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| 1 | +use utils::point::Point2D; |
| 2 | +use utils::prelude::*; |
| 3 | + |
| 4 | +/// Measuring regions using Manhattan distance. |
| 5 | +#[derive(Clone, Debug)] |
| 6 | +pub struct Day06 { |
| 7 | + locations: Vec<Point2D<usize>>, |
| 8 | + region_threshold: u32, |
| 9 | +} |
| 10 | + |
| 11 | +const WIDTH: usize = 320; |
| 12 | + |
| 13 | +impl Day06 { |
| 14 | + pub fn new(input: &str, input_type: InputType) -> Result<Self, InputError> { |
| 15 | + let locations = parser::number_range(0..=999) |
| 16 | + .repeat_n(", ") |
| 17 | + .map(Point2D::from) |
| 18 | + .parse_lines(input)?; |
| 19 | + if locations.is_empty() { |
| 20 | + return Err(InputError::new(input, 0, "expected at least one location")); |
| 21 | + } |
| 22 | + if locations.len() >= u8::MAX as usize { |
| 23 | + return Err(InputError::new(input, 0, "too many locations")); |
| 24 | + } |
| 25 | + |
| 26 | + let min = locations.iter().map(|p| p.x.min(p.y)).min().unwrap(); |
| 27 | + let max = locations.iter().map(|p| p.x.max(p.y)).max().unwrap(); |
| 28 | + if max - min >= WIDTH { |
| 29 | + return Err(InputError::new(input, 0, "coordinate range too large")); |
| 30 | + } |
| 31 | + |
| 32 | + let min_point = Point2D::new(min, min); |
| 33 | + Ok(Self { |
| 34 | + locations: locations.into_iter().map(|p| p - min_point).collect(), |
| 35 | + region_threshold: match input_type { |
| 36 | + InputType::Example => 32, |
| 37 | + InputType::Real => 10000, |
| 38 | + }, |
| 39 | + }) |
| 40 | + } |
| 41 | + |
| 42 | + #[must_use] |
| 43 | + pub fn part1(&self) -> u32 { |
| 44 | + let mut distances = [0u16; WIDTH * WIDTH]; |
| 45 | + let mut closest = [0u8; WIDTH * WIDTH]; |
| 46 | + |
| 47 | + for (i, location) in self.locations.iter().enumerate() { |
| 48 | + // Distances are stored inverted so the array can start zeroed |
| 49 | + distances[location.y * WIDTH + location.x] = u16::MAX; |
| 50 | + closest[location.y * WIDTH + location.x] = 1 + i as u8; |
| 51 | + } |
| 52 | + |
| 53 | + // Right |
| 54 | + for y in 0..WIDTH { |
| 55 | + Self::chunk( |
| 56 | + &mut distances, |
| 57 | + &mut closest, |
| 58 | + (y * WIDTH)..(y * WIDTH) + (WIDTH - 1), |
| 59 | + 1, |
| 60 | + ); |
| 61 | + } |
| 62 | + // Down |
| 63 | + Self::chunk(&mut distances, &mut closest, 0..WIDTH * (WIDTH - 1), WIDTH); |
| 64 | + |
| 65 | + // Left |
| 66 | + for y in (0..WIDTH).rev() { |
| 67 | + Self::chunk( |
| 68 | + &mut distances, |
| 69 | + &mut closest, |
| 70 | + ((y * WIDTH) + 1..(y * WIDTH) + WIDTH).rev(), |
| 71 | + 1usize.wrapping_neg(), |
| 72 | + ); |
| 73 | + } |
| 74 | + // Up |
| 75 | + Self::chunk( |
| 76 | + &mut distances, |
| 77 | + &mut closest, |
| 78 | + (WIDTH..WIDTH * WIDTH).rev(), |
| 79 | + WIDTH.wrapping_neg(), |
| 80 | + ); |
| 81 | + |
| 82 | + let mut finite = vec![true; self.locations.len() + 1]; |
| 83 | + finite[0] = false; |
| 84 | + for i in 0..WIDTH { |
| 85 | + finite[closest[i] as usize] = false; |
| 86 | + finite[closest[WIDTH * (WIDTH - 1) + i] as usize] = false; |
| 87 | + finite[closest[WIDTH * i] as usize] = false; |
| 88 | + finite[closest[WIDTH * i + WIDTH - 1] as usize] = false; |
| 89 | + } |
| 90 | + |
| 91 | + let mut counts = vec![0; self.locations.len() + 1]; |
| 92 | + for &c in closest.iter() { |
| 93 | + counts[c as usize] += 1; |
| 94 | + } |
| 95 | + |
| 96 | + counts |
| 97 | + .iter() |
| 98 | + .zip(finite.iter()) |
| 99 | + .filter(|&(_, &i)| i) |
| 100 | + .map(|(&c, _)| c) |
| 101 | + .max() |
| 102 | + .unwrap() |
| 103 | + } |
| 104 | + |
| 105 | + #[inline] |
| 106 | + fn chunk( |
| 107 | + distances: &mut [u16], |
| 108 | + closest: &mut [u8], |
| 109 | + coords: impl Iterator<Item = usize>, |
| 110 | + offset: usize, |
| 111 | + ) { |
| 112 | + for from in coords { |
| 113 | + let to = from.wrapping_add(offset); |
| 114 | + let dist = distances[from].saturating_sub(1); |
| 115 | + if dist > distances[to] { |
| 116 | + distances[to] = dist; |
| 117 | + closest[to] = closest[from]; |
| 118 | + } else if dist == distances[to] && closest[to] != closest[from] { |
| 119 | + closest[to] = 0; |
| 120 | + } |
| 121 | + } |
| 122 | + } |
| 123 | + |
| 124 | + #[must_use] |
| 125 | + pub fn part2(&self) -> u32 { |
| 126 | + let mut x_distances = [0u32; WIDTH]; |
| 127 | + let mut y_distances = [0u32; WIDTH]; |
| 128 | + for location in &self.locations { |
| 129 | + for i in 0..WIDTH { |
| 130 | + x_distances[i] += location.x.abs_diff(i) as u32; |
| 131 | + y_distances[i] += location.y.abs_diff(i) as u32; |
| 132 | + } |
| 133 | + } |
| 134 | + |
| 135 | + let mut region = 0; |
| 136 | + for y_dist in y_distances { |
| 137 | + region += x_distances |
| 138 | + .iter() |
| 139 | + .map(|&x| x + y_dist) |
| 140 | + .filter(|&x| x < self.region_threshold) |
| 141 | + .count() as u32; |
| 142 | + } |
| 143 | + region |
| 144 | + } |
| 145 | +} |
| 146 | + |
| 147 | +examples!(Day06 -> (u32, u32) [ |
| 148 | + {input: "1, 1\n1, 6\n8, 3\n3, 4\n5, 5\n8, 9", part1: 17, part2: 16}, |
| 149 | +]); |
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