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mLine 1:
Line 1: − + − + − + − <math>+ − + − + − S_l^{\star} &= C_l^{\star} \cdot \sqrt{\bigstar_l}+ − + − − '''With:''' − *<math>L_s</math> the ship's base LoS {{LOS}}. − + − + − + − + + − + − + − + + + + − + − + − + − + − + Line 55:
Line 56: − + Line 61:
Line 62: − + − + − + − + − + − + − + − + Line 83:
Line 84: − + − + + + + + + + + + Line 98:
Line 107: − + − + − + − − − − − + − − + − − + − − + − − + − − + − + + + + + + + + + + + + + + + − + − + − + − − + − + − + − + − + − − + − + − + − − + − − + − − + − − + − − + Line 182:
Line 189: − + − − + − + − + − − − − − + − + − + − − + − +
→Formula 33
This page is for Effective Line of Sight (ELoS) as it pertains to branching requirements. Certain maps require your fleet to hit a certain LoS threshold in order to get routed to the boss or pre-boss. As a rule '''LoS from equipment is more important than ship LoS''' when determining ELoS.
This page is for "Effective Line of Sight" (ELoS), also called "Fleet LoS", as it pertains to branching requirements. Certain maps require the fleet to hit a certain LoS threshold in order to get routed to the boss or pre-boss. As a rule '''LoS from equipment is more important than ship LoS''' when determining ELoS.
For a details on the LoS {{LOS}} stat, please see [[Stats#Line of Sight|Stats]].
For details on the LoS {{LOS}} stat, please see [[Stats#Line of Sight|Stats]].
=Calculating LoS=
=Calculating LoS=
===Formula 33===
===Formula 33===
Formula 33, sometimes referred to as F33 is the most accurate "Fleet LoS" calculation formula known. It is described as follows<ref>http://ja.kancolle.wikia.com/wiki/%E3%83%9E%E3%83%83%E3%83%97%E7%B4%A2%E6%95%B5</ref>:
Formula 33, sometimes referred to as F33 is the most accurate "Fleet LoS" calculation formula known. It is described as follows<ref>http://ja.kancolle.wikia.com/wiki/%E3%83%9E%E3%83%83%E3%83%97%E7%B4%A2%E6%95%B5</ref>:
{{Formula
|Title=LoS Formula 33
\begin{align}
|Math=\begin{align}
\phi &= \sum_{s \in \text{Ships}} \sqrt{L_s} + C_{n} \sum_{l \in \text{Slots}}C_{l} ( S_{l} + S_l^{\star} ) - \lceil Q \times H \rceil + 2M \\
\text{Fleet}_\text{LoS} &= \sum_{s \in \text{Ships} } \sqrt{Ship_\text{LoS} } + C_{n} \sum_{e \in \text{Equipment} }C_{e} ( S_{e} + S_e^{\star} ) - \lceil Q \times HQ_\text{Lv} \rceil + 2M \\
S_e^{\star} &= C_e^{\star} \cdot \sqrt{\bigstar_e}
\end{align}
\end{align}
</math>
|Var=<math>Ship_\text{LoS}</math> the ship's base LoS {{LOS}}.
**Total LoS {{LOS}} of [[Equipment Bonuses|visible fit bonuses]] should be added to this part, unlike equipment improvement bonuses.
**Total LoS {{LOS}} of [[Equipment Bonuses|visible fit bonuses]] should be added to this part, unlike equipment improvement bonuses.
*<math>C_{n}</math> the Node factor, it represents the weighting of the formula that is '''known to vary''' across different maps and nodes. See [[Line_of_Sight#Equipment LoS weighting modifier|following section]] for more details.
*<math>C_{n}</math> the Node factor, it represents the weighting of the formula that is '''known to vary''' across different maps and nodes. See [[Line_of_Sight#Equipment LoS weighting modifier|following section]] for more details.
*<math>C_{l}</math> the equipment multiplier (see bellow),
*<math>C_{e}</math> the equipment multiplier (see bellow),
*<math>S_{l}</math> the displayed LoS value of the equipment, excluding visible fit bonus,
*<math>S_{e}</math> the displayed LoS value of the equipment, excluding visible fit bonus,
*<math>S_l^{\star}</math> the equipment's [[Improvement]] {{Star}} bonus to eLoS (see <math>C_l^{\star}</math> bellow),
*<math>S_e^{\star}</math> the equipment's [[Improvement]] {{Star}} bonus to equipment LoS (see <math>C_l^{\star}</math> bellow),
*<math>C_e^{\star}</math> is the improvement modifier of the equipment, ''see table bellow.
*<math>\bigstar_e</math> is the improvement level {{star}} of the equipment.
*<math>Q</math> the HQ level modifier, varying depending on the map:
*<math>Q</math> the HQ level modifier, varying depending on the map:
** '''0.35''' i [[5-2]] and [[6-3]].
** '''0.35''' on [[5-2]] and [[6-3]].
** '''0.4''' otherwise.
** '''0.4''' otherwise.
*<math>H</math> the HQ level.
*<math>HQ_\text{Lv}</math> the HQ level.
*<math>M</math> the number of empty ship slots in the fleet:
*<math>M</math> the number of empty ship slots in the fleet:
**'''0''' for 6 ships fleet,
**'''0''' for 6 ships fleet,
**'''+1''' increase per missing ship,
**'''+1''' increase per missing ship,
***This value can increase mid-sortie if a ship is ''sunk'' or ''retreated''.
***This value can increase mid-sortie if a ship is ''sunk'' or ''[[Evacuation|evacuated]]''.
**'''-1''' for a full [[Striking Force Fleet]] (7 ships).
**'''-1''' for a full [[Striking Force Fleet]] (7 ships).
|Notes=Equipment LoS weight more than ship LoS.
}}
===Equipment Types===
{|class="wikitable" style="text-align:center"
{|class="wikitable" style="text-align:center"
!colspan=2|Equipment type
!colspan=2|Equipment type
!width=50px|<math>C_{l}</math>
!width=50px|<math>C_{e}</math>
!width=50px|<math>C_l^{\star}</math>
!width=50px|<math>C_e^{\star}</math>
|-
|-
!{{:User:Chocolatecravinghobo/Sandbox/10/Icon|{{Seaplane}}|recon}}!![[SPR|Seaplane Recons]]
!{{SPR}}!![[SPR|Seaplane Recons]]
|1.2
|1.2
|1.2
|1.2
|-
|-
!{{:User:Chocolatecravinghobo/Sandbox/10/Icon|{{Seaplane}}|bomber}}!![[SPB|Seaplane Bombers]]
!{{SPB}}!![[SPB|Seaplane Bombers]]
|1.1
|1.1
|1.1
|1.1
|-
|-
!{{YellowPlane}}!![[:Category:Recon Aircraft|Carrier Recons]]
!{{YellowPlane}}!![[Carrier Recon]]s
|1
|1
|1.2
|1.2
|-
|-
!{{GreenPlane}}!![[Fighter]]
!{{GreenPlane}}!![[Fighter]]
|rowspan=12|0.6
|rowspan=17|0.6
|-
|-
!{{RedPlane}}!![[Dive Bomber]]s
!{{RedPlane}}!![[Dive Bomber]]s
!{{SeaplaneFighter}}!![[SPF|Seaplane Fighters]]
!{{SeaplaneFighter}}!![[SPF|Seaplane Fighters]]
|-
|-
!{{ASWPlane}}!![[:Category:Liaison Aircrafts|Liaison Aircrafts]]
!{{ASWPlane}}!![[Liaison Aircraft]]
|-
|-
!{{LargeFlyingBoat}}!![[:Category:Flying Boat|Large Flying Boats]]
!{{LargeFlyingBoat}}!![[LFB|Large Flying Boats]]
|1.2
|1.2
|-
|-
!{{:User:Chocolatecravinghobo/Sandbox/10/Icon|{{Radar}}|Small}}!![[:Category:Small Radar|Small Radars]]
!{{Small Radar}}!![[Small Radar]]s
|1.25
|1.25
|-
|-
!{{:User:Chocolatecravinghobo/Sandbox/10/Icon|{{Radar}}|Large}}!![[:Category:Large Radar|Large Radars]]
!{{Large Radar}}!![[Large Radar]]s
|1.4
|1.4
|-
|-
!{{Sonar}}!![[:Category:Sonar|Sonars]]
!{{Sonar}}!![[Sonar]]s
|rowspan=6|0
|rowspan=10|0
|-
|-
!{{Searchlight}}!![[:Category:Searchlight|Searchlights]]
!{{Searchlight}}!![[:Category:Searchlights|Searchlights]]
|-
|-
!{{SurfaceShipPersonnel}}!![[:Category:Lookout|Skilled Lookouts]]
!{{SurfaceShipPersonnel}}!![[:Category:Surface Ship Personnel|Skilled Lookouts]]
|-
|-
!{{Aviation Personnel}}!![[:Category:Aviation Personnel|Aviation Personnel]]
!{{Aviation Personnel}}!![[:Category:Aviation Personnel|Aviation Personnel]]
!{{CommandFacility}}!![[:Category:Command Facilities|Command Facilities]]
!{{CommandFacility}}!![[:Category:Command Facilities|Command Facilities]]
|-
|-
!colspan=2|Other equipment types
!{{SubmarineRadar}}!![[:Category:Submarine Equipment|Submarine Equipment]]
|0
|-
!{{Landing Craft}}!![[Landing Craft]]
|-
!{{Minisub}}!![[Midget Submarine]]s
|-
!{{RedGunLight}}!![[Small Caliber Main Gun]]s
|}
|}
Other equipment types are speculated to be:<ref>Default based on Vita datamine</ref>
*<math>C_{e}=0.6</math>
*<math>C_e^{\star}=0</math>
===Equipment LoS weighting modifier===
===Equipment LoS weighting modifier===
{|class="wikitable" style="text-align: center"
{|class="wikitable" style="text-align: center"
!Map!!C<sub>n</sub>!!Origin Node!!Lower Threshold!!Upper Threshold!!Destination Node!!Notes
!Map!!C<sub>n</sub>!!Origin Node!!Lower Threshold!!Upper Threshold!!Destination Node!!Fail Destination!!Notes
|-
|-
![[1-6]]
![[1-6]]
| 3
| 3|| M|| 29.7|| 159.6|| J||L
| M
|Not meeting composition requirements also routes to L.
| 29.7
| 159.6
| J
| Failing LoS or not meeting composition requirements routes to L.
|-
|-
!rowspan=3| [[2-5]]
!rowspan=3| [[2-5]]
|rowspan=3| 1
|rowspan=3| 1
| G|| 37.3|| 87.8|| L
| G|| 37.3|| 87.8|| L||K
| Failing LoS routes to K.
|-
|-
| I|| 31.2|| 59.4|| O
| I|| 31.2|| 59.4|| O|| H
| Failing LoS routes to H.
|-
|-
| J|| 42.4|| 91.2|| O
| J|| 42.4|| 91.2|| O|| H
| Failing LoS routes to H.
|-
|-
!rowspan=2| [[3-5]]
!rowspan=2| [[3-5]]
|rowspan=2| 4
|rowspan=2| 4
| G|| 24|| 337|| K
| G|| 24|| 337|| K|| I
| Failing LoS routes to I.
|-
|-
| H|| 39.1|| 321.4|| K
| H|| 39.1|| 321.4|| K|| J
| Failing LoS routes to J.
|-
|-
!rowspan=2| [[7-2]]
!rowspan=2| [[7-2]]
| ??|| E|| -32.1|| 136.5|| G
| ??|| E|| -32.1|| 136.5|| G||F
| Failing LoS routes to F. Appears to be fixed routing based on composition but still plays the LoS routing animation.
| Appears to be fixed routing based on composition but still plays the LoS routing animation.
|-
| 4|| I|| 66.1|| 294.5|| M|| L
|-
!rowspan=3| [[7-4]]
| ??|| G|| ??|| ??|| L||F
|-
| ??|| E|| ??|| ??|| K/P||L
|Not meeting composition requirements also routes to L.
|-
| 4|| M|| 50?|| ??|| O||N
|Not meeting composition requirements also routes to N or P.
|-
!rowspan=2| [[7-5]]
|rowspan=2|4 || O|| 57|| ??|| M||L
|-
|-
| 4|| I|| 66.1|| 294.5|| M
| P|| 58|| ??|| T/R||S
| Failing LoS routes to L.
|Composition determines the T/R route.
|-
|-
!rowspan=3| [[4-5]]
!rowspan=3| [[4-5]]
|rowspan=2| 2
|rowspan=2| 2
| K|| 64.8|| 146.5|| T
| K|| 64.8|| 146.5|| T|| L
| Failing LoS routes to L.
|-
|-
| Q|| 62|| 167|| N/O
| Q|| 62|| 167|| N/O|| P
| Failing LoS routes to P. '''Low number of reports.'''
| '''Low number of reports.'''
|-
|-
| ??|| O|| 62|| 167|| T
| ??|| O|| 62|| 167|| T|| N
| Failing LoS routes to N. Appears to be fixed routing based on composition but still plays the LoS routing animation.
| Appears to be fixed routing based on composition but still plays the LoS routing animation.
|-
|-
!rowspan=2| [[5-2]]
!rowspan=2| [[5-2]]
|rowspan=2| 2
|rowspan=2| 2
| F|| 64|| 147|| O
| F|| 64|| 147|| O|| H
| Failing LoS routes to H.
|-
|-
| L|| 73.8|| 81|| K
| L|| 73.8|| 81|| K|| N
| Failing LoS routes to N. '''Low number of reports.'''
| '''Low number of reports.'''
|-
|-
!rowspan=2| [[5-4]]
!rowspan=2| [[5-4]]
|rowspan=2| 2
|rowspan=2| 2
| L|| 57|| 185|| P
| L|| 57|| 185|| P|| N
| Failing LoS routes to N.
|-
|-
| M|| 42.3|| 150.1|| P
| M|| 42.3|| 150.1|| P|| O
| Failing LoS routes to O.
|-
|-
!rowspan=2| [[5-5]]
!rowspan=2| [[5-5]]
|rowspan=2| 2
|rowspan=2| 2
| O|| 63.8|| 134.5|| S
| O|| 63.8|| 134.5|| S|| R
| Failing LoS routes to R.
|-
|-
| P|| 74.4|| 167.7|| S
| P|| 74.4|| 167.7|| S|| Q
| Failing LoS routes to Q.
|-
|-
!rowspan=3| [[6-1]]
!rowspan=3| [[6-1]]
|rowspan=3| 4
|rowspan=3| 4
| G|| 16.7|| 218.1|| H
| G|| 16.7|| 218.1|| H|| I
| Failing LoS routes to I.
|-
|-
| H<br>(With [[AS]])|| 25.4|| 201.4
| H<br>(With [[AS]])|| 25.4|| 201.4
|rowspan=2| K
|rowspan=2| K
|rowspan=2| Failing LoS routes to E.
|rowspan=2| E
|-
|-
| H<br>(Without [[AS]])|| 23.3|| 218.1
| H<br>(Without [[AS]])|| 23.3|| 218.1
!rowspan=3| [[6-2]]
!rowspan=3| [[6-2]]
|rowspan=3| 3
|rowspan=3| 3
| E|| 46|| 179.8|| J
| E|| 46|| 179.8|| J|| I
| Failing LoS routes to I.
|-
|-
| H|| 42.8|| 42.8|| K
| H|| 42.8|| 42.8|| K|| G
| Failing LoS routes to G. '''Low number of reports.'''
| '''Low number of reports.'''
|-
|-
| I|
| I|| 35.7|| 205.8|| K|| G
| 35.7|
| 205.8|
| K
| Failing LoS routes to G.
|-
|-
![[6-3]]
![[6-3]]
| 3|| E|| 19.4|| 180|| G
| 3|| E|| 19.4|| 180|| G|| F
| Failing LoS routes to F. Routing is heavily influenced by composition as well.
| Routing is heavily influenced by composition as well.
|-
|-
!rowspan=2| [[6-5]]
!rowspan=2| [[6-5]]
| 3|| G|| 56.3|| 196.2|| M
| 3|| G|| 56.3|| 196.2|| M|| K
| Failing LoS routes to K.
|-
|-
| ??|| J|| 37.2|| 193|| M
| ??|| J|| 37.2|| 193|| M|| L
| Failing LoS routes to L. Appears to be fixed routing based on composition but still plays the LoS routing animation.
| Appears to be fixed routing based on composition but still plays the LoS routing animation.
|}
|}