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Peak Concurrency and Total Overlap of Maintenance Windows

SQLHardSenior level~15 min

Problem

An infrastructure team schedules maintenance windows in `maintenance_windows`. Each row has a `server_id`, an `opened_at` timestamp, and a `closed_at` timestamp. Windows on the same server can overlap in time.

For every server return two figures: `peak_concurrent_windows` — the maximum number of that server's windows that are simultaneously open at any instant — and `total_overlap_minutes` — the sum, over every ordered pair of overlapping windows on that server, of the length in whole minutes that the two windows share. A pair (A, B) overlaps when A opens before B (A.opened_at < B.opened_at) and A is still open when B opens (A.closed_at > B.opened_at); the shared length is MIN(A.closed_at, B.closed_at) minus MAX(A.opened_at, B.opened_at), truncated to whole minutes. A server with no overlapping pair reports `total_overlap_minutes` of 0.

Return one row per server and order by `server_id`.

Tables

Example rows — the live problem includes the full dataset.

maintenance_windows
server_idopened_atclosed_at
12024-06-01 01:00:002024-06-01 03:00:00
12024-06-01 02:00:002024-06-01 04:00:00
12024-06-01 02:30:002024-06-01 05:00:00

Expected output

Your answer should return 3 rows with the columns server_id, peak_concurrent_windows, total_overlap_minutes.

Starter code (SQL)

SELECT *
FROM maintenance_windows;

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