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https://docs.google.com/spreadsheets/d/1tEqI13g2LmzR0L8N-I39W6mgmAyc8DxJ-R0_qlEkjlQ/edit?gid=1505561028#gid=1505561028
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{|class="wikitable mw-collapsible mw-collapsed" width="100%"
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!colspan=3|Trigger Rate Formula 1 [https://x.com/yukicacoon/status/1739481809375895854]
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|-
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|colspan=3|
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{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
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|valign="center"|<math>\text{P}_\text{0} = 3.2 - 0.2 \times \text{K} - \text{N}_\text{Generator}</math>
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|}
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*''If <math> \text{Luck}_\text{flag} ≥ 1 \text{ & } \text{N}_\text{Generator} ≥ 3</math>, then <math>\text{P}_\text{0} = 0</math>
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{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
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|valign="center"| <math>\text{K} = \bigg\lceil \sqrt{ \text{Luck}_\text{flag} } + 0.3 \times \bigstar_\text{base} + 0.5 \times \bigstar_\text{Kai} \bigg\rceil</math>
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|}
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|-
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!<math>\text{N}_\text{Generator} = 1</math>
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!<math>\text{N}_\text{Generator} = 2</math>
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!<math>\text{N}_\text{Generator} ≥ 3</math>
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|-
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|
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{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
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|valign="center"| <math>\begin{align}
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\text{P}_\text{1} = 1 - \text{P}_\text{0} \\
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\text{P}_\text{2} = 0 \\
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\text{P}_\text{3} = 0
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\end{align}</math>
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|}
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|
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{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
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|valign="center"| <math>\begin{align}
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\text{P}_\text{1} = 1 - \text{P}_\text{0} - \text{P}_\text{2} \\
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\text{P}_\text{2} = 0.5 \times ( 1 - \text{P}_\text{0} ) \times ( \text{K} + 2 ) \\
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\text{P}_\text{3} = 0
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\end{align}</math>
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|}
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|
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{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
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|valign="center"| <math>\begin{align}
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\text{P}_\text{1} = 1 - \text{P}_\text{2} - \text{P}_\text{3} \\
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\text{P}_\text{2} = mini ( 0.3 ; 1 - \text{P}_\text{3}) \\
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\text{P}_\text{3} = X \times \text{K} + 0.15 \times ( \text{N} - 3 )
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\end{align}</math>
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|}
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*''The X coefficient is unclear yet, being about 0.04~0.045.
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|-
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|colspan=3|
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;With
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*<math>\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,
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*<math>\text{N}_\text{Generator}</math> the amount of Smoke Generators (counted twice for the Kai one),
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*<math>\text{Luck}_\text{flag}</math> the flagship's luck,
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*<math>\bigstar_\text{base}</math> the total [[improvement]] level of the base generators,
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*<math>\bigstar_\text{Kai}</math> the total [[improvement]] level of the Kai generators,
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|}
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----
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{|class="wikitable mw-collapsible mw-collapsed" width="100%"
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!colspan=3|Trigger Rate Formula 2 [https://x.com/Xe_UCH/status/1767407602554855730]
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|-
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|colspan=3|
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{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
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|valign="center"| <math>\text{K} = 1.5 \times \sqrt{ \text{Luck}_\text{flag} } + 0.3 \times \bigstar_\text{base} + 0.5 \times \bigstar_\text{Kai}</math>
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|}
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|-
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!<math>\text{N}_\text{Generator} = 1</math>
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!<math>\text{N}_\text{Generator} = 2</math>
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!<math>\text{N}_\text{Generator} ≥ 3</math>
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|-
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|
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{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
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|valign="center"| <math>\begin{align}
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\text{Level 1}_\text{Rate %} = ? \\
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\text{Level 2}_\text{Rate %} = ? \\
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\text{Level 3}_\text{Rate %} = ?
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\end{align}</math>
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|}
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|
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{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
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|valign="center"| <math>\begin{align}
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\text{Level 1}_\text{Rate %} = ? \\
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\text{Level 2}_\text{Rate %} = 3 \times \bigg\lceil 5 \times \text{N}_\text{Generator} + \text{K} - 5 \bigg\rceil + 1 \\
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\text{Level 3}_\text{Rate %} = ?
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\end{align}</math>
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|}
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|
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{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
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|valign="center"| <math>\begin{align}
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\text{Level 1}_\text{Rate %} = 100 - \text{Level 2}_\text{Rate %} - \text{Level 3}_\text{Rate %} \\
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\text{Level 2}_\text{Rate %} = 30 \\
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\text{Level 3}_\text{Rate %} = 3 \times \bigg\lceil 5 \times \text{N}_\text{Generator} + \text{K} - 15 \bigg\rceil + 1
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\end{align}</math>
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|}
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*''If <math>\text{Level 3}_\text{Rate %} ≥ 70 \text{ %}</math>, then <math>\text{Level 2}_\text{Rate %}</math> is reduced for the total of the three rates to be at 100 %.
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|-
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|colspan=3|
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;With
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*<math>\text{N}_\text{Generator}</math> the amount of Smoke Generators (counted twice for the Kai one),
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*<math>\text{Luck}_\text{flag}</math> the flagship's luck,
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*<math>\bigstar_\text{base}</math> the total [[improvement]] level of the base generators,
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*<math>\bigstar_\text{Kai}</math> the total [[improvement]] level of the Kai generators,
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|}
 
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