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| 1 | +// https://leetcode.com/problems/network-delay-time |
| 2 | +// Single source shortest path algorithm (Dijkstra's Algorithm) |
| 3 | +// T: O(E log(N) for dijkstra + N for searching max val) |
| 4 | +// S: O(E + N) |
| 5 | + |
| 6 | +import java.util.Arrays; |
| 7 | +import java.util.Comparator; |
| 8 | +import java.util.HashMap; |
| 9 | +import java.util.Map; |
| 10 | +import java.util.PriorityQueue; |
| 11 | +import java.util.Queue; |
| 12 | + |
| 13 | +public class NetworkDelayTime { |
| 14 | + private record Node(int value, long time) { } |
| 15 | + |
| 16 | + public int networkDelayTime(int[][] times, int n, int k) { |
| 17 | + final Map<Integer, Map<Integer, Integer>> graph = createDirectedGraphFrom(times); |
| 18 | + final long[] minTimeTaken = getMinTimeTakenArray(n, k); |
| 19 | + final Queue<Node> queue = new PriorityQueue<Node>(Comparator.comparing(Node::time)); |
| 20 | + queue.add(new Node(k, 0)); |
| 21 | + |
| 22 | + while (!queue.isEmpty()) { |
| 23 | + Node node = queue.poll(); |
| 24 | + if (!graph.containsKey(node.value)) continue; |
| 25 | + Map<Integer, Integer> vertexNode = graph.get(node.value); |
| 26 | + for (int adjacent : vertexNode.keySet()) { |
| 27 | + if (minTimeTaken[node.value - 1] + vertexNode.get(adjacent) < minTimeTaken[adjacent - 1]) { |
| 28 | + minTimeTaken[adjacent - 1] = minTimeTaken[node.value - 1] + vertexNode.get(adjacent); |
| 29 | + queue.add(new Node(adjacent, minTimeTaken[adjacent - 1])); |
| 30 | + } |
| 31 | + } |
| 32 | + } |
| 33 | + |
| 34 | + return allAreReached(minTimeTaken) ? (int) Arrays.stream(minTimeTaken).max().getAsLong() : -1; |
| 35 | + } |
| 36 | + |
| 37 | + private Map<Integer, Map<Integer, Integer>> createDirectedGraphFrom(int[][] times) { |
| 38 | + final Map<Integer, Map<Integer, Integer>> graph = new HashMap<>(); |
| 39 | + for (int[] time : times) { |
| 40 | + int start = time[0]; |
| 41 | + int destination = time[1]; |
| 42 | + int delay = time[2]; |
| 43 | + |
| 44 | + graph.putIfAbsent(start, new HashMap<>()); |
| 45 | + graph.get(start).put(destination, delay); |
| 46 | + } |
| 47 | + return graph; |
| 48 | + } |
| 49 | + |
| 50 | + private long[] getMinTimeTakenArray(int length, int start) { |
| 51 | + long[] array = new long[length]; |
| 52 | + for (int i = 0 ; i < length ; i++) { |
| 53 | + array[i] = Integer.MAX_VALUE; |
| 54 | + } |
| 55 | + array[start - 1] = 0; |
| 56 | + return array; |
| 57 | + } |
| 58 | + |
| 59 | + private boolean allAreReached(long[] array) { |
| 60 | + for (long val : array) { |
| 61 | + if (val == Integer.MAX_VALUE) return false; |
| 62 | + } |
| 63 | + return true; |
| 64 | + } |
| 65 | +} |
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