Damage Calculation

October 14, 2023

The numbers on your Unit [in their Attribute colors] is called Displayed ATK.
The number above their head with the multiplier is the Unit Multiplier.

= Unit ATK (x1.00 ATK is what you see in monster box in the white text)

= Unit Multiplier (UM)

= Displayed ATK (DA)

Phases

0. PREPHASE – (Matching)

^{Starts: When you move the first orb
Ends: When you let go of the orb}

Step where you do the physical puzzling.

1. SINGLE MATCH – Bonuses – (Bouncing number on unit every time [matching] orb disappears)

^{Starts: When first orb disappears (combo count going up)
Ends: After the board cascades to a dead board (looks like [no sky fall] for a quick second)}

Your Displayed Attack (DA) will do a bounce animation when the [orb match disappearing], color matches the unit.

This step strictly discusses a SINGLE MATCH, to get the number shown on the unit BEFORE the “Combo x” text starts to disappear. There are ATK bonuses being applied as the orbs are being erased.

_{In a simple scenario, a 3-orb match would be deal x1.00 of ATK, so reflecting Monster Box Unit ATK.}

[1A] Excess Orb Bonus
^{(applicable if you connected more than the 3 minimum – in a single match)}
^{(if increased, the damage buff/enhance is applied to just that specific match / for that specific attribute)}

3 orbs = x1.00 of ATK
4 orbs = x1.25
5 orbs = x1.50
6 orbs = x1.75
7 orbs = x2.00

8 orbs = x2.25
9 orbs = x2.50
10 orbs = x2.75
11 orbs = x3.00
same pattern, +0.25

[1B] Excess Match Bonus
^{(applicable if you match the same color again or thrice, etc – in a turn)}

0 orbs = + [x0.00 of ATK]
3 orbs = + [x1.00]
4 orbs = + [x1.25]
5 orbs = + [x1.50]
6 orbs = + [x1.75]

7 orbs = + [x2.00]
8 orbs = + [x2.25]
9 orbs = + [x2.50]
10 orbs = + [x2.75]
same pattern, +0.25

IMPORTANT: Interaction between the two are ADDITIVE.
Think of each match individually.

ADDITIVE Example 1

^{If matching 3 sets of [}^{],
then damage is [x1.00]+[x1.00]+[x1.00] = [x3.00] Wood ATK so far}

^{If matching 1 set of 9 wood orbs,}
^{then damage is 1+(8 x 25%) = [x2.50] Wood ATK so far}

^{If matching 3 sets of [3/5/9 green orbs],}
^{then damage is [x1.00]+[x1.50y]+[x2.25y] = [x4.75] so far}
_{y is a placeholder to indicate where the [shapes multiplier] would take place if had T & VDP awakenings.}

[1C] Awakening: Shape Bonus
^{(applicable if you have the awakening AND create the shape(s) – in a match)}

4 orbs = x1.25^{ATK innately (see 1A)}
with = [1.7] x1.25^ATK=
+[x2.125^ATK]
with = [1.7×2.89] x1.25^ATK=
+[x6.14125^ATK]

5 orbs = x1.50^{ATK innately (see 1A)}
with = 2.2 x1.50^ATK=
+[x3.3^ATK]
with = 4.0 x1.50^ATK=
+[x6.0^ATK]
with = 9.0 x1.50^ATK=
+[x14.5^ATK]

9 orbs = x2.50^{ATK innately (see 1A)}
with = 3.5 x2.50^ATK=
+[x8.75^ATK]
with = 12.25 x2.50^ATK=
+[x30.625^ATK]

12 orbs = x3.25^{ATK innately (see 1A)}
with = 12.0 x3.25^ATK=
+[x39.0^ATK]
- Only shape that can take additional orbs

IMPORTANT:
Shape awakenings are MULTIPLICATIVE with the same type.
Shapes in conjunction with other shapes are ADDITIVE.
Shapes activation repeated are ADDICTIVE.

ADDITIVE Example 2

^{If I did a 6c match with all colors, with [1}^{awakening] on one unique color
then damage is [4.48×1.50 ATK]+[x0.00]+[x0.00]+[x0.00]+[x0.00]+[x0.00] = [x6.72 ATK] so far}
^{The [x0.00] shows how the non-matching color orbs are taken into calculation.}
^{If I did a 9c match, [and unit has 2}^{& 3}^{] awakenings (matched 1 each shape on a unique color)}^{then damage is [2*2.89×1.25 ATK]+[3*9.0×2.50 ATK]+[x0.00]+[…] =}
^{7.225 ATK + 67.5 ATK =}^{[x74.725 ATK] so far}

^{If I did a 3c match, and unit has 3}^{awakenings (matched 3 TPA of that color)
then damage is [3*2.89×1.25 ATK]+[3*2.89×1.25 ATK]+[3*2.89×1.25 ATK]}
^{[x32.5125 ATK] so far}

5 matches [4,4,5,5,5 orbs] with [2 TPA & 1 of each other shape], same color
^{with awakenings
TPA + Cross + L + T =}= 2.89 x1.25^ATK + 2.89 x1.25^ATK + [3×9] x1.50^ATK + 2.2 x1.50^ATK + [4×4] x1.50^ATK
3.6125 + 3.6125 + 40.5 + 3.3 + 24 = 75.034^{ATK [unit color ATK sum so far]}

[1D] Awakening: Enhanced Orb Bonus
^{(applicable if team has awakening and unit color is the same & used enhanced orb – in a match)}
^description:
^{1+[.06*enhanced orb matched] * 1+[.07*enhanced orb on team]}
^{_{Because of of the clause being on team, it doesn’t matter who equips the awakening, all matching colors (to awakening) will benefit.}}

^{The number coming from this bonus is multiplied onto that specific MATCH in the same fashion shapes do, and then added with the rest of the ATK of the [same color matches].}

Enhanced orb example (1 combo)

1 e^orb, 4 connected orbs, 1c
- with 1 on team =
  [1.06×1.07] x1.25^ATK=
  + [x1.42^{ATK for all FIRE}]

12 e^orb, 30 full board connected, 1c
- with 9 on team =
  [1.72×1.63] x7.75^ATK=
  + [x21.85^ATK]

[1E] Active Buff Bonus

The buff is passively applied as orbs are erased (you will see it go into effect when it does a sideways bounce).

2. Combo Bonus + Team Bonus

This step discusses the Unit Multiplier (UM) that appears on top of the unit.

^{Starts: When ‘combo 2’ disappears, and ALL numbers start bouncing
Ends: At the end damage result}

The combos will start to count up one by one from “Combo 2” to “Combo x”, unless you have [Skip Combos] on in the options.

in the image to the left, my UM was briefly x1.0^ATK due to only 1c of 3 darks (+3c from LS)
= 4517 ATK (same as monster box view)

The final UM of x92,697 comes from
x1.0^ATK x 27 x [6.25⁴] x 2.25
^{_{[ATK sum for dark ATT erased][LS 1 * LS 2][Global Awakenings][Combo Bonus]}}^{(See 2A)}

^{_{In a simple scenario, a [1c]&3-orb match would display a flat x1.00 damage, so you have the same ATK as on the team view.}}

[2A] Combo Bonus (multiply to UM)
^{(applicable if you matched than 1 combo. Multiplied to (UM))}

1c = x0.00
2c = x1.25
3c = x1.50
4c = x1.75
5c = x2.00

6 orbs = x2.25
7 orbs = x2.50
8 orbs = x2.75
same pattern, +0.25
makes it interesting

_{^{if you matched the same color twice, the ATK is addictively increased (see [1B])}}

[2B] Leader Skills Bonus (multiply to UM)
^{LS with [matching condition for ATK] will apply their multiplier if the condition is met.}
^{Units with no LS as lead, or leaders that are bound will have x1.0 as this value.}

[2C] Awakenings: Global (multiply to UM)
^{These awakenings [stack/multiply with themselves as awakenings],}

(Global:Unit) Activation: Only once per turn
^{(These can be multiplied with each other [when conditions met] to get the UM for that specific unit) (see awakenings)}

(Global:Teamwide) Activation: Can be repeated for additive Color ATK bonus.
^{(It doesn’t matter who has equips these awakenings, all ATT matching awakening will benefit – could be on a totally off color unit)}
- Multiply UM by 1+(0.20 *^{_{# rows matched}} * ^{_{row awakening on team}})
  ㅤ
  _{^{Replace 0.20 with 0.60 for the x3 variation}}
  _{^{note: Rows also innately have the Excess Orb Bonus x1.75(See 1A) at 6 orbs}}
  ㅤ
- +15% ^_/ +30% per (per extra combo)
  Multiply UM by 1+(0.15 * ^{_{# extra combos}} * ^{_{taki awakening on team}})
  ㅤ
  ^{_{Replace 0.15 with 0.30 for the x2 variation}}
  ^{_{note: Taki loses Excess Orb Bonus over Rows [no x1.75x], but innately with the same orbs gets 2 [+1.00x ATK].}}
  ㅤ

[2D] Attribute pseudo Gravity
^{(applicable to all colors except main ATT. Multiplied to (UM))}
^{Sub+2nd Sub-Attributes forego a gravity depending on their color conditions.}
^{_{The multiplier will only show display of the highest output, (in a case where a unit has multiple attributes, and both are matched).}}

Main Attribute (regular) = x1.00
Sub Attribute = x0.33^{_{/ x0.10 / x0.15 / x1.00}}
2nd Sub Attribute = x0.05

^{Attribute Hit Priority}

UM = [Dead board ATT ATK Sum] * [Combo Bonus] * [LS1 x LS2] x [Active Buffs] * [Global Awakenings] * [Attribute Gravity]

DA = [UM] x [Unit ATK]

3 responses to “Damage Calculation”

rpxx

October 17, 2023 at 8:57 am

Good info, parts a bit confusing. Not sure about the “attribute pseudo gravity”: don’t all second attributes get .15 now, no matter what color they are?

Since a lot of this is about how things look, you could add to “Unit ATK (x1.00 ATK is what you see in monster box)” that when you look at a monster in its full display the ATK number will cycle through different colors: the white number is the total ATK from all contributors, the gold number is the contribution from plus eggs, the blue number is the contribution from having an assist monster of the same color, and the green number is the contribution from awoken assists.

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1. k boba
  
  October 17, 2023 at 12:55 pm
  
  2nd color’s ATK percent output is dependent on
  (if colors are different = 33%, if same = 10%, if used awakening 15%, and if no main attribute, then it would 100%).
  
  As for the coloring on the monster box — when the blue(same att)/green(latent)/gold(plus) affects are highlighted, the stat box will only show their respective (+)smallish value, and not a flat stat.
  
  The white color also already sums of all the extra stats from the blue/green/gold colors (you can see this when you unequip), which should be the expected base damage.
  
  I clarified for white text on the post 😀
  
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  1. rpxx
    
    October 17, 2023 at 1:09 pm
    
    Maybe I’m just not understanding it, but as of Version 20.0 all of the sub attribute damages were changed to 15% whether they are the same as or different from the main attribute:
    
    https://www.puzzleanddragons.us/single-post/ver-20-0-update
    
    I know that the blue/green/gold colors only show their added contributions, not the total, but seeing the added contributions is useful for new players so they can see how much different things contribute.
    
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eschamali