Drill

ProblemsGo › scheduling

Most people on the floor at once

mediumschedulingIntervalsSortingGo

The register logs every staff entry (start) and exit (end). Find how many were present at the busiest moment.

peakStaff(slots: list<Slot>) → int

Go needs a compiler and Drill does not host one yet, so this page is the reference rather than an exercise: the problem, worked examples, and the solution in full. To type it out, the same problem runs in Python.

Solve it in Python →

Where you start

func peakStaff(slots []Slot) int {
	
}

Worked examples

CallResult
peakStaff([]Slot{Slot{Start: 0, End: 100}, Slot{Start: 50, End: 200}, Slot{Start: 60, End: 80}})3
peakStaff([]Slot{Slot{Start: 0, End: 100}, Slot{Start: 100, End: 200}})1
peakStaff([]Slot{})0
peakStaff([]Slot{Slot{Start: 0, End: 10}, Slot{Start: 5, End: 15}, Slot{Start: 10, End: 20}})2

Hint

Build a timeline of arrivals and departures, then sweep. Or sort all events.

Reference solution in Go
func peakStaff(slots []Slot) int {
	type ev struct {
		t, d int
	}
	events := []ev{}
	for _, s := range slots {
		events = append(events, ev{s.Start, 1}, ev{s.End, -1})
	}
	sort.Slice(events, func(i, j int) bool {
		if events[i].t == events[j].t {
			return events[i].d < events[j].d
		}
		return events[i].t < events[j].t
	})
	cur, best := 0, 0
	for _, e := range events {
		cur += e.d
		if cur > best {
			best = cur
		}
	}
	return best
}

The same problem in another language

More scheduling problems in Go