|
| 1 | +use std::{ |
| 2 | + collections::{HashMap, HashSet}, |
| 3 | + iter::repeat_n, |
| 4 | +}; |
| 5 | + |
| 6 | +use common::{Answer, solution}; |
| 7 | +use itertools::Itertools; |
| 8 | +use nd_vec::{Vec3, vector}; |
| 9 | + |
| 10 | +solution!("Playground", 8); |
| 11 | + |
| 12 | +fn part_a(input: &str) -> Answer { |
| 13 | + let boxes = input |
| 14 | + .lines() |
| 15 | + .map(|x| { |
| 16 | + let mut coords = x.split(',').map(|x| x.parse::<i64>().unwrap()); |
| 17 | + vector!( |
| 18 | + coords.next().unwrap(), |
| 19 | + coords.next().unwrap(), |
| 20 | + coords.next().unwrap() |
| 21 | + ) |
| 22 | + }) |
| 23 | + .collect::<Vec<_>>(); |
| 24 | + |
| 25 | + let mut closest_paris = boxes |
| 26 | + .iter() |
| 27 | + .combinations(2) |
| 28 | + .map(|x| ((*x[0] - *x[1]).magnitude_squared(), (*x[0], *x[1]))) |
| 29 | + .collect::<Vec<_>>(); |
| 30 | + closest_paris.sort_by_key(|x| x.0); |
| 31 | + |
| 32 | + let mut connections = HashMap::new(); |
| 33 | + for (_dist, (a, b)) in closest_paris.iter().take(1000) { |
| 34 | + println!("connecting {a:?} and {b:?}"); |
| 35 | + |
| 36 | + connections.entry(*a).or_insert(HashSet::new()).insert(*b); |
| 37 | + connections.entry(*b).or_insert(HashSet::new()).insert(*a); |
| 38 | + } |
| 39 | + |
| 40 | + // get the length of every unique sub graph |
| 41 | + fn subgraph_size( |
| 42 | + connections: &HashMap<Vec3<i64>, HashSet<Vec3<i64>>>, |
| 43 | + seen: &mut HashSet<Vec3<i64>>, |
| 44 | + node: Vec3<i64>, |
| 45 | + ) -> u64 { |
| 46 | + if !seen.insert(node) { |
| 47 | + return 0; |
| 48 | + } |
| 49 | + |
| 50 | + let children = &connections[&node]; |
| 51 | + |
| 52 | + let mut out = 1; |
| 53 | + for child in children { |
| 54 | + out += subgraph_size(connections, seen, *child); |
| 55 | + } |
| 56 | + |
| 57 | + out |
| 58 | + } |
| 59 | + |
| 60 | + let mut seen = HashSet::new(); |
| 61 | + let mut sizes = Vec::new(); |
| 62 | + for start in connections.keys() { |
| 63 | + let size = subgraph_size(&connections, &mut seen, *start); |
| 64 | + if size > 0 { |
| 65 | + sizes.push(size); |
| 66 | + println!("{start:?} is in a {size} node circuit"); |
| 67 | + } |
| 68 | + } |
| 69 | + |
| 70 | + let unconnected = boxes.iter().filter(|x| !seen.contains(x)).count(); |
| 71 | + sizes.extend(repeat_n(1, unconnected)); |
| 72 | + |
| 73 | + sizes.sort(); |
| 74 | + |
| 75 | + sizes.iter().rev().take(3).product::<u64>().into() |
| 76 | +} |
| 77 | + |
| 78 | +fn part_b(input: &str) -> Answer { |
| 79 | + let boxes = input |
| 80 | + .lines() |
| 81 | + .map(|x| { |
| 82 | + let mut coords = x.split(',').map(|x| x.parse::<i64>().unwrap()); |
| 83 | + vector!( |
| 84 | + coords.next().unwrap(), |
| 85 | + coords.next().unwrap(), |
| 86 | + coords.next().unwrap() |
| 87 | + ) |
| 88 | + }) |
| 89 | + .collect::<Vec<_>>(); |
| 90 | + |
| 91 | + let mut closest_paris = boxes |
| 92 | + .iter() |
| 93 | + .combinations(2) |
| 94 | + .map(|x| ((*x[0] - *x[1]).magnitude_squared(), (*x[0], *x[1]))) |
| 95 | + .collect::<Vec<_>>(); |
| 96 | + closest_paris.sort_by_key(|x| x.0); |
| 97 | + |
| 98 | + let mut connections = HashMap::new(); |
| 99 | + for (_dist, (a, b)) in closest_paris.iter() { |
| 100 | + connections.entry(*a).or_insert(HashSet::new()).insert(*b); |
| 101 | + connections.entry(*b).or_insert(HashSet::new()).insert(*a); |
| 102 | + |
| 103 | + // |
| 104 | + |
| 105 | + let mut seen = HashSet::new(); |
| 106 | + for start in connections.keys() { |
| 107 | + subgraph_size(&connections, &mut seen, *start); |
| 108 | + } |
| 109 | + |
| 110 | + let unconnected = boxes.iter().filter(|x| !seen.contains(x)).count(); |
| 111 | + |
| 112 | + if unconnected == 0 { |
| 113 | + return (a.x() * b.x()).into(); |
| 114 | + } |
| 115 | + } |
| 116 | + |
| 117 | + // get the length of every unique sub graph |
| 118 | + fn subgraph_size( |
| 119 | + connections: &HashMap<Vec3<i64>, HashSet<Vec3<i64>>>, |
| 120 | + seen: &mut HashSet<Vec3<i64>>, |
| 121 | + node: Vec3<i64>, |
| 122 | + ) -> u64 { |
| 123 | + if !seen.insert(node) { |
| 124 | + return 0; |
| 125 | + } |
| 126 | + |
| 127 | + let children = &connections[&node]; |
| 128 | + |
| 129 | + let mut out = 1; |
| 130 | + for child in children { |
| 131 | + out += subgraph_size(connections, seen, *child); |
| 132 | + } |
| 133 | + |
| 134 | + out |
| 135 | + } |
| 136 | + |
| 137 | + ().into() |
| 138 | +} |
| 139 | + |
| 140 | +#[cfg(test)] |
| 141 | +mod test { |
| 142 | + use indoc::indoc; |
| 143 | + |
| 144 | + const CASE: &str = indoc! {" |
| 145 | + 162,817,812 |
| 146 | + 57,618,57 |
| 147 | + 906,360,560 |
| 148 | + 592,479,940 |
| 149 | + 352,342,300 |
| 150 | + 466,668,158 |
| 151 | + 542,29,236 |
| 152 | + 431,825,988 |
| 153 | + 739,650,466 |
| 154 | + 52,470,668 |
| 155 | + 216,146,977 |
| 156 | + 819,987,18 |
| 157 | + 117,168,530 |
| 158 | + 805,96,715 |
| 159 | + 346,949,466 |
| 160 | + 970,615,88 |
| 161 | + 941,993,340 |
| 162 | + 862,61,35 |
| 163 | + 984,92,344 |
| 164 | + 425,690,689 |
| 165 | + "}; |
| 166 | + |
| 167 | + #[test] |
| 168 | + fn part_a() { |
| 169 | + assert_eq!(super::part_a(CASE), 40.into()); |
| 170 | + } |
| 171 | + |
| 172 | + #[test] |
| 173 | + fn part_b() { |
| 174 | + assert_eq!(super::part_b(CASE), 25272.into()); |
| 175 | + } |
| 176 | +} |
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