Solutions for 2022, as well as 2015-2018 and 2019 up to day 11

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Chris Alge 2023-03-12 15:20:02 +01:00
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[package]
name = "day10_monitoring_station"
version = "0.1.0"
edition = "2021"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[dependencies]

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You fly into the asteroid belt and reach the Ceres monitoring station. The Elves here have an emergency: they're having trouble tracking all of the asteroids and can't be sure they're safe.
The Elves would like to build a new monitoring station in a nearby area of space; they hand you a map of all of the asteroids in that region (your puzzle input).
The map indicates whether each position is empty (`.`) or contains an asteroid (`#`). The asteroids are much smaller than they appear on the map, and every asteroid is exactly in the center of its marked position. The asteroids can be described with `X,Y` coordinates where `X` is the distance from the left edge and `Y` is the distance from the top edge (so the top-left corner is `0,0` and the position immediately to its right is `1,0`).
Your job is to figure out which asteroid would be the best place to build a *new monitoring station*. A monitoring station can *detect* any asteroid to which it has *direct line of sight* - that is, there cannot be another asteroid *exactly* between them. This line of sight can be at any angle, not just lines aligned to the grid or diagonally. The *best* location is the asteroid that can *detect* the largest number of other asteroids.
For example, consider the following map:
```
.#..#
.....
#####
....#
...##
```
The best location for a new monitoring station on this map is the highlighted asteroid at `3,4` because it can detect `8` asteroids, more than any other location. (The only asteroid it cannot detect is the one at `1,0`; its view of this asteroid is blocked by the asteroid at `2,2`.) All other asteroids are worse locations; they can detect `7` or fewer other asteroids. Here is the number of other asteroids a monitoring station on each asteroid could detect:
```
.7..7
.....
67775
....7
...87
```
Here is an asteroid (`#`) and some examples of the ways its line of sight might be blocked. If there were another asteroid at the location of a capital letter, the locations marked with the corresponding lowercase letter would be blocked and could not be detected:
```
#.........
...A......
...B..a...
.EDCG....a
..F.c.b...
.....c....
..efd.c.gb
.......c..
....f...c.
...e..d..c
```
Here are some larger examples:
* Best is `5,8` with `33` other asteroids detected:
```
......#.#.
#..#.#....
..#######.
.#.#.###..
.#..#.....
..#....#.#
#..#....#.
.##.#..###
##...#..#.
.#....####
```
* Best is `1,2` with `35` other asteroids detected:
```
#.#...#.#.
.###....#.
.#....#...
##.#.#.#.#
....#.#.#.
.##..###.#
..#...##..
..##....##
......#...
.####.###.
```
* Best is `6,3` with `41` other asteroids detected:
```
.#..#..###
####.###.#
....###.#.
..###.##.#
##.##.#.#.
....###..#
..#.#..#.#
#..#.#.###
.##...##.#
.....#.#..
```
* Best is `11,13` with `210` other asteroids detected:
```
.#..##.###...#######
##.############..##.
.#.######.########.#
.###.#######.####.#.
#####.##.#.##.###.##
..#####..#.#########
####################
#.####....###.#.#.##
##.#################
#####.##.###..####..
..######..##.#######
####.##.####...##..#
.#####..#.######.###
##...#.##########...
#.##########.#######
.####.#.###.###.#.##
....##.##.###..#####
.#.#.###########.###
#.#.#.#####.####.###
###.##.####.##.#..##
```
Find the best location for a new monitoring station. *How many other asteroids can be detected from that location?*
Your puzzle answer was `263`.
\--- Part Two ---
----------
Once you give them the coordinates, the Elves quickly deploy an Instant Monitoring Station to the location and discover the worst: there are simply too many asteroids.
The only solution is *complete vaporization by giant laser*.
Fortunately, in addition to an asteroid scanner, the new monitoring station also comes equipped with a giant rotating laser perfect for vaporizing asteroids. The laser starts by pointing *up* and always rotates *clockwise*, vaporizing any asteroid it hits.
If multiple asteroids are *exactly* in line with the station, the laser only has enough power to vaporize *one* of them before continuing its rotation. In other words, the same asteroids that can be *detected* can be vaporized, but if vaporizing one asteroid makes another one detectable, the newly-detected asteroid won't be vaporized until the laser has returned to the same position by rotating a full 360 degrees.
For example, consider the following map, where the asteroid with the new monitoring station (and laser) is marked `X`:
```
.#....#####...#..
##...##.#####..##
##...#...#.#####.
..#.....X...###..
..#.#.....#....##
```
The first nine asteroids to get vaporized, in order, would be:
```
.#....###24...#..
##...##.13#67..9#
##...#...5.8####.
..#.....X...###..
..#.#.....#....##
```
Note that some asteroids (the ones behind the asteroids marked `1`, `5`, and `7`) won't have a chance to be vaporized until the next full rotation. The laser continues rotating; the next nine to be vaporized are:
```
.#....###.....#..
##...##...#.....#
##...#......1234.
..#.....X...5##..
..#.9.....8....76
```
The next nine to be vaporized are then:
```
.8....###.....#..
56...9#...#.....#
34...7...........
..2.....X....##..
..1..............
```
Finally, the laser completes its first full rotation (`1` through `3`), a second rotation (`4` through `8`), and vaporizes the last asteroid (`9`) partway through its third rotation:
```
......234.....6..
......1...5.....7
.................
........X....89..
.................
```
In the large example above (the one with the best monitoring station location at `11,13`):
* The 1st asteroid to be vaporized is at `11,12`.
* The 2nd asteroid to be vaporized is at `12,1`.
* The 3rd asteroid to be vaporized is at `12,2`.
* The 10th asteroid to be vaporized is at `12,8`.
* The 20th asteroid to be vaporized is at `16,0`.
* The 50th asteroid to be vaporized is at `16,9`.
* The 100th asteroid to be vaporized is at `10,16`.
* The 199th asteroid to be vaporized is at `9,6`.
* *The 200th asteroid to be vaporized is at `8,2`.*
* The 201st asteroid to be vaporized is at `10,9`.
* The 299th and final asteroid to be vaporized is at `11,1`.
The Elves are placing bets on which will be the *200th* asteroid to be vaporized. Win the bet by determining which asteroid that will be; *what do you get if you multiply its X coordinate by `100` and then add its Y coordinate?* (For example, `8,2` becomes *`802`*.)
Your puzzle answer was `1110`.
Both parts of this puzzle are complete! They provide two gold stars: \*\*
At this point, you should [return to your Advent calendar](/2019) and try another puzzle.
If you still want to see it, you can [get your puzzle input](10/input).

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use std::cmp::Ordering;
use std::collections::BTreeSet;
#[derive(PartialEq, Eq)]
struct RationalAngle {
upper_half: bool,
divident: isize,
divisor: usize,
}
impl From<(isize, isize)> for RationalAngle {
fn from((x, y): (isize, isize)) -> Self {
let upper_half = x < 0;
let divident = y.signum() * x / gcd(x, y);
let divisor = (y / gcd(x, y)).unsigned_abs();
Self {
upper_half,
divident,
divisor,
}
}
}
impl PartialOrd for RationalAngle {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
match (self.upper_half, other.upper_half) {
(true, false) => Some(Ordering::Greater),
(false, true) => Some(Ordering::Less),
_ => match (self. divident as f64 / self.divisor as f64) - (other.divident as f64 / other.divisor as f64) {
n if n < 0.0 => Some(Ordering::Greater),
p if p > 0.0 => Some(Ordering::Less),
_ => Some(Ordering::Equal),
}
}
}
}
impl Ord for RationalAngle {
fn cmp(&self, other: &Self) -> Ordering {
self.partial_cmp(other).unwrap()
}
}
impl RationalAngle {
fn from_vector(source: (usize, usize), dest: (usize, usize)) -> Self {
let x = dest.0 as isize - source.0 as isize;
let y = dest.1 as isize - source.1 as isize;
Self::from((x, y))
}
}
pub fn run(input: &str) -> (usize, usize) {
let asteroids: Vec<(usize, usize)> = input.lines().enumerate().flat_map(|(y, line)| line.chars().enumerate().filter(|(_x, c)| *c == '#').map(|(x, _c)| (x, y)).collect::<Vec<_>>()).collect();
// let mut angles: Vec<Vec<(isize, isize)>> = asteroids.iter().map(|a| asteroids.iter().filter(|other| *other != a).map(|other| reduced_angle(*a, *other)).collect()).collect();
let mut angles: Vec<BTreeSet<RationalAngle>> = asteroids.iter().map(|a| asteroids.iter().filter(|other| *other != a).map(|other| RationalAngle::from_vector(*a, *other)).collect()).collect();
// for asteroid in angles.iter_mut() {
// asteroid.sort_by(rotation_sort);
// asteroid.dedup();
// }
let (idx, first) = angles.iter().enumerate().max_by_key(|(_idx, a)| a.len()).unwrap();
let angle = first.iter().nth(199).unwrap();
let second = (0, 0);
// let second = (1..).map(|i| ((asteroids[idx].0 as isize + i * angle.divident) as usize, (asteroids[idx].1 as isize + i * angle.divisor as isize) as usize))
// .find(|a| asteroids.contains(a))
// .unwrap();
(first.len(), (second.0*100 + second.1))
}
fn rotation_sort(lhs: &(isize, isize), rhs: &(isize, isize)) -> Ordering {
if lhs == rhs {
return Ordering::Equal;
}
match (lhs.0.signum(), rhs.0.signum()) {
(-1, 1) => Ordering::Greater,
(1, -1) => Ordering::Less,
(0, -1) =>Ordering::Less,
(-1, 0) => Ordering::Greater,
(0, 1) => if lhs.1.signum() == 1 { Ordering::Less } else { Ordering::Greater },
(1, 0) => if rhs.1.signum() == 1 { Ordering::Greater } else { Ordering::Less },
(0, 0) => match (lhs.1.signum(), rhs.1.signum()) {
(1, 1) | (-1, -1) => Ordering::Equal,
(1, -1) => Ordering::Less,
(-1, 1) => Ordering::Greater,
_ => panic!("Unable to sort {lhs:?} and {rhs:?}"),
},
_ => match (lhs.1.signum(), rhs.1.signum()) {
(1, 1) | (-1, -1) => match (lhs.0 as f64 / lhs.1 as f64) - (rhs.0 as f64 / rhs.1 as f64) {
n if n < 0.0 => Ordering::Greater,
p if p > 0.0 => Ordering::Less,
_ => panic!("Unexpected sorting of {lhs:?} and {rhs:?}: Equal"),
},
_ => (lhs.0.signum()*lhs.1.signum()).cmp(&(lhs.0.signum()*rhs.1.signum()))
},
}
}
fn gcd(lhs: isize, rhs: isize) -> isize {
if lhs == 0 {
return rhs.abs();
} else if rhs == 0 {
return lhs.abs();
}
let a = lhs.abs();
let b = rhs.abs();
(1..=a.min(b)).rev().find(|i| a%i == 0 && b%i == 0).unwrap()
}
fn reduced_angle(lhs: (usize, usize), rhs: (usize, usize)) -> (isize, isize) {
let x = rhs.0 as isize - lhs.0 as isize;
let y = rhs.1 as isize - lhs.1 as isize;
(x/gcd(x,y), y/gcd(x,y))
}
#[cfg(test)]
mod tests {
use super::*;
use std::fs::read_to_string;
fn read_file(name: &str) -> String {
read_to_string(name).expect(&format!("Unable to read file: {name}")[..]).trim().to_string()
}
// #[test]
// fn test_sample() {
// let sample_input = read_file("tests/sample_input");
// assert_eq!(run(&sample_input), (33, 0));
// }
#[test]
fn test_challenge() {
let challenge_input = read_file("tests/challenge_input");
assert_eq!(run(&challenge_input), (263, 1110));
}
}

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.#..#..##.#...###.#............#.
.....#..........##..#..#####.#..#
#....#...#..#.......#...........#
.#....#....#....#.#...#.#.#.#....
..#..#.....#.......###.#.#.##....
...#.##.###..#....#........#..#.#
..#.##..#.#.#...##..........#...#
..#..#.......................#..#
...#..#.#...##.#...#.#..#.#......
......#......#.....#.............
.###..#.#..#...#..#.#.......##..#
.#...#.................###......#
#.#.......#..####.#..##.###.....#
.#.#..#.#...##.#.#..#..##.#.#.#..
##...#....#...#....##....#.#....#
......#..#......#.#.....##..#.#..
##.###.....#.#.###.#..#..#..###..
#...........#.#..#..#..#....#....
..........#.#.#..#.###...#.....#.
...#.###........##..#..##........
.###.....#.#.###...##.........#..
#.#...##.....#.#.........#..#.###
..##..##........#........#......#
..####......#...#..........#.#...
......##...##.#........#...##.##.
.#..###...#.......#........#....#
...##...#..#...#..#..#.#.#...#...
....#......#.#............##.....
#......####...#.....#...#......#.
...#............#...#..#.#.#..#.#
.#...#....###.####....#.#........
#.#...##...#.##...#....#.#..##.#.
.#....#.###..#..##.#.##...#.#..##

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......#.#.
#..#.#....
..#######.
.#.#.###..
.#..#.....
..#....#.#
#..#....#.
.##.#..###
##...#..#.
.#....####