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Open Claude Desktopintervals · sweep-line · extremal-counting
The organizer’s problem statement is available at the official source link.
interval coverage
Stars persist across consecutive nights
Each star contributes to a continuous interval of nights; nightly totals constrain but do not uniquely determine the star intervals.
star interval 1
0–3
star interval 2
1–4
night coverage
2–5
- 1
Plot nightly totals
Plot each observed count as the number of active intervals that night. - 2
Construct interval models
Consider interval collections that realize the same coverage while minimizing or maximizing the number of distinct stars. - 3
Add extreme counts
Add the two extreme feasible counts.
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