Kruskal's algorithm
unknown
c_cpp
4 years ago
1.2 kB
16
Indexable
struct dsu {
vector<int> repr;
vector<int> siz;
int _find(int a) {
if (repr[a] == a)
return a;
else
return repr[a] = _find(repr[a]);
}
void unite(int a, int b) {
if (connected(a, b))
return;
a = _find(a);
b = _find(b);
if (siz[a] > siz[b])
swap(a, b);
repr[a] = b;
siz[b] += siz[a];
}
bool connected(int a, int b) {
return _find(a) == _find(b);
}
dsu(int n) {
for(int i = 0; i < n; i++) {
repr.push_back(i);
siz.push_back(1);
}
}
};
//uses DSU
vector<vector<int>> kruskal(vector<vector<int>>& edges) {
int m = edges.size();
vector<vector<int>> E(m);
int n = -1;
for (int i = 0; i < m; i++) {
E[i][0] = edges[i][2];
E[i][1] = edges[i][0];
E[i][2] = edges[i][1];
n = max(n, max(edges[i][0], edges[i][1]));
}
sort(E, E + m);
dsu d(n);
vector<vector<int>> res;
for (int i = 0; i < m; i++)
if (!d.connected(E[i][1], E[i][2])) {
res.push_back({E[i][1], E[i][2], E[i][0]});
d.unite(E[i][1], E[i][2]);
}
return res;
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