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| 1 | +use utils::grid; |
| 2 | +use utils::prelude::*; |
| 3 | + |
| 4 | +/// Counting increasing paths through a grid. |
| 5 | +#[derive(Clone, Debug)] |
| 6 | +pub struct Day10 { |
| 7 | + rows: usize, |
| 8 | + cols: usize, |
| 9 | + grid: Vec<u32>, |
| 10 | +} |
| 11 | + |
| 12 | +impl Day10 { |
| 13 | + pub fn new(input: &str, _: InputType) -> Result<Self, InputError> { |
| 14 | + let (rows, cols, grid) = grid::from_str(input, |b| match b { |
| 15 | + b'0'..=b'9' => Some((b - b'0') as u32), |
| 16 | + _ => None, |
| 17 | + })?; |
| 18 | + |
| 19 | + Ok(Self { rows, cols, grid }) |
| 20 | + } |
| 21 | + |
| 22 | + #[must_use] |
| 23 | + pub fn part1(&self) -> u32 { |
| 24 | + let mut total = 0; |
| 25 | + let mut visited = vec![usize::MAX; self.grid.len()]; |
| 26 | + for r in 0..self.rows { |
| 27 | + for c in 0..self.cols { |
| 28 | + if self.grid[r * self.cols + c] != 0 { |
| 29 | + continue; |
| 30 | + } |
| 31 | + total += self.trailhead_score(r, c, 1, &mut visited, r * self.cols + c); |
| 32 | + } |
| 33 | + } |
| 34 | + total |
| 35 | + } |
| 36 | + |
| 37 | + fn trailhead_score( |
| 38 | + &self, |
| 39 | + r: usize, |
| 40 | + c: usize, |
| 41 | + next: u32, |
| 42 | + visited: &mut [usize], |
| 43 | + visited_key: usize, |
| 44 | + ) -> u32 { |
| 45 | + let index = r * self.cols + c; |
| 46 | + visited[index] = visited_key; |
| 47 | + if next == 10 { |
| 48 | + return 1; |
| 49 | + } |
| 50 | + |
| 51 | + let mut total = 0; |
| 52 | + if r > 0 |
| 53 | + && self.grid[index - self.cols] == next |
| 54 | + && visited[index - self.cols] != visited_key |
| 55 | + { |
| 56 | + total += self.trailhead_score(r - 1, c, next + 1, visited, visited_key); |
| 57 | + } |
| 58 | + if r < self.rows - 1 |
| 59 | + && self.grid[index + self.cols] == next |
| 60 | + && visited[index + self.cols] != visited_key |
| 61 | + { |
| 62 | + total += self.trailhead_score(r + 1, c, next + 1, visited, visited_key); |
| 63 | + } |
| 64 | + if c > 0 && self.grid[index - 1] == next && visited[index - 1] != visited_key { |
| 65 | + total += self.trailhead_score(r, c - 1, next + 1, visited, visited_key); |
| 66 | + } |
| 67 | + if c < self.cols - 1 && self.grid[index + 1] == next && visited[index + 1] != visited_key { |
| 68 | + total += self.trailhead_score(r, c + 1, next + 1, visited, visited_key); |
| 69 | + } |
| 70 | + |
| 71 | + total |
| 72 | + } |
| 73 | + |
| 74 | + pub fn part2(&self) -> u32 { |
| 75 | + let mut total = 0; |
| 76 | + let mut cache = vec![None; self.grid.len()]; |
| 77 | + for r in 0..self.rows { |
| 78 | + for c in 0..self.cols { |
| 79 | + if self.grid[r * self.cols + c] != 0 { |
| 80 | + continue; |
| 81 | + } |
| 82 | + total += self.count_trails(r, c, 1, &mut cache); |
| 83 | + } |
| 84 | + } |
| 85 | + total |
| 86 | + } |
| 87 | + |
| 88 | + fn count_trails(&self, r: usize, c: usize, next: u32, cache: &mut [Option<u32>]) -> u32 { |
| 89 | + let index = r * self.cols + c; |
| 90 | + if let Some(cache) = cache[index] { |
| 91 | + return cache; |
| 92 | + } |
| 93 | + |
| 94 | + if next == 10 { |
| 95 | + cache[index] = Some(1); |
| 96 | + return 1; |
| 97 | + } |
| 98 | + |
| 99 | + let mut total = 0; |
| 100 | + if r > 0 && self.grid[index - self.cols] == next { |
| 101 | + total += self.count_trails(r - 1, c, next + 1, cache); |
| 102 | + } |
| 103 | + if r < self.rows - 1 && self.grid[index + self.cols] == next { |
| 104 | + total += self.count_trails(r + 1, c, next + 1, cache); |
| 105 | + } |
| 106 | + if c > 0 && self.grid[index - 1] == next { |
| 107 | + total += self.count_trails(r, c - 1, next + 1, cache); |
| 108 | + } |
| 109 | + if c < self.cols - 1 && self.grid[index + 1] == next { |
| 110 | + total += self.count_trails(r, c + 1, next + 1, cache); |
| 111 | + } |
| 112 | + |
| 113 | + cache[index] = Some(total); |
| 114 | + total |
| 115 | + } |
| 116 | +} |
| 117 | + |
| 118 | +examples!(Day10 -> (u32, u32) [ |
| 119 | + {file: "day10_example0.txt", part1: 36, part2: 81}, |
| 120 | +]); |
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