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Experience: Difference between revisions
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m (replaced: ===In Generation I=== → ===Generation I===, ===In Generation II=== → ===Generation II===, ===In the Pokémon Mystery Dungeon series=== → ===Pokémon Mystery Dungeon series===, ===In the Pokémon Pinball series=== → ===Pokémon Pinball...) |
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====Erratic==== | ====Erratic==== | ||
<math> | |||
EXP = | |||
\begin{cases} | |||
\dfrac{n^3(100-n)}{50} & n < 50 \\ | |||
\dfrac{n^3(15-n)}{100} & 50 \le n < 68 \\ | |||
\dfrac{n^3\bigg\lfloor\dfrac{1911-10n}{3}\bigg\rfloor}{500} & 68 \le n < 98 \\ | |||
\dfrac{n^3(160-n)}{100} & 98 \le n < 100 | |||
\end{cases} | |||
</math> | |||
The Erratic experience group, one of the two groups introduced in Generation III, features the lowest level 100 value for experience, at only 600,000 points. Nearly all Pokémon in this experience group were introduced in Generation III as well, with most of them being {{t|Bug}} or {{t|Water}} types. | The Erratic experience group, one of the two groups introduced in Generation III, features the lowest level 100 value for experience, at only 600,000 points. Nearly all Pokémon in this experience group were introduced in Generation III as well, with most of them being {{t|Bug}} or {{t|Water}} types. | ||
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====Fast==== | ====Fast==== | ||
<math> | |||
\begin{align} | |||
EXP = \dfrac{4n^3}{5} | |||
\end{align} | |||
</math> | |||
The Fast experience group is one of the four experience groups introduced in Generation I, with 800,000 experience points making for a level 100 Pokémon. Many {{t|Normal}}- and {{type|Fairy}} Pokémon are in this group. | The Fast experience group is one of the four experience groups introduced in Generation I, with 800,000 experience points making for a level 100 Pokémon. Many {{t|Normal}}- and {{type|Fairy}} Pokémon are in this group. | ||
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====Medium Fast==== | ====Medium Fast==== | ||
<math> | |||
\begin{align} | |||
EXP = n^3 | |||
\end{align} | |||
</math> | |||
Among all Pokémon, the most plentiful experience group is the Medium Fast group, which was also introduced in Generation I. Requiring Pokémon to have an even 1,000,000 experience points to be at level 100, it is by far the most average of the experience groups, and the one with the simplest equation: to be at a given level, any Pokémon in this group requires experience equal to that level {{wp|cube (algebra)|cubed}}. This group is also often called "cubic", due to its function being a simple cube of the level. | Among all Pokémon, the most plentiful experience group is the Medium Fast group, which was also introduced in Generation I. Requiring Pokémon to have an even 1,000,000 experience points to be at level 100, it is by far the most average of the experience groups, and the one with the simplest equation: to be at a given level, any Pokémon in this group requires experience equal to that level {{wp|cube (algebra)|cubed}}. This group is also often called "cubic", due to its function being a simple cube of the level. | ||
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====Medium Slow==== | ====Medium Slow==== | ||
<math> | |||
\begin{align} | |||
EXP = \dfrac{6}{5}n^3 - 15n^2 + 100n - 140 | |||
\end{align} | |||
</math> | |||
The Medium Slow experience group, like the Medium Fast group, accounts for many Pokémon, containing the second largest amount of them. Most of the Pokémon in this group are part of three-stage evolutionary lines. This group also contains all of the regional [[starter Pokémon]] trios. Requiring 1,059,860 experience points for a Pokémon to reach level 100, it is the only experience group whose level 100 experience is not evenly divisible by 10,000. Pokémon in this group level up relatively quickly in their lower levels, requiring only 11,735 experience to reach level 25 (as compared to 12,187 for Fluctuating, the second lowest requirement). | The Medium Slow experience group, like the Medium Fast group, accounts for many Pokémon, containing the second largest amount of them. Most of the Pokémon in this group are part of three-stage evolutionary lines. This group also contains all of the regional [[starter Pokémon]] trios. Requiring 1,059,860 experience points for a Pokémon to reach level 100, it is the only experience group whose level 100 experience is not evenly divisible by 10,000. Pokémon in this group level up relatively quickly in their lower levels, requiring only 11,735 experience to reach level 25 (as compared to 12,187 for Fluctuating, the second lowest requirement). | ||
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====Slow==== | ====Slow==== | ||
<math> | |||
\begin{align} | |||
EXP = \dfrac{5n^3}{4} | |||
\end{align} | |||
</math> | |||
The final of the four Generation I experience groups, the Slow group features the highest amount of experience required for a Pokémon to reach level 100 in Generations I and II, and the second highest amount since then. Containing many rare, powerful, and [[Legendary Pokémon]], Pokémon in this group are typically very hard to raise; all [[pseudo-legendary Pokémon]], by definition, are in this experience group. At level 100, a Pokémon in this experience group will have 1,250,000 experience points. | The final of the four Generation I experience groups, the Slow group features the highest amount of experience required for a Pokémon to reach level 100 in Generations I and II, and the second highest amount since then. Containing many rare, powerful, and [[Legendary Pokémon]], Pokémon in this group are typically very hard to raise; all [[pseudo-legendary Pokémon]], by definition, are in this experience group. At level 100, a Pokémon in this experience group will have 1,250,000 experience points. | ||
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====Fluctuating==== | ====Fluctuating==== | ||
<math> | |||
EXP = | |||
\begin{cases} | |||
n^3 \Bigg(\dfrac{\bigg\lfloor\dfrac{n+1}{3}\bigg\rfloor + 24}{50}\Bigg) & n < 15 \\ | |||
n^3 \bigg(\dfrac{n+14}{50}\bigg) & 15 \le n < 36 \\ | |||
n^3 \Bigg(\dfrac{\bigg\lfloor\dfrac{n}{2}\bigg\rfloor + 32}{50}\Bigg) & 36 \le n < 100 | |||
\end{cases} | |||
</math> | |||
The second experience group introduced in Generation III and a direct opposite to the Erratic group, the Fluctuating experience group contains the Pokémon which grow the slowest of all, reaching level 100 with a whopping 1,640,000 experience points. It is also, unsurprisingly, the smallest of the experience groups, containing only 14 species. Pokémon within this group require the least amount of experience to grow from level 1, needing only 540 points to reach level 10, as compared to 560 for Medium Slow, the next lowest requirement. They also require the most experience points to go from level 90 to 100—517,340 as compared to 338,750 for Slow, the next highest. Like the Erratic function, the Fluctuating group's level-up equation is calculated in a {{wp|piecewise}} fashion. | The second experience group introduced in Generation III and a direct opposite to the Erratic group, the Fluctuating experience group contains the Pokémon which grow the slowest of all, reaching level 100 with a whopping 1,640,000 experience points. It is also, unsurprisingly, the smallest of the experience groups, containing only 14 species. Pokémon within this group require the least amount of experience to grow from level 1, needing only 540 points to reach level 10, as compared to 560 for Medium Slow, the next lowest requirement. They also require the most experience points to go from level 90 to 100—517,340 as compared to 338,750 for Slow, the next highest. Like the Erratic function, the Fluctuating group's level-up equation is calculated in a {{wp|piecewise}} fashion. | ||
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====Gain formula==== | ====Gain formula==== | ||
{{Outdated|section|needs=additional information for Generation VI onwards}} | {{Outdated|section|needs=additional information for Generation VI onwards; difference in formula if any}} | ||
In the main Pokémon games, only two basic formulas have ever been used: a flat formula, where the winner's level is not taken into account, and a scaled formula, where the difference between both opponents' levels affects the amount of experience the winner receives. [[Generation V]], {{gen|VII}}, and {{gen|VIII}} games use the scaled formula. All other generations use the flat formula, although each generation generally makes its own additions or tweaks to the previous mechanics. | In the main Pokémon games, only two basic formulas have ever been used: a flat formula, where the winner's level is not taken into account, and a scaled formula, where the difference between both opponents' levels affects the amount of experience the winner receives. [[Generation V]], {{gen|VII}}, and {{gen|VIII}} games use the scaled formula. All other generations use the flat formula, although each generation generally makes its own additions or tweaks to the previous mechanics. | ||
Note that if a Pokémon both participated in battle and was holding an Exp. Share—or, in Generation I, the [[Exp. Share|Exp. All]] is in the [[Bag]]—they actually receive experience both from participating in battle and from Exp. Share/Exp. All. Therefore, to arrive at their total experience gained, the formula must be evaluated both for a Pokémon that battled and for one that was holding Exp. Share, and those results must be summed. This does not apply in Generation VI or later, as Exp. Share works differently in those games. | Note that if a Pokémon both participated in battle and was holding an Exp. Share—or, in Generation I, the [[Exp. Share|Exp. All]] is in the [[Bag]]—they actually receive experience both from participating in battle and from Exp. Share/Exp. All. Therefore, to arrive at their total experience gained, the formula must be evaluated both for a Pokémon that battled and for one that was holding Exp. Share, and those results must be summed. This does not apply in Generation VI or later, as Exp. Share works differently in those games. | ||
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In Black 2 and White 2 only, if a Pokémon would gain more than 100,000 experience at once, it instead gains exactly 100,000 experience. | In Black 2 and White 2 only, if a Pokémon would gain more than 100,000 experience at once, it instead gains exactly 100,000 experience. | ||
The flat formula is <math>\Delta EXP = \dfrac {a \times t \times b \times e \times L \times p \times f \times v}{7 \times s}</math>, while the scaled formula in Generation V is<math>\Delta EXP = \bigg(\dfrac{a \times b \times L}{5 \times s} \times \big(\dfrac{2L + 10}{L + L_{p}+10}\big)^{2.5} +1 \bigg) \times t \times e \times p</math>, where: | |||
*''a'' is equal to... | *''a'' is equal to... | ||
**Prior to Generation VII: | **Prior to Generation VII: | ||
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**1 otherwise | **1 otherwise | ||
Depending on the order of multiplication and where rounding down is done, these formulas may produce slightly different results than are seen in-game. | |||
=====Example (Generation II to IV)===== | =====Example (Generation II to IV)===== | ||
An originally owned {{p|Skitty}} holding a [[Lucky Egg]] and an internationally traded {{p|Meowth}} have just defeated a Level 78 Trainer-owned {{p|Garchomp}}, with an originally owned {{p|Salamence}} in the winner's [[party]] holding an [[Exp. Share]]. | An originally owned {{p|Skitty}} holding a [[Lucky Egg]] and an internationally traded {{p|Meowth}} have just defeated a Level 78 Trainer-owned {{p|Garchomp}}, with an originally owned {{p|Salamence}} in the winner's [[party]] holding an [[Exp. Share]]. | ||