This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define I64 long long
using namespace std;
const int V = (int) 1E5;
int S;
vector<int> A[V];
namespace VBCC {
int n;
int d[V], f[V], t;
stack<int> s;
vector<int> e[V];
void add(int u, int v) {
e[u].push_back(v);
e[v].push_back(u);
}
void DFS(int u, int p) {
d[u] = t;
t = t + 1;
f[u] = d[u];
s.push(u);
int c = 0;
for (auto v : e[u]) {
if (d[v] < 0) {
c = c + 1;
DFS(v, u);
f[u] = min(f[u], f[v]);
if (f[v] == d[u]) {
int w;
do {
w = s.top();
s.pop();
A[S].push_back(w);
} while (w != v);
A[S].push_back(u);
S = S + 1;
}
} else {
f[u] = min(f[u], d[v]);
}
}
if (p < 0 && c == 0) {
A[S].push_back(u);
S = S + 1;
}
}
void run(int x) {
n = x;
fill(d, d + n, 0 - 1);
for (int u = 0; u < n; u++) {
if (d[u] < 0) {
DFS(u, 0 - 1);
s.pop();
}
}
}
};
int n, m;
vector<int> e[V * 2];
int a[V * 2], s[V * 2], p[V * 2];
int t[V * 2];
I64 c;
void DFS(int u) {
s[u] = (u < n);
for (auto v : e[u]) {
if (v != p[u]) {
p[v] = u;
t[v] = t[u];
DFS(v);
c = c + (I64) a[u] * s[v] * s[u] * 2;
s[u] = s[u] + s[v];
}
}
}
void solve() {
cin >> n >> m;
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
u = u - 1;
v = v - 1;
VBCC::add(u, v);
}
VBCC::run(n);
for (int i = 0; i < S; i++) {
int u = n + i;
for (auto v : A[i]) {
e[u].push_back(v);
e[v].push_back(u);
}
}
for (int u = 0; u < n; u++) {
a[u] = 0 - 1;
}
for (int i = 0; i < S; i++) {
a[i + n] = (int) A[i].size();
}
fill(p, p + n + S, 0 - 1);
for (int u = 0; u < n + S; u++) {
if (p[u] < 0) {
p[u] = 0 - 1;
t[u] = u;
DFS(u);
}
}
for (int u = 0; u < n + S; u++) {
c = c + (I64) a[u] * s[u] * (s[t[u]] - s[u]) * 2;
}
cout << c << "\n";
}
int main() {
ios::sync_with_stdio(0);
cin.tie(nullptr);
solve();
return 0;
}
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