Bill a hotel's group bookings across a mid-month rate rise, weekend nights, cancellations with time-zone offsets and a city-tax cap

# Bill a hotel's November group bookings Inputs: `bookings.csv` (booking_id, guest, company, room_type, arrive, depart, guests, status, cancelled_at, checkout_time), `rates.csv` (room_type, from_date, weekday, weekend), `hotel.json` and `front-desk-note.txt`. Amounts are in pounds. `hotel.json`, `rates.csv` and these rules are the record; where the front-desk note disagrees, the rules win. Rules: - Each night of a stay (arrive up to the night before depart) is charged at the rate in force on that night's date (the row with the latest from_date on or before it); nights falling on a weekday listed in weekend_nights use the weekend rate. - A booking whose company is in corporates (ignoring letter case) gets corporate_discount_pct off its room charge or cancellation charge only, the discount rounded half-up to 0.01 per booking. - A stayed booking whose checkout_time is later than late_checkout_after pays late_fee; checking out exactly at late_checkout_after is free. - A cancelled booking is free if cancelled_at (which carries its own UTC offset) is at least free_cancel_hours before checkin_time on the arrival date in the hotel's timezone; otherwise, and for every no_show, the first night's room rate is charged. - City tax for a stayed booking = guests x nights x city_tax_per_person_night, counting at most city_tax_max_nights nights. - Write `out/billing.json`: `{"room": {"<booking_id>": <room charge after discount>, ...}, "late_fees": {...}, "cancellation_charges": {...}, "city_tax": {...}, "total": <sum of everything>}`. `room` and `city_tax` list every stayed booking; `late_fees` and `cancellation_charges` list only bookings charged one. ## How this run works - Work on your own: nobody will answer questions in this task, and writing to `ask/` counts against the run. - Write only under `out/`. Create `out/` if it is missing. Inputs are synthetic; don't fetch anything from the network. - Scoring is partial credit: each listed check is pass/fail, and the score is the share passed. Numbers are compared to within 0.005 unless the task says otherwise.