1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
//! # 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:
//!
//! ```txt
//! 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.)
//!
//! ## 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:
//!
//! ```txt
//! 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?**

use std::collections::{HashMap, HashSet};

use anyhow::{Context, Result};

pub const INPUT: &str = include_str!("d07.txt");

pub fn solve_part_one(input: &str) -> Result<usize> {
    let relations = parse_input(input)?;

    let mut mapping: HashMap<&str, Vec<&str>> = HashMap::new();

    for (p, cs) in relations {
        for (_, c) in cs {
            mapping.entry(c).or_default().push(p);
        }
    }

    Ok(iterate_one(&mapping, "shiny gold").len())
}

pub fn solve_part_two(input: &str) -> Result<u32> {
    let relations = parse_input(input)?;

    Ok(iterate_two(&relations, "shiny gold") - 1)
}

fn iterate_one<'a>(
    mapping: &'a HashMap<&'a str, Vec<&'a str>>,
    current: &'a str,
) -> HashSet<&'a str> {
    let mut count = HashSet::new();

    if let Some(parents) = mapping.get(current) {
        for p in parents {
            count.insert(*p);
            count.extend(iterate_one(mapping, p));
        }
    }

    count
}

fn iterate_two(mapping: &HashMap<&str, Vec<(u32, &str)>>, current: &str) -> u32 {
    let mut count = 1;

    if let Some(children) = mapping.get(current) {
        for (amount, child) in children {
            count += amount * iterate_two(mapping, child);
        }
    }

    count
}

fn parse_input(input: &str) -> Result<HashMap<&str, Vec<(u32, &str)>>> {
    input
        .lines()
        .map(|l| {
            let mut parts = l.splitn(2, " bags contain ");
            let parent = parts.next().context("parent bag missing")?;
            let children = parts.next().context("children bags missing")?;

            if children == "no other bags." {
                return Ok((parent, Vec::new()));
            }

            let children = children
                .trim_end_matches(|c| c == ' ' || c == '.')
                .split(", ")
                .map(|c| {
                    let mut parts = c
                        .strip_suffix(" bag")
                        .or_else(|| c.strip_suffix(" bags"))
                        .unwrap_or(c)
                        .splitn(2, ' ');

                    Ok((
                        parts.next().context("count missing")?.parse::<u32>()?,
                        parts.next().context("child missing")?,
                    ))
                })
                .collect::<Result<Vec<_>>>()?;

            Ok((parent, children))
        })
        .collect()
}

#[cfg(test)]
mod tests {
    use indoc::indoc;

    use super::*;

    const INPUT: &str = indoc! {"
        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.
    "};

    #[test]
    fn part_one() {
        assert_eq!(4, solve_part_one(INPUT).unwrap());
    }

    #[test]
    fn part_two() {
        assert_eq!(32, solve_part_two(INPUT).unwrap());

        let input = indoc! {"
            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.
        "};
        assert_eq!(126, solve_part_two(input).unwrap());
    }
}