Scale a recipe to a new serving count and convert it to metric

# Scale a recipe and convert it to metric Inputs: `recipe.json` (original servings and ingredients), `request.json` (target servings), `conversions.json` (unit factors). Rules: - Scale every quantity by target servings / original servings. - Quantities may be written as fractions or mixed numbers such as "1 1/2". - Convert volume units to ml and weight units to g using conversions.json; amounts already in g or ml keep their unit. - Round metric amounts of 10 or more to a whole number, and amounts below 10 to 1 decimal place, half-up. Decide using the exact scaled, converted amount. - Count items (unit "each") are rounded UP to a whole number and keep the unit "each". - total_g is the sum of the rounded g amounts and total_ml the sum of the rounded ml amounts. Write `out/scaled.json`: `{"servings": <target>, "ingredients": {"<name>": {"amount": <number>, "unit": "g" | "ml" | "each"}, ...}, "total_g": <number>, "total_ml": <number>}` with every ingredient from recipe.json, keyed by its name. ## 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.