#include <bits/stdc++.h>
#define ll long long
using namespace std;
inline bool isin(ll a, set<ll>& s) {
return s.find(a) != s.end();
}
int main() {
ll n, m, i, a, b, ans = 0;
cin >> n >> m;
vector<vector<ll>> queries(m, vector<ll>(2));
for (i = 0; i < m; i++) cin >> queries[i][0] >> queries[i][1];
vector<set<ll>> A(n + 1), AB(n + 1), f(n + 1), rf(n + 1);
vector<ll> root(n + 1);
queue<pair<ll, ll>> tomerge;
ll cura, curb;
for (i = 0; i <= n; i++) {
A[i].insert(i);
AB[i].insert(i);
root[i] = i;
}
for (i = 0; i < m; i++) {
a = queries[i][0];
b = queries[i][1];
f[root[a]].insert(root[b]);
rf[root[b]].insert(root[a]);
if (not isin(a, AB[root[b]])) {
AB[root[b]].insert(a);
ans += A[root[b]].size();
}
if (isin(root[a], f[root[b]]) and root[a] != root[b]) tomerge.push(make_pair(root[a], root[b]));
while (not tomerge.empty()) {
cura = root[tomerge.front().first];
curb = root[tomerge.front().second];
tomerge.pop();
if (cura == curb) continue;
ans -= A[cura].size() * (AB[cura].size() - 1);
ans -= A[curb].size() * (AB[curb].size() - 1);
if (AB[cura].size() < AB[curb].size()) swap(cura, curb);
for (ll elem : AB[curb]) AB[cura].insert(elem);
for (ll elem : A[curb]) A[cura].insert(elem);
ans += A[cura].size() * (AB[cura].size() - 1);
f[cura].erase(curb);
for (ll elem : f[curb]) {
if (elem == cura) {
rf[cura].erase(curb);
continue;
}
f[cura].insert(elem);
rf[elem].insert(cura);
rf[elem].erase(curb);
if (isin(cura, f[elem])) tomerge.push(make_pair(elem, cura));
}
for (ll elem : rf[curb]) {
if (elem == cura) continue;
f[elem].insert(cura);
f[elem].erase(curb);
rf[cura].insert(elem);
if (isin(elem, f[cura])) tomerge.push(make_pair(elem, cura));
}
for (ll elem : A[curb]) root[elem] = cura;
}
cout << ans << endl;
}
return 0;
}
/*
8 14
1 2
2 1
3 4
4 3
5 6
6 5
7 8
8 7
1 5
1 3
6 3
4 8
7 6
3 2
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
4 ms |
604 KB |
Output is correct |
8 |
Correct |
4 ms |
604 KB |
Output is correct |
9 |
Correct |
4 ms |
616 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
4 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
2 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
3 ms |
344 KB |
Output is correct |
26 |
Correct |
0 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
4 ms |
604 KB |
Output is correct |
8 |
Correct |
4 ms |
604 KB |
Output is correct |
9 |
Correct |
4 ms |
616 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
4 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
2 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
3 ms |
344 KB |
Output is correct |
26 |
Correct |
0 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
34 |
Correct |
15 ms |
1120 KB |
Output is correct |
35 |
Correct |
464 ms |
20716 KB |
Output is correct |
36 |
Correct |
501 ms |
23524 KB |
Output is correct |
37 |
Correct |
498 ms |
23412 KB |
Output is correct |
38 |
Correct |
495 ms |
23016 KB |
Output is correct |
39 |
Correct |
8 ms |
1628 KB |
Output is correct |
40 |
Correct |
12 ms |
2352 KB |
Output is correct |
41 |
Correct |
10 ms |
2140 KB |
Output is correct |
42 |
Correct |
8 ms |
1624 KB |
Output is correct |
43 |
Correct |
9 ms |
1628 KB |
Output is correct |
44 |
Correct |
9 ms |
1572 KB |
Output is correct |
45 |
Correct |
8 ms |
1628 KB |
Output is correct |
46 |
Correct |
8 ms |
1628 KB |
Output is correct |
47 |
Correct |
10 ms |
1832 KB |
Output is correct |
48 |
Correct |
10 ms |
1884 KB |
Output is correct |
49 |
Correct |
23 ms |
2652 KB |
Output is correct |
50 |
Correct |
502 ms |
23968 KB |
Output is correct |
51 |
Correct |
20 ms |
2140 KB |
Output is correct |
52 |
Correct |
478 ms |
22096 KB |
Output is correct |
53 |
Correct |
22 ms |
2652 KB |
Output is correct |
54 |
Correct |
484 ms |
22744 KB |
Output is correct |
55 |
Correct |
10 ms |
1884 KB |
Output is correct |
56 |
Correct |
10 ms |
1812 KB |
Output is correct |
57 |
Correct |
13 ms |
2140 KB |
Output is correct |
58 |
Correct |
10 ms |
1884 KB |
Output is correct |
59 |
Correct |
11 ms |
2396 KB |
Output is correct |
60 |
Correct |
474 ms |
21052 KB |
Output is correct |
61 |
Correct |
11 ms |
1884 KB |
Output is correct |
62 |
Correct |
500 ms |
22868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
4 ms |
604 KB |
Output is correct |
8 |
Correct |
4 ms |
604 KB |
Output is correct |
9 |
Correct |
4 ms |
616 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
4 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
2 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
3 ms |
344 KB |
Output is correct |
26 |
Correct |
0 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
34 |
Correct |
15 ms |
1120 KB |
Output is correct |
35 |
Correct |
464 ms |
20716 KB |
Output is correct |
36 |
Correct |
501 ms |
23524 KB |
Output is correct |
37 |
Correct |
498 ms |
23412 KB |
Output is correct |
38 |
Correct |
495 ms |
23016 KB |
Output is correct |
39 |
Correct |
8 ms |
1628 KB |
Output is correct |
40 |
Correct |
12 ms |
2352 KB |
Output is correct |
41 |
Correct |
10 ms |
2140 KB |
Output is correct |
42 |
Correct |
8 ms |
1624 KB |
Output is correct |
43 |
Correct |
9 ms |
1628 KB |
Output is correct |
44 |
Correct |
9 ms |
1572 KB |
Output is correct |
45 |
Correct |
8 ms |
1628 KB |
Output is correct |
46 |
Correct |
8 ms |
1628 KB |
Output is correct |
47 |
Correct |
10 ms |
1832 KB |
Output is correct |
48 |
Correct |
10 ms |
1884 KB |
Output is correct |
49 |
Correct |
23 ms |
2652 KB |
Output is correct |
50 |
Correct |
502 ms |
23968 KB |
Output is correct |
51 |
Correct |
20 ms |
2140 KB |
Output is correct |
52 |
Correct |
478 ms |
22096 KB |
Output is correct |
53 |
Correct |
22 ms |
2652 KB |
Output is correct |
54 |
Correct |
484 ms |
22744 KB |
Output is correct |
55 |
Correct |
10 ms |
1884 KB |
Output is correct |
56 |
Correct |
10 ms |
1812 KB |
Output is correct |
57 |
Correct |
13 ms |
2140 KB |
Output is correct |
58 |
Correct |
10 ms |
1884 KB |
Output is correct |
59 |
Correct |
11 ms |
2396 KB |
Output is correct |
60 |
Correct |
474 ms |
21052 KB |
Output is correct |
61 |
Correct |
11 ms |
1884 KB |
Output is correct |
62 |
Correct |
500 ms |
22868 KB |
Output is correct |
63 |
Correct |
934 ms |
90260 KB |
Output is correct |
64 |
Correct |
929 ms |
90204 KB |
Output is correct |
65 |
Correct |
927 ms |
89892 KB |
Output is correct |
66 |
Correct |
549 ms |
65908 KB |
Output is correct |
67 |
Correct |
814 ms |
116044 KB |
Output is correct |
68 |
Correct |
571 ms |
65804 KB |
Output is correct |
69 |
Correct |
766 ms |
65776 KB |
Output is correct |
70 |
Correct |
563 ms |
65872 KB |
Output is correct |
71 |
Correct |
566 ms |
65876 KB |
Output is correct |
72 |
Correct |
847 ms |
84588 KB |
Output is correct |
73 |
Correct |
813 ms |
87892 KB |
Output is correct |
74 |
Correct |
1484 ms |
110176 KB |
Output is correct |
75 |
Correct |
1085 ms |
76468 KB |
Output is correct |
76 |
Correct |
1263 ms |
91352 KB |
Output is correct |
77 |
Correct |
1228 ms |
91416 KB |
Output is correct |
78 |
Correct |
508 ms |
62860 KB |
Output is correct |
79 |
Correct |
954 ms |
78748 KB |
Output is correct |
80 |
Correct |
471 ms |
59472 KB |
Output is correct |
81 |
Correct |
883 ms |
73388 KB |
Output is correct |
82 |
Correct |
1044 ms |
79224 KB |
Output is correct |
83 |
Correct |
1052 ms |
79520 KB |
Output is correct |
84 |
Correct |
906 ms |
79216 KB |
Output is correct |
85 |
Correct |
892 ms |
79064 KB |
Output is correct |
86 |
Correct |
713 ms |
132176 KB |
Output is correct |
87 |
Correct |
880 ms |
138740 KB |
Output is correct |
88 |
Correct |
834 ms |
86276 KB |
Output is correct |
89 |
Correct |
1283 ms |
89660 KB |
Output is correct |