Editing Formulas

This is just a collection of formulas for easy reference. It's highly recommended that you read the corresponding article to understand conditions or criteria when the formula may deviate.

== Construction ==

[[Construction]] costs [[platinum]] and [[lumber]].

=== Platinum Cost ===

<code>850+([Total Land]-250)*1.53</code>

=== Lumber Cost ===

<code>88+([Total Land]-250)*0.35</code>

== Espionage and Magic ==

There are two formulas which determine the chance of success for [[espionage]] [[ops]] and offensive [[magic]] [[spells]].

=== Info Ops ===

<code>0.8 ^ (2 / ((Your Ratio / Defender Ratio) * 1.4) ^ 2))</code>

=== Black Ops ===

<code>0.8 ^ (2 / ((Your Ratio / Defender Ratio) * 1.2) ^1.2))</code>

== Land Gains ==

[[Land]] conquered by attacker (and lost by target) during [[invasion]] is calculated according to this formula.

If target is less than 55% the size of the attacker:

<code>0.80 * ( 0.304 * ((Target Size/Attacker Size) ^ 2) - 0.227 * Target Size/Attacker Size + 0.048) * Attacker Size)</code>

If target is greater than or equal to 55% but less than 75% the size of the attacker:

<code>0.80 * (0.154 * ((Target Size/Attacker Size)^2) - 0.069 * Target Size/Attacker Size) * Attacker Size)</code>

For 75% and up:

<code>0.80 * (0.129 * ((Target Size/Attacker Size)^2) - 0.048 * Target Size/Attacker Size) * Attacker Size)</code>

=== Land Generation ===

The amount of acres gained by the attacker is twice the amount conquered.

<code>Land Conquered * 2</code>

== Prestige ==

[[Prestige]] is gained and lost using two different formulas.

=== Prestige Gain ===

<code>60 * Land Ratio </code>

* Only generated on successful invasions where Land Ratio > 75%.
* Cannot exceed 10% of your current prestige.
* Prestige cannot exceed your land size when prestige is added.
* [May be reduced for additional invasions on already invaded target within 24 hours] [is this still applicable?].

=== Prestige Loss ===

<code>Prestige * 0.05</code>

=== Prestige Bonus to OP ===

[[OP]] bonus is multiplicative, meaning it is added to OP bonuses like any other bonus.

<code>Bonus + Prestige / 10000</code>

=== Prestige Bonus to Population and Food ===
[[Population]] and [[food|food production]] bonus from prestige is ''multiplicative''.

<code>Bonus * (1 + Prestige / 10000)</code>

== Rezone ==

The cost of [[rezoning]] is determined by the following formula.

<code>(Land - 250) * 0.6 + 250</code>