#include <bits/stdc++.h>
using namespace std;
void primMST(vector<vector<int>> graph) {
int v = graph.size();
vector<int> parent(v);
vector<int> key(v);
vector<bool> vis(v);
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
for (int i = 0; i < v; i++) {
key[i] = INT_MAX;
vis[i] = false;
}
key[0] = 0;
parent[0] = -1;
pq.push({0, 0});
while (!pq.empty()) {
int node = pq.top().second;
pq.pop();
vis[node] = true;
for (int i = 0; i < v; i++) {
if (!vis[i] && graph[node][i] != 0 && graph[node][i] < key[i]) {
pq.push({graph[node][i], i});
key[i] = graph[node][i];
parent[i] = node;
}
}
}
cout << "Edge \tWeight\n";
for (int i = 1; i < v; i++) {
cout << parent[i] << " - " << i << " \t" << graph[i][parent[i]] << " \n";
}
}
int main() {
vector<vector<int>> graph = {{0, 2, 0, 6, 0},
{2, 0, 3, 8, 5},
{0, 3, 0, 0, 7},
{6, 8, 0, 0, 9},
{0, 5, 7, 9, 0}};
primMST(graph);
return 0;
}
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