Recipe card calories

Work out the calorie figure printed on a recipe card.

A recipe lists ingredients as [name, amount, unit], where amount is a positive integer and unit is one of g, kg, ml, l, tsp, tbsp, cup. Volumes convert exactly: 1 tsp = 5 ml, 1 tbsp = 15 ml, 1 cup = 240 ml, 1 l = 1000 ml. 1 kg = 1000 g.

A facts table gives, for some ingredients, [name, kcal_per_100g, grams_per_100ml] (both integers). To get the weight of an ingredient listed by volume, use its density: grams = ml * grams_per_100ml / 100. Ingredients listed by weight need no density. Names match exactly, and the same ingredient may appear on several lines. An ingredient that is not in the facts table (water, salt, ...) contributes 0 kcal.

Add up the exact calories of all lines: grams * kcal_per_100g / 100 for each, without rounding anything along the way. Divide by servings to get the exact calories per serving. The card prints this value rounded to the nearest multiple of 5; a value exactly halfway between two multiples (for example 12.5) rounds up.

Input: ingredients, a list of [name, amount, unit]; facts, a list of [name, kcal_per_100g, grams_per_100ml]; and servings, a positive integer.

Output: the printed calories per serving, an integer.