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>
using namespace std;
typedef long long ll;
int n, m;
vector<int> g[100000];
int par[100000];
ll sz[100000];
bool cyc[100000];
int find(int u)
{
if (par[u] == u) return u;
return par[u] = find(par[u]);
}
void unite(int u, int v)
{
u = find(u), v = find(v);
if (u == v)
{
cyc[u] = cyc[v] = true;
return;
}
par[v] = u;
sz[u] = sz[v] = sz[u] + sz[v];
}
int main()
{
cin >> n >> m;
for (int i = 0; i < n; i++)
par[i] = i, sz[i] = 1;
for (int i = 0, u, v; i < m; i++)
{
cin >> u >> v;
unite(u - 1, v - 1);
g[u - 1].push_back(v - 1);
g[v - 1].push_back(u - 1);
}
ll res = 0;
for (int i = 0; i < n; i++)
if (par[i] == i)
{
if (cyc[i])
res += sz[i] * (sz[i] - 1) * (sz[i] - 2);
else
{
for (ll j = 0; j < sz[i]; j++)
res += j * (sz[i] - 1 - j);
}
}
cout << res << '\n';
return 0;
}
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