## --- 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:

```
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?