User:333-blue/sandbox/Pokémon GO formulas/Imagines/Gym Prestige & XP Formulas

New gym formulas with the legendary birds.

Training

Type	Prestige gained in the type	XP gained in the type
Putting a Pokémon in a friendly/neutral Gym	1500	150 (15 PokéCoins)
Gaining Gym Prestige	500 * (D/A) * Match	50 * (D/A) * Match
	(10 * Match) Prestige minimum	(1 * Match) XP minimum
	(1000 * Match) Prestige maximum	(100 * Match) XP maximum
Full Clear Bonus	1	0
Past Wall Bonus	0	1

Attacking

Type	Prestige attacked in the type	XP gained in the type
Attacking Gym Prestige	[1500 * (D/A)] / 3 * Slot	(150 / 3) + (95 + 10 * Match)
	(750 / 3 * Slot) Prestige minimum
	(3000 / 3 * Slot) Prestige maximum

Slot

Type	Slot
Empty	1 (not attacked)
Normal	Match + Empty
King	10

Difference with the current in-game Gym Formula

$Lvl(CPScalar)=CPMulti$

Type	In-game Gym Formula	This Gym Formula
ATK	$Round(ScaledATK\cdot SpeedMod)$	$NormalATK\cdot {\frac {4}{5}}+SpecialATK\cdot {\frac {3}{4}}+Speed\cdot {\frac {2}{3}}$
	$ScaledATK=Round[({\frac {7}{8}}\cdot HigherTypeATK+{\frac {1}{8}}\cdot LowerTypeATK)\cdot 2]$
	$SpeedMod=1+{\frac {Speed-75}{500}}$
CP	${\frac {ATK\cdot {\sqrt {DEF}}\cdot {\sqrt {STA}}\cdot (CPMulti)^{2}}{10}}$	$[{\frac {ATK\cdot {\sqrt {DEF}}\cdot {\sqrt {STA}}}{10}}+Speed+(Total\cdot 0.5)]\cdot [(Trainer+1.5)CPScalar]^{\frac {2}{3}}\cdot [(Pok{\acute {e}}mon)CPScalar]^{1.5}$
Cooldown	2 + MCD	Unchanged
Type Effectiveness Multiplier	1.25	1.25
	1	1
	0.8	0.8
	Immunity →0.8	Immunity →⅔
	Anti-immunity = 1	Anti-immunity = 1.5
STAB	1.25	1.25
Gym Level 1 Prestige needed	0	1000 − 1500
Gym Level 2 Prestige needed	2000	3000 − 1500
Gym Level 3 Prestige needed	4000	6000 − 1500
Gym Level 4 Prestige needed	8000	10000 − 1500
Gym Level 5 Prestige needed	12000	15000 − 1500
Gym Level 6 Prestige needed	16000	21000 − 1500
Gym Level 7 Prestige needed	20000	28000 − 1500
Gym Level 8 Prestige needed	30000	36000 − 1500
Gym Level 9 Prestige needed	40000	45000 − 1500
Gym Level 10 Prestige needed	50000	55000 − 1500
Maximum Prestige Training	50000	55001 + 1500 * Pokémon placed in the Gym
Maximum Prestige Possible	70000	70001
Maximum Prestige TPB	10000	55001
Minimum Prestige Possible	0	∞
Damage	$Floor(0.5\cdot Power\cdot {\frac {ATK}{DEF}}\cdot STAB\cdot Effective)+1$	$[Floor(0.5\cdot Power\cdot {\frac {ATK}{DEF}}\cdot STAB)+1]\cdot Effective$
	$ATK=(BaseAttack+AttackIV)\cdot CPMulti$	$ATK=(BaseAttack+AttackIV+{\frac {TotalIV-AttackIV}{3}})\cdot (BaseSpeed+SpeedIV)\cdot CPMulti$
	$DEF=(BaseDefense+DefenseIV)\cdot CPMulti$	$DEF=(BaseDefense+DefenseIV+{\frac {TotalIV-DefenseIV}{3}})\cdot (BaseSpeed+SpeedIV)\cdot CPMulti$
Reward reaching prestige below (0 − 500)	—	Battle with your team's legendary bird and catch it (rate depends on its HP: 1% * Maximum / Current →100% if faint or over 100% rate, 0% flee) →Assigned to the gym and the prestige goes back to 1000 if success →Other trainers have chance to battle with their teams' legendary bird if fail →Until someone successes