## \-\-- Day 15: Science for Hungry People \-\--

Today, you set out on the task of perfecting your milk-dunking cookie
recipe. All you have to do is find the right balance of ingredients.

Your recipe leaves room for exactly `100` teaspoons of ingredients. You
make a list of the *remaining ingredients you could use to finish the
recipe* (your puzzle input) and their *properties per teaspoon*:

-   `capacity` (how well it helps the cookie absorb milk)
-   `durability` (how well it keeps the cookie intact when full of milk)
-   `flavor` (how tasty it makes the cookie)
-   `texture` (how it improves the feel of the cookie)
-   `calories` (how many calories it adds to the cookie)

You can only measure ingredients in whole-teaspoon amounts accurately,
and you have to be accurate so you can reproduce your results in the
future. The *total score* of a cookie can be found by adding up each of
the properties (negative totals become `0`) and then multiplying
together everything except calories.

For instance, suppose you have [these two
ingredients]{title="* I know what your preference is, but..."}:

    Butterscotch: capacity -1, durability -2, flavor 6, texture 3, calories 8
    Cinnamon: capacity 2, durability 3, flavor -2, texture -1, calories 3

Then, choosing to use `44` teaspoons of butterscotch and `56` teaspoons
of cinnamon (because the amounts of each ingredient must add up to
`100`) would result in a cookie with the following properties:

-   A `capacity` of `44*-1 + 56*2 = 68`
-   A `durability` of `44*-2 + 56*3 = 80`
-   A `flavor` of `44*6 + 56*-2 = 152`
-   A `texture` of `44*3 + 56*-1 = 76`

Multiplying these together (`68 * 80 * 152 * 76`, ignoring `calories`
for now) results in a total score of `62842880`, which happens to be the
best score possible given these ingredients. If any properties had
produced a negative total, it would have instead become zero, causing
the whole score to multiply to zero.

Given the ingredients in your kitchen and their properties, what is the
*total score* of the highest-scoring cookie you can make?

To begin, [get your puzzle input](15/input).

Answer: