이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
typedef long long i64;
typedef pair<int, int> pii;
#define ff first
#define ss second
#define MP make_pair
const int mxn = 2e5 + 10;
vector<int> adj[mxn];
vector<pii> edges;
i64 kv_sum[mxn]; int col[mxn];
i64 sum_kv[mxn]; int chi[mxn];
int n, m;
int colour(int u) {
if(col[u] < 0) return u;
return col[u] = colour(col[u]);
}
bool unite(int u, int v) {
u = colour(u);
v = colour(v);
if(u == v) return 0;
if(col[u] > col[v]) swap(u, v);
col[u] += col[v];
col[v] = u;
return 1;
}
bool vis[mxn];
void dfs_build(int u, int par) {
vis[u] = 1;
for(int v : adj[u]) {
if(v == par) continue;
dfs_build(v, u);
chi[u] += chi[v];
kv_sum[u] += chi[v] * chi[v];
sum_kv[u] += chi[v];
}
sum_kv[u] *= sum_kv[u];
chi[u]++;
}
i64 ans = 0;
void dfs_solve(int u, int par) {
vis[u] = 1;
for(int v : adj[u]) {
if(v == par) continue;
dfs_solve(v, u);
}
i64 t = sum_kv[u] * sum_kv[u] - kv_sum[u] * kv_sum[u];
ans += t / 2;
i64 total = -col[colour(u)];
i64 s = total - chi[u];
i64 f = chi[u] - 1;
ans += s * f;
// cout << u << ": " << t << ", " << s << ' ' << f << endl;
}
int main() {
cin >> n >> m;
memset(col, -1, sizeof col);
for(int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
unite(u, v);
}
for(int u = 1; u <= n; u++)
if(!vis[u])
dfs_build(u, u);
memset(vis, 0, sizeof vis);
for(int u = 1; u <= n; u++)
if(!vis[u])
dfs_solve(u, u);
cout << 2 * ans << endl;
return 0;
}
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