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| 1 | +use core::str; |
| 2 | + |
| 3 | +use aoc_runner_derive::aoc; |
| 4 | + |
| 5 | +const MAX: usize = 26 * 26; |
| 6 | + |
| 7 | +const T_START: u16 = (b't' - b'a') as u16 * 26; |
| 8 | +const T_END: u16 = T_START + 26; |
| 9 | + |
| 10 | +const T_START_REM: u16 = (-(T_START as i16)).rem_euclid(MAX as i16) as u16; |
| 11 | + |
| 12 | +#[aoc(day23, part1)] |
| 13 | +pub fn part1(s: &str) -> u64 { |
| 14 | + let s = s.as_bytes(); |
| 15 | + |
| 16 | + let mut connections = [const { heapless::Vec::<u16, 16>::new() }; MAX]; |
| 17 | + unsafe { |
| 18 | + let mut i = 0; |
| 19 | + while i < s.len() { |
| 20 | + let cp1 = |
| 21 | + (s.get_unchecked(i) - b'a') as u16 * 26 + (s.get_unchecked(i + 1) - b'a') as u16; |
| 22 | + let cp2 = (s.get_unchecked(i + 3) - b'a') as u16 * 26 |
| 23 | + + (s.get_unchecked(i + 4) - b'a') as u16; |
| 24 | + |
| 25 | + connections |
| 26 | + .get_unchecked_mut(cp1 as usize) |
| 27 | + .push_unchecked(cp2); |
| 28 | + connections |
| 29 | + .get_unchecked_mut(cp2 as usize) |
| 30 | + .push_unchecked(cp1); |
| 31 | + |
| 32 | + i += 6; |
| 33 | + } |
| 34 | + } |
| 35 | + |
| 36 | + // println!( |
| 37 | + // "{}{}:", |
| 38 | + // ((c / 26) as u8 + b'a') as char, |
| 39 | + // ((c % 26) as u8 + b'a') as char, |
| 40 | + // ); |
| 41 | + |
| 42 | + let mut sum = 0; |
| 43 | + for c in T_START..T_END { |
| 44 | + for con in &connections[c as usize] { |
| 45 | + if ((*con + T_START_REM) % MAX as u16) < (c + T_START_REM) % MAX as u16 { |
| 46 | + continue; |
| 47 | + } |
| 48 | + for concon in &connections[*con as usize] { |
| 49 | + if ((*concon + T_START_REM) % MAX as u16) < (*con + T_START_REM) % MAX as u16 { |
| 50 | + continue; |
| 51 | + } |
| 52 | + for conconcon in &connections[*concon as usize] { |
| 53 | + if *conconcon == c { |
| 54 | + sum += 1; |
| 55 | + break; |
| 56 | + } |
| 57 | + } |
| 58 | + } |
| 59 | + } |
| 60 | + } |
| 61 | + |
| 62 | + sum |
| 63 | +} |
| 64 | + |
| 65 | +static mut SCRATCH: [u8; 16 * 3] = [0; 16 * 3]; |
| 66 | + |
| 67 | +#[aoc(day23, part2)] |
| 68 | +pub fn part2(s: &str) -> &'static str { |
| 69 | + let s = s.as_bytes(); |
| 70 | + |
| 71 | + let mut g = [[false; MAX]; MAX]; |
| 72 | + |
| 73 | + let mut vertecies = const { |
| 74 | + let mut vs = [(0u16, 0); MAX]; |
| 75 | + let mut i = 0; |
| 76 | + while i < MAX { |
| 77 | + vs[i].0 = i as u16; |
| 78 | + i += 1; |
| 79 | + } |
| 80 | + vs |
| 81 | + }; |
| 82 | + |
| 83 | + unsafe { |
| 84 | + let mut i = 0; |
| 85 | + while i < s.len() { |
| 86 | + let cp1 = |
| 87 | + (s.get_unchecked(i) - b'a') as u16 * 26 + (s.get_unchecked(i + 1) - b'a') as u16; |
| 88 | + let cp2 = (s.get_unchecked(i + 3) - b'a') as u16 * 26 |
| 89 | + + (s.get_unchecked(i + 4) - b'a') as u16; |
| 90 | + |
| 91 | + *g.get_unchecked_mut(cp2 as usize) |
| 92 | + .get_unchecked_mut(cp1 as usize) = true; |
| 93 | + *g.get_unchecked_mut(cp1 as usize) |
| 94 | + .get_unchecked_mut(cp2 as usize) = true; |
| 95 | + vertecies.get_unchecked_mut(cp1 as usize).1 += 1; |
| 96 | + vertecies.get_unchecked_mut(cp2 as usize).1 += 1; |
| 97 | + |
| 98 | + i += 6; |
| 99 | + } |
| 100 | + } |
| 101 | + |
| 102 | + vertecies.sort_unstable_by(|a, b| b.1.cmp(&a.1)); |
| 103 | + let mut i = vertecies.len() - 1; |
| 104 | + while vertecies[i].1 == 0 { |
| 105 | + i -= 1; |
| 106 | + } |
| 107 | + let vertecies = &mut vertecies[..i + 1]; |
| 108 | + |
| 109 | + let max_degree = vertecies[0].1 as usize; |
| 110 | + |
| 111 | + for i in 0..max_degree { |
| 112 | + vertecies[i].1 = i as u16; |
| 113 | + } |
| 114 | + for i in max_degree..vertecies.len() { |
| 115 | + vertecies[i].1 = max_degree as u16; |
| 116 | + } |
| 117 | + |
| 118 | + let mut cs = [const { heapless::Vec::<u16, 16>::new() }; 16]; |
| 119 | + |
| 120 | + let mut q = heapless::Vec::<u16, 16>::new(); |
| 121 | + let mut q_max = heapless::Vec::<u16, 16>::new(); |
| 122 | + |
| 123 | + expand(vertecies, &g, &mut q, &mut q_max, &mut cs); |
| 124 | + |
| 125 | + q_max.sort_unstable(); |
| 126 | + |
| 127 | + unsafe { |
| 128 | + let mut i = 0; |
| 129 | + for p in q_max { |
| 130 | + SCRATCH[i + 0] = (p / 26) as u8 + b'a'; |
| 131 | + SCRATCH[i + 1] = (p % 26) as u8 + b'a'; |
| 132 | + SCRATCH[i + 2] = b','; |
| 133 | + i += 3; |
| 134 | + } |
| 135 | + |
| 136 | + str::from_utf8_unchecked(&SCRATCH[..i - 1]) |
| 137 | + } |
| 138 | +} |
| 139 | + |
| 140 | +// Using this algorithm: https://web.archive.org/web/20160911054636/http://www.dcs.gla.ac.uk/~pat/jchoco/clique/indSetMachrahanish/papers/tomita2003.pdf |
| 141 | +fn expand( |
| 142 | + mut r: &mut [(u16, u16)], |
| 143 | + g: &[[bool; MAX]; MAX], |
| 144 | + q: &mut heapless::Vec<u16, 16>, |
| 145 | + q_max: &mut heapless::Vec<u16, 16>, |
| 146 | + cs: &mut [heapless::Vec<u16, 16>; 16], |
| 147 | +) { |
| 148 | + while let Some(((p, color), rest)) = r.split_last_mut() { |
| 149 | + let p = *p as usize; |
| 150 | + if q.len() + *color as usize + 1 > q_max.len() { |
| 151 | + q.push(p as u16).unwrap(); |
| 152 | + |
| 153 | + let mut new_r = heapless::Vec::<(u16, u16), 16>::new(); |
| 154 | + for (i, _) in rest.iter() { |
| 155 | + if g[p][*i as usize] { |
| 156 | + new_r.push((*i, 0)).unwrap(); |
| 157 | + } |
| 158 | + } |
| 159 | + |
| 160 | + if !new_r.is_empty() { |
| 161 | + number_sort(new_r.as_mut_slice(), g, cs); |
| 162 | + expand(&mut new_r, g, q, q_max, cs); |
| 163 | + } else if q.len() > q_max.len() { |
| 164 | + q_max.clone_from(q); |
| 165 | + } |
| 166 | + q.pop(); |
| 167 | + } else { |
| 168 | + return; |
| 169 | + } |
| 170 | + r = rest; |
| 171 | + } |
| 172 | +} |
| 173 | + |
| 174 | +fn number_sort( |
| 175 | + r: &mut [(u16, u16)], |
| 176 | + g: &[[bool; MAX]; MAX], |
| 177 | + cs: &mut [heapless::Vec<u16, 16>; 16], |
| 178 | +) { |
| 179 | + let mut maxno = 0; |
| 180 | + cs[0].clear(); |
| 181 | + cs[1].clear(); |
| 182 | + |
| 183 | + { |
| 184 | + let mut r = &*r; |
| 185 | + while let Some(((p, _), rest)) = r.split_first() { |
| 186 | + let p = *p as usize; |
| 187 | + let mut k = 0; |
| 188 | + |
| 189 | + 'outer: loop { |
| 190 | + for i in &cs[k] { |
| 191 | + if g[p][*i as usize] { |
| 192 | + k += 1; |
| 193 | + continue 'outer; |
| 194 | + } |
| 195 | + } |
| 196 | + break; |
| 197 | + } |
| 198 | + if k > maxno { |
| 199 | + maxno = k; |
| 200 | + cs[maxno + 1].clear(); |
| 201 | + } |
| 202 | + cs[k].push(p as u16).unwrap(); |
| 203 | + |
| 204 | + r = rest; |
| 205 | + } |
| 206 | + } |
| 207 | + |
| 208 | + let mut i = 0; |
| 209 | + for k in 0..=maxno { |
| 210 | + for j in &cs[k] { |
| 211 | + r[i] = (*j, k as u16); |
| 212 | + i += 1; |
| 213 | + } |
| 214 | + } |
| 215 | +} |
| 216 | + |
| 217 | +#[cfg(test)] |
| 218 | +mod test { |
| 219 | + use super::*; |
| 220 | + |
| 221 | + const EXAMPLE: &str = r"kh-tc |
| 222 | +qp-kh |
| 223 | +de-cg |
| 224 | +ka-co |
| 225 | +yn-aq |
| 226 | +qp-ub |
| 227 | +cg-tb |
| 228 | +vc-aq |
| 229 | +tb-ka |
| 230 | +wh-tc |
| 231 | +yn-cg |
| 232 | +kh-ub |
| 233 | +ta-co |
| 234 | +de-co |
| 235 | +tc-td |
| 236 | +tb-wq |
| 237 | +wh-td |
| 238 | +ta-ka |
| 239 | +td-qp |
| 240 | +aq-cg |
| 241 | +wq-ub |
| 242 | +ub-vc |
| 243 | +de-ta |
| 244 | +wq-aq |
| 245 | +wq-vc |
| 246 | +wh-yn |
| 247 | +ka-de |
| 248 | +kh-ta |
| 249 | +co-tc |
| 250 | +wh-qp |
| 251 | +tb-vc |
| 252 | +td-yn |
| 253 | +"; |
| 254 | + |
| 255 | + #[test] |
| 256 | + fn example_part1() { |
| 257 | + assert_eq!(part1(EXAMPLE), 7); |
| 258 | + } |
| 259 | + #[test] |
| 260 | + fn example_part2() { |
| 261 | + assert_eq!(part2(EXAMPLE), "co,de,ka,ta"); |
| 262 | + } |
| 263 | +} |
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