/// --- Part Two --- /// /// As you walk up the hill, you suspect that the Elves will want to turn this into a hiking /// trail. The beginning isn't very scenic, though; perhaps you can find a better starting point. /// /// To maximize exercise while hiking, the trail should start as low as possible: elevation a. The /// goal is still the square marked E. However, the trail should still be direct, taking the fewest /// steps to reach its goal. So, you'll need to find the shortest path from any square at elevation /// a to the square marked E. /// /// Again consider the example from above: /// /// ``` /// Sabqponm /// abcryxxl /// accszExk /// acctuvwj /// abdefghi /// ``` /// /// Now, there are six choices for starting position (five marked a, plus the square marked S that /// counts as being at elevation a). If you start at the bottom-left square, you can reach the goal /// most quickly: /// /// ``` /// ...v<<<< /// ...vv<<^ /// ...v>E^^ /// .>v>>>^^ /// >^>>>>>^ /// ``` /// /// This path reaches the goal in only 29 steps, the fewest possible. /// /// What is the fewest steps required to move starting from any square with elevation a to the /// location that should get the best signal? use clap::Parser; use itertools::Itertools; use pathfinding::prelude::bfs; use std::fs::File; use std::hash::{Hash, Hasher}; use std::io::prelude::*; use std::io::BufReader; use std::path::PathBuf; const FILEPATH: &'static str = "examples/input.txt"; #[derive(Parser, Debug)] #[clap(author, version, about, long_about = None)] struct Cli { #[clap(short, long, default_value = FILEPATH)] file: PathBuf, } #[derive(Clone, Debug)] struct Arena(Vec>); #[derive(Copy, Clone, Debug, Eq, Hash, Ord, PartialEq, PartialOrd)] struct Pos(usize, usize); #[derive(Clone, Debug)] struct Node { pos: Pos, value: char, connected: Vec, } impl Node { fn new(pos: Pos, value: char) -> Self { Node { pos, value, connected: Vec::new(), } } } impl PartialEq for Node { fn eq(&self, other: &Self) -> bool { self.pos == other.pos } } impl Eq for Node {} impl Hash for Node { fn hash(&self, state: &mut H) { self.pos.hash(state); } } impl Arena { fn get(&self, coords: Pos) -> &Node { &self.0[coords.0][coords.1] } fn get_mut(&mut self, coords: Pos) -> &mut Node { &mut self.0[coords.0][coords.1] } } fn is_connected(x: char, y: char) -> bool { let (x, y) = match (x, y) { ('S', _) => ('a', y), ('E', _) => ('z', y), (_, 'S') => (x, 'a'), (_, 'E') => (x, 'z'), _ => (x, y), }; let (x, y) = (x as i8, y as i8); i8::abs(x - y) <= 1 || x > y } fn main() { let args = Cli::parse(); let file = File::open(&args.file).unwrap(); let reader = BufReader::new(file); let mut arena = Arena(Vec::new()); let _ = reader .lines() .enumerate() .map(|(idx, l)| { l.unwrap() .chars() .enumerate() .map(|(idy, c)| Node::new(Pos(idx, idy), c)) .collect_vec() }) .scan(&mut arena, |arena, row| { arena.0.push(row); Some(()) }) .last(); let xdim = arena.0.len(); let ydim = arena.0[0].len(); let mut lowest_pos = Vec::new(); let mut end_pos = None; for idx in 0..xdim { for idy in 0..ydim { let node_val = arena.get(Pos(idx, idy)).value; match node_val { 'a' | 'S' => lowest_pos.push(Pos(idx, idy)), 'E' => end_pos = Some(Pos(idx, idy)), _ => (), } if idx != 0 { let up_idx = Pos(idx - 1, idy); if is_connected(node_val, arena.get(up_idx).value) { arena.get_mut(Pos(idx, idy)).connected.push(up_idx); } } if idx != xdim - 1 { let down_idx = Pos(idx + 1, idy); if is_connected(node_val, arena.get(down_idx).value) { arena.get_mut(Pos(idx, idy)).connected.push(down_idx); } } if idy != 0 { let left_idx = Pos(idx, idy - 1); if is_connected(node_val, arena.get(left_idx).value) { arena.get_mut(Pos(idx, idy)).connected.push(left_idx); } } if idy != ydim - 1 { let right_idx = Pos(idx, idy + 1); if is_connected(node_val, arena.get(right_idx).value) { arena.get_mut(Pos(idx, idy)).connected.push(right_idx); } } } } let end = arena.get(end_pos.unwrap()); let res = lowest_pos .into_iter() .filter_map(|s| { let steps = bfs( &arena.get(s), |n| n.connected.iter().map(|&p| arena.get(p)), |&n| n == end, )? .len() - 1; Some(steps) }) .min() .unwrap(); println!("{res}"); }