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"jsr:@std/assert"; +import { makeTopologySortOrder, readFormat } from "./solve_1.ts"; + +Deno.test("readFormat", async () => { + const path = new URL("example.txt", import.meta.url).pathname; + const actual = await readFormat(path); + const expected = { + order: [ + { left: 47, right: 53 }, + { left: 97, right: 13 }, + { left: 97, right: 61 }, + { left: 97, right: 47 }, + { left: 75, right: 29 }, + { left: 61, right: 13 }, + { left: 75, right: 53 }, + { left: 29, right: 13 }, + { left: 97, right: 29 }, + { left: 53, right: 29 }, + { left: 61, right: 53 }, + { left: 97, right: 53 }, + { left: 61, right: 29 }, + { left: 47, right: 13 }, + { left: 75, right: 47 }, + { left: 97, right: 75 }, + { left: 47, right: 61 }, + { left: 75, right: 61 }, + { left: 47, right: 29 }, + { left: 75, right: 13 }, + { left: 53, right: 13 }, + ], + pageNumbers: [ + [75, 47, 61, 53, 29], + [97, 61, 53, 29, 13], + [75, 29, 13], + [75, 97, 47, 61, 53], + [61, 13, 29], + [97, 13, 75, 29, 47], + ], + }; + assertEquals(actual, expected); +}); + +Deno.test("makeTopologySortOrder", () => { + const orderMap = new Map>([ + [1, new Set([2, 3])], + [2, new Set([4])], + [3, new Set([4])], + [4, new Set()], + ]); + const actual = makeTopologySortOrder(orderMap); + const expected = [[4, 2, 3, 1], [4, 3, 2, 1]]; + // 4 -> 2 -> 3 -> 1 + // 4 -> 3 -> 2 -> 1 + // multiple valid topological sort order + assertArrayIncludes(expected, [actual]); +}); + +Deno.test("makeTopologySortOrder with cycle", () => { + const orderMap = new Map>([ + [1, new Set([2])], + [2, new Set([3])], + [3, new Set([1])], + ]); + const actual = makeTopologySortOrder(orderMap); + const expected = [[3, 2, 1], [2, 1, 3], [1, 3, 2]]; // or any valid topological sort order + // 3 -> 1 -> 2 -> 3 + // 2 -> 3 -> 1 -> 2 + // 1 -> 2 -> 3 -> 1 + // multiple valid topological sort order + + // The order of the nodes in the cycle is not guaranteed. + assertArrayIncludes(expected, [actual]); +}); + +Deno.test("makeTopologySortOrder with disconnected graph", () => { + const orderMap = new Map>([ + [1, new Set([2])], + [3, new Set([4])], + ]); + const actual = makeTopologySortOrder(orderMap); + const expected = [ + [2, 1, 4, 3], + [2, 4, 1, 3], + [2, 4, 3, 1], + [4, 2, 1, 3], + [4, 2, 3, 1], + [4, 3, 2, 1], + ]; + assertArrayIncludes(expected, [actual]); +}); diff --git a/day_5/solve_1.ts b/day_5/solve_1.ts new file mode 100644 index 0000000..0a48ad8 --- /dev/null +++ b/day_5/solve_1.ts @@ -0,0 +1,108 @@ +export async function readFormat(path: string) { + const data = await Deno.readTextFile(path); + // assume LF line endings. + // TODO: handle CRLF line endings. + const [orderTxt, pageNumbersTxt] = data.split("\n\n"); + + const order = orderTxt.split("\n").map((line) => { + const [left, right] = line.split("|"); + return { + left: parseInt(left.trim()), + right: parseInt(right.trim()), + }; + }); + const pageNumbers = pageNumbersTxt.split("\n").map((line) => { + const numbers = line.split(","); + return numbers.map((num) => parseInt(num.trim())); + }); + return { order, pageNumbers }; +} + +// topology sort order +export function makeTopologySortOrder( + orderMap: Map>, +): number[] { + const visited = new Set(); + const sorted = new Array(); + for (const key of orderMap.keys()) { + if (!visited.has(key)) { + visit(key); + } + } + function visit(node: number) { + if (visited.has(node)) return; + visited.add(node); + const set = orderMap.get(node); + if (set) { + for (const next of set) { + visit(next); + } + } + sorted.push(node); + } + return sorted; +} + +async function main() { + const path = new URL("input.txt", import.meta.url).pathname; + const { order, pageNumbers } = await readFormat(path); + + // create order map + const orderMap = new Map>(); + for (const { left, right } of order) { + const leftSet = orderMap.get(left) ?? new Set(); + leftSet.add(right); + orderMap.set(left, leftSet); + } + // it's not transitive closure... + // + // apply transitive closure + // const topologySortOrder = makeTopologySortOrder(orderMap); + // const completedSetMap = new Map>(); + // for (const num of topologySortOrder) { + // // console.log(num, "\n==="); + // const set = orderMap.get(num) ?? new Set(); + // const completedSet = completedSetMap.get(num) ?? new Set(); + // set.forEach((elem) => completedSet.add(elem)); + // for (const next of set) { + // const nextSet = completedSetMap.get(next) ?? new Set(); + // nextSet.forEach((elem) => completedSet.add(elem)); + // } + // console.log(completedSet); + // // console.log("==="); + // completedSetMap.set(num, completedSet); + // } + + const completedSetMap = orderMap; + + // check order is valid or not by comparing with pageNumbers + function checkPageNumberOrder(pageNumbers: number[]): boolean { + const notAllowed = new Set(); + for (let i = pageNumbers.length - 1; i >= 0; i--) { + const current = pageNumbers[i]; + if (notAllowed.has(current)) { + return false; + } + notAllowed.add(current); + const biggerThanCurrent = completedSetMap.get(current); + biggerThanCurrent?.forEach((elem) => notAllowed.add(elem)); + } + return true; + } + + let sum = 0; + for (const pages of pageNumbers) { + if (!checkPageNumberOrder(pages)) { + // console.log("invalid order", pages); + } else { + // get middle number + const middle = pages[pages.length >> 1]; + sum += middle; + } + } + console.log(sum); +} + +if (import.meta.main) { + main(); +} diff --git a/day_5/solve_2.ts b/day_5/solve_2.ts new file mode 100644 index 0000000..49b53c5 --- /dev/null +++ b/day_5/solve_2.ts @@ -0,0 +1,86 @@ +import { readFormat } from "./solve_1.ts"; + +async function main() { + const path = new URL("input.txt", import.meta.url).pathname; + const { order, pageNumbers } = await readFormat(path); + + // create order map + const orderMap = new Map>(); + for (const { left, right } of order) { + const leftSet = orderMap.get(left) ?? new Set(); + leftSet.add(right); + orderMap.set(left, leftSet); + } + const completedSetMap = orderMap; + + // check order is valid or not by comparing with pageNumbers + function checkPageNumberOrder(pageNumbers: number[]): boolean { + const notAllowed = new Set(); + for (let i = pageNumbers.length - 1; i >= 0; i--) { + const current = pageNumbers[i]; + if (notAllowed.has(current)) { + // console.log("not allowed", current, notAllowed ); + return false; + } + notAllowed.add(current); + const biggerThanCurrent = completedSetMap.get(current); + biggerThanCurrent?.forEach((elem) => notAllowed.add(elem)); + } + return true; + } + + function findErrorIndex(n: number, pages: number[]) { + return pages.findIndex(page => { + const biggerThanCurrent = completedSetMap.get(page); + if (biggerThanCurrent) { + return biggerThanCurrent.has(n); + } + return false; + }) + } + + function correctPageNumberOrder(pageNumbers: number[]): number[] { + const result = [...pageNumbers]; + const notAllowed = new Set(); + for (let i = result.length - 1; i >= 0; i--) { + const current = result[i]; + if (notAllowed.has(current)) { + const p = result.slice(i + 1); + const errorIndex = findErrorIndex(current, p); + if (errorIndex === undefined) { + // could not happen + throw new Error("cannot correct the order"); + } + const ei = errorIndex + i + 1; + result[i] = result[ei]; + result[ei] = current; + + return correctPageNumberOrder(result); + } + notAllowed.add(current); + const biggerThanCurrent = completedSetMap.get(current); + biggerThanCurrent?.forEach((elem) => notAllowed.add(elem)); + } + return result; + } + + let sum = 0; + for (const pages of pageNumbers) { + if (!checkPageNumberOrder(pages)) { + // correct the order + const corrected = correctPageNumberOrder(pages); + if (!checkPageNumberOrder(corrected)) { + console.log("cannot correct the order", pages); + console.log("corrected", corrected); + throw new Error("cannot correct the order"); + } + const middle = corrected[corrected.length >> 1]; + sum += middle; + } + } + console.log(sum); +} + +if (import.meta.main) { + main(); +}