Expected cost
Funded pulls to obtain Pick-Up Students
Milestone tickets keep the new system ahead throughout the ten-copy range.
Model inputs
Announcement defaults are selected.
Funded → total results
300 → 380
80 milestone pulls added
Expected first copy
79.0 funded pulls
28.8 fewer than current
Expected five copies
378.8 funded pulls
62.3 fewer than current
Difference
Expected funded pulls saved
Positive bars mean the renewed system requires fewer player-funded pulls.
Two copies
Probability by funded-pull budget
Ticket pulls are applied as soon as their milestones are reached.
Four copies
Probability by funded-pull budget
The current system catches up at 200-point exchange thresholds; tickets create earlier jumps.
Milestone pull counts used by the model
The milestone counter resets each Pick-Up period. Repeatable rewards after the first track contain no additional recruitment tickets.
- 70+10
- 130+10
- 150+10
- 170+10
- 270+10
- 330+10
- 350+10
- 370+10
Math and assumptions
The calculations are evaluated directly in the browser.
Current system
Copies after n funded pulls are modeled as featured-rate successes plus floor(n / 200) exchanged copies. Pulling the Pick-Up Student does not reset Recruitment Points.
Renewed system
Each Charge cycle uses the selected featured rate, an exact 50% Pick-Up chance at Charge 100, and a guarantee at Charge 200. A matching Pick-Up result resets Charge immediately.
Milestone tickets
The model converts funded pulls into total results by claiming each earned 10-pull ticket immediately. Ticket results also advance the milestone counter and can unlock later tickets.
Expected pulls
Expected cost is calculated from the full probability distribution: for each funded-pull budget, the model sums the probability that the target copy count has not yet been reached.