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## Formulas in Pocket Mortys

There are several important formulas used in Pocket Mortys. We've listed the most useful ones below.

### XP Formula

When you defeat a Morty, the amount of XP you gain depends on the following formula:

$$\lfloor \frac{Defending Morty Base XP \times Defending Morty Level} {7} \times LevelModifier \times WildModifier \rfloor$$

See Table

###### WildModifier

1.0 for Wild Mortys, 1.5 for Trainer Mortys

###### LevelModifier
$$0.2 \leq 1.0 - 0.25 \times (Attacking Morty level - Defending Morty Level) \leq 1.0$$
###### What This Means

You'll get full experience if your Morty is at or below the defending Morty's level. You will suffer a 25% XP reduction for being 1 level higher, 50% for 2, 75% for 3, and finally an 80% XP reduction for 4 or more levels higher than the defending Morty.

Note: If you used 3 Mortys to defeat a defending Morty, then the XP is split 2:1:1 (50% for the Morty that lands the final blow, 25% for the others).

### Combination Formula

When you combine two Mortys, the resulting Morty's level is determined by the following formula:

$$Higher \ Level \ Morty's \ Level + \lfloor \frac{Lower \ Level \ Morty's \ Level}{2} \rfloor = New \ Morty's \ Level$$
###### What This Means

Take half of your Lower-level Morty's level (rounded down to the nearest whole number) and subtract it from the level of your higher-level Morty.

Ex: Combining a level 20 and level 15 Morty will result in a level 27 Morty. 20 + (15/2) = 20 + 7 = 27

### HP Effort Value (HP EV) Formula

$$New \ HP = ( \lfloor Your \ Morty's \ HP \ IV + Your \ Morty's \ Base \ HP + \lfloor \sqrt {Your \ Morty's \ HP \ EV \ / \ 4} \rfloor + 50 ) \times (Your \ Morty's \ Level \ / \ 50) + 10 \rfloor$$
$$\min (65536, Current \ HP \ EV \ Value + Defeated \ Morty \ Base \ HP)$$
###### What This Means

Ex: A level 10 Morty with an HP Initial Value of 18 and an HP Effort Value of 300 would have ( (18 + 45 + sqrt(300 / 4) + 50) ) * (10/50) + 10 = 34 HP

### Attack Effort Value (Attack EV) Formula

$$New \ Attack = \lfloor Your \ Morty's \ Attack \ IV + Your \ Morty's \ Base \ Attack + \lfloor \sqrt {Your \ Morty's \ Attack \ EV \ / \ 4} \rfloor \times (Your \ Morty's \ Level \ / \ 50) + 5 \rfloor$$
$$\min (65536, Current \ Attack \ EV \ Value + Defeated \ Morty \ Base \ Attack)$$
###### What This Means

Ex: A level 10 Morty with an Attack Initial Value of 18 and an Attack Effort Value of 300 would have ( 18 + 45 + sqrt(300 / 4) ) * (10/50) + 5 = 19 Attack

### Defense Effort Value (Defense EV) Formula

$$New \ Defense = \lfloor Your \ Morty's \ Defense \ IV + Your \ Morty's \ Base \ Defense + \lfloor \sqrt {Your \ Morty's \ Defense \ EV \ / \ 4} \rfloor \times (Your \ Morty's \ Level \ / \ 50) + 5 \rfloor$$
$$\min (65536, Current \ Defense \ EV \ Value + Defeated \ Morty \ Base \ Defense)$$
###### What This Means

Ex: A level 10 Morty with a Defense Initial Value of 18 and a Defense Effort Value of 300 would have ( 18 + 45 + sqrt(300 / 4) ) * (10/50) + 5 = 19 Defense

### Speed Effort Value (Defense EV) Formula

$$New \ Speed = \lfloor Your \ Morty's \ Speed\ IV + Your \ Morty's \ Base \ Speed + \lfloor \sqrt {Your \ Morty's \ Speed \ EV \ / \ 4} \rfloor \times (Your \ Morty's \ Level \ / \ 50) + 5 \rfloor$$
$$\min (65536, Current \ Speed \ EV \ Value + Defeated \ Morty \ Base \ Speed)$$
###### What This Means

Ex: A level 10 Morty with a Speed Initial Value of 18 and a Speed Effort Value of 300 would have ( 18 + 45 + sqrt(300 / 4) ) * (10/50) + 5 = 19 Speed

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