Day 21 (late; I got filtered)

This commit is contained in:
sepia 2024-12-22 23:37:23 -06:00
parent 9df3c2662d
commit 3ca6745fb1
3 changed files with 275 additions and 2 deletions

271
src/day21.rs Normal file
View File

@ -0,0 +1,271 @@
use crate::util::maps::Direction;
use std::collections::HashMap;
const DPADS: usize = 25;
pub fn day21() {
let sequences: Vec<String> = crate::input(21).lines().map(|l| l.to_string()).collect();
let mut memo: HashMap<(String, usize), u64> = HashMap::new();
fn deeper(s: String, depth: usize, memo: &mut HashMap<(String, usize), u64>) -> u64 {
// if this is already in deep lut, return
if let Some(&expanded_size) = memo.get(&(s.to_string(), depth)) {
return expanded_size;
}
// if this is two characters at the end, add expanded size to deep lut, and return
if depth == 1 {
let expanded_size = expand_dpad_string(&s).len() as u64;
memo.insert((s, depth), expanded_size);
return expanded_size;
}
// otherwise 1. expand, 2. split into substrings, and 3. recur for each substring
let expanded = expand_dpad_string(&s);
// 2. get substrings split by A (but including the A characters at the end of each substring)
let substrings: Vec<String> = expanded
.split_terminator("A")
.map(|substring| {
let mut substring = substring.to_string();
substring.push_str("A");
substring
})
.collect();
let mut total: u64 = 0;
for substring in substrings {
let final_expanded_size = deeper(substring, depth - 1, memo);
total += final_expanded_size;
}
memo.insert((s, depth), total);
total
}
let mut complexity: u64 = 0;
for sequence in sequences.iter() {
let first_dpad_steps = expand_numpad_string(sequence);
let length = deeper(first_dpad_steps.clone(), DPADS, &mut memo);
let numeric = sequence
.chars()
.filter(|c| c.is_numeric())
.collect::<String>()
.parse::<u64>()
.unwrap();
complexity += length * numeric;
}
println!("Total Complexity: {}", complexity);
}
fn expand_dpad_string(s: &str) -> String {
let sequence: Vec<usize> = s.chars().map(char_to_directional_keypad_index).collect();
sequence_to_dpad_steps(
&directional_keypad(),
sequence,
char_to_directional_keypad_index('A'),
)
}
fn expand_numpad_string(s: &str) -> String {
let sequence: Vec<usize> = s.chars().map(char_to_numerical_keypad_index).collect();
sequence_to_dpad_steps(
&numerical_keypad(),
sequence,
char_to_numerical_keypad_index('A'),
)
}
fn sequence_to_dpad_steps(keypad: &Keypad, sequence: Vec<usize>, start: usize) -> String {
let mut sequence = sequence.clone();
sequence.insert(0, start);
let mut total_path = "".to_string();
for w in sequence.windows(2) {
let best_path = shortest_paths(keypad, w[0], w[1])
.into_iter()
// convert paths to strings
.map(|path| path.iter().map(direction_to_char).collect::<String>())
// get the most efficient path (there are certain arbitrary rules for efficiency)
.max_by_key(|path| efficiency_score(path.as_str()))
.unwrap();
total_path.push_str(&best_path);
total_path.push_str("A");
}
total_path
}
fn shortest_paths(keypad: &Keypad, start: usize, end: usize) -> Vec<Vec<Direction>> {
fn path_costs(keypad: &Keypad, p: usize, cost_so_far: u64, costs: &mut HashMap<usize, u64>) {
if cost_so_far < costs.get(&p).copied().unwrap_or(u64::MAX) {
costs.insert(p, cost_so_far);
} else {
return;
}
for &adjacent in keypad.adjacents(p) {
path_costs(keypad, adjacent, cost_so_far + 1, costs);
}
}
let mut costs: HashMap<usize, u64> = HashMap::new();
path_costs(keypad, end, 0, &mut costs);
fn find_paths(
keypad: &Keypad,
start: usize,
costs: &HashMap<usize, u64>,
) -> Vec<Vec<Direction>> {
if costs[&start] == 0 {
return vec![vec![]];
}
keypad.buttons[start]
.links
.iter()
.filter(|(_, adjacent)| costs[adjacent] < costs[&start])
.flat_map(|(&direction, &adjacent)| {
let mut paths = find_paths(keypad, adjacent, costs);
paths.iter_mut().for_each(|path| {
path.insert(0, direction);
});
paths
})
.collect()
}
find_paths(keypad, start, &costs)
}
fn efficiency_score(s: &str) -> u64 {
let repetition_score = s
.chars()
.collect::<Vec<char>>()
.windows(2)
.filter(|w| w[0] == w[1])
.count() as u64;
let mut order_mishaps: u64 = 0;
for ss in s.split("A") {
order_mishaps += ss.matches(">v").count() as u64;
order_mishaps += ss.matches("^<").count() as u64;
order_mishaps += ss.matches("v<").count() as u64;
order_mishaps += ss.matches(">^").count() as u64;
}
(repetition_score << 32) | (u32::MAX as u64 - order_mishaps)
}
struct Keypad {
buttons: Vec<Button>,
}
impl Keypad {
fn adjacents(&self, button: usize) -> impl Iterator<Item = &usize> {
self.buttons[button].links.values()
}
}
#[derive(Default, Clone)]
struct Button {
links: HashMap<Direction, usize>,
}
fn char_to_numerical_keypad_index(c: char) -> usize {
match c {
'7' => 0,
'8' => 1,
'9' => 2,
'4' => 3,
'5' => 4,
'6' => 5,
'1' => 6,
'2' => 7,
'3' => 8,
'0' => 9,
'A' => 10,
_ => panic!("The given char {c} has no place on a numerical keypad."),
}
}
fn char_to_directional_keypad_index(c: char) -> usize {
match c {
'^' => 0,
'A' => 1,
'<' => 2,
'v' => 3,
'>' => 4,
_ => panic!("The given char {c} has no place on a directional keypad."),
}
}
fn numerical_keypad() -> Keypad {
let mut buttons = vec![Button::default(); 11];
// 7
buttons[0].links.insert(Direction::East, 1);
buttons[0].links.insert(Direction::South, 3);
// 8
buttons[1].links.insert(Direction::West, 0);
buttons[1].links.insert(Direction::East, 2);
buttons[1].links.insert(Direction::South, 4);
// 9
buttons[2].links.insert(Direction::West, 1);
buttons[2].links.insert(Direction::South, 5);
// 4
buttons[3].links.insert(Direction::East, 4);
buttons[3].links.insert(Direction::North, 0);
buttons[3].links.insert(Direction::South, 6);
// 5
buttons[4].links.insert(Direction::West, 3);
buttons[4].links.insert(Direction::East, 5);
buttons[4].links.insert(Direction::South, 7);
buttons[4].links.insert(Direction::North, 1);
// 6
buttons[5].links.insert(Direction::West, 4);
buttons[5].links.insert(Direction::South, 8);
buttons[5].links.insert(Direction::North, 2);
// 1
buttons[6].links.insert(Direction::North, 3);
buttons[6].links.insert(Direction::East, 7);
// 2
buttons[7].links.insert(Direction::West, 6);
buttons[7].links.insert(Direction::East, 8);
buttons[7].links.insert(Direction::North, 4);
buttons[7].links.insert(Direction::South, 9);
// 3
buttons[8].links.insert(Direction::North, 5);
buttons[8].links.insert(Direction::West, 7);
buttons[8].links.insert(Direction::South, 10);
// 0
buttons[9].links.insert(Direction::North, 7);
buttons[9].links.insert(Direction::East, 10);
// A
buttons[10].links.insert(Direction::West, 9);
buttons[10].links.insert(Direction::North, 8);
Keypad { buttons }
}
fn directional_keypad() -> Keypad {
let mut buttons = vec![Button::default(); 5];
// ^
buttons[0].links.insert(Direction::East, 1);
buttons[0].links.insert(Direction::South, 3);
// A
buttons[1].links.insert(Direction::West, 0);
buttons[1].links.insert(Direction::South, 4);
// <
buttons[2].links.insert(Direction::East, 3);
// v
buttons[3].links.insert(Direction::East, 4);
buttons[3].links.insert(Direction::North, 0);
buttons[3].links.insert(Direction::West, 2);
// >
buttons[4].links.insert(Direction::North, 1);
buttons[4].links.insert(Direction::West, 3);
Keypad { buttons }
}
fn direction_to_char(direction: &Direction) -> char {
match direction {
Direction::North => '^',
Direction::South => 'v',
Direction::West => '<',
Direction::East => '>',
}
}

View File

@ -24,7 +24,9 @@ mod day18;
mod day19;
#[allow(dead_code)]
mod day2;
#[allow(dead_code)]
mod day20;
mod day21;
#[allow(dead_code)]
mod day3;
#[allow(dead_code)]
@ -41,7 +43,7 @@ mod day8;
mod day9;
fn main() {
day20::day20();
day21::day21();
}
pub fn input(day: u8) -> String {

View File

@ -1,4 +1,4 @@
use std::{fmt::Display, intrinsics::atomic_cxchgweak_acquire_acquire};
use std::fmt::Display;
use itertools::Itertools;