Day 23: LAN Party
Megathread guidelines
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FAQ
- What is this?: Here is a post with a large amount of details: https://programming.dev/post/6637268
- Where do I participate?: https://adventofcode.com/
- Is there a leaderboard for the community?: We have a programming.dev leaderboard with the info on how to join in this post: https://programming.dev/post/6631465
Rust
Finding cliques in a graph, which is actually NP-comlete. For part two I did look up how to do it and implemented the Bron-Kerbosch algorithm. Adding the pivoting optimization improved the runtime from 134ms to 7.4ms, so that is definitely worth it (in some sense, of course I already had the correct answer without pivoting).
Solution
use rustc_hash::{FxHashMap, FxHashSet}; fn parse(input: &str) -> (Vec<Vec<usize>>, FxHashMap<&str, usize>) { let mut graph = Vec::new(); let mut names: FxHashMap<&str, usize> = FxHashMap::default(); for l in input.lines() { let (vs, ws) = l.split_once('-').unwrap(); let v = *names.entry(vs).or_insert_with(|| { graph.push(vec![]); graph.len() - 1 }); let w = *names.entry(ws).or_insert_with(|| { graph.push(vec![]); graph.len() - 1 }); graph[v].push(w); graph[w].push(v); } (graph, names) } fn part1(input: String) { let (graph, names) = parse(&input); let mut triples: FxHashSet<[usize; 3]> = FxHashSet::default(); for (_, &v) in names.iter().filter(|(name, _)| name.starts_with('t')) { for (i, &u) in graph[v].iter().enumerate().skip(1) { for w in graph[v].iter().take(i) { if graph[u].contains(w) { let mut triple = [u, v, *w]; triple.sort(); triples.insert(triple); } } } } println!("{}", triples.len()); } // Bron-Kerbosch algorithm for finding all maximal cliques in a graph fn bron_kerbosch( graph: &[Vec<usize>], r: &mut Vec<usize>, mut p: FxHashSet<usize>, mut x: FxHashSet<usize>, ) -> Vec<Vec<usize>> { if p.is_empty() && x.is_empty() { return vec![r.to_vec()]; } let mut maximal_cliques = Vec::new(); let Some(&u) = p.iter().next() else { return maximal_cliques; }; let mut p_pivot = p.clone(); for w in &graph[u] { p_pivot.remove(w); } for v in p_pivot { let pn = graph[v].iter().filter(|w| p.contains(w)).copied().collect(); let xn = graph[v].iter().filter(|w| x.contains(w)).copied().collect(); r.push(v); let new_cliques = bron_kerbosch(graph, r, pn, xn); r.pop(); maximal_cliques.extend(new_cliques); p.remove(&v); x.insert(v); } maximal_cliques } fn part2(input: String) { let (graph, names) = parse(&input); let p = (0..graph.len()).collect(); let mut r = Vec::new(); let maximal_cliques = bron_kerbosch(&graph, &mut r, p, FxHashSet::default()); let maximum_clique = maximal_cliques .iter() .max_by_key(|clique| clique.len()) .unwrap(); let mut lan_names: Vec<&str> = names .iter() .filter(|(_, v)| maximum_clique.contains(v)) .map(|(name, _)| *name) .collect(); lan_names.sort_unstable(); println!("{}", lan_names.join(",")); } util::aoc_main!();
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