#include <iostream>

using namespace std;

int minDistance(int*, int*, int);
void printPath(int*, int);

int main() {

    cout << "Unesite broj cvorova koji se nalaze u mrezi" << endl;
    int n;
    cin >> n;

    cout << "Za svaki par cvorova navesti tezinu grane izmedju njih:" << endl;

    int** matrix = new int* [n];
    for (int i = 0; i < n; matrix[i++] = new int[n]);

    for (int i = 0; i < n; i++)
        for (int j = 0; j < n; j++) {
            cout << "(" << i << ", " << j << ") :";
            cin >> matrix[i][j];
            cout << endl;
        }

    cout << "Od kog cvora se racunaju najkraci putevi? ";
    int root;
    cin >> root;

    int* dist = new int[n];
    int* sptSet = new int[n];
    int* parent = new int[n];

    for (int i = 0; i < n; i++) {
        parent[i] = -1;
        dist[i] = INT_MAX;
        sptSet[i] = 0;
    }
    dist[root] = 0;

    for (int count = 0; count < n - 1; count++) {
        int u = minDistance(dist, sptSet, n);

        sptSet[u] = 1;

        for (int v = 0; v < n; v++)
            if (!sptSet[v] && matrix[u][v] &&
                dist[u] + matrix[u][v] < dist[v])
            {
                parent[v] = u;
                dist[v] = dist[u] + matrix[u][v];
            }
    }

    for (int i = 0; i < n; i++) {
        if (i != root) {
            cout << "Udaljenost cvora " << i << " od cvora " << root << " je " << dist[i] << endl;
            cout << "Putanja: " << root;
            printPath(parent, i);
            cout << endl;

        }

    }
    system("pause");

    for (int i = 0; i < n; i++) delete[] matrix[i];
    delete[] matrix;
    delete[] dist;
    delete[] sptSet;
    delete[] parent;

    return 0;
}



int minDistance(int* dist, int* sptSet, int n) {

    int min = INT_MAX, min_index;

    for (int v = 0; v < n; v++)
        if (sptSet[v] == false &&
            dist[v] <= min)
            min = dist[v], min_index = v;

    return min_index;
}

void printPath(int* parent, int j) {

    if (parent[j] == -1) return;

    printPath(parent, parent[j]);

    cout << "->" << j;
}