Break down a home's electricity use by appliance from one plug's power readings and flag the faulty appliance

# Break down a home's electricity use by appliance from one plug's power readings and flag the faulty appliance Inputs: `power.csv` (t, watts: one reading per second from a single monitoring plug, t from 0) and `appliances.csv` (appliance_id, name, rated_w) for the appliances behind that plug. The home, the appliances and the readings are synthetic; the readings include a steady always-on load and random meter noise of a few watts. These rules are the household's; where `meter-notes.txt` disagrees, the rules win. Rules: - Events: a switch event happens at second t when |watts[t] − watts[t−1]| is 30 W or more. Its step is median(watts[t] … watts[t+8]) − median(watts[t−9] … watts[t−1]) (nine readings after and nine before, both medians of whole watts); a positive step is a switch-on and a negative step a switch-off. - Matching: an event belongs to the appliance whose rated_w R satisfies 0.75 × R ≤ |step| ≤ 1.5 × R (the ratings are spaced so that exactly one fits). Each switch-off ends that appliance's current on-period, which started at its last switch-on. - Use: an appliance's on_count is its number of switch-ons, its on_seconds the total of (switch-off t − switch-on t) over its on-periods, and its energy_wh the sum over its on-periods of the switch-on step × the period's seconds ÷ 3600. energy_wh is compared to within 0.5 Wh; on_count, on_seconds and faulty must match exactly. - Faulty: an appliance is faulty when any of its switch-on steps is more than 15% above its rated_w (step > 1.15 × rated_w). - Write `out/appliances.json`: `{"on_count": {"<appliance_id>": <n>, ...}, "on_seconds": {"<appliance_id>": <s>, ...}, "energy_wh": {"<appliance_id>": <Wh>, ...}, "faulty": [<sorted appliance_ids>]}`. - Roll-ups: Appliances in appliances.csv that never switch on are included at 0. ## 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.