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KruskalAlgorithmCpp
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KruskalAlgorithmCpp
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#include<bits/stdc++.h>
using namespace std;
struct node {
int u;
int v;
int wt;
node(int first, int second, int weight) {
u = first;
v = second;
wt = weight;
}
};
bool comp(node a, node b) {
return a.wt < b.wt;
}
int findPar(int u, vector<int> &parent) {
if(u == parent[u]) return u;
return parent[u] = findPar(parent[u], parent);
}
void unionn(int u, int v, vector<int> &parent, vector<int> &rank) {
u = findPar(u, parent);
v = findPar(v, parent);
if(rank[u] < rank[v]) {
parent[u] = v;
}
else if(rank[v] < rank[u]) {
parent[v] = u;
}
else {
parent[v] = u;
rank[u]++;
}
}
int main(){
int N,m;
cin >> N >> m;
vector<node> edges;
for(int i = 0;i<m;i++) {
int u, v, wt;
cin >> u >> v >> wt;
edges.push_back(node(u, v, wt));
}
sort(edges.begin(), edges.end(), comp);
vector<int> parent(N);
for(int i = 0;i<N;i++)
parent[i] = i;
vector<int> rank(N, 0);
int cost = 0;
vector<pair<int,int>> mst;
for(auto it : edges) {
if(findPar(it.v, parent) != findPar(it.u, parent)) {
cost += it.wt;
mst.push_back({it.u, it.v});
unionn(it.u, it.v, parent, rank);
}
}
cout << cost << endl;
for(auto it : mst) cout << it.first << " - " << it.second << endl;
return 0;
}