User:Ninnin/Sandbox/1

Calculation

Installations generally have a lot of HP and/or armor. But multiple different cumulative bonuses exist against them, allowing for massive damage when using the right set-ups. These bonuses are divided into 5 groups and are calculated in the following order^[1]:

Ship type bonuses
General multiplicative bonuses
Specific equipment bonuses:
1. 11th regiment bonuses
2. M4A1 bonuses
3. Ho-Ni bonuses
4. Landing craft synergy bonuses
General Flat bonuses
Post-cap bonuses against Supply Depot Princess
Airstrike and Land Base special cases
"Installation-like warships" special cases

The bonuses' exact order is still under investigation and may be subject to changes.

Damage Bonuses Calculations

Pre-cap

Surface Shelling:

[math]\displaystyle{ \text{Atk}_\text{pre-cap} = \Bigg[ \Bigg( \bigg[ \bigg( \Big[ \Big( \big[ \big( [ ( \text{Atk}_\text{base} {\color{tomato} \times \text{A0}} {\color{DeepSkyBlue} + \text{B0}} ) {\color{tomato} \times \text{A1}} {\color{DeepSkyBlue}} ] {\color{tomato} \times \text{A21}} {\color{DeepSkyBlue} + \text{B21}} \big) {\color{tomato} \times \text{A22}} {\color{DeepSkyBlue} + \text{B22}} \big] {\color{tomato} \times \text{A23}} {\color{DeepSkyBlue} + \text{B23}} \Big) {\color{tomato} \times \text{A24}} {\color{DeepSkyBlue} + \text{B24}} \Big] {\color{tomato} \times \text{A25}} {\color{DeepSkyBlue} + \text{B25}} \bigg) {\color{tomato} \times \text{A26}} {\color{DeepSkyBlue} + \text{B26}} \bigg] {\color{tomato} \times \text{A27}} {\color{DeepSkyBlue} + \text{B27}} \Bigg) {\color{tomato} \times \text{A28}} {\color{DeepSkyBlue} + \text{B28} + \text{B1}} \Bigg] \times \text{Mod}_\text{others} }[/math]

Carrier Shelling:

[math]\displaystyle{ \text{Atk}_\text{pre-cap} = \Bigg[ \Bigg( \bigg[ \bigg( \Big[ \Big( \big[ \big( [ ( \text{Atk}_\text{base} {\color{tomato} \times \text{A0} \times \text{A1}} ) {\color{tomato} \times \text{A21}} {\color{DeepSkyBlue} + \text{B21}} ] {\color{tomato} \times \text{A22}} {\color{DeepSkyBlue} + \text{B22}} \big) {\color{tomato} \times \text{A23}} {\color{DeepSkyBlue} + \text{B23}} \big] {\color{tomato} \times \text{A24}} {\color{DeepSkyBlue} + \text{B24}} \Big) {\color{tomato} \times \text{A25}} {\color{DeepSkyBlue} + \text{B25}} \Big] {\color{tomato} \times \text{A26}} {\color{DeepSkyBlue} + \text{B26}} \bigg) {\color{tomato} \times \text{A27}} {\color{DeepSkyBlue} + \text{B27}} \bigg] {\color{tomato} \times \text{A28}} {\color{DeepSkyBlue} + \text{B28} + \text{B1}} +(\text{DB} \times 1.3) + 15 \Bigg) \times 1.5 +25 \Bigg] \times \text{Mod}_\text{others} }[/math]

Cap

[math]\displaystyle{ \text{Atk}_\text{cap} = \text{Cap} + \sqrt{\text{Atk}_\text{pre-cap} - \text{Cap}} }[/math]

Post-Cap

[math]\displaystyle{ \text{Atk}_\text{post-cap} = \text{Atk}_\text{cap} \times \text{Mod}_\text{others} {\color{tomato} \times \text{C}} {\color{tomato} \times \text{C1} \times \text{Mod}_\text{Inst}} \times_\downarrow \text{Crit} }[/math]

With

[math]\displaystyle{ \text{Atk}_\text{base} }[/math] the base attack deffined here,
A & C the Multiplicative bonuses,
B the Flat bonuses,
A & B being pre-cap bonuses,
C being post-cap bonuses.
[math]\displaystyle{ \text{Mod}_\text{others} }[/math] being all other modifiers unrelated to installation (see Damage Calculations for more details)
[math]\displaystyle{ \text{DB} }[/math] being the bombing stat of Anti-installation Dive Bomber only
[math]\displaystyle{ \text{Cap} }[/math] is:
- 220 during day,
- 360 during night.

↑ https://docs.google.com/document/d/1mXGyJ3yeNWeOmuGZQrXkcuGSuSEQYqmKhPelHMkzkGI/edit

Bonuses

Ship Type Bonuses

	Ship Type	Target	Bonuses
A0	DD, CL	Pillboxes	1.4
A0	Akagi, Hiryuu, Souryuu^[1]		1.25
B0	SS, SSV	All installation	30

↑ Kaga has been tested and no bonus has been found against the Harbour Summer Princess.

General Multiplicative Bonuses

These bonuses depend on the enemy targeted, as well as the equipment used.

A1^[1]
Installation Type		Soft-Skinned		Hard-Skinned
						Pillboxes
				Isolated Island Princess		Pillboxes		Harbour Summer Princess
Number Equipped		Single	Multiple	Single	Multiple	Single	Multiple	Single	Multiple
	AA Shells	2.5		1.75				1.75
	AP Shells					1.85		1.3
	WG42 (Wurfgerät 42)	1.3	1.4	1.4	1.5	1.6	1.7	1.4	1.2
	Type 4 Anti-Ground Rockets	1.25	1.5	1.3	1.65	1.5	1.8	1.25	1.4
Other	ASW Mortars	1.2	1.3	1.2	1.4	1.3	1.5	1.1	1.15
	Dive Bombers			1.4	1.75	1.5	2	1.3	1.2
Bomber	Seaplane Bombers/Fighters	1.2				1.5		1.3

Landing Craft Type and Ka-Tsu Type Multiplier		1.4		1.8		1.8		1.7
	Toku Daihatsu Toku DLC + Panzer III ^[2] Toku DLC + Panzer III J	1.15		1.15		1.15		1.2
	DLC + T89 Tank Toku DLC + Ho-Ni Tank Toku DLC + Panzer III ^[2] Toku DLC + Panzer III J	1.5	1.3	1.2	1.4	1.5	1.4	1.6	1.5
	Toku DLC + Chi-Ha ^[3] Toku DLC + Chi-Ha Kai ^[4]		1.3		1.4		1.4		1.5
	DLC + Panzer II	1.5	1.3	1.2	1.4	1.5	1.4	1.6	1.5
	M4A1 DD Toku DLC + Chi-Ha Kai ^[4] Toku DLC + Panzer III J	1.1		1.8		2.0		2.0
	☀ Day Only Armed Daihatsu Soukoutei	1.1	1.1	1.3	1.1	1.3	1.2	1.5	1.1
	☀ Day Only Ka-Tsu Tank Ka-Tsu Tank Kai		1.1		1.1		1.2		1.1
	Ka-Mi Tank	1.5	1.2	2.4	1.35	2.4	1.35	2.8	1.5
	Ka-Tsu Tank Kai ^[5]		1.2		1.35		1.35		1.5
	Landing Forces	Unknown yet

Improvement	Landing Craft & Ka-Tsu Tanks	1 + (Average DLC /50) + (Average Ka-Tsu /50)
	Ka-Mi Tank	1 + (Average /30)
	Landing Forces	Unknown yet

Notes

The Improvement Bonus takes the average for all Landing Craft equipped on the ship.
The Improvement Bonus takes the average for all Special Amphibious Tanks equipped on the ship.

↑ Last time updated: 21/03/2024, source:https://bbs.nga.cn/read.php?tid=33769345&rand=868
↑ ^2.0 ^2.1 https://twitter.com/Divinity_123/status/1695813425660661965
↑ For example: vs Soft-Skin, 1 Chi-Ha = no bonus, 2 Chi-Ha = 1.3 (1.95/1.5), 1 T89 + 1 Chi-Ha = 1.95
↑ ^4.0 ^4.1 https://docs.google.com/document/d/1y8kisQTFuAd57GFAQRpJzPOEk9kpUzoEf1sxmnywx3A/edit#heading=h.hycuzmt5tebu, TsunDB, confirmed except Harbour Summer Princess
↑ In this case the Ka-Tsu Kai count as two, 1 Ka-Tsu Kai = 1.2

Landing Craft Specific Bonuses

The following multipliers are pre-cap.

Equipment

Multiplicative bonuses

Flat Bonuses

Toku DLC Tank Bonus

A21

B21

Toku DLC + 11th Reg
Toku DLC + Ho-Ni Tank
Toku DLC + Panzer III
Toku DLC + Panzer III J

1.8

25

Sherman Bonus

A22

B22

1.4

35

Ho-Ni Tank Regiment Bonus

A23

B23

1.3

42

Chi-Ha (non-Kai) Bonus

A24

B24

1.4

28

Chi-Ha Kai Bonus

A25

B25

1.5

33

Katsu Bonus

A26

B26

1.2

42

Katsu Kai Bonus

A27

B27

1.1

28

Armored Boats Synergy Bonus^[1]

A28

B28

Group 1


Daihatsu Landing Craft Toku Daihatsu Landing Craft Daihatsu Landing Craft (Type 89 Medium Tank & Landing Force) Toku Daihatsu Landing Craft + Type 1 Gun Tank Daihatsu Landing Craft (Panzer II/North African Specification) Special Type 4 Amphibious Tank Special Type 4 Amphibious Tank Kai

Group 2


Toku Daihatsu Landing Craft + 11th Tank Regiment Toku Daihatsu Landing Craft + Panzer III (North African Specification) Toku Daihatsu Landing Craft + Chi-Ha Toku Daihatsu Landing Craft + Chi-Ha Kai Toku Daihatsu Landing Craft + Panzer III Ausf. J Special Type 2 Amphibious Tank

Only one^[2]

1 of Any

1.2

10

Both

1

0

1.3

15

0

1

1.4

20

2 of any

1.5

25

↑ https://twitter.com/oxke_admiral/status/1642326265364615168?cxt=HHwWgMDQxa7C28otAAAA
↑ Due to some bug using 2 Soukoutei or 2 Armed Daihatsu cancel the bonuses

Flat Damage Bonuses

B1
Amount Equipped		1	2	3	4+
	WG42	75	110	140	160
	Type 4 Anti-Ground Rockets	55	115	160	190
	Type 4 Anti-Ground Rockets CD	80	170	230	260
Other	ASW Mortar	30	55	75	90
Other	ASW Mortar CD	60	110	150	180

Post-Cap Bonus

Supply Depot Princess

Supply Depot Princess and its variants are currently the only installations to have post-cap bonuses.

These bonuses are applied after the damage soft-cap, and can reach the damage display cap of 9999.
- If the damage displayed is 9999, the actual damage can be higher.
Supply Depot Princess is a soft-skinned installation for purposes of Pre-Cap Bonuses.

C
Installation Type
Installation Type		Supply Depot Princesses
Number Equipped		Single	Multiple
	WG42	1.25	1.3
	Type 4 Anti-Ground Rockets	1.2	1.4
Other	ASW Mortars	1.15	1.2

Landing Craft Type and Ka-Tsu Type Multiplier		1.7
	Toku Daihatsu Toku DLC + Panzer III ^[1] Toku DLC + Panzer III J	1.2
	DLC + T89 Tank Toku DLC + Ho-Ni Tank Toku DLC + Panzer III ^[1] Toku DLC + Panzer III J	1.3	1.6
	Toku DLC + Chi-Ha Toku DLC + Chi-Ha Kai ^[2]		1.6
	DLC + Panzer II	1.3	1.6
	M4A1 DD Toku DLC + Chi-Ha Kai Toku DLC + Panzer III J	1.2
	Armed Daihatsu Soukoutei	1.5	1.1
	Ka-Tsu Tank Ka-Tsu Tank Kai		1.1
	Ka-Mi Tank	1.7	1.5
	Ka-Tsu Tank Kai ^[3]		1.5
Number Equipped		1	2	3
Landing Forces Type Multiplier		3.15	2.35	1.2
	Type 97 Medium Tank New Turret (Chi-Ha Kai) Army Infantry Corps + Chi-Ha Kai	1.2
	Army Infantry Corps Army Infantry Corps + Chi-Ha Kai	1.55

Improvement
	Landing Craft & Ka-Tsu Tanks	[1 + (Average DLC /50) + (Average Ka-Tsu /50)]^N
	Landing Craft & Ka-Tsu Tanks	N = 1 for any Landing Craft/Ka-Tsu +1 to N for each unique: DLC + T89 Tank OR Toku DLC + Ho-Ni Tank OR Toku DLC + Panzer III ^[1] OR Toku DLC + Panzer III J DLC + Panzer II
	Ka-Mi Tank	1 + (Average /30)
	Landing Forces	Unknown yet

↑ ^1.0 ^1.1 ^1.2 https://twitter.com/Divinity_123/status/1695813425660661965
↑ For example: 1 Chi-Ha = no bonus, 2 Chi-Ha = 1.6 (2.08/1.3), 1 T89 + 1 Chi-Ha = 2.08
↑ In this case the Ka-Tsu Kai count as two, 1 Ka-Tsu Kai = 1.2

Rations Bonuses

The developers have mentioned that Rations

consumed by a girl "affect landing craft's morale"^[1].

C1
Installation Type		All installations^[2]
Number Equipped		Single	Multiple
	Combat Ration	1.13	??
	Combat Ration (Special Onigiri)	??	??
	Canned Saury	??	??

Notes

A Landing Craft might be required to be equipped on the attacking ship for this bonus to be applied.
As it is the only post-cap bonus common to all installations, it has a great potential.
Due to the limited nature of Rations, this bonus is mostly "Pay To Win", and so is not recommended.

Airstrike And Land-Base Bonus

For the damage formula, please refer to the LBAS and airstrike page. The multiplier is chosen randomly between two values. The chance is roughly 50%.

There are exceptions:

For Torpedo Bomber:
- The torpedo stat is counted as 0 in airstrike,
- The behavior is unclear for LBAS (the damage are overestimated).

For Jets
:
- There are inconsistencies with the bonuses.

For the Land-Based Heavy Bombers
:
- Could have a higher modifier than other planes.

[math]\displaystyle{ {\color{tomato}\text{Mod}_\text{Inst}} }[/math][2]
Installation (ID)	Airstrike		LBAS
Installation (ID)	Low mod	High mod	Low mod	High mod
Isolated Island Princess (1671-1672)			2
Artillery Imp (1665-1667)	1.3?	1.7	1.6	2.5
"Old" Supply Depot Princesses (1653-1658)	1.5	2.4	1.7	3.6?
"New" Supply Depot Princesses (B, C, D, ...) (ID>1658)	1.5	2.4
Harbour Summer Princess B (2023)	?	?	?	?

Installation-Like Warships

This section is for special ships with installation-like behaviors, taking additional damage from anti-installation equipment.

Those bonuses are post-cap only, meaning none of the "anti-installation bonuses" previously mentioned are applied.
Be aware that the sample is limited (event only) so the information may be inaccurate and/or old^[1].

Installation-like warships
C
Installation Type						Mod C Mod C
Installation Type		Anchorage Water Demon Vacation Mode		Dock Princess		Supply Depot Princess C Vacation Mode
Number Equipped		Single	Multiple	Single	Multiple	Single	Multiple
Ships	Nagato-class Yamato-class	1.2
	AA Shells	1.45		1.3
	WG42 (Wurfgerät 42)	1.2	1.3	1.1	1.2	1.25	1.3
	Type 4 Anti-Ground Rockets	1.15	1.4	?		1.2	1.4
Other	ASW Mortars	1.1	?	?		1.15	1.2
	Dive Bombers	1.4	1.75	1.1	1.1
	Jets	1.75	1.75	1.1	1.1
Bomber	Seaplane Bombers/Fighters			1.1

Landing Craft Type Multiplier		1.4		1.1		1.7
	Toku Daihatsu	1.15				1.2
	DLC + T89 Tank Toku DLC + Ho-Ni Tank	1.2	1.4	1.15	1.15	1.3	1.6
	DLC + Panzer II	1.2	1.4	1.15	1.15	1.3	1.6
	M4A1 DD	1.8		1.1		1.2
	Armed Daihatsu Soukoutei	1.2		1.1		1.5	1.1
	Toku DLC + 11th Reg Toku DLC + Ho-Ni Tank Toku DLC + Panzer III			1.4
	Ka-Mi Tank	2.4	1.35	1.2	1.2	1.7	1.5
Number Equipped						1	2	3
Landing Forces Type Multiplier		Unknown	3.15	2.35	1.2
	Type 97 Medium Tank New Turret (Chi-Ha Kai) Army Infantry Corps + Chi-Ha Kai		1.2
	Army Infantry Corps Army Infantry Corps + Chi-Ha Kai		1.55

Improvement	Landing Craft & Ka-Tsu Tanks	1 + (Average DLC /50) + (Average Ka-Tsu /50)				[1 + (Average DLC /50) + (Average Ka-Tsu /50)]^N
	Landing Craft & Ka-Tsu Tanks	1 + (Average DLC /50) + (Average Ka-Tsu /50)				N = 1 for any Landing Craft +1 to N for each unique: DLC + T89 Tank OR Toku DLC + Ho-Ni Tank OR Toku DLC + Panzer III OR Toku DLC + Panzer III J DLC + Panzer II
	Ka-Mi Tank	1 + (Average /30)
	Landing Forces	Unknown

↑ Updated the 08/09/2022 during the Summer 2022 Event [1].

The missing bonuses from new equipment can be extrapolated from the other installation bonuses.

[1] ttps://docs.google.com/document/d/1mXGyJ3yeNWeOmuGZQrXkcuGSuSEQYqmKhPelHMkzkGI/edit

[2] Kaga has been tested and no bonus has been found against the Harbour Summer Princess.

[3] Last time updated: 21/03/2024, source:https://bbs.nga.cn/read.php?tid=33769345&rand=868

[PanzerIII-4] 2.0 ^2.1 https://twitter.com/Divinity_123/status/1695813425660661965

[5] For example: vs Soft-Skin, 1 Chi-Ha = no bonus, 2 Chi-Ha = 1.3 (1.95/1.5), 1 T89 + 1 Chi-Ha = 1.95

[chiha-6] 4.0 ^4.1 https://docs.google.com/document/d/1y8kisQTFuAd57GFAQRpJzPOEk9kpUzoEf1sxmnywx3A/edit#heading=h.hycuzmt5tebu, TsunDB, confirmed except Harbour Summer Princess

[7] In this case the Ka-Tsu Kai count as two, 1 Ka-Tsu Kai = 1.2

[8] ttps://twitter.com/oxke_admiral/status/1642326265364615168?cxt=HHwWgMDQxa7C28otAAAA

[9] Due to some bug using 2 Soukoutei or 2 Armed Daihatsu cancel the bonuses

[PanzerIII-10] 1.0 ^1.1 ^1.2 https://twitter.com/Divinity_123/status/1695813425660661965

[11] For example: 1 Chi-Ha = no bonus, 2 Chi-Ha = 1.6 (2.08/1.3), 1 T89 + 1 Chi-Ha = 2.08

[12] In this case the Ka-Tsu Kai count as two, 1 Ka-Tsu Kai = 1.2

[13] ttps://twitter.com/KanColle_STAFF/status/715840109103484928

[14] ttps://twitter.com/hedgehog_hasira/status/1566086797343412224

[15] Updated the 08/09/2022 during the Summer 2022 Event [1].

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