User:Jigaraphale/Sandbox/10

1

Trigger Rate Formula 1 [1]
[math]\displaystyle{ \text{P}_\text{0} = 3.2 - 0.2 \times \text{K} - \text{N}_\text{Generator} }[/math] If [math]\displaystyle{ \text{Luck}_\text{flag} ≥ 1 \text{ & } \text{N}_\text{Generator} ≥ 3 }[/math], then [math]\displaystyle{ \text{P}_\text{0} = 0 }[/math] [math]\displaystyle{ \text{K} = \bigg\lceil \sqrt{ \text{Luck}_\text{flag} } + 0.3 \times \bigstar_\text{base} + 0.5 \times \bigstar_\text{Kai} \bigg\rceil }[/math]
[math]\displaystyle{ \text{N}_\text{Generator} = 1 }[/math]	[math]\displaystyle{ \text{N}_\text{Generator} = 2 }[/math]	[math]\displaystyle{ \text{N}_\text{Generator} ≥ 3 }[/math]
[math]\displaystyle{ \begin{align} \text{P}_\text{1} &= 1 - \text{P}_\text{0} \\ \text{P}_\text{2} &= 0 \\ \text{P}_\text{3} &= 0 \end{align} }[/math]	[math]\displaystyle{ \begin{align} \text{P}_\text{1} &= 1 - \text{P}_\text{0} - \text{P}_\text{2} \\ \text{P}_\text{2} &= 0.05 \times ( 1 - \text{P}_\text{0} ) \times ( \text{K} + 2 ) \\ \text{P}_\text{3} &= 0 \end{align} }[/math]	[math]\displaystyle{ \begin{align} \text{P}_\text{1} &= 1 - \text{P}_\text{2} - \text{P}_\text{3} \\ \text{P}_\text{2} &= \min ( 0.3 ; 1 - \text{P}_\text{3}) \\ \text{P}_\text{3} &= X \times \text{K} + 0.15 \times ( \text{N}_\text{Generator} - 3 ) \end{align} }[/math] The X coefficient is unclear yet, being about 0.04~0.045.
With [math]\displaystyle{ \text{P}_\text{0}, \text{P}_\text{1}, \text{P}_\text{2}, \text{P}_\text{3} }[/math] the respective rates for the trigger of smokes levels 0 to 3, [math]\displaystyle{ \text{N}_\text{Generator} }[/math] the amount of Smoke Generators: Each base generator count as 1, Each Kai generator count as 2, A very high improvement level (~ ≥ 17) counts as 1. [math]\displaystyle{ \text{Luck}_\text{flag} }[/math] the flagship's luck, [math]\displaystyle{ \bigstar_\text{base} }[/math] the total improvement level of the base generators, [math]\displaystyle{ \bigstar_\text{Kai} }[/math] the total improvement level of the Kai generators,

2

Trigger Rate Formula 2 [2]
[math]\displaystyle{ \text{Level 0}_\text{Rate %} = 3.2 - 0.2 \times \text{K} - \text{N}_\text{Generator} }[/math] If [math]\displaystyle{ \text{Luck}_\text{flag} ≥ 1 \text{ & } \text{N}_\text{Generator} ≥ 3 }[/math], then [math]\displaystyle{ \text{Level 0}_\text{Rate %} = 0 }[/math] [math]\displaystyle{ \text{K} = 5 \times \text{N}_\text{Generator} + 1.5 \times \sqrt{ \text{Luck}_\text{flag} } + 0.3 \times \bigstar_\text{base} + 0.5 \times \bigstar_\text{Kai} }[/math]
[math]\displaystyle{ \text{N}_\text{Generator} = 1 }[/math]	[math]\displaystyle{ \text{N}_\text{Generator} = 2 }[/math]	[math]\displaystyle{ \text{N}_\text{Generator} ≥ 3 }[/math]
[math]\displaystyle{ \begin{align} \text{Level 1}_\text{Rate %} &= 100 - \text{Level 0}_\text{Rate %} \\ \text{Level 2}_\text{Rate %} &= 0 \\ \text{Level 3}_\text{Rate %} &= 0 \end{align} }[/math]	[math]\displaystyle{ \begin{align} \text{Level 1}_\text{Rate %} &= 100 - \text{Level 0}_\text{Rate %} - \text{Level 2}_\text{Rate %} \\ \text{Level 2}_\text{Rate %} &= 3 \times \bigg\lceil \text{K} - 5 \bigg\rceil + 1 \\ \text{Level 3}_\text{Rate %} &= 0 \end{align} }[/math]	[math]\displaystyle{ \begin{align} \text{Level 1}_\text{Rate %} &= \min ( 0 ; 100 - \text{Level 2}_\text{Rate %} - \text{Level 3}_\text{Rate %}) \\ \text{Level 2}_\text{Rate %} &= \min ( 30 ; 100 - \text{Level 3}_\text{Rate %} ) \\ \text{Level 3}_\text{Rate %} &= 3 \times \bigg\lceil \text{K} - 15 \bigg\rceil + 1 \end{align} }[/math]
With [math]\displaystyle{ \text{N}_\text{Generator} }[/math] the amount of Smoke Generators: Each base generator count as 1, Each Kai generator count as 2, A very high improvement level (~ ≥ 17) counts as 1. [math]\displaystyle{ \text{Luck}_\text{flag} }[/math] the flagship's luck, [math]\displaystyle{ \bigstar_\text{base} }[/math] the total improvement level of the base generators, [math]\displaystyle{ \bigstar_\text{Kai} }[/math] the total improvement level of the Kai generators,