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=Stage 1 - Battle for Air Superiority=
 
=Stage 1 - Battle for Air Superiority=
 +
[[File:Air_Superiority_Aquired.png|thumb|right|Green text at the bottom of the screen indicating an Air Supremacy result.]]
    
Planes that participate in this phase:
 
Planes that participate in this phase:
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* {{Seaplane}} Seaplane Bombers
 
* {{Seaplane}} Seaplane Bombers
   −
[[File:Air_Superiority_Aquired.png|thumb|right|Green text at the bottom of the screen indicating an Air Supremacy result.]]
+
Following a possible Jet Phase, the fight for Air Supremacy will begin. The main objective of this phase is to define the '''Air State''' imposed on each fleet, by comparing each fleet's Air Power, more commonly referred to as '''Fighter Power (FP)'''.
Following a possible Jet Phase, the fight for Air Supremacy will begin. The main objective of this phase is defining the '''Air State''' imposed on each fleet, by comparing each fleet's Air Power, more commonly referred to as '''Fighter Power (FP)'''.
      
Fighter Power is defined by each plane equipped in the fleet that participates in this phase.
 
Fighter Power is defined by each plane equipped in the fleet that participates in this phase.
   −
<math>\text{Fighter Power} = \sum^{\text{All planes}} \left(\text{AA}_\text{plane} \times \sqrt{\text{Slot Size}_\text{plane}} \right) + \text{Proficiency}</math>
+
{| class="wikitable mw-collapsible mw-collapsed" style="width: 100%"
 +
!Fighter Power
 +
|-
 +
|
 +
<math>\text{Fighter Power} = \sum^{\text{All planes}} \left[ \left(\text{AA} \times \sqrt{\text{Plane}_\text{Count}} \right) + \text{Mod}_\text{proficiency} \right]</math>
    
Where:
 
Where:
* <math>\text{AA}_\text{plane}</math> is the {{AA}} stat of the plane.
+
* <math>\text{AA}</math> is the {{AA}} stat of the plane.
* <math>\text{Slot Size}_\text{plane}</math> is the number of planes in the slot prior to Stage 1's start.
+
* <math>\text{Plane}_\text{Count}</math> is the number of planes in the slot prior to Stage 1's start.
* <math>\text{Proficiency}</math> is the bonus granted by '''Aircraft Proficiency'''.
+
* <math>\text{Mod}_\text{proficiency}</math> is the fighter-power proficiency bonus. For maxed proficiency {{TextGlow|'''❱❱'''|black|text-colour=gold|glow-size=2px}} planes it is:
** The value is <math>25</math> for <span style="color:orange">'''>>''' </span> ranked fighters, see ''[[Plane Proficiency]]'' for more details
+
** '''25.464''' for {{GreenPlane}}carrier-based [[Fighter]]s and {{SeaplaneFighter}}[[SPF|seaplane fighters]],
 +
** '''9.464''' for {{Seaplane}}[[SPB|seaplane bombers]],
 +
** '''3.464''' for all other planes.
 +
** See ''[[Plane Proficiency]]'' for more details.
 +
|}
    
After Fighter Power is calculated for each fleet ('''FP''' and '''EFP''' for allied and enemy fleets, respectively), the values are compared, and Air State is determined, based on the following:
 
After Fighter Power is calculated for each fleet ('''FP''' and '''EFP''' for allied and enemy fleets, respectively), the values are compared, and Air State is determined, based on the following:
   −
{| class="wikitable" style="margin: auto;"
+
{| class="wikitable" style="text-align: center; margin: auto;"  
 
|-
 
|-
!style="text-align: center; border-style: solid; border-width: 1px; width:108px;"|Air State
+
!style="width:130px;"|Air State
!style="text-align: center; border-style: solid; border-width: 1px; width:54px;"|Fighter Power Range
+
!style="width:54px;"|Fighter Power Range
!style="text-align: center; border-style: solid; border-width: 1px; width:88px;"|Allied Planes Shot Down
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!style="width:100px;"|Allied Planes Shot Down
!style="text-align: center; border-style: solid; border-width: 1px; width:70px;"|Enemy Planes Shot Down
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!style="width:80px;"|Enemy Planes Shot Down
!style="text-align: center; border-style: solid; border-width: 1px; width:64px;"|Airstrike Contact
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!style="width:64px;"|Airstrike Contact
!style="text-align: center; border-style: solid; border-width: 1px; width:64px;"|Artillery Spotting
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!style="width:64px;"|Artillery Spotting
!style="text-align: center; border-style: solid; border-width: 1px; width:32px;"|Night Contact
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!style="width:120px;"|Night Contact
 
|-
 
|-
|style="text-align: center; border-style: solid; border-width: 1px; color:green;"| '''Air Supremacy (AS+)'''<br>制空権確保!
+
|style="color:green;"| '''Air Supremacy (AS+)'''<br>制空権確保!
|style="text-align: center; border-style: solid; border-width: 1px;"| <math>\text{FP} \ge 3\text{EFP}</math>
+
| <math>\text{FP} \ge 3\text{EFP}</math>
|style="text-align: center; border-style: solid; border-width: 1px;"| 3/120 - 7/120
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| 3/120 - 7/120
|style="text-align: center; border-style: solid; border-width: 1px;"| 0% - 100%
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| 0% - 100%
|style="text-align: center; border-style: solid; border-width: 1px;"| Allied Only
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| Allied Only
|style="text-align: center; border-style: solid; border-width: 1px;"| Allied Only
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| Allied Only
|style="text-align: center; border-style: solid; border-width: 1px;"| Allied Only
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| Allied Only
 
|-
 
|-
|style="text-align: center; border-style: solid; border-width: 1px; color:green;"| '''Air Superiority (AS)'''<br>航空優勢!
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|style="color:green;"| '''Air Superiority (AS)'''<br>航空優勢!
|style="text-align: center; border-style: solid; border-width: 1px;"| <math>3\text{EFP} > \text{FP} \ge 1.5\text{EFP}</math>
+
| <math>3\text{EFP} > \text{FP} \ge 1.5\text{EFP}</math>
|style="text-align: center; border-style: solid; border-width: 1px;"| 9/120 - 21/120
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| 9/120 - 21/120
|style="text-align: center; border-style: solid; border-width: 1px;"| 0% - 80%
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| 0% - 80%
|style="text-align: center; border-style: solid; border-width: 1px;"| Allied and Enemy
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| Allied & Enemy
|style="text-align: center; border-style: solid; border-width: 1px;"| Allied Only
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| Allied Only
|style="text-align: center; border-style: solid; border-width: 1px;"| Allied and Enemy
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| Allied & Enemy
 
|-
 
|-
|style="text-align: center; border-style: solid; border-width: 1px;"| '''Air Parity (AP)'''<br>''No text''
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| '''Air Parity (AP)'''<br>''No text''
|style="text-align: center; border-style: solid; border-width: 1px;"| <math>1.5\text{EFP} > \text{FP} > \frac{2}{3}\text{EFP}</math>
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| <math>1.5\text{EFP} > \text{FP} > \frac{2}{3}\text{EFP}</math>
|style="text-align: center; border-style: solid; border-width: 1px;"| 15/120 - 35/120
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| 15/120 - 35/120
|style="text-align: center; border-style: solid; border-width: 1px;"| 0% - 60%
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| 0% - 60%
|style="text-align: center; border-style: solid; border-width: 1px;"| Neither
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| Neither
|style="text-align: center; border-style: solid; border-width: 1px;"| Neither
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| Neither
|style="text-align: center; border-style: solid; border-width: 1px;"| Neither (Sorties)
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| Neither (Sorties)
Allied and Enemy (PvP)
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Allied & Enemy (PvP)
 
|-
 
|-
|style="text-align: center; border-style: solid; border-width: 1px;"| '''Air Denial (AD)'''<br>''No text''
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| '''Air Denial (AD)'''<br>''No text''
|style="text-align: center; border-style: solid; border-width: 1px;"| <math>\frac{2}{3}\text{EFP} \ge \text{FP} > \frac{1}{3}\text{EFP}</math>
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| <math>\frac{2}{3}\text{EFP} \ge \text{FP} > \frac{1}{3}\text{EFP}</math>
|style="text-align: center; border-style: solid; border-width: 1px;"| 21/120 - 49/120
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| 21/120 - 49/120
|style="text-align: center; border-style: solid; border-width: 1px;"| 0% - 40%
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| 0% - 40%
|style="text-align: center; border-style: solid; border-width: 1px;"| Allied and Enemy
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| Allied & Enemy
|style="text-align: center; border-style: solid; border-width: 1px;"| Enemy Only
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| Enemy Only
|style="text-align: center; border-style: solid; border-width: 1px;"| Allied and Enemy
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| Allied & Enemy
 
|-
 
|-
|style="text-align: center; border-style: solid; border-width: 1px; color:red;"| '''Air Incapability (AI)'''<br>制空権喪失!  
+
|style="color:red;"| '''Air Incapability (AI)'''<br>制空権喪失!  
|style="text-align: center; border-style: solid; border-width: 1px;"| <math>\frac{1}{3}\text{EFP} \ge \text{FP}</math>
+
| <math>\frac{1}{3}\text{EFP} \ge \text{FP}</math>
|style="text-align: center; border-style: solid; border-width: 1px;"| 30/120 - 70/120
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| 30/120 - 70/120
|style="text-align: center; border-style: solid; border-width: 1px;"| 0% - 10%
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| 0% - 10%
|style="text-align: center; border-style: solid; border-width: 1px;"| Enemy Only
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| Enemy Only
|style="text-align: center; border-style: solid; border-width: 1px;"| Enemy Only
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| Enemy Only
|style="text-align: center; border-style: solid; border-width: 1px;"| Enemy Only  
+
| Enemy Only  
 
|-
 
|-
 
|}
 
|}
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<math>\text{Plane Loss} = \left \lfloor
 
<math>\text{Plane Loss} = \left \lfloor
   −
   \text{Slot Size} \times
+
   \text{Plane}_\text{Count} \times
 
   \left[
 
   \left[
 
       \text{random}
 
       \text{random}
 
       \left(  
 
       \left(  
         0, \frac{\text{Airstate}_\text{mod}}{3}
+
         0, \frac{\text{Airstate}_\text{Mod}}{3}
       \right) + \frac{\text{Airstate}_\text{mod}}{4}
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       \right) + \frac{\text{Airstate}_\text{Mod}}{4}
   \right] \times 0.1 \times \text{Jet}_\text{mod}
+
   \right] \times 0.1 \times \text{Jet}_\text{Mod}
    
\right \rfloor</math>
 
\right \rfloor</math>
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For each slot of the '''Enemy Fleet:'''
 
For each slot of the '''Enemy Fleet:'''
   −
<math>\text{Plane Loss} =  \left \lfloor \text{Slot Size} * \left ( 0.035 \times  \text{random} \left [ 0 ,  A \right ]  +  0.065 \times  \text{random} \left [ 0 ,  A \right ] \right ) \right \rfloor</math>
+
<math>\text{Plane Loss} =  \left \lfloor \text{Plane}_\text{Count} * \left ( 0.035 \times  \text{random} \left [ 0 ,  A \right ]  +  0.065 \times  \text{random} \left [ 0 ,  A \right ] \right ) \right \rfloor</math>
    
Where:
 
Where:
* <math>\text{Slot Size}</math> is the plane's slot size.
+
* <math>\text{Plane}_\text{Count}</math> is the plane's count in the slot.
* <math>\text{Airstate Mod}</math> is the Air State modifier for each side, with:
+
* <math>\text{Airstate}_\text{Mod}</math> is the Air State modifier for each side, with:
** <math>\text{Airstate Mod} = \begin{cases} 1, & \text{ for Air Supremacy} \\ 3, & \text{ for Air Superiority } \\ 5, & \text{ for Air Parity } \\ 7, & \text{ for Air Denial } \\ 10, & \text{ for Air Incapability } \end{cases}</math>
+
** <math>\text{Airstate}_\text{Mod} = \begin{cases} 1, & \text{ for Air Supremacy} \\ 3, & \text{ for Air Superiority } \\ 5, & \text{ for Air Parity } \\ 7, & \text{ for Air Denial } \\ 10, & \text{ for Air Incapability } \end{cases}</math>
* <math>\text{Jet}_\text{mod}</math> is the Jet-type aircraft modifier. Assumes 0.6 if the plane is a Jet, otherwise assumes 1.
+
* <math>\text{Jet}_\text{Mod}</math> is the Jet-type aircraft modifier. Assumes 0.6 if the plane is a Jet, otherwise assumes 1.
 
* The random function takes a random integer within the range in a linear distribution.
 
* The random function takes a random integer within the range in a linear distribution.
 
|}
 
|}
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