View source for Attacking & Defending

==Military Efficiency==
===Base Military Efficiency===
 <b>Base Military Efficiency =</b> ((4/3 * WageRate<sup>3</sup>) - (8 * WageRate<sup>2</sup>) + (22.26 * WageRate) + 84.4) * [[Gangbang Protection]]
* Rounded to one decimal point, it should return the most accurate values. Wage Rate lies between 50 to 200.

{{Modifier}}
| '''Gangbang Protection || Varies, see [[GBP]] 
|-
|}

===Offensive Military Efficiency===
 <b>OME =</b> Base Military Efficiency * [[Exploring,_Construction_%26_Building_Formulas#Effects_of_Buildings|Training Ground Bonus]] * [[Honor]] Bonus * [[Mystics#Fanaticism|Fanaticism]]

{{Mods}}
|-
| '''[[Mystics#Fanaticism|Fatanaticism]]''' || 1.05 || 1
|-
| '''[[Honor]]''' || ''Refer to table''
|-
| '''[[Exploring,_Construction_%26_Building_Formulas#Effects_of_Buildings|TG Bonus]]''' || ''Refer to Internal Advisor''
|-
|}

===Defensive Military Efficiency===
 <b>DME =</b> (Base Military Efficiency + [[Exploring,_Construction_%26_Building_Formulas#Effects_of_Buildings|Forts Bonus]]) * [[Mystics#Minor_Protection|Minor/Greater Protection]] * [[Mystics#Fanaticism|Fanaticism]] * [[The Plague|Plague]]

{{Mods}}
| '''[[Mystics#Minor_Protection|Greater/Minor Protection]]''' || 1.05 || 1
|-
| '''[[Mystics#Fanaticism|Fanaticism]]''' || 0.97 || 1
|-
| '''[[The Plague|Plague]]''' || 0.85 || 1
|-
|}

==Attacking==
===Raw Offense===
 <b>Raw Off =</b> Soldiers + (Offensive Specs * Offspec value) + (Elites * Elite Attack value) + Horses + [(Mercs + Prisoners) * 3]

===Modified Offense===
 <b>Mod Off =</b> Raw Offense * [[OME]] * General Bonus * Stance * [[Personality]]

{{Table}}
|-
| '''OME''' || ''check your Military Advisor''
|-
| '''General Bonus''' || 1.03 (2 gens), 1.06 (3 gens), 1.09 (4 gens), 1.12 (5 gens - Cleric only)
|-
| '''[[Stance]]: Fortified''' || 0.85 (Fortified), 1 otherwise
|-
| '''[[Personality]]: Warrior''' || 1.1 (Warrior in war only), 1 otherwise
|}

===Attack Times===

 <b>Attack Time =</b> Base Attack Time * [[Race]] Bonus * [[Personality]] Bonus * [[Buildings#Barracks|Barracks]] Bonus * [[Mystics#Quick_Feet|Quick Feet]]  
                * [[Mystics#Anonymity|Anonymity]] * [[Stance]] * Attack Type * [[War]] * NW Mod + [[Mystics#Fog|Fog]]


{{Mods}}
| '''Personality: [[Personality#The_Warrior|Warrior]]''' || 0.85 || 1
|-
| '''Race: [[Race#Avians|Avian]]''' || 0.75 || 1
|-
| '''[[Mystics#Quick_Feet|Quick Feet]]''' || 0.9 || 1
|-
| '''[[Mystics#Anonymity|Anon]]''' || 1.15 || 1
|-
| '''[[Stance]]: Aggressive''' || 0.9 || 1
|-
| '''[[Stance]]: Fortified''' || 1.15 || 1
|-
| '''Relations: [[War]]''' || 0.80 || 1
|-
| '''[[Mystics#Fog|Fog]]''' || +3 hours || 0
|}
* Note: War attack speed is -10% immediately on war declaration, and phases in to a maximum of -20% after 12 hours of war have passed
* There is a networth value adjustment for attack times. This adjustment compares your networth to the networth of the province you are planning to attack. If these are close to each other the base attack times as given below are used. If the networth differs, then the base attack time is multiplied, so your attack time is longer. This does not affect intra-KD attacks or in war. 

====Base Attack Time====
{{Table}}
|'''Location''' || <b><i>Intra KD</i></b> || <b><i>Same Island</i></b> || <b><i>Diff Island</i></b>
|-
| '''Base Attack Times''' || 12.6 || 14.4 || 16
|-
|}

====Minimum Offense to Win====
[[Military#Random_Factor|Random factor]] is +-3.5% for offense and defense. Off/def ratio needed to win is 0.97. Thus in the worst case (-3.5% offense, +3.5% defense) the borderline winning situation is:
 <b>Condition to Win =</b> (Mod Off * 0.965) / (Mod Def * 1.035) ≥ 0.97
Which simplifies to:
 <b>Mod Off =</b> Mod Def * 0.97 * 1.035 / 0.965

 <b>Mod Off =</b> Mod Def * 1.040362694
Therefore, to guarantee a win, you must send a Mod Off that is ~4.04% greater than the defenders Mod Def.

On Conquest attacks, the minimum offense to win is 51% of the opponents defense.

==Attack Gains==
  <B>Gains</b> = Target Resource * Attack Type * [[Attacking_%26_Defending#Province_Networth_Factor|PNF]] * [[Attacking_%26_Defending#Kingdom_Networth_Factor|KNF]] * GBP * GS * Race * Stance * Relations * Science * Target Stance

{{Mods}}
| '''[[Buildings#Guard_Stations|Guard Stations]]''' || ''Variable, check [[Buildings#Guard_Stations|link]]''
|-
| '''[[Stance#Stances|Stance/Target Stance]]''' || ''Check your/your target's kingdom page''
|-
| '''Gains Science''' || ''Check your science page''
|-
| '''Race: [[Race#Orcs|Orc]]''' || 1.3 || 1
|-
| '''[[Gangbang Protection]] || ''Variable, check [[Gangbang_Protection|link]]''
|-
| '''[OOW] Kingdom NW''' || ''See Below''
|-
| '''Province NW''' || ''See Below''
|-
| '''Attack Type''' || ''See Below''
|}


===Province Networth Factor===

  <b>Relative Province Networth </b>(rpnw) = Targets Networth / Self Networth
  
  <b>Province Networth Factor =</b> ''DEPEND'' ( rpnw ) :
                                      rpnw < 0.567   = 0
                              0.567 < rpnw < 0.9     = 3 * rpnw - 1.7
                              0.9   < rpnw < 1.1     = 1
                              1.1   < rpnw < 1.6     = -2 * rpnw + 3.2
                                      rpnw > 1.6     = 0

===Kingdom Networth Factor===

  <b>Relative Kingdom Networth </b>(rknw) = Target Kingdom Networth / Self Kingdom Networth
  
  <b>Kingdom Networth Factor =</b> ''DEPEND'' ( rknw ) :
                                     rknw < 0.4      = 0.6666
                               0.4 < rknw < 0.9      = rknw * 2/3 + 0.4
                                     rpnw > 0.9      = 1


===Attack Type===
====Traditional March====
Base gains are 12% and Traditional March gains are capped at 20% of your or your opponent's land, whichever is smaller. In war, this 20% cap is revised to 22% if your opponent's explore pool is not empty.

====Plunder====
Base gains are 50% gold, 60% food and 60% runes. Max gains is 1.35x base (67.5% gold, 81% runes/food).

====Raze====
Destroys a portion of the targets land. In war this attack only destroys buildings

====Learn====
Base gains are 9.375% of each category of science.

====Conquest====
Base gains are 6.8% land for a full hit, gains are decreased in proportion to the relative offense sent vs. targets defence.

====Massacre====
Base gains are 9.5% peasants, 8.5% thieves and 5% wizards

==Defending==
 <b>Raw Defense =</b> (Defense Specs * Def Spec Points) + (Elites at Home * Elite's Defense) 
               + (Soldiers * Def Points Sold * [[Mystics#Aggression|Aggression]]) + [[Mystics#Town_Watch|Townwatch]]

 <b>Mod Defense =</b> ''MAX'' ( Raw Defense * Defensive Military Efficiency , Land ) * Monarchy Bonus 


{{Mods}}
| '''Def Spec Points''' || 6 ([[Race#Elves|Elves]]) || 5
|-
| '''Elite Defense''' || ''Variable''
|-
| '''[[Mystics#Aggression|Aggression]]''' || 0 || 1
|-
| '''[[Mystics#Town_Watch|Townwatch]]''' || Peasants / 4 || 0
|-
| '''Monarchy Bonus''' || 1.1 (Hostile/War)|| 1
|}


===Minimum Defense===
* All land is protected by a minimum of 1 defense per acre. That is, if you should send every single elite and general out, and release your defense specialists, an opponent would still need to send 1 offence point per acre to conduct a successful attack against you.







[[Category:Formulas]]