/*
Refer https://www.geeksforgeeks.org/dijkstras-shortest-path-algorithm-greedy-algo-7/
for better understanding 
 */
package com.thealgorithms.datastructures.graphs;

class dijkstras {

    int k = 9;

    int minDist(int dist[], Boolean Set[]) {
        int min = Integer.MAX_VALUE, min_index = -1;

        for (int r = 0; r < k; r++) {
            if (Set[r] == false && dist[r] <= min) {
                min = dist[r];
                min_index = r;
            }
        }

        return min_index;
    }

    void print(int dist[]) {
        System.out.println("Vertex \t\t Distance");
        for (int i = 0; i < k; i++) {
            System.out.println(i + " \t " + dist[i]);
        }
    }

    void dijkstra(int graph[][], int src) {
        int dist[] = new int[k];
        Boolean Set[] = new Boolean[k];

        for (int i = 0; i < k; i++) {
            dist[i] = Integer.MAX_VALUE;
            Set[i] = false;
        }

        dist[src] = 0;

        for (int c = 0; c < k - 1; c++) {
            int u = minDist(dist, Set);

            Set[u] = true;

            for (int v = 0; v < k; v++) {
                if (
                    !Set[v] &&
                    graph[u][v] != 0 &&
                    dist[u] != Integer.MAX_VALUE &&
                    dist[u] + graph[u][v] < dist[v]
                ) {
                    dist[v] = dist[u] + graph[u][v];
                }
            }
        }

        print(dist);
    }

    public static void main(String[] args) {
        int graph[][] = new int[][] {
            { 0, 4, 0, 0, 0, 0, 0, 8, 0 },
            { 4, 0, 8, 0, 0, 0, 0, 11, 0 },
            { 0, 8, 0, 7, 0, 4, 0, 0, 2 },
            { 0, 0, 7, 0, 9, 14, 0, 0, 0 },
            { 0, 0, 0, 9, 0, 10, 0, 0, 0 },
            { 0, 0, 4, 14, 10, 0, 2, 0, 0 },
            { 0, 0, 0, 0, 0, 2, 0, 1, 6 },
            { 8, 11, 0, 0, 0, 0, 1, 0, 7 },
            { 0, 0, 2, 0, 0, 0, 6, 7, 0 },
        };
        dijkstras t = new dijkstras();
        t.dijkstra(graph, 0);
    } //main
} //djikstras
/*
OUTPUT :
Vertex   Distance 
0            0
1            4
2            12
3            19
4            21
5            11
6            9
7            8
8            14
 */