Add solution day 16

This commit is contained in:
monoid 2024-12-17 14:22:53 +09:00
parent 65b0a425d2
commit e6488986e5
5 changed files with 396 additions and 0 deletions

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

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import { BinaryHeap } from "jsr:@std/data-structures/binary-heap";
export type Map = string[][];
export async function readMap(path: string): Promise<Map> {
const text = await Deno.readTextFile(path);
return text.trim().split("\n").map((line) => line.trim().split(""));
}
export function displayMap(map: Map): void {
console.log(map.map((line) => line.join("")).join("\n"));
}
export type Position = [number, number];
export type Face = 0 | 1 | 2 | 3;
export type RotateDir = "clockwise" | "counter-clockwise";
export function rotateFace(face: Face, dir: RotateDir): Face {
if (dir === "clockwise") {
return ((face + 1) % 4) as Face;
} else {
return ((face + 3) % 4) as Face;
}
}
export function faceToStr(face: Face): string {
return ["E", "S", "W", "N"][face];
}
export function strToFace(str: string): Face {
const face = ["E", "S", "W", "N"].indexOf(str);
if (face === -1) {
throw new Error(`Invalid face: ${str}`);
}
return face as Face;
}
export function moveForward([x, y]: Position, face: Face): Position {
switch (face) {
case 0: return [x + 1, y];
case 1: return [x, y + 1];
case 2: return [x - 1, y];
case 3: return [x, y - 1];
}
}
// S is start
// E is end
// # is wall
// first face the east
export class Solver {
readonly map: Map;
constructor(map: Map) {
this.map = map;
}
public minCost([x,y]: [number, number], face: Face): number {
const heap = new BinaryHeap<[Position, Face, number]>(
([, , cost1], [, , cost2]) => cost1 - cost2
);
const visited = new Set<string>();
heap.push([[x, y], face, 0]);
while (heap.length > 0) {
const [[x, y], face, cost] = heap.pop()!;
if (this.map[y][x] === "E") {
return cost;
}
if (this.map[y][x] === "#") {
continue;
}
const key = `${x},${y},${face}`;
if (visited.has(key)) {
continue;
}
visited.add(key);
for (const dir of ["clockwise", "counter-clockwise"] as RotateDir[]) {
heap.push([[x, y], rotateFace(face, dir), cost + 1000]);
}
heap.push([moveForward([x, y], face), face, cost + 1]);
}
return -1;
}
findStart(): Position {
for (let y = 0; y < this.map.length; y++) {
for (let x = 0; x < this.map[y].length; x++) {
if (this.map[y][x] === "S") {
return [x, y];
}
}
}
throw new Error("No start found");
}
}
if (import.meta.main) {
const map = await readMap("input.txt");
displayMap(map);
const solver = new Solver(map);
const start = solver.findStart();
console.log(solver.minCost(start, strToFace("E")));
}

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import { BinaryHeap } from "jsr:@std/data-structures/binary-heap";
import {
displayMap,
Face,
moveForward,
Position,
readMap,
RotateDir,
rotateFace,
Solver,
strToFace,
} from "./solve_1.ts";
function moveBackward([x, y]: Position, face: Face): Position {
switch (face) {
case 0:
return [x - 1, y];
case 1:
return [x, y - 1];
case 2:
return [x + 1, y];
case 3:
return [x, y + 1];
}
}
class Solver2 extends Solver {
public getPathBlocks(
[x, y]: [number, number],
face: Face,
): Position[][] {
const heap = new BinaryHeap<[Position, Face, number]>(
([, , cost1], [, , cost2]) => cost1 - cost2,
);
const costMap = new Map<string, number>();
const visited = new Set<string>();
heap.push([[x, y], face, 0]);
let endY = -1, endX = -1, endCost = -1, endFace = -1 as Face;
while (heap.length > 0) {
const [[x, y], face, cost] = heap.pop()!;
const key = `${x},${y},${face}`;
if (this.map[y][x] === "E") {
endY = y;
endX = x;
endCost = cost;
endFace = face;
costMap.set(key, cost);
visited.add(key);
break;
}
if (this.map[y][x] === "#") {
continue;
}
if (visited.has(key)) {
continue;
}
visited.add(key);
costMap.set(key, cost);
for (
const dir of ["clockwise", "counter-clockwise"] as RotateDir[]
) {
heap.push([[x, y], rotateFace(face, dir), cost + 1000]);
}
heap.push([moveForward([x, y], face), face, cost + 1]);
}
if (endY === -1) {
return [];
}
// find the path back to the start
let curX = endX;
let curY = endY;
let curFace = endFace;
let curCost = endCost;
const getPathes = (pos: Position, face: Face, cost: number) => {
const key = `${pos[0]},${pos[1]},${face}`;
if (costMap.get(key) !== cost) {
return [];
}
if (cost < 0) {
return [];
}
if (cost === 0) {
return [[pos]];
}
const pathes: Position[][] = [];
for (
const dir of ["clockwise", "counter-clockwise"] as RotateDir[]
) {
const r = getPathes(pos, rotateFace(face, dir), cost - 1000);
if (r.length > 0) {
pathes.push(...r);
}
}
const ba = getPathes(moveBackward(pos, face), face, cost - 1);
pathes.push(...ba.map((p) => [pos, ...p]));
return pathes;
};
return getPathes([curX, curY], curFace, curCost);
}
}
if (import.meta.main) {
const map = await readMap("input.txt");
displayMap(map);
const solver = new Solver2(map);
const start = solver.findStart();
const pathes = solver.getPathBlocks(start, strToFace("E"));
for (const path of pathes ?? []) {
for (const [x, y] of path) {
map[y][x] = "O";
}
}
displayMap(map);
let count = 0;
for (const row of map) {
for (const cell of row) {
if (cell === "O") {
count++;
}
}
}
console.log(count);
}