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/* Copyright 2023 Mario Finelli
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
//! Advent of Code 2023 Day 8: <https://adventofcode.com/2023/day/8>
//!
//! Today's challenge part one was fairly easy. Part two was not that much
//! more difficult to extend but the long cycles meant that the brute-force
//! answer would take too long to compute. Instead, knowing that there are
//! cycles (because of the way that the Advent of Code inputs are crafted,
//! this wouldn't necessarily work on an arbitrary input) we can instead just
//! compute the length of each cycle and then least-common-multiple them all
//! together to get the total number of steps (this is the point where all of
//! the cycles have synced-up and are all on a room ending in "Z").
use crate::util;
use regex::Regex;
use std::collections::HashMap;
/// The solution for the day eight challenge.
///
/// We take the input as a string and the part we're solving as an integer.
/// The solution otherwise remains the same, we just use a single starting room
/// in our vector of starting rooms if we're in part one (the room `AAA`) and
/// otherwise all of the rooms that end in `A`. We start by parsing the input
/// and build a [`std::collections::HashMap`] of the rooms and their left and
/// right connections. Then, for each of our starting rooms we loop until we're
/// in the ending room (in part one the room `ZZZ` and in part two the room
/// ending in `Z`). If we're not in the ending room then we take the next
/// instruction and change to the next room, keeping track of how many steps
/// we've taken. Once we've computed the steps for all of the starting rooms we
/// LCM them together to get our final answer.
///
/// # Example
/// ```rust
/// # use aoc::y23d08::y23d08;
/// // probably read this from the input file...
/// let input = "LRR\n\n(AAA) = (ZZZ, XXX)";
/// assert_eq!(y23d08(input, 1), 1);
/// assert_eq!(y23d08(input, 2), 1);
/// ```
pub fn y23d08(input: &str, part: u32) -> u64 {
let lines: Vec<_> = input.lines().collect();
let room_regex =
Regex::new(r"^([A-Z0-9]{3}) = \(([A-Z0-9]{3}), ([A-Z0-9]{3})\)$")
.unwrap();
let mut instructions = lines[0].chars().cycle();
let mut rooms = HashMap::new();
for (i, line) in lines.iter().enumerate() {
if i <= 1 {
continue;
}
if let Some(captures) = room_regex.captures(line) {
rooms.insert(
captures[1].to_string(),
(captures[2].to_string(), captures[3].to_string()),
);
}
}
let starting_rooms: Vec<&String> = if part == 1 {
rooms.keys().filter(|r| *r == "AAA").collect()
} else {
rooms.keys().filter(|r| r.ends_with('A')).collect()
};
let mut all_steps = Vec::new();
for starting_room in starting_rooms {
let mut steps = 0;
let mut current_room = starting_room;
loop {
if (part == 1 && current_room == "ZZZ")
|| (part == 2 && current_room.ends_with('Z'))
{
break;
}
steps += 1;
let (left, right) = rooms.get(current_room).unwrap();
match instructions.next().unwrap() {
'L' => current_room = left,
'R' => current_room = right,
_ => panic!("invalid instruction"),
};
}
all_steps.push(steps);
}
let mut lcm = 1;
for steps in all_steps {
lcm = util::lcm(steps, lcm);
}
lcm
}
#[cfg(test)]
mod tests {
use super::*;
use std::fs;
#[test]
fn it_works() {
let mut input = concat!(
"RL\n",
"\n",
"AAA = (BBB, CCC)\n",
"BBB = (DDD, EEE)\n",
"CCC = (ZZZ, GGG)\n",
"DDD = (DDD, DDD)\n",
"EEE = (EEE, EEE)\n",
"GGG = (GGG, GGG)\n",
"ZZZ = (ZZZ, ZZZ)\n",
);
assert_eq!(y23d08(input, 1), 2);
input = concat!(
"LLR\n",
"\n",
"AAA = (BBB, BBB)\n",
"BBB = (AAA, ZZZ)\n",
"ZZZ = (ZZZ, ZZZ)\n",
);
assert_eq!(y23d08(input, 1), 6);
input = concat!(
"LR\n",
"\n",
"11A = (11B, XXX)\n",
"11B = (XXX, 11Z)\n",
"11Z = (11B, XXX)\n",
"22A = (22B, XXX)\n",
"22B = (22C, 22C)\n",
"22C = (22Z, 22Z)\n",
"22Z = (22B, 22B)\n",
"XXX = (XXX, XXX)\n",
);
assert_eq!(y23d08(input, 2), 6);
}
#[test]
fn the_solution() {
let contents = fs::read_to_string("input/2023/day08.txt").unwrap();
assert_eq!(y23d08(&contents, 1), 19783);
assert_eq!(y23d08(&contents, 2), 9177460370549);
}
}