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| 1 | +//! # Reservoir Research |
| 2 | +//! |
| 3 | +//! Starting from the spring, recursively works out the kind of each tile, memoizing values for |
| 4 | +//! efficiency. Tiles are one of 3 kinds: |
| 5 | +//! |
| 6 | +//! * `Sand` Indicates a tile of unknown type. |
| 7 | +//! * `Moving` Flowing water. |
| 8 | +//! * `Stopped` Either clay tile or water that has settled. |
| 9 | +//! |
| 10 | +//! This problem is similar to [Year 2022 Day 14]. |
| 11 | +//! |
| 12 | +//! [Year 2022 Day 14]: crate::year2022::day14 |
| 13 | +use crate::util::iter::*; |
| 14 | +use crate::util::parse::*; |
| 15 | +use Kind::*; |
| 16 | + |
| 17 | +#[derive(Clone, Copy, PartialEq, Eq)] |
| 18 | +enum Kind { |
| 19 | + Sand, |
| 20 | + Moving, |
| 21 | + Stopped, |
| 22 | +} |
| 23 | + |
| 24 | +pub struct Scan { |
| 25 | + width: usize, |
| 26 | + top: usize, |
| 27 | + bottom: usize, |
| 28 | + kind: Vec<Kind>, |
| 29 | + moving: usize, |
| 30 | + stopped: usize, |
| 31 | +} |
| 32 | + |
| 33 | +pub fn parse(input: &str) -> Scan { |
| 34 | + let first = input.lines().map(|line| line.as_bytes()[0]); |
| 35 | + let second = input.iter_unsigned::<usize>().chunk::<3>(); |
| 36 | + let clay: Vec<_> = first.zip(second).collect(); |
| 37 | + |
| 38 | + // Find boundaries of the 2D scan. |
| 39 | + let mut min_x = usize::MAX; |
| 40 | + let mut max_x = 0; |
| 41 | + let mut min_y = usize::MAX; |
| 42 | + let mut max_y = 0; |
| 43 | + |
| 44 | + for &(direction, triple) in &clay { |
| 45 | + let (x1, x2, y1, y2) = if direction == b'x' { |
| 46 | + let [x, y1, y2] = triple; |
| 47 | + (x, x, y1, y2) |
| 48 | + } else { |
| 49 | + let [y, x1, x2] = triple; |
| 50 | + (x1, x2, y, y) |
| 51 | + }; |
| 52 | + |
| 53 | + min_x = min_x.min(x1); |
| 54 | + max_x = max_x.max(x2); |
| 55 | + min_y = min_y.min(y1); |
| 56 | + max_y = max_y.max(y2); |
| 57 | + } |
| 58 | + |
| 59 | + // Leave room for water on either side. |
| 60 | + let width = max_x - min_x + 3; |
| 61 | + let top = width * min_y; |
| 62 | + let bottom = width * (max_y + 1); |
| 63 | + let mut kind = vec![Sand; bottom]; |
| 64 | + |
| 65 | + // Draw each of the clay veins. |
| 66 | + for (direction, triple) in clay { |
| 67 | + if direction == b'x' { |
| 68 | + let [x, y1, y2] = triple; |
| 69 | + for y in y1..y2 + 1 { |
| 70 | + kind[(width * y) + (x - min_x + 1)] = Stopped; |
| 71 | + } |
| 72 | + } else { |
| 73 | + let [y, x1, x2] = triple; |
| 74 | + for x in x1..x2 + 1 { |
| 75 | + kind[(width * y) + (x - min_x + 1)] = Stopped; |
| 76 | + } |
| 77 | + } |
| 78 | + } |
| 79 | + |
| 80 | + let mut scan = Scan { width, top, bottom, kind, moving: 0, stopped: 0 }; |
| 81 | + flow(&mut scan, 500 - min_x + 1); |
| 82 | + scan |
| 83 | +} |
| 84 | + |
| 85 | +pub fn part1(input: &Scan) -> usize { |
| 86 | + input.moving + input.stopped |
| 87 | +} |
| 88 | + |
| 89 | +pub fn part2(input: &Scan) -> usize { |
| 90 | + input.stopped |
| 91 | +} |
| 92 | + |
| 93 | +/// Recursively work out the kind of each tile, memoizing values for efficiency. |
| 94 | +fn flow(scan: &mut Scan, index: usize) -> Kind { |
| 95 | + if index >= scan.bottom { |
| 96 | + // Water has gone past the lowest clay tiles, so will fall for infinity. |
| 97 | + Moving |
| 98 | + } else if scan.kind[index] != Sand { |
| 99 | + // Return memoized value. |
| 100 | + scan.kind[index] |
| 101 | + } else if flow(scan, index + scan.width) == Moving { |
| 102 | + // Tile underneath is moving, so this tile must be moving too. |
| 103 | + scan.kind[index] = Moving; |
| 104 | + if index >= scan.top { |
| 105 | + scan.moving += 1; |
| 106 | + } |
| 107 | + Moving |
| 108 | + } else { |
| 109 | + // Tile is stopped (either clay or still water) so water flows both left and right. |
| 110 | + let mut left = index; |
| 111 | + let mut right = index; |
| 112 | + |
| 113 | + while scan.kind[left - 1] == Sand && flow(scan, left + scan.width) == Stopped { |
| 114 | + left -= 1; |
| 115 | + } |
| 116 | + |
| 117 | + while scan.kind[right + 1] == Sand && flow(scan, right + scan.width) == Stopped { |
| 118 | + right += 1; |
| 119 | + } |
| 120 | + |
| 121 | + if scan.kind[left - 1] == Stopped && scan.kind[right + 1] == Stopped { |
| 122 | + for index in left..right + 1 { |
| 123 | + scan.kind[index] = Stopped; |
| 124 | + } |
| 125 | + if index >= scan.top { |
| 126 | + scan.stopped += right + 1 - left; |
| 127 | + } |
| 128 | + Stopped |
| 129 | + } else { |
| 130 | + for index in left..right + 1 { |
| 131 | + scan.kind[index] = Moving; |
| 132 | + } |
| 133 | + if index >= scan.top { |
| 134 | + scan.moving += right + 1 - left; |
| 135 | + } |
| 136 | + Moving |
| 137 | + } |
| 138 | + } |
| 139 | +} |
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