#include <iostream>
#include <vector>
#include <set>
#include <algorithm>
#include <cassert>
using namespace std;
const int maxN = 100'000;
vector<int> label(1+maxN);
set<int> out_edge[1+maxN]; //label to label
set<int> in_edge[1+maxN];
vector<int> label_list[1+maxN];
set<int> in_count[1+maxN];
// vector<int> in_count(1+maxN, 0);
int sz(int u)
{
return int(label_list[u].size());
}
long long answer = 0;
long long comp(int u)
{
u = label[u];
return (long long)(in_count[u].size()) * (long long)(label_list[u].size());
}
void insert_in(int B, int A)
{
answer -= comp(label[B]);
in_count[label[B]].insert(A);
answer += comp(label[B]);
}
void join(int u, int v)
{
u = label[u];
v = label[v];
answer -= comp(u);
answer -= comp(v);
out_edge[u].erase(v);
out_edge[v].erase(u);
in_edge[u].erase(v);
in_edge[v].erase(u);
if(sz(u) < sz(v)) swap(u, v);
for(int l: label_list[v])
{
label_list[u].push_back(l);
label[l] = u;
}
for(int ic: in_count[v]) in_count[u].insert(ic);
for(int o: out_edge[v])
{
out_edge[u].insert(o);
in_edge[o].erase(v);
in_edge[o].insert(u);
assert(label[o] == o);
}
for(int i: in_edge[v])
{
out_edge[i].erase(v);
out_edge[i].insert(u);
assert(label[i] == i);
}
answer += comp(u);
in_count[v].clear();
label_list[v].clear();
out_edge[v].clear();
in_edge[v].clear();
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int N, M;
cin >> N >> M;
for(int i = 1; i <= N; i++)
{
label[i] = i;
label_list[i].push_back(i);
in_count[i].insert(i);
}
for(int j = 1; j <= M; j++)
{
int A, B;
cin >> A >> B;
insert_in(B, A);
A = label[A];
B = label[B];
if(A != B)
{
out_edge[A].insert(B);
in_edge[B].insert(A);
if(out_edge[B].find(A) != out_edge[B].end())
{
join(A, B);
}
}
cout << answer << '\n';
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
17100 KB |
Output is correct |
2 |
Correct |
8 ms |
17100 KB |
Output is correct |
3 |
Incorrect |
8 ms |
17100 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
17100 KB |
Output is correct |
2 |
Correct |
8 ms |
17100 KB |
Output is correct |
3 |
Incorrect |
8 ms |
17100 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
17100 KB |
Output is correct |
2 |
Correct |
8 ms |
17100 KB |
Output is correct |
3 |
Incorrect |
8 ms |
17100 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |