#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#define endl '\n'
using namespace std;
const int maxn = 1e5 + 3;
int n, m;
void read()
{
cin >> n >> m;
}
int par[maxn], sz[maxn];
set <int> adj[maxn], rev_adj[maxn];
vector <int> members[maxn];
int find_root(int ver)
{
if (ver == par[ver])
return ver;
return par[ver] = find_root(par[ver]);
}
long long ans = 0;
vector <pair <int, int> > to_add;
void merge(int a, int b)
{
a = find_root(a), b = find_root(b);
if (a == b)
return;
ans -= 1ll * sz[a] * (sz[a] - 1);
ans -= 1ll * sz[b] * (sz[b] - 1);
ans -= 1ll * (int)rev_adj[a].size() * sz[a];
ans -= 1ll * (int)rev_adj[b].size() * sz[b];
if (sz[a] < sz[b])
swap(a, b);
for (auto i: members[b])
members[a].push_back(i);
for (auto j: adj[b])
if (j != a)
{
adj[a].insert(j);
if (adj[j].find(a) != adj[j].end())
to_add.push_back({a, j});
}
for (auto j: rev_adj[b])
{
if (find_root(j) == a)
continue;
if (adj[a].find(j) != adj[a].end())
to_add.push_back({j, a});
adj[find_root(j)].erase(b);
adj[find_root(j)].insert(a);
rev_adj[a].insert(j);
}
adj[a].erase(b);
vector <int> to_remove;
for (auto i: members[b])
if (rev_adj[a].find(i) != rev_adj[a].end())
rev_adj[a].erase(i);
par[b] = a;
sz[a] += sz[b];
ans += 1ll * sz[a] * (sz[a] - 1);
ans += 1ll * (int)rev_adj[a].size() * sz[a];
}
pair <int, int> e[maxn * 3];
void solve()
{
for (int i = 1; i <= n; i++)
{
par[i] = i, sz[i] = 1;
members[i].push_back(i);
}
for (int i = 1; i <= m; i++)
{
cin >> e[i].first >> e[i].second;
int a = find_root(e[i].first), b = find_root(e[i].second);
if (a != b)
{
ans -= 1ll * (int)rev_adj[b].size() * sz[b];
adj[a].insert(b);
rev_adj[b].insert(e[i].first);
ans += 1ll * (int)rev_adj[b].size() * sz[b];
if (adj[b].find(a) != adj[b].end())
{
to_add.push_back({a, b});
while (!to_add.empty())
{
auto curr = to_add.back();
to_add.pop_back();
merge(curr.first, curr.second);
}
}
}
cout << ans << endl;
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
read();
solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
12140 KB |
Output is correct |
2 |
Correct |
8 ms |
12140 KB |
Output is correct |
3 |
Correct |
8 ms |
12140 KB |
Output is correct |
4 |
Correct |
8 ms |
12140 KB |
Output is correct |
5 |
Correct |
8 ms |
12140 KB |
Output is correct |
6 |
Correct |
8 ms |
12140 KB |
Output is correct |
7 |
Incorrect |
9 ms |
12140 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
12140 KB |
Output is correct |
2 |
Correct |
8 ms |
12140 KB |
Output is correct |
3 |
Correct |
8 ms |
12140 KB |
Output is correct |
4 |
Correct |
8 ms |
12140 KB |
Output is correct |
5 |
Correct |
8 ms |
12140 KB |
Output is correct |
6 |
Correct |
8 ms |
12140 KB |
Output is correct |
7 |
Incorrect |
9 ms |
12140 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
12140 KB |
Output is correct |
2 |
Correct |
8 ms |
12140 KB |
Output is correct |
3 |
Correct |
8 ms |
12140 KB |
Output is correct |
4 |
Correct |
8 ms |
12140 KB |
Output is correct |
5 |
Correct |
8 ms |
12140 KB |
Output is correct |
6 |
Correct |
8 ms |
12140 KB |
Output is correct |
7 |
Incorrect |
9 ms |
12140 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |