#include <bits/stdc++.h>
using namespace std;
vector<set<unsigned>> g, rg, pre;
vector<int> d;
queue<pair<unsigned, unsigned>> q;
int64_t x = 0;
int representant(int u)
{
return d[u] < 0 ? u : (d[u] = representant(d[u]));
}
size_t total_edge_count(unsigned u)
{
return g[u].size() + rg[u].size() + pre[u].size();
}
void insert_weak_connection(unsigned u, unsigned v)
{
g[u].insert(v);
rg[v].insert(u);
if (g[v].find(u) != g[v].end())
q.emplace(u, v);
}
void merge(unsigned u, unsigned v)
{
if (u == v)
return;
if (total_edge_count(u) < total_edge_count(v)) // Make u the larger component.
swap(u, v);
x -= d[u] * pre[v].size() + d[v] * pre[u].size();
d[u] += d[v];
d[v] = u;
for (unsigned const &y : pre[v])
if (pre[u].find(y) != pre[u].end())
x += d[u];
else
pre[u].insert(y);
g[u].erase(v);
g[v].erase(u);
rg[u].erase(v);
rg[v].erase(u);
for (unsigned const &y : g[v])
{
rg[y].erase(v);
insert_weak_connection(u, y);
}
for (unsigned const &y : rg[v])
{
g[y].erase(v);
insert_weak_connection(y, u);
}
}
int main()
{
cin.tie(0);
ios_base::sync_with_stdio(0);
size_t n, m;
cin >> n >> m;
g = vector<set<unsigned>>(n);
rg = vector<set<unsigned>>(n);
pre = vector<set<unsigned>>(n);
d = vector<int>(n, -1);
for (unsigned i = 0; i < n; i++)
pre[i].insert(i);
for (size_t i = 0; i < m; i++)
{
unsigned u, v;
cin >> u >> v;
u--, v--;
v = representant(v);
if (representant(u) != v && pre[v].find(u) == pre[v].end())
{
pre[v].insert(u);
x -= d[v];
u = representant(u);
insert_weak_connection(u, v);
while (!q.empty())
{
auto const [a, b] = q.front();
q.pop();
merge(a, b);
}
}
cout << x << '\n';
}
}
Compilation message
joitter2.cpp: In function 'int main()':
joitter2.cpp:84:29: warning: comparison of integer expressions of different signedness: 'int' and 'unsigned int' [-Wsign-compare]
84 | if (representant(u) != v && pre[v].find(u) == pre[v].end())
| ~~~~~~~~~~~~~~~~^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Runtime error |
812 ms |
1048576 KB |
Execution killed with signal 9 |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Runtime error |
812 ms |
1048576 KB |
Execution killed with signal 9 |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Runtime error |
812 ms |
1048576 KB |
Execution killed with signal 9 |
8 |
Halted |
0 ms |
0 KB |
- |