#include<bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(false); cin.tie(0);
#define fi first
#define se second
#define all(v) (v).begin(), (v).end()
#define em emplace
#define eb emplace_back
#define mp make_pair
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const ll INF = 1e18;
const int inf = 1e9;
const ll Mod = 1e9 + 7;
int n, m;
int a[300010];
int b[300010];
int p[100010];
ll sz[100010];
set<int> in[100010], out[100010];
ll ans;
vector<pii> q;
int Find(int a) {
return a == p[a] ? a : Find(p[a]);
}
void Union(int a, int b) {
a = Find(a);
b = Find(b);
ans -= sz[a] * (sz[a] - 1) + sz[b] * (sz[b] - 1);
ans -= sz[a] * in[a].size() + sz[b] * in[b].size();
p[b] = a;
sz[a] += sz[b];
sz[b] = 0;
ans += sz[a] * (sz[a] - 1);
for(auto i : out[b]) {
out[a].insert(i);
}
for(auto i : in[b]) {
in[a].insert(i);
if(out[a].find(Find(i)) != out[a].end() && Find(i) != a) {
//cout << a << "!!! " << Find(i) << endl;
q.eb(a, Find(i));
}
else out[Find(i)].insert(a);
}
vector<int> v;
for(auto i : in[a]) {
if(Find(i) == a) v.eb(i);
}
for(auto i : v) in[a].erase(i);
ans += sz[a] * in[a].size();
}
int main() {
fast;
cin >> n >> m;
for(int i=1; i<=n; i++)
p[i] = i, sz[i] = 1;
for(int i=1; i<=m; i++) {
cin >> a[i] >> b[i];
if(Find(a[i]) == Find(b[i])) {
cout << ans << "\n";
continue;
}
if(out[Find(b[i])].find(Find(a[i])) != out[Find(b[i])].end()) {
q.eb(a[i], b[i]);
while(q.size()) {
auto x = q.back();
q.pop_back();
//cout << x.fi << "? " << x.se << endl;
Union(x.fi, x.se);
}
}
else {
ans -= sz[Find(b[i])] * in[Find(b[i])].size();
out[Find(a[i])].insert(Find(b[i]));
in[Find(b[i])].insert(a[i]);
ans += sz[Find(b[i])] * in[Find(b[i])].size();
}
cout << ans << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
9728 KB |
Output is correct |
2 |
Correct |
7 ms |
9728 KB |
Output is correct |
3 |
Incorrect |
7 ms |
9728 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
9728 KB |
Output is correct |
2 |
Correct |
7 ms |
9728 KB |
Output is correct |
3 |
Incorrect |
7 ms |
9728 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
9728 KB |
Output is correct |
2 |
Correct |
7 ms |
9728 KB |
Output is correct |
3 |
Incorrect |
7 ms |
9728 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |