Revision as of 18:16, 12 November 2013

Previous Guild Battle Events

Finding A Units Guild Battle/Battle Arena Attack

Note: this is the formula to use during Battle Arena events (and Guild Battle events), where you create a team of 7 units (or 10 units) and fight without the aid of your allies. The formula to use during normal Arena events, where you create a team of 5 units and fight with the aid of 2 random allies, is found in a different topic: Colosseum Events

During Battle Arena events, the damage units deal is determined by these factors:

RANK - The rank of the unit. In other words, the amount of stars it has. However, RANK kan never be higher than 6! For units with 7 or more stars, use 6 as the value of RANK. For example: Orlando is a 2* unit. His rank is 2. Anton is a 4* unit. His rank is 4. Lilith is a 7* unit. Her rank is 6. LEVEL - The level of the unit. Note: this concerns the unit's current level, not his maximum level. HIGH BASE DMG - The highest number of the unit's 3 attack numbers: land, sea or air. Bonuses, such as skills that increase dmg by a cerain percentage, are not included. In other words, this is the number you see on the card when it's in your unit list, not when it's in battle. For example: at level 80 without any bonuses, Anton has 36528 land damage, 0 air damage and 18586 sea damage. His highest base damage is 36528. At level 100 without any bonuses, Rose has 36250 land damage, 38800 air damage and 35240 sea damage. Her highest base damage is 38800. MID BASE DMG - The second-highest number of the unit's 3 attack numbers: land, sea or air. Bonuses, such as skills that increase dmg by a cerain percentage, are not included. In other words, this is the number you see on the card when it's in your unit list, not when it's in battle. For example: continuing on from the examples of Anton and Rose, Anton's second-highest base damage is 18586 and Rose's second-highest base damage is 36250.

The formula to calculate the damage dealt in a Battle Arena battle is as follows:

Battle Arena Damage = ( 1 - 1.5 * RANK ^ 2 / 100 ) * ( HIGH BASE DMG + MID BASE DMG ) * LEVEL / 100

The final Battle Arena Damage is rounded up or down to an integer number (down if the first decimal is smaller or equal to 4, up if the first decimal is greater or equal to 5).

For example: let's calculate the Battle Arena Damage for a level 80 Anton. Anton has rank 4. His highest base damage is 36528. His second-highest damage is 18586. Battle Arena Damage = ( 1 - 1.5 * RANK ^ 2 / 100 ) * ... Battle Arena Damage = ( 1 - 1.5 * 4 ^ 2 / 100) * ... Battle Arena Damage = ( 1 - 1.5 * 16 / 100) * ... Battle Arena Damage = ( 1 - 24 / 100) * ... Battle Arena Damage = ( 1 - 0.24) * ... Battle Arena Damage = 0.76 * ... Battle Arena Damage = 0.76 * ( HIGH BASE DMG + MID BASE DMG ) * ... Battle Arena Damage = 0.76 * ( 36528 + 18586 ) * ... Battle Arena Damage = 0.76 * 55114 * ... Battle Arena Damage = 0.76 * 55114 * LEVEL / 100 Battle Arena Damage = 0.76 * 55114 * 80 / 100 Battle Arena Damage = 33509.312 Battle Arena Damage = 33509

If you want to simplify the formula, you could split it into different formula's for each rank:

7* Battle Arena Damage = 0.46 * ( HIGH BASE DMG + MID BASE DMG ) * LEVEL / 100

6* Battle Arena Damage = 0.46 * ( HIGH BASE DMG + MID BASE DMG ) * LEVEL / 100

5* Battle Arena Damage = 0.625 * ( HIGH BASE DMG + MID BASE DMG ) * LEVEL / 100

4* Battle Arena Damage = 0.76 * ( HIGH BASE DMG + MID BASE DMG ) * LEVEL / 100

3* Battle Arena Damage = 0.865 * ( HIGH BASE DMG + MID BASE DMG ) * LEVEL / 100

You could simplify it even further, by assuming maximum level without level breaking:

Level 140 7* Battle Arena Damage = 0.644 * ( HIGH BASE DMG + MID BASE DMG )

Level 120 6* Battle Arena Damage = 0.552 * ( HIGH BASE DMG + MID BASE DMG )

Level 100 5* Battle Arena Damage = 0.625 * ( HIGH BASE DMG + MID BASE DMG )

Level 80 4* Battle Arena Damage = 0.608 * ( HIGH BASE DMG + MID BASE DMG )

Level 60 3* Battle Arena Damage = 0.519 * ( HIGH BASE DMG + MID BASE DMG )

Or if Ambrosia fruits were used to raise their maximum level by 20 levels:

Level 140 7* Battle Arena Damage = 0.736 * ( HIGH BASE DMG + MID BASE DMG )

Level 140 6* Battle Arena Damage = 0.644 * ( HIGH BASE DMG + MID BASE DMG )

Level 120 5* Battle Arena Damage = 0.75 * ( HIGH BASE DMG + MID BASE DMG )

Level 100 4* Battle Arena Damage = 0.76 * ( HIGH BASE DMG + MID BASE DMG )

Level 80 3* Battle Arena Damage = 0.692 * ( HIGH BASE DMG + MID BASE DMG )

For anyone wanting to use this formula in a Spreadsheet where you have the base damage numbers of all characters and you want to assume the character is at its maximum level without using ambrosia, here's how you would rewrite the formula (you would have to replace "RANK", "LAND ATK", "AIR ATK" and "SEA ATK" with the appropiate columns):

=ROUND((1-1.5*MIN(RANK;6)^2/100)*(SUM(LAND ATK;AIR ATK;SEA ATK)-MIN(LAND ATK;AIR ATK;SEA ATK))*20*MIN(RANK;6)/100;0)

Or if you want to assume ambrosia has been used to raise the maximum level by 20 levels:

=ROUND((1-1.5*MIN(RANK;6)^2/100)*(SUM(LAND ATK;AIR ATK;SEA ATK)-MIN(LAND ATK;AIR ATK;SEA ATK))*20*(MIN(RANK;6)+1)/100;0)

In these formula, it is assumed RANK can be higher than 6, so MIN(RANK;6) is used to make sure no value higher than 6 is used there.