Work out a dental clinic's insurance estimates and patient balances from coverage classes, deductibles and annual maximums

# Work out a dental clinic's insurance estimates and patient balances from coverage classes, deductibles and annual maximums Inputs: `patients.csv` (patient_id, account_id, plan, deductible_left, annual_max_left), `fee-schedule.json` (per procedure: fee, class), `plans.json` (per plan: the percent it pays for preventive, basic and major work) and `treatments.csv` (line_id, patient_id, date, procedure, tooth). All patients and accounts are synthetic; amounts are in dollars. These rules are the clinic's policy; where `front-desk-note.txt` disagrees, the rules win. Rules: - Order: work through each patient's treatment lines by date, and by line_id within a date (the file is not in that order); each line uses what is left of the patient's deductible and annual maximum after the earlier lines. - Deductible: on basic and major lines only, take what is left of the patient's deductible off the fee (at most the whole fee) before coverage; preventive lines never use the deductible. - Coverage: insurer share = (fee − deductible taken) × the plan's percent for the line's class, rounded half-up to the cent, but never more than the patient's annual maximum still left; whatever the insurer pays comes off the annual maximum left. Patient share = fee − insurer share. - Write `out/estimate.json`: `{"lines": {"<line_id>": {"deductible": <dollars>, "insurer": <dollars>, "patient": <dollars>}, ...}, "patients": {"<patient_id>": {"insurer": <sum>, "patient": <sum>, "max_left": <annual maximum left after all lines>}, ...}, "accounts": {"<account_id>": <sum of its patients' patient shares>, ...}}`. ## 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.