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As of Round 31, damage from black ops is reduced based on the target's spy/wizard ratio.
 
As of Round 31, damage from black ops is reduced based on the target's spy/wizard ratio.
 
=== Damage Reduction ===
 
=== Damage Reduction ===
<code>DaysModifier = (0.025 * (DayInRound - 4) + 0.5</code> (0.5 on Day 4, 1.0 on Day 24, 1.5 on Day 44)
+
<code>DaysModifier = (0.025 * (DayInRound - 4) + 0.5</code>
  
<code>0.72 * LOG( 1 + 4 * (Ratio / DaysModifier))</code> (Ratio/DaysModifier is capped at 1, yielding a max of 50% reduction)
+
<code>(Ratio / 2 / DaysModifier) * 100%</code> with a max of 50% reduction at 0.5 on Day 4, 1.0 on Day 24, and 1.5 on Day 44
  
{| class="wikitable"
+
The damage reduction based on a dominion's ratio is additive with other damage reduction bonuses and caps at 80%. The ratio required to reach the cap of -50% scales linearly throughout the round (from 0.5 to 1.5).
|+ Reduction from spies/wizards per acre
 
|-
 
! Ratio/DaysModifier !! Percent Reduction
 
|-
 
| 0 || 0%
 
|-
 
| 0.1 || 10%
 
|-
 
| 0.2 || 18%
 
|-
 
| 0.3 || 25%
 
|-
 
| 0.4 || 30%
 
|-
 
| 0.5 || 34%
 
|-
 
| 0.6 || 38%
 
|-
 
| 0.7 || 42%
 
|-
 
| 0.8 || 45%
 
|-
 
| 0.9 || 48%
 
|-
 
| 1.0 || 50%
 
|}
 
 
 
For Fireball and Lightning Bolt, the damage reduction comes in the form of reduced vulnerability (the maximum amount of peasants or improvements that can be destroyed). For all other ops, the damage reduction is additive with other damage reduction bonuses and caps at -80%. The ratio required to reach the cap of -50% scales linearly throughout the round (from 0.5 to 1.5).
 
  
 
== See Also ==
 
== See Also ==

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