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Find the first free slot in a day

harddatesIntervalsSortingGreedyJava

A scheduling assistant looks at a day of bookings and offers the earliest time a meeting of a given length would fit.

nextFreeSlot(busy: list<Slot>, dayStart: int, dayEnd: int, minutes: int) → int?

Java 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

Integer nextFreeSlot(List<Slot> busy, int dayStart, int dayEnd, int minutes) {
    
}

Worked examples

CallResult
nextFreeSlot(Main.<Slot>ls(new Slot(540, 600)), 480, 1020, 30)480
nextFreeSlot(Main.<Slot>ls(new Slot(480, 540)), 480, 1020, 30)540
nextFreeSlot(Main.<Slot>ls(new Slot(480, 1020)), 480, 1020, 30)(Integer) null
nextFreeSlot(Main.<Slot>ls(new Slot(540, 600), new Slot(610, 700)), 480, 1020, 90)700

Hint

Sweep a cursor from the start of the day: before each booking, check whether the gap is wide enough, then jump the cursor past it.

Reference solution in Java
Integer nextFreeSlot(List<Slot> busy, int dayStart, int dayEnd, int minutes) {
    if (minutes <= 0) return null;
    int cursor = dayStart;
    for (Slot s : busy) {
        if (s.start - cursor >= minutes) return cursor;
        if (s.end > cursor) cursor = s.end;
    }
    return dayEnd - cursor >= minutes ? cursor : null;
}

The same problem in another language

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