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'''Resilience''' is a defensive stat that is generated when you are targeted by [[Ops#Black_Ops|Black Ops]] during a war.  
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'''Resilience''' is a defensive stat that is generated when you are targeted by [[Ops#Black_Ops|Black Ops]] during a war. It decreases the amount of damage taken from those Black Ops.
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Spy resilience increases the recovery of wizard strength and is gained when targeted by spy ops.
 
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Wizard resilience increases peasant growth and is gained when targeted by hostile spells.
 
  
 
== Generating Resilience and Formulas ==
 
== Generating Resilience and Formulas ==
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[[File:Resilience Round 22 Status Screen.png|thumb|Note the Spy Resilience on this Dark Elf - they have been partially sunk (sinking no longer generates resilience).]]
 
[[File:Resilience Round 22 Status Screen.png|thumb|Note the Spy Resilience on this Dark Elf - they have been partially sunk (sinking no longer generates resilience).]]
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== Resilience Values and Damage Reduction ==
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{| class="wikitable"
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! Resilience Amount
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! Damage Reduction
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|-
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| 0
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| 0%
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|-
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| 100
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| 5.34%
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|-
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| 200
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| 8.95%
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|-
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| 300
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| 14.12%
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|-
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| 400
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| 21.00%
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|-
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| 500
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| 29.54%
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|-
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| 600
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| 39.40%
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|-
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| 700
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| 50.00%
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|-
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| 800
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| 60.59%
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|-
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| 900
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| 70.45%
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|-
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| 1000
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| 78.99%
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|}
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This value is multiplicative with other decreases, such as the Towers [[Improvements|Improvement]].
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== Damage Reduction example ==
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The following table shows the effect of resilience in a very simple set-up. All ops in this example are done in a single hour, and the Sabotage Boats op is used. This normally sinks 2.4% of all boats that are not protected by Docks or the Harbour improvement, and because it's a Spy Black Op, every success adds 8 resilience. The third column shows what damage would have been done without resilience, whereas the fourth column shows the damage done with resilience damage reduction applied.
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{| class="wikitable"
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! Amount of successful ops
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! Resilience
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! Unprotected boats left w/o resilience
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! Unprotected boats left w/ resilience
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|-
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| 0
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| 0
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| 100%
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| 100%
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|-
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| 20
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| 160
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| 63.44%
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| 63.87%
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|-
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| 40
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| 320
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| 40.24%
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| 41.38%
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|-
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| 60
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| 480
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| 25.53%
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| 27.71%
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|-
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| 80
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| 640
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| 16.19%
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| 19.71%
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|-
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| 100
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| 800
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| 10.27%
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| 15.25%
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|-
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|}
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The relative reduction of resilience only starts being a noticeable factor after the target has been hit by a bunch of ops already. Resilience will not, and is not meant to, allow someone to run bad ratios and get away with it. It does, however, allow for faster recovery if the attacking realm tries to drive someone into the ground.
  
 
== References ==
 
== References ==
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<sup>1</sup> Erf is the [https://en.wikipedia.org/wiki/Error_function Gauss Error function.]
  
 
== See Also ==
 
== See Also ==

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