#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <queue>
#include <set>
typedef long long llong;
const int MAXN = 100000 + 10;
const int MAXM = 300000 + 10;
const int MOD = 1e9 + 7;
int n, m;
llong answer;
struct DSU
{
int sz[MAXN];
int par[MAXN];
std::set <int> in[MAXN];
std::set <int> out[MAXN];
std::set <int> nodes[MAXN];
void build()
{
std::fill(sz + 1, sz + 1 + n, 1);
std::iota(par + 1, par + 1 + n, 1);
for (int i = 1 ; i <= n ; ++i)
{
nodes[i].insert(i);
}
}
int find(int node)
{
if (par[node] == node) return node;
return par[node] = find(par[node]);
}
void addEdge(int u, int v)
{
if (find(u) == find(v))
{
return;
}
if (!in[find(u)].count(v))
{
if (out[u].count(find(v)))
{
return;
}
answer += sz[find(v)];
out[u].insert(find(v));
in[find(v)].insert(u);
return;
}
u = find(u);
v = find(v);
if (nodes[u].size() > nodes[v].size())
{
std::swap(u, v);
}
for (const int &node : nodes[u])
{
if (out[node].count(v))
{
answer -= sz[v];
out[node].erase(out[node].find(v));
in[v].erase(in[v].find(node));
}
}
std::queue <int> toErase;
std::queue <int> toErase2;
for (const int &node : in[u])
{
if (find(node) == v)
{
toErase.push(node);
} else
{
toErase2.push(node);
}
}
while (toErase.size())
{
int top = toErase.front();
toErase.pop();
answer -= sz[u];
in[u].erase(in[u].find(top));
out[top].erase(out[top].find(u));
}
answer += 1LL * in[v].size() * sz[u];
while (toErase2.size())
{
int top = toErase2.front();
toErase2.pop();
in[u].erase(in[u].find(top));
out[top].erase(out[top].find(u));
in[v].insert(top);
out[top].insert(v);
answer += sz[v] - sz[u];
}
answer += 2LL * sz[v] * sz[u];
sz[v] += sz[u];
par[u] = v;
}
};
DSU dsu;
int from[MAXM];
int to[MAXM];
void solve()
{
dsu.build();
for (int i = 1 ; i <= m ; ++i)
{
dsu.addEdge(from[i], to[i]);
std::cout << answer << '\n';
}
}
void input()
{
std::cin >> n >> m;
for (int i = 1 ; i <= m ; ++i)
{
std::cin >> from[i] >> to[i];
}
}
void fastIOI()
{
std::ios_base :: sync_with_stdio(0);
std::cout.tie(nullptr);
std::cin.tie(nullptr);
}
int main()
{
fastIOI();
input();
solve();
return 0;
}
/*
14 13
10 14
3 10
14 13
1 3
3 5
3 11
12 14
14 6
11 8
2 3
7 8
9 7
1 4
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
17496 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
17496 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
17496 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |