use std::mem; use anyhow::Context; use nom::bytes::complete::tag; use nom::character::complete::newline; use nom::combinator::map; use nom::multi::many1; use nom::sequence::delimited; use nom::sequence::preceded; use nom::sequence::terminated; use nom::sequence::tuple; use nom::IResult; use crate::common::parse_input; #[derive(PartialEq, Eq, PartialOrd, Ord)] struct Mapping { source_start: u64, dest_start: u64, len: u64, } fn parse_mapping(i: &[u8]) -> IResult<&[u8], Vec> { use nom::character::complete::u64; let mut mapping = many1(map( tuple(( terminated(u64, tag(" ")), terminated(u64, tag(" ")), terminated(u64, newline), )), |(dest_start, source_start, len)| Mapping { source_start, dest_start, len, }, ))(i)?; // Sort mappings for O(log n) lookup of appropriate mapping later mapping.1.sort_unstable(); Ok(mapping) } struct Almanac { seeds: Vec, // There's a lot of mappings but their names don't matter, they all work the same. mappings: [Vec; 7], } fn parse_almanac(i: &[u8]) -> IResult<&[u8], Almanac> { let parse_seeds = delimited( tag("seeds:"), many1(preceded(tag(" "), nom::character::complete::u64)), newline, ); let mapping_parser = |header| preceded(tag(header), parse_mapping); map( tuple(( parse_seeds, mapping_parser("\nseed-to-soil map:\n"), mapping_parser("\nsoil-to-fertilizer map:\n"), mapping_parser("\nfertilizer-to-water map:\n"), mapping_parser("\nwater-to-light map:\n"), mapping_parser("\nlight-to-temperature map:\n"), mapping_parser("\ntemperature-to-humidity map:\n"), mapping_parser("\nhumidity-to-location map:\n"), )), |(seeds, soil, fertilizer, water, light, temperature, humidity, location)| Almanac { seeds, mappings: [ soil, fertilizer, water, light, temperature, humidity, location, ], }, )(i) } fn follow_mapping(node: u64, mappings: &[Mapping]) -> u64 { let point = mappings.partition_point(|mapping| mapping.source_start <= node); if point == 0 { // There are no mappings that are smaller than the node, so it maps to itself node } else { // `mapping`` is the last mapping that starts smaller or equal to our node, so it is the one // that might contain it. let mapping = &mappings[point - 1]; // Check if the node is in range of this mapping if node - mapping.source_start < mapping.len { // It is, note the order of operations to avoid underflow node + mapping.dest_start - mapping.source_start } else { // It's not, return itself node } } } fn follow_all_mappings(mut node: u64, mappings: &[Vec]) -> u64 { for mappings in mappings { node = follow_mapping(node, mappings) } node } pub fn part1(input: &[u8]) -> anyhow::Result { let almanac = parse_input(input, parse_almanac)?; let min = almanac .seeds .iter() .map(|node| follow_all_mappings(*node, &almanac.mappings)) .min() .context("Unreachable, no seeds but parser ensures seeds")?; Ok(min.to_string()) } pub fn part2(input: &[u8]) -> anyhow::Result { let almanac = parse_input(input, parse_almanac)?; let mut ranges: Vec<(u64, u64)> = almanac .seeds .chunks_exact(2) .map(|c| (c[0], c[1])) .collect(); let mut target = Vec::new(); for mappings in &almanac.mappings { for (mut start, mut len) in ranges.drain(..) { debug_assert_ne!(len, 0); let mut point = mappings.partition_point(|mapping| mapping.source_start <= start); if point > 0 && start < mappings[point - 1].source_start + mappings[point - 1].len { let mapping = &mappings[point - 1]; let overlapping_len = mapping.len - (start - mapping.source_start); let use_len = Ord::min(len, overlapping_len); debug_assert!(use_len > 0); target.push((start - mapping.source_start + mapping.dest_start, use_len)); start += use_len; len -= use_len; } // Loop invariant: start is not in a range and the next range is mappings[point] while len > 0 && point < mappings.len() { let mapping = &mappings[point]; let before_len = Ord::min(len, mapping.source_start - start); if before_len > 0 { len -= before_len; target.push((start, before_len)); start += before_len; } if len > 0 { let inside_len = Ord::min(len, mapping.len); debug_assert!(inside_len > 0); target.push((mapping.dest_start, inside_len)); start += inside_len; len -= inside_len; point += 1; } } if len > 0 { target.push((start, len)); } } mem::swap(&mut ranges, &mut target); } let min = ranges .iter() .map(|&(start, _)| start) .min() .context("Somehow lost all ranges")?; Ok(min.to_string()) } #[cfg(test)] mod tests { use super::*; const SAMPLE: &[u8] = include_bytes!("samples/05.txt"); #[test] fn sample_part1() { assert_eq!(part1(SAMPLE).unwrap(), "35"); } #[test] fn sample_part2() { assert_eq!(part2(SAMPLE).unwrap(), "46"); } }