feat: day 24

day24/deno.json

@@ -0,0 +1,7 @@
+{
+  "name": "@scope/day24",
+  "version": "0.1.0",
+  "exports": {
+    ".": "./mod.ts"
+  }
+}

day24/example.txt

@@ -0,0 +1,10 @@
+x00: 1
+x01: 1
+x02: 1
+y00: 0
+y01: 1
+y02: 0
+
+x00 AND y00 -> z00
+x01 XOR y01 -> z01
+x02 OR y02 -> z02

day24/mod.ts

@@ -0,0 +1,346 @@
+class Device {
+  input: [string, number][];
+  gates: [string, string, string, string][];
+
+  constructor(
+    input: [string, number][],
+    gates: [string, string, string, string][],
+  ) {
+    this.input = input;
+    this.gates = gates;
+  }
+
+  compute(): bigint {
+    const values = new Map<string, number>();
+    const outputs = new Map<string, [string, string, string]>();
+
+    for (const [wire, value] of this.input) {
+      values.set(wire, value);
+    }
+
+    for (const [a, op, b, wire] of this.gates) {
+      outputs.set(wire, [a, op, b]);
+    }
+
+    const computeWire = (wire: string): number => {
+      if (!values.has(wire)) {
+        const [a, op, b] = outputs.get(wire)!;
+
+        const a_value = computeWire(a);
+        const b_value = computeWire(b);
+
+        switch (op) {
+          case "AND":
+            values.set(wire, a_value & b_value);
+            break;
+          case "OR":
+            values.set(wire, a_value | b_value);
+            break;
+          case "XOR":
+            values.set(wire, a_value ^ b_value);
+            break;
+          default:
+            break;
+        }
+      }
+      return values.get(wire)!;
+    };
+
+    return this.gates.map(([, , , wire]) => wire).filter((wire) =>
+      wire.startsWith("z")
+    ).sort().reverse().map((wire) => computeWire(wire)).reduce(
+      (acc, value) => (acc << 1n) | BigInt(value),
+      0n,
+    );
+  }
+
+  swap(a: string, b: string): void {
+    for (let i = 0; i < this.gates.length; i++) {
+      if (this.gates[i][3] === a) {
+        this.gates[i][3] = b;
+      } else if (this.gates[i][3] === b) {
+        this.gates[i][3] = a;
+      }
+    }
+  }
+
+  maxZVar(): number {
+    return Number(
+      this.gates.map(([, , , wire]) => wire).filter((wire) =>
+        wire.startsWith("z")
+      ).sort().reverse()[0].slice(1),
+    );
+  }
+
+  isValid(): boolean {
+    const visited = new Set<string>();
+
+    const dfs = (wire: string): boolean => {
+      if (visited.has(wire)) {
+        return false;
+      }
+
+      visited.add(wire);
+
+      const [a, , b] = this.gates.find(([, , , w]) => w === wire)!;
+
+      if (!dfs(a) || !dfs(b)) return false;
+
+      visited.delete(wire);
+
+      return true;
+    };
+
+    return dfs(`z${this.maxZVar()}`);
+  }
+
+  getAllDependencies(): Map<string, Set<string>> {
+    const dependencies = new Map<string, Set<string>>();
+
+    for (const [a, , b, wire] of this.gates) {
+      if (!dependencies.has(a)) {
+        dependencies.set(a, new Set());
+      }
+      if (!dependencies.has(b)) {
+        dependencies.set(b, new Set());
+      }
+      if (!dependencies.has(wire)) {
+        dependencies.set(wire, new Set());
+      }
+
+      dependencies.get(wire)!.add(a);
+      dependencies.get(wire)!.add(b);
+      dependencies.get(wire)!.add(wire);
+    }
+
+    // find the closure of the dependencies
+    let changed = true;
+    while (changed) {
+      changed = false;
+      for (const [wire, deps] of dependencies) {
+        for (const dep of deps) {
+          for (const depDep of dependencies.get(dep)!) {
+            if (!deps.has(depDep)) {
+              deps.add(depDep);
+              changed = true;
+            }
+          }
+        }
+      }
+    }
+
+    return dependencies;
+  }
+
+  getIncrementalDependencies(): Map<number, Set<string>> {
+    const allDependencies = this.getAllDependencies();
+
+    const incrementalDependencies = new Map<number, Set<string>>();
+
+    let till = new Set();
+
+    const maxZ = this.maxZVar();
+
+    for (let zn = 0; zn <= maxZ; zn++) {
+      const z = `z${zn.toString().padStart(2, "0")}`;
+      const current = allDependencies.get(z)!;
+      incrementalDependencies.set(
+        zn,
+        new Set(current.values().filter((dep) => !till.has(dep))),
+      );
+      till = new Set([...till, ...current]);
+    }
+
+    return incrementalDependencies;
+  }
+
+  getGatesAtEachLevel(): Map<number, [string, string, string, string][]> {
+    const levels = new Map<number, [string, string, string, string][]>();
+
+    const incrementalDependencies = this.getIncrementalDependencies();
+
+    for (const [a, op, b, w] of this.gates) {
+      const [level] = incrementalDependencies.entries().find(([, wires]) =>
+        wires.has(w)
+      )!;
+      if (!levels.has(level)) {
+        levels.set(level, []);
+      }
+      levels.get(level)!.push([a, op, b, w]);
+    }
+
+    return levels;
+  }
+
+  expectedGates(
+    level: number,
+    maxLevel: number,
+  ): { and: number; or: number; xor: number } {
+    switch (level) {
+      case 0:
+        return { and: 0, or: 0, xor: 1 };
+      case 1:
+        return { and: 1, or: 0, xor: 2 };
+      case maxLevel:
+        return { and: 2, or: 1, xor: 0 };
+      default:
+        return { and: 2, or: 1, xor: 2 };
+    }
+  }
+
+  validLevel(
+    level: number,
+    maxLevel: number,
+    gates: [string, string, string, string][],
+  ): boolean {
+    const expected = this.expectedGates(level, maxLevel);
+    const { and, or, xor } = gates.reduce(
+      (acc, [a, op, b]) => {
+        switch (op) {
+          case "AND":
+            acc.and++;
+            break;
+          case "OR":
+            acc.or++;
+            break;
+          case "XOR":
+            acc.xor++;
+            break;
+          default:
+            break;
+        }
+        return acc;
+      },
+      { and: 0, or: 0, xor: 0 },
+    );
+
+    // there must be one x${level-1} AND x${level-1} gate.
+    if (expected.and > 0 && expected.and === and) {
+      const levelKey = (level - 1).toString().padStart(2, "0");
+      if (
+        gates.filter(([a, op, b]) =>
+          op === "AND" &&
+          ((a === `x${levelKey}` && b === `y${levelKey}`) ||
+            (b === `x${levelKey}` && a === `y${levelKey}`))
+        ).length === 0
+      ) {
+        return false;
+      }
+    }
+
+    // there must be one x${level} XOR x${level} gate.
+    if (expected.xor > 0 && expected.xor === xor) {
+      const levelKey = level.toString().padStart(2, "0");
+      if (
+        gates.filter(([a, op, b]) =>
+          op === "XOR" &&
+          ((a === `x${levelKey}` && b === `y${levelKey}`) ||
+            (b === `x${levelKey}` && a === `y${levelKey}`))
+        ).length === 0
+      ) {
+        return false;
+      }
+    }
+
+    // there must be one XOR with z${level} gate.
+    if (expected.xor > 0 && expected.xor === xor) {
+      const levelKey = level.toString().padStart(2, "0");
+      if (
+        gates.filter(([a, op, b, w]) => op === "XOR" && w === `z${levelKey}`)
+          .length === 0
+      ) {
+        return false;
+      }
+    }
+
+    return and === expected.and && or === expected.or && xor === expected.xor;
+  }
+
+  findBuggyLevels(): number[] {
+    const levels = this.getGatesAtEachLevel();
+    const buggyLevels = [];
+
+    const maxZ = this.maxZVar();
+
+    for (const [level, gates] of levels) {
+      if (!this.validLevel(level, maxZ, gates)) {
+        buggyLevels.push(level);
+      }
+    }
+
+    return buggyLevels.sort();
+  }
+
+  findSwapsAtLevel(levels: number[]): [string, string][] {
+    const gatesAtlevels = this.getGatesAtEachLevel();
+    const swaps = [];
+    const swappedLevels = new Set<number>();
+
+    let nBuggyLevels = levels.length;
+
+    for (let i = 0; i < levels.length; i++) {
+      if (swappedLevels.has(levels[i])) continue;
+      const gatesI = gatesAtlevels.get(levels[i])!;
+      for (let j = i + 1; j < levels.length; j++) {
+        if (swappedLevels.has(levels[j])) continue;
+        const gatesJ = gatesAtlevels.get(levels[j])!;
+        for (
+          const [gateI, gateJ] of gatesI.flatMap((a1) =>
+            gatesJ.map((a2) => [a1, a2])
+          )
+        ) {
+          this.swap(gateI[3], gateJ[3]);
+          const currentBuggyLevels = this.findBuggyLevels();
+          if (nBuggyLevels == currentBuggyLevels.length + 2) {
+            nBuggyLevels = currentBuggyLevels.length;
+            swaps.push([gateI[3], gateJ[3]] as [string, string]);
+            swappedLevels.add(levels[i]);
+            swappedLevels.add(levels[j]);
+            break;
+          } else {
+            this.swap(gateI[3], gateJ[3]);
+          }
+        }
+      }
+    }
+
+    return swaps;
+  }
+
+  findSwaps(): [string, string][] {
+    const buggyLevels = this.findBuggyLevels();
+    return this.findSwapsAtLevel(buggyLevels);
+  }
+}
+
+export function parse(
+  data: string,
+): Device {
+  const [wires, gates] = data.trim().split("\n\n") as [string, string];
+  return new Device(
+    wires.split("\n").map((line) => {
+      const [wire, value] = line.split(": ");
+      return [wire, Number(value)];
+    }),
+    gates.split("\n").map((line) => {
+      const [lhs, rhs] = line.split(" -> ");
+      const [a, op, b] = lhs.split(" ");
+      return [a, op, b, rhs];
+    }),
+  );
+}
+
+export function solve1(data: Device): bigint {
+  return data.compute();
+}
+
+export function solve2(data: Device): string {
+  return data.findSwaps().flat().sort().join(",");
+}
+
+if (import.meta.main) {
+  const dataPath = new URL("input.txt", import.meta.url).pathname;
+  const data = parse(await Deno.readTextFile(dataPath));
+  console.log(solve1(data));
+  console.log(solve2(data));
+}

day24/test.ts

@@ -0,0 +1,9 @@
+import { assertEquals } from "@std/assert";
+import { parse, solve1, solve2 } from "./mod.ts";
+
+Deno.test(async function testExample() {
+  const dataPath = new URL("example.txt", import.meta.url).pathname;
+  const data = parse(await Deno.readTextFile(dataPath));
+  assertEquals(solve1(data), 4n);
+  assertEquals(solve2(data), "");
+});