#include <bits/stdc++.h>
using namespace std;
const int MAX_N = 1e5;
long long totalEdges = 0;
int parent[MAX_N + 1], sizee[MAX_N + 1];
set<int> inEdges[MAX_N + 1];
set<int> vert[MAX_N + 1];
int findParent(int u) {
if (parent[u] != u)
parent[u] = findParent(parent[u]);
return parent[u];
}
bool isEdgeFromVertexToComponent(int v, int c) {
return (inEdges[c].find(v) != inEdges[c].end());
}
void unionn(int u, int v) {
u = findParent(u);
v = findParent(v);
if (u == v)
return;
if (inEdges[u].size() < inEdges[v].size())
swap(u, v);
totalEdges -= (long long)sizee[u] * inEdges[u].size();
totalEdges -= (long long)sizee[v] * inEdges[v].size();
totalEdges -= (long long)sizee[u] * (sizee[u] - 1);
totalEdges -= (long long)sizee[v] * (sizee[v] - 1);
parent[v] = u;
sizee[u] += sizee[v];
for (int x: vert[v]) {
vert[u].insert(x);
inEdges[u].erase(x);
}
vert[v].clear();
for (int x: inEdges[v]) {
if (vert[u].find(x) == vert[u].end())
inEdges[u].insert(x);
}
inEdges[v].clear();
totalEdges += (long long)sizee[u] * inEdges[u].size();
totalEdges += (long long)sizee[u] * (sizee[u] - 1);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
for (int v = 1; v <= n; v++) {
parent[v] = v, sizee[v] = 1;
vert[v].insert(v);
}
totalEdges = 0;
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
int pu = findParent(u);
int pv = findParent(v);
if (pu != pv) {
if (isEdgeFromVertexToComponent(v, pu))
unionn(u, v);
else if (!isEdgeFromVertexToComponent(u, pv)) {
totalEdges += sizee[pv];
inEdges[pv].insert(u);
}
}
cout << totalEdges << "\n";
}
return 0;
}
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |