|
| 1 | +const input = require("fs") |
| 2 | + .readFileSync( |
| 3 | + process.platform === "linux" |
| 4 | + ? "/dev/stdin" |
| 5 | + : require("path").join(__dirname, "input.txt"), |
| 6 | + "utf8" |
| 7 | + ) |
| 8 | + .toString() |
| 9 | + .trim() |
| 10 | + .split("\n"); |
| 11 | + |
| 12 | +function solution(input) { |
| 13 | + const [n, m] = input[0].split(" ").map(Number); |
| 14 | + const map = Array.from({ length: n + 1 }, () => []); |
| 15 | + |
| 16 | + for (let i = 1; i <= m; i++) { |
| 17 | + const [a, b, cost] = input[i].split(" ").map(Number); |
| 18 | + map[a].push([b, cost]); |
| 19 | + map[b].push([a, cost]); |
| 20 | + } |
| 21 | + |
| 22 | + const distance = Array(n + 1).fill(Infinity); |
| 23 | + distance[1] = 0; |
| 24 | + |
| 25 | + const heap = new MinHeap(); |
| 26 | + heap.push([0, 1]); |
| 27 | + |
| 28 | + while (!heap.isEmpty()) { |
| 29 | + const [curCost, curNode] = heap.pop(); |
| 30 | + |
| 31 | + if (distance[curNode] < curCost) continue; |
| 32 | + |
| 33 | + for (let [next, nextCost] of map[curNode]) { |
| 34 | + const newCost = curCost + nextCost; |
| 35 | + if (newCost < distance[next]) { |
| 36 | + distance[next] = newCost; |
| 37 | + heap.push([newCost, next]); |
| 38 | + } |
| 39 | + } |
| 40 | + } |
| 41 | + |
| 42 | + return distance[n]; |
| 43 | +} |
| 44 | + |
| 45 | +class MinHeap { |
| 46 | + constructor() { |
| 47 | + this.heap = []; |
| 48 | + } |
| 49 | + |
| 50 | + push(value) { |
| 51 | + this.heap.push(value); |
| 52 | + let i = this.heap.length - 1; |
| 53 | + while (i > 0) { |
| 54 | + const parent = Math.floor((i - 1) / 2); |
| 55 | + if (this.heap[parent][0] <= this.heap[i][0]) break; |
| 56 | + [this.heap[parent], this.heap[i]] = [this.heap[i], this.heap[parent]]; |
| 57 | + i = parent; |
| 58 | + } |
| 59 | + } |
| 60 | + |
| 61 | + pop() { |
| 62 | + if (this.heap.length === 1) return this.heap.pop(); |
| 63 | + const top = this.heap[0]; |
| 64 | + this.heap[0] = this.heap.pop(); |
| 65 | + |
| 66 | + let i = 0; |
| 67 | + while (true) { |
| 68 | + let left = i * 2 + 1; |
| 69 | + let right = i * 2 + 2; |
| 70 | + let smallest = i; |
| 71 | + |
| 72 | + if ( |
| 73 | + left < this.heap.length && |
| 74 | + this.heap[left][0] < this.heap[smallest][0] |
| 75 | + ) { |
| 76 | + smallest = left; |
| 77 | + } |
| 78 | + if ( |
| 79 | + right < this.heap.length && |
| 80 | + this.heap[right][0] < this.heap[smallest][0] |
| 81 | + ) { |
| 82 | + smallest = right; |
| 83 | + } |
| 84 | + if (smallest === i) break; |
| 85 | + |
| 86 | + [this.heap[i], this.heap[smallest]] = [this.heap[smallest], this.heap[i]]; |
| 87 | + i = smallest; |
| 88 | + } |
| 89 | + |
| 90 | + return top; |
| 91 | + } |
| 92 | + |
| 93 | + isEmpty() { |
| 94 | + return this.heap.length === 0; |
| 95 | + } |
| 96 | +} |
| 97 | + |
| 98 | +console.log(solution(input)); |
0 commit comments