Day 16
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16/input
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16/input
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Valve AP has flow rate=0; tunnels lead to valves AA, ON
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Valve QN has flow rate=21; tunnels lead to valves RI, CG
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Valve LK has flow rate=0; tunnels lead to valves XM, AA
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Valve HA has flow rate=0; tunnels lead to valves WH, KF
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Valve DS has flow rate=16; tunnel leads to valve II
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Valve KD has flow rate=0; tunnels lead to valves KG, QB
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Valve JW has flow rate=0; tunnels lead to valves AD, KF
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Valve HU has flow rate=0; tunnels lead to valves UK, CO
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Valve AE has flow rate=10; tunnels lead to valves IR, PT, UV
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Valve XA has flow rate=0; tunnels lead to valves CG, EU
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Valve SE has flow rate=17; tunnels lead to valves YR, AD
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Valve TR has flow rate=0; tunnels lead to valves AL, CS
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Valve BS has flow rate=0; tunnels lead to valves YH, XM
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Valve IJ has flow rate=24; tunnels lead to valves XN, WE
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Valve AA has flow rate=0; tunnels lead to valves LK, AP, IZ, PC, QD
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Valve KG has flow rate=0; tunnels lead to valves KD, CS
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Valve QV has flow rate=0; tunnels lead to valves XM, II
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Valve PC has flow rate=0; tunnels lead to valves AA, YF
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Valve GJ has flow rate=20; tunnel leads to valve RI
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Valve UV has flow rate=0; tunnels lead to valves UK, AE
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Valve IR has flow rate=0; tunnels lead to valves EU, AE
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Valve EU has flow rate=13; tunnels lead to valves IR, DT, XA, ON
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Valve ED has flow rate=0; tunnels lead to valves XN, CO
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Valve DT has flow rate=0; tunnels lead to valves EU, UK
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Valve YE has flow rate=0; tunnels lead to valves XM, WS
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Valve AD has flow rate=0; tunnels lead to valves JW, SE
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Valve WE has flow rate=0; tunnels lead to valves IJ, NA
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Valve UK has flow rate=5; tunnels lead to valves UV, DT, QD, HU
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Valve YR has flow rate=0; tunnels lead to valves OS, SE
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Valve II has flow rate=0; tunnels lead to valves QV, DS
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Valve GT has flow rate=0; tunnels lead to valves CS, MN
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Valve YH has flow rate=0; tunnels lead to valves BS, QB
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Valve BQ has flow rate=0; tunnels lead to valves XM, KF
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Valve OS has flow rate=0; tunnels lead to valves YR, NA
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Valve WH has flow rate=0; tunnels lead to valves QB, HA
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Valve QB has flow rate=4; tunnels lead to valves WH, KD, YH, IZ
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Valve ON has flow rate=0; tunnels lead to valves AP, EU
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Valve IZ has flow rate=0; tunnels lead to valves AA, QB
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Valve MN has flow rate=25; tunnel leads to valve GT
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Valve CG has flow rate=0; tunnels lead to valves XA, QN
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Valve QD has flow rate=0; tunnels lead to valves UK, AA
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Valve AL has flow rate=0; tunnels lead to valves KF, TR
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Valve XN has flow rate=0; tunnels lead to valves ED, IJ
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Valve WS has flow rate=0; tunnels lead to valves YE, CS
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Valve CO has flow rate=18; tunnels lead to valves ED, PT, HU
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Valve PT has flow rate=0; tunnels lead to valves CO, AE
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Valve RI has flow rate=0; tunnels lead to valves QN, GJ
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Valve CS has flow rate=9; tunnels lead to valves YF, GT, WS, TR, KG
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Valve YF has flow rate=0; tunnels lead to valves PC, CS
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Valve NA has flow rate=23; tunnels lead to valves OS, WE
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Valve KF has flow rate=12; tunnels lead to valves HA, AL, JW, BQ
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Valve XM has flow rate=3; tunnels lead to valves LK, QV, YE, BS, BQ
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152
16/solution.mjs
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152
16/solution.mjs
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import { readFileSync } from 'node:fs';
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const input = readFileSync('input', 'utf-8');
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const valves = new Map(input
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.split('\n')
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.filter(Boolean)
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.map(line => {
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const valve = line.match(/Valve (\w+)/)[1];
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const rate = parseInt(line.match(/rate=(\d+)/)[1]);
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const to = line.match(/valves? (.*)/)[1].split(', ');
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return [valve, {valve, rate, to}];
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})
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);
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function shortestPath(v, vDest, path=[]) {
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const valve = valves.get(v);
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if (valve.to.includes(vDest)) {
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return [...path, v, vDest];
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}
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return valve.to
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.filter(to => !path.includes(to))
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.map(to => shortestPath(to, vDest, [...path, v]))
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.filter(Boolean)
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.sort((p1, p2) => p1.length - p2.length)[0];
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}
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// Add a property to all valves containing links to all other valves with a
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// flow rate greater than 0 and the time it will take to reach them
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const valvesWithFlow = [...valves.values()]
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.filter(valve => valve.rate > 0);
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for (const valve of valves.values()) {
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valve.usefulTo = valvesWithFlow
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.filter(vDest => vDest.valve !== valve.valve)
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.map(vDest => ({
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valve: vDest.valve,
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time: shortestPath(valve.valve, vDest.valve).length - 1,
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rate: vDest.rate
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}));
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}
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function product(...arrs) {
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if (!arrs.length) return [];
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return arrs.reduce((result, arr) =>
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result.flatMap(r =>
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arr.map(a => [...r, a])
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),
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[[]]
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)
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}
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// General solution for n players
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function solve(players, rate=0) {
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for (const player of players) {
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const valve = valves.get(player.path[player.path.length - 1]);
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if (valve.rate > 0 && !player.opened) {
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player.opened = true;
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player.timeRemaining -= 1;
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rate += valve.rate * Math.max(0, player.timeRemaining);
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}
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}
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// Array of valve names which haven't been visited
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const unvisitedValves = valvesWithFlow
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.map(v => v.valve)
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.filter(valve => !players.find(p => p.path.includes(valve)));
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// Exit conditions
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if (
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unvisitedValves.length === 0 ||
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players.every(player => player.timeRemaining <= 0)
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) {
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return [rate, players];
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}
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// Decide who is moving
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const maxTimeRemaining = players.reduce(
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(max, player) => Math.max(max, player.timeRemaining),
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0
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);
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const movingPlayers = players.filter(
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player => player.timeRemaining === maxTimeRemaining
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);
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const nonMovingPlayers = players.filter(
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player => !movingPlayers.includes(player)
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);
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const playerMoves = product(...movingPlayers
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.map(player => {
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const valve = valves.get(player.path[player.path.length - 1]);
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const destinations = valve.usefulTo
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.filter(to => unvisitedValves.includes(to.valve))
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.filter((to, _, tos) => !tos.find((otherTo) =>
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otherTo.rate > to.rate &&
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otherTo.time <= to.time
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));
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if (destinations.length < movingPlayers.length) {
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destinations.push(undefined);
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}
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return destinations;
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})
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).filter(moves => {
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const valves = moves.filter(Boolean).map(to => to.valve);
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return (
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valves.length !== 0 &&
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new Set(valves).size === valves.length
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);
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});
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return playerMoves
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.map(moves => {
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const movedPlayers = moves.map((to, i) => {
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const player = movingPlayers[i];
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if (to === undefined) {
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// Not moving
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return player;
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}
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return {
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timeRemaining: player.timeRemaining - to.time,
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opened: false,
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path: [...player.path, to.valve]
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};
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});
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return solve([...nonMovingPlayers, ...movedPlayers], rate);
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})
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.filter(Boolean)
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.sort(([rate1], [rate2]) => rate2 - rate1)[0];
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}
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const solution1 = solve([{
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timeRemaining: 30,
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opened: false,
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path: ['AA']
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}]);
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console.log(`Max pressure released in 30 minutes: ${solution1[0]}`);
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const solution2 = solve([{
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timeRemaining: 26,
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opened: false,
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path: ['AA']
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}, {
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timeRemaining: 26,
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opened: false,
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path: ['AA']
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}]);
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console.log(`Max pressure released with elephant: ${solution2[0]}`);
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