12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364 |
- --- Day 7: Handy Haversacks ---
- You land at the regional airport in time for your next flight. In fact, it looks like you'll even have time to grab some food: all flights are currently delayed due to issues in luggage processing.
- Due to recent aviation regulations, many rules (your puzzle input) are being enforced about bags and their contents; bags must be color-coded and must contain specific quantities of other color-coded bags. Apparently, nobody responsible for these regulations considered how long they would take to enforce!
- For example, consider the following rules:
- light red bags contain 1 bright white bag, 2 muted yellow bags.
- dark orange bags contain 3 bright white bags, 4 muted yellow bags.
- bright white bags contain 1 shiny gold bag.
- muted yellow bags contain 2 shiny gold bags, 9 faded blue bags.
- shiny gold bags contain 1 dark olive bag, 2 vibrant plum bags.
- dark olive bags contain 3 faded blue bags, 4 dotted black bags.
- vibrant plum bags contain 5 faded blue bags, 6 dotted black bags.
- faded blue bags contain no other bags.
- dotted black bags contain no other bags.
- These rules specify the required contents for 9 bag types. In this example, every faded blue bag is empty, every vibrant plum bag contains 11 bags (5 faded blue and 6 dotted black), and so on.
- You have a shiny gold bag. If you wanted to carry it in at least one other bag, how many different bag colors would be valid for the outermost bag? (In other words: how many colors can, eventually, contain at least one shiny gold bag?)
- In the above rules, the following options would be available to you:
- A bright white bag, which can hold your shiny gold bag directly.
- A muted yellow bag, which can hold your shiny gold bag directly, plus some other bags.
- A dark orange bag, which can hold bright white and muted yellow bags, either of which could then hold your shiny gold bag.
- A light red bag, which can hold bright white and muted yellow bags, either of which could then hold your shiny gold bag.
- So, in this example, the number of bag colors that can eventually contain at least one shiny gold bag is 4.
- How many bag colors can eventually contain at least one shiny gold bag? (The list of rules is quite long; make sure you get all of it.)
- Your puzzle answer was 172.
- --- Part Two ---
- It's getting pretty expensive to fly these days - not because of ticket prices, but because of the ridiculous number of bags you need to buy!
- Consider again your shiny gold bag and the rules from the above example:
- faded blue bags contain 0 other bags.
- dotted black bags contain 0 other bags.
- vibrant plum bags contain 11 other bags: 5 faded blue bags and 6 dotted black bags.
- dark olive bags contain 7 other bags: 3 faded blue bags and 4 dotted black bags.
- So, a single shiny gold bag must contain 1 dark olive bag (and the 7 bags within it) plus 2 vibrant plum bags (and the 11 bags within each of those): 1 + 1*7 + 2 + 2*11 = 32 bags!
- Of course, the actual rules have a small chance of going several levels deeper than this example; be sure to count all of the bags, even if the nesting becomes topologically impractical!
- Here's another example:
- shiny gold bags contain 2 dark red bags.
- dark red bags contain 2 dark orange bags.
- dark orange bags contain 2 dark yellow bags.
- dark yellow bags contain 2 dark green bags.
- dark green bags contain 2 dark blue bags.
- dark blue bags contain 2 dark violet bags.
- dark violet bags contain no other bags.
- In this example, a single shiny gold bag must contain 126 other bags.
- How many individual bags are required inside your single shiny gold bag?
- Your puzzle answer was 39645.
|