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''nb: i've seen other formulas claimed for maximum HP, but they don't seem to match reality. everywhere i've checked, maximum HP = ⌊Eff<sub>S</sub>⌋''
''nb: i've seen other formulas claimed for maximum HP, but they don't seem to match reality. everywhere i've checked, maximum HP = ⌊Eff<sub>S</sub>⌋''
==Battle mechanics==
Battles proceed in "turns" corresponding to half-second quanta.
===Types of combat===
* ''Trainer Battles'' pit two teams of three Pokémon against one another. One Pokémon is active for each side at a time. The Battle is over when one or both sides have no Pokémon left standing (or surrender). Each team gets two Shields capable of blocking Charged Attacks. Trainers can pick the next active Pokémon when one is KOd, and there are limited substitutions.
* ''Gym battles'' occur when a Gym occupied by one Team is assaulted by Trainers of other teams. A Gym is defended by between one and six Pokémon of the same Team. Each Trainer can bring six Pokémon to the assault. The attackers fight the defenders in series. When a defender is KOd, it is returned (with zero health) to its Trainer. When all defenders are KOd, the Gym is cleared, and a new Team can take it by leaving a defender. Defenders cannot be recalled. There are no shields, but play is otherwise in the style of Trainer Battles.
* ''Raids'' task one or more (up to twenty) Trainers with defeating a powerful raid boss within a time limit. Each Trainer can bring six Pokémon into the battle at a time. If all six are defeated, the Trainer can reenter the raid with another six (assuming there is time left).
* ''Max battles'' task one or more (up to four) Trainers with defeating a powerful Dynamax or Gigantamax Pokémon in a form similar to a Raid. They furthermore feature a "Max Meter", shared by all Trainers. When the Max Meter fills, active Pokémon shift to their Dynamax or Gigantimax forms, and can execute three Max Moves. They then revert to their normal forms, and the Meter is reset. The Meter advances whenever damage is done to the opponent, when defeated Trainers cheer, and when active Pokémon pick up a Max Bonus on the field. Each Trainer can bring three Dynamax-capable Pokémon into the battle. If all three are defeated, the Trainer can cheer remaining Trainers


===Attacks===
===Attacks===
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{{:Pokémon_Go_charged_Attack_data}}
{{:Pokémon_Go_charged_Attack_data}}
====Adventure Effects====
Pokémon taught certain Attacks can use them outside of battle for a cost in Stardust and that Pokémon's Candy. These are called Adventure Effects, and only one can be active at a time per Trainer.
{|class="wikitable"
! Attack !! Cost !! Time per use !! Effects
|-
| Roar of Time || 5k + 5 Dialga Candy || 6 min ||
|-
| Spacial Rend || 5k + 5 Palkia Candy || 10 min ||
|-
| Ice Burn || 5k + 5 Kyurem Candy || 10 min ||
|-
| Freeze Shock || 5k + 5 Kyurem Candy || 10 min ||
|-
| Sunsteel Strike || 3k + 5 Necrozma Candy || 10 min ||
|-
| Moongeist Beam || 3k + 5 Necrozma Candy || 10 min ||
|-
|}
==Battle mechanics==
Battles proceed in "turns" corresponding to half-second quanta.
===Types of combat===
* ''Trainer Battles'' pit two teams of three Pokémon against one another. One Pokémon is active for each side at a time. The Battle is over when one or both sides have no Pokémon left standing (or surrender). Each team gets two Shields capable of blocking Charged Attacks. Trainers can pick the next active Pokémon when one is KOd, and there are limited substitutions.
* ''Gym battles'' occur when a Gym occupied by one Team is assaulted by Trainers of other teams. A Gym is defended by between one and six Pokémon of the same Team. Each Trainer can bring six Pokémon to the assault. The attackers fight the defenders in series. When a defender is KOd, it is returned (with zero health) to its Trainer. When all defenders are KOd, the Gym is cleared, and a new Team can take it by leaving a defender. Defenders cannot be recalled. There are no shields, but play is otherwise in the style of Trainer Battles.
* ''Raids'' task one or more (up to twenty) Trainers with defeating a powerful raid boss within a time limit. Each Trainer can bring six Pokémon into the battle at a time. If all six are defeated, the Trainer can reenter the raid with another six (assuming there is time left).
* ''Max battles'' task one or more (up to four) Trainers with defeating a powerful Dynamax or Gigantamax Pokémon in a form similar to a Raid. They furthermore feature a "Max Meter", shared by all Trainers. When the Max Meter fills, active Pokémon shift to their Dynamax or Gigantimax forms, and can execute three Max Moves. They then revert to their normal forms, and the Meter is reset. The Meter advances whenever damage is done to the opponent, when defeated Trainers cheer, and when active Pokémon pick up a Max Bonus on the field. Each Trainer can bring three Dynamax-capable Pokémon into the battle. If all three are defeated, the Trainer can cheer remaining Trainers


Calculating an Attack's damage requires the attacker's Eff<sub>A</sub>, the defender's Eff<sub>D</sub>, two multipliers M and M<sub>M</sub>, and the Attack's P. The result is subtracted from the defender's HP. We will see that damage is always a positive integer, and thus HP is always an integer.
Calculating an Attack's damage requires the attacker's Eff<sub>A</sub>, the defender's Eff<sub>D</sub>, two multipliers M and M<sub>M</sub>, and the Attack's P. The result is subtracted from the defender's HP. We will see that damage is always a positive integer, and thus HP is always an integer.
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Note that Level 42 requires evolving one of each Eevee type (while at Level 41).
Note that Level 42 requires evolving one of each Eevee type (while at Level 41).
==Oddities and irregularities==
===Adventure Effects===
Pokémon taught certain Attacks can use them outside of battle for a cost in Stardust and that Pokémon's Candy. These are called Adventure Effects, and only one can be active at a time per Trainer.
{|class="wikitable"
! Attack !! Cost !! Time per use !! Effects
|-
| Roar of Time || 5k + 5 Dialga Candy || 6 min ||
|-
| Spacial Rend || 5k + 5 Palkia Candy || 10 min ||
|-
| Ice Burn || 5k + 5 Kyurem Candy || 10 min ||
|-
| Freeze Shock || 5k + 5 Kyurem Candy || 10 min ||
|-
| Sunsteel Strike || 3k + 5 Necrozma Candy || 10 min ||
|-
| Moongeist Beam || 3k + 5 Necrozma Candy || 10 min ||
|-
|}


==Strategy==
==Strategy==
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