Quote and choose parcel carriers for a batch of shipments under each carrier's own rules

# Quote and choose parcel carriers for a batch of shipments under each carrier's own rules Inputs: `carriers.json` (each carrier's dimensional divisor, weight rounding, billing method, zones, rate bands and surcharges) and `shipments.csv` (shipment_id, piece, dest_postcode, dims_cm as "a x b x c" in any order, actual_kg). Everything is synthetic. `carriers.json` and these rules are the record; where `dispatch-note.txt` disagrees, the rules win. Rules: - A piece's chargeable weight with a carrier is the larger of actual_kg and a × b × c / dim_divisor, rounded up to the next multiple of the carrier's round_kg. - The zone is the one for the longest prefix in zones that the postcode starts with (compare in capitals without spaces). The base comes from the first band whose max_kg is at least the weight; above the last band it is the last band's price plus per_kg_above × the kg over its max_kg. billing per_piece prices each piece's chargeable weight separately and adds them; billing consignment prices the sum of the pieces' chargeable weights once. - Oversize applies per piece when its longest side is more than longest_cm, or its longest side plus twice the sum of the other two sides is more than length_plus_girth_cm. The remote fee applies once per shipment when the postcode starts with any remote prefix. - Fuel is fuel_pct of the sum of the charge types listed in fuel_applies_to (base, oversize, remote), rounded half-up to the cent. The total is base + oversize fees + remote fee + fuel. - A carrier can't take a shipment if any piece's actual_kg is above its max_piece_kg; its quote is then null. - Choose the cheapest carrier for each shipment; on a tie take the carrier listed first in carriers.json (null if no carrier can take it). - Write `out/quotes.json`: `{"chargeable_kg": {"<shipment_id>": {"<carrier>": [<kg per piece in piece order>], ...}, ...}, "base": {"<shipment_id>": {"<carrier>": <base or null>, ...}, ...}, "quotes": {"<shipment_id>": {"<carrier>": <total or null>, ...}, ...}, "chosen": {"<shipment_id>": "<carrier>", ...}}`. ## 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.