#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(find_root(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 |
10 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 |
9 ms |
12140 KB |
Output is correct |
6 |
Correct |
8 ms |
12140 KB |
Output is correct |
7 |
Correct |
9 ms |
12140 KB |
Output is correct |
8 |
Correct |
9 ms |
12140 KB |
Output is correct |
9 |
Correct |
9 ms |
12268 KB |
Output is correct |
10 |
Correct |
8 ms |
12140 KB |
Output is correct |
11 |
Correct |
8 ms |
12140 KB |
Output is correct |
12 |
Correct |
8 ms |
12140 KB |
Output is correct |
13 |
Correct |
8 ms |
12140 KB |
Output is correct |
14 |
Correct |
8 ms |
12140 KB |
Output is correct |
15 |
Correct |
8 ms |
12140 KB |
Output is correct |
16 |
Correct |
10 ms |
12140 KB |
Output is correct |
17 |
Correct |
8 ms |
12140 KB |
Output is correct |
18 |
Correct |
8 ms |
12140 KB |
Output is correct |
19 |
Correct |
8 ms |
12140 KB |
Output is correct |
20 |
Correct |
8 ms |
12140 KB |
Output is correct |
21 |
Correct |
9 ms |
12140 KB |
Output is correct |
22 |
Correct |
8 ms |
12140 KB |
Output is correct |
23 |
Correct |
8 ms |
12160 KB |
Output is correct |
24 |
Correct |
8 ms |
12140 KB |
Output is correct |
25 |
Correct |
10 ms |
12140 KB |
Output is correct |
26 |
Correct |
8 ms |
12140 KB |
Output is correct |
27 |
Correct |
8 ms |
12140 KB |
Output is correct |
28 |
Correct |
8 ms |
12140 KB |
Output is correct |
29 |
Correct |
8 ms |
12140 KB |
Output is correct |
30 |
Correct |
8 ms |
12140 KB |
Output is correct |
31 |
Correct |
9 ms |
12140 KB |
Output is correct |
32 |
Correct |
8 ms |
12140 KB |
Output is correct |
33 |
Correct |
9 ms |
12140 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
12140 KB |
Output is correct |
2 |
Correct |
10 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 |
9 ms |
12140 KB |
Output is correct |
6 |
Correct |
8 ms |
12140 KB |
Output is correct |
7 |
Correct |
9 ms |
12140 KB |
Output is correct |
8 |
Correct |
9 ms |
12140 KB |
Output is correct |
9 |
Correct |
9 ms |
12268 KB |
Output is correct |
10 |
Correct |
8 ms |
12140 KB |
Output is correct |
11 |
Correct |
8 ms |
12140 KB |
Output is correct |
12 |
Correct |
8 ms |
12140 KB |
Output is correct |
13 |
Correct |
8 ms |
12140 KB |
Output is correct |
14 |
Correct |
8 ms |
12140 KB |
Output is correct |
15 |
Correct |
8 ms |
12140 KB |
Output is correct |
16 |
Correct |
10 ms |
12140 KB |
Output is correct |
17 |
Correct |
8 ms |
12140 KB |
Output is correct |
18 |
Correct |
8 ms |
12140 KB |
Output is correct |
19 |
Correct |
8 ms |
12140 KB |
Output is correct |
20 |
Correct |
8 ms |
12140 KB |
Output is correct |
21 |
Correct |
9 ms |
12140 KB |
Output is correct |
22 |
Correct |
8 ms |
12140 KB |
Output is correct |
23 |
Correct |
8 ms |
12160 KB |
Output is correct |
24 |
Correct |
8 ms |
12140 KB |
Output is correct |
25 |
Correct |
10 ms |
12140 KB |
Output is correct |
26 |
Correct |
8 ms |
12140 KB |
Output is correct |
27 |
Correct |
8 ms |
12140 KB |
Output is correct |
28 |
Correct |
8 ms |
12140 KB |
Output is correct |
29 |
Correct |
8 ms |
12140 KB |
Output is correct |
30 |
Correct |
8 ms |
12140 KB |
Output is correct |
31 |
Correct |
9 ms |
12140 KB |
Output is correct |
32 |
Correct |
8 ms |
12140 KB |
Output is correct |
33 |
Correct |
9 ms |
12140 KB |
Output is correct |
34 |
Correct |
11 ms |
12268 KB |
Output is correct |
35 |
Correct |
93 ms |
17644 KB |
Output is correct |
36 |
Correct |
114 ms |
19460 KB |
Output is correct |
37 |
Correct |
113 ms |
19560 KB |
Output is correct |
38 |
Correct |
110 ms |
19308 KB |
Output is correct |
39 |
Correct |
11 ms |
12396 KB |
Output is correct |
40 |
Correct |
12 ms |
12572 KB |
Output is correct |
41 |
Correct |
12 ms |
12524 KB |
Output is correct |
42 |
Correct |
10 ms |
12396 KB |
Output is correct |
43 |
Correct |
11 ms |
12396 KB |
Output is correct |
44 |
Correct |
11 ms |
12396 KB |
Output is correct |
45 |
Correct |
10 ms |
12396 KB |
Output is correct |
46 |
Correct |
10 ms |
12396 KB |
Output is correct |
47 |
Correct |
11 ms |
12524 KB |
Output is correct |
48 |
Correct |
12 ms |
12524 KB |
Output is correct |
49 |
Correct |
17 ms |
13036 KB |
Output is correct |
50 |
Correct |
114 ms |
19588 KB |
Output is correct |
51 |
Correct |
15 ms |
12652 KB |
Output is correct |
52 |
Correct |
110 ms |
18412 KB |
Output is correct |
53 |
Correct |
16 ms |
13036 KB |
Output is correct |
54 |
Correct |
111 ms |
18924 KB |
Output is correct |
55 |
Correct |
14 ms |
12652 KB |
Output is correct |
56 |
Correct |
14 ms |
12652 KB |
Output is correct |
57 |
Correct |
12 ms |
12652 KB |
Output is correct |
58 |
Correct |
12 ms |
12652 KB |
Output is correct |
59 |
Correct |
11 ms |
12524 KB |
Output is correct |
60 |
Correct |
93 ms |
17132 KB |
Output is correct |
61 |
Correct |
13 ms |
12524 KB |
Output is correct |
62 |
Correct |
115 ms |
19180 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
12140 KB |
Output is correct |
2 |
Correct |
10 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 |
9 ms |
12140 KB |
Output is correct |
6 |
Correct |
8 ms |
12140 KB |
Output is correct |
7 |
Correct |
9 ms |
12140 KB |
Output is correct |
8 |
Correct |
9 ms |
12140 KB |
Output is correct |
9 |
Correct |
9 ms |
12268 KB |
Output is correct |
10 |
Correct |
8 ms |
12140 KB |
Output is correct |
11 |
Correct |
8 ms |
12140 KB |
Output is correct |
12 |
Correct |
8 ms |
12140 KB |
Output is correct |
13 |
Correct |
8 ms |
12140 KB |
Output is correct |
14 |
Correct |
8 ms |
12140 KB |
Output is correct |
15 |
Correct |
8 ms |
12140 KB |
Output is correct |
16 |
Correct |
10 ms |
12140 KB |
Output is correct |
17 |
Correct |
8 ms |
12140 KB |
Output is correct |
18 |
Correct |
8 ms |
12140 KB |
Output is correct |
19 |
Correct |
8 ms |
12140 KB |
Output is correct |
20 |
Correct |
8 ms |
12140 KB |
Output is correct |
21 |
Correct |
9 ms |
12140 KB |
Output is correct |
22 |
Correct |
8 ms |
12140 KB |
Output is correct |
23 |
Correct |
8 ms |
12160 KB |
Output is correct |
24 |
Correct |
8 ms |
12140 KB |
Output is correct |
25 |
Correct |
10 ms |
12140 KB |
Output is correct |
26 |
Correct |
8 ms |
12140 KB |
Output is correct |
27 |
Correct |
8 ms |
12140 KB |
Output is correct |
28 |
Correct |
8 ms |
12140 KB |
Output is correct |
29 |
Correct |
8 ms |
12140 KB |
Output is correct |
30 |
Correct |
8 ms |
12140 KB |
Output is correct |
31 |
Correct |
9 ms |
12140 KB |
Output is correct |
32 |
Correct |
8 ms |
12140 KB |
Output is correct |
33 |
Correct |
9 ms |
12140 KB |
Output is correct |
34 |
Correct |
11 ms |
12268 KB |
Output is correct |
35 |
Correct |
93 ms |
17644 KB |
Output is correct |
36 |
Correct |
114 ms |
19460 KB |
Output is correct |
37 |
Correct |
113 ms |
19560 KB |
Output is correct |
38 |
Correct |
110 ms |
19308 KB |
Output is correct |
39 |
Correct |
11 ms |
12396 KB |
Output is correct |
40 |
Correct |
12 ms |
12572 KB |
Output is correct |
41 |
Correct |
12 ms |
12524 KB |
Output is correct |
42 |
Correct |
10 ms |
12396 KB |
Output is correct |
43 |
Correct |
11 ms |
12396 KB |
Output is correct |
44 |
Correct |
11 ms |
12396 KB |
Output is correct |
45 |
Correct |
10 ms |
12396 KB |
Output is correct |
46 |
Correct |
10 ms |
12396 KB |
Output is correct |
47 |
Correct |
11 ms |
12524 KB |
Output is correct |
48 |
Correct |
12 ms |
12524 KB |
Output is correct |
49 |
Correct |
17 ms |
13036 KB |
Output is correct |
50 |
Correct |
114 ms |
19588 KB |
Output is correct |
51 |
Correct |
15 ms |
12652 KB |
Output is correct |
52 |
Correct |
110 ms |
18412 KB |
Output is correct |
53 |
Correct |
16 ms |
13036 KB |
Output is correct |
54 |
Correct |
111 ms |
18924 KB |
Output is correct |
55 |
Correct |
14 ms |
12652 KB |
Output is correct |
56 |
Correct |
14 ms |
12652 KB |
Output is correct |
57 |
Correct |
12 ms |
12652 KB |
Output is correct |
58 |
Correct |
12 ms |
12652 KB |
Output is correct |
59 |
Correct |
11 ms |
12524 KB |
Output is correct |
60 |
Correct |
93 ms |
17132 KB |
Output is correct |
61 |
Correct |
13 ms |
12524 KB |
Output is correct |
62 |
Correct |
115 ms |
19180 KB |
Output is correct |
63 |
Correct |
417 ms |
48492 KB |
Output is correct |
64 |
Correct |
432 ms |
48620 KB |
Output is correct |
65 |
Correct |
436 ms |
48492 KB |
Output is correct |
66 |
Correct |
171 ms |
29448 KB |
Output is correct |
67 |
Correct |
324 ms |
35412 KB |
Output is correct |
68 |
Correct |
162 ms |
29540 KB |
Output is correct |
69 |
Correct |
373 ms |
29412 KB |
Output is correct |
70 |
Correct |
190 ms |
29540 KB |
Output is correct |
71 |
Correct |
174 ms |
29560 KB |
Output is correct |
72 |
Correct |
344 ms |
33512 KB |
Output is correct |
73 |
Correct |
350 ms |
34024 KB |
Output is correct |
74 |
Correct |
772 ms |
53216 KB |
Output is correct |
75 |
Correct |
507 ms |
34276 KB |
Output is correct |
76 |
Correct |
568 ms |
41848 KB |
Output is correct |
77 |
Correct |
577 ms |
42132 KB |
Output is correct |
78 |
Correct |
210 ms |
29672 KB |
Output is correct |
79 |
Correct |
343 ms |
34948 KB |
Output is correct |
80 |
Correct |
191 ms |
29544 KB |
Output is correct |
81 |
Correct |
327 ms |
33124 KB |
Output is correct |
82 |
Correct |
464 ms |
40296 KB |
Output is correct |
83 |
Correct |
461 ms |
40168 KB |
Output is correct |
84 |
Correct |
414 ms |
40172 KB |
Output is correct |
85 |
Correct |
405 ms |
40168 KB |
Output is correct |
86 |
Correct |
206 ms |
33456 KB |
Output is correct |
87 |
Correct |
244 ms |
35084 KB |
Output is correct |
88 |
Correct |
335 ms |
33640 KB |
Output is correct |
89 |
Correct |
567 ms |
40808 KB |
Output is correct |