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| 1 | +import java.io.*; |
| 2 | +import java.util.*; |
| 3 | + |
| 4 | +class Main { |
| 5 | + |
| 6 | + static class Node { |
| 7 | + int number, cost, edge; |
| 8 | + List<Integer> paths = new ArrayList<>(); |
| 9 | + |
| 10 | + public Node(int number, int cost) { |
| 11 | + this.number = number; |
| 12 | + this.cost = cost; |
| 13 | + } |
| 14 | + |
| 15 | + public Node(int number, int cost, int edge) { |
| 16 | + this.number = number; |
| 17 | + this.cost = cost; |
| 18 | + this.edge = edge; |
| 19 | + } |
| 20 | + } |
| 21 | + |
| 22 | + static int n, m; |
| 23 | + static List<Node>[] graph; |
| 24 | + static int[] edges; |
| 25 | + static int minDist; |
| 26 | + |
| 27 | + public static void main(String[] args) throws Exception { |
| 28 | + BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); |
| 29 | + BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out)); |
| 30 | + StringTokenizer st = new StringTokenizer(br.readLine()); |
| 31 | + n = Integer.parseInt(st.nextToken()); |
| 32 | + m = Integer.parseInt(st.nextToken()); |
| 33 | + |
| 34 | + graph = new ArrayList[n + 1]; |
| 35 | + edges = new int[m]; |
| 36 | + |
| 37 | + for (int i = 0; i <= n; i++) { |
| 38 | + graph[i] = new ArrayList<>(); |
| 39 | + } |
| 40 | + |
| 41 | + for (int i = 0; i < m; i++) { |
| 42 | + st = new StringTokenizer(br.readLine()); |
| 43 | + int a = Integer.parseInt(st.nextToken()); |
| 44 | + int b = Integer.parseInt(st.nextToken()); |
| 45 | + int c = Integer.parseInt(st.nextToken()); |
| 46 | + edges[i] = c; |
| 47 | + graph[a].add(new Node(b, c, i)); |
| 48 | + graph[b].add(new Node(a, c, i)); |
| 49 | + } |
| 50 | + |
| 51 | + int maxLazyTime = Integer.MIN_VALUE; |
| 52 | + List<Integer> paths = dijkstra(); |
| 53 | + for (int path : paths) { |
| 54 | + int[] dist = dijkstra(path); |
| 55 | + if (dist[n] == 110_000_000) { |
| 56 | + maxLazyTime = -1; |
| 57 | + break; |
| 58 | + } else { |
| 59 | + maxLazyTime = Math.max(Math.abs(minDist - dist[n]), maxLazyTime); |
| 60 | + } |
| 61 | + } |
| 62 | + |
| 63 | + bw.write(Integer.toString(maxLazyTime)); |
| 64 | + bw.flush(); |
| 65 | + bw.close(); |
| 66 | + } |
| 67 | + |
| 68 | + |
| 69 | + public static List<Integer> dijkstra() { |
| 70 | + PriorityQueue<Node> pq = new PriorityQueue<>(Comparator.comparingInt(o -> o.cost)); |
| 71 | + int[] dist = new int[n + 1]; |
| 72 | + Arrays.fill(dist, 110_000_000); |
| 73 | + dist[1] = 0; |
| 74 | + pq.offer(new Node(1, 0)); |
| 75 | + |
| 76 | + while (!pq.isEmpty()) { |
| 77 | + Node current = pq.poll(); |
| 78 | + |
| 79 | + if (current.number == n) { |
| 80 | + minDist = dist[n]; |
| 81 | + return current.paths; |
| 82 | + } |
| 83 | + |
| 84 | + for (Node next : graph[current.number]) { |
| 85 | + if (dist[next.number] > dist[current.number] + next.cost) { |
| 86 | + dist[next.number] = dist[current.number] + next.cost; |
| 87 | + Node select = new Node(next.number, dist[next.number]); |
| 88 | + if (current.number != 1) { |
| 89 | + select.paths.addAll(current.paths); |
| 90 | + } |
| 91 | + select.paths.add(next.edge); |
| 92 | + pq.offer(select); |
| 93 | + } |
| 94 | + } |
| 95 | + } |
| 96 | + |
| 97 | + |
| 98 | + return null; |
| 99 | + } |
| 100 | + |
| 101 | + public static int[] dijkstra(int edge) { |
| 102 | + PriorityQueue<Node> pq = new PriorityQueue<>(Comparator.comparingInt(o -> o.cost)); |
| 103 | + int[] dist = new int[n + 1]; |
| 104 | + Arrays.fill(dist, 110_000_000); |
| 105 | + dist[1] = 0; |
| 106 | + pq.offer(new Node(1, 0)); |
| 107 | + |
| 108 | + while (!pq.isEmpty()) { |
| 109 | + Node current = pq.poll(); |
| 110 | + |
| 111 | + for (Node next : graph[current.number]) { |
| 112 | + if (next.edge == edge) { |
| 113 | + continue; |
| 114 | + } |
| 115 | + if (dist[next.number] > dist[current.number] + next.cost) { |
| 116 | + dist[next.number] = dist[current.number] + next.cost; |
| 117 | + pq.offer(new Node(next.number, dist[next.number])); |
| 118 | + } |
| 119 | + } |
| 120 | + } |
| 121 | + |
| 122 | + return dist; |
| 123 | + } |
| 124 | +} |
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