + (0.07 \times \mathit{Rarity})) ) )</math> Notice how the table is not uniform, which can lead to different stat totals at level 40, if a unit's Asset or Flaw shifts a growth rate so that the resulting growth value changes more (or less) than usual. An example of this would be [[Fae: Divine Dragon]]'s HP growth rate, which is 70%, and can be shifted to 75% by a Asset, which at rarity {{Rarity|4}} and {{Rarity|5}} increases the growth value by 3, as opposed to the standard 2. === Growth value example === Using the information about [[Jagen: Veteran Knight]]'s rarity, base stats, growth rates and the table of growth values, his max stats can be determined by addition of each growth value to its respective base stat as follows. The first table on the left is Neutral, +HP/-Spd on the second right table. {| class="wikitable default" style="float:left; margin-top: 8px; margin-right: 20px; margin-left: 10px" ! Data !! HP !! Atk !! Spd !! Def !! Res |- | {{Rarity|4}} Base stats || 19 || 8 || 6 || 7 || 11 |- | Growth Rates || 40% || 45% || 40% || 40% || 55% |- | {{Rarity|4}} Growth Values || 16 || 18 || 16 || 16 || 22 |- | {{Rarity|4}} Max Stats || 35 || 26 || 22 || 23 || 33 |} {| class="wikitable default" ! Data !! HP !! Atk !! Spd !! Def !! Res |- | {{Rarity|4}} Base stats || 20 || 8 || 5 || 7 || 11 |- | Growth rates || 45% || 45% || 35% || 40% || 55% |- | {{Rarity|4}} Growth Values || 18 || 18 || 14 || 16 || 22 |- | {{Rarity|4}} Max Stats || 38 || 26 || 19 || 23 || 33 |} {{clear}} Notice how the base stat difference of plus or minus 1 effectively combines with the growth value difference of (in this case) plus or minus 2, to modify the max stats by +3 HP and -3 Spd.
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