#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, b;
int p[100010];
ll sz[100010];
set<int> in[100010], out[100010], c[100010];
ll ans;
vector<pii> q;
int Find(int a) {
return p[a] = a == p[a] ? a : Find(p[a]);
}
void Union(int a, int b) {
a = Find(a);
b = Find(b);
if(a == b) return;
if(sz[a] < sz[b]) swap(a, b);
ans -= sz[a] * (sz[a]-1) + sz[b] * (sz[b] - 1);
ans -= sz[a] * in[a].size();
ans -= 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]) {
if(Find(i) == a) continue;
out[a].insert(Find(i));
if(out[Find(i)].find(a) != out[Find(i)].end()) {
q.eb(a, Find(i));
}
}
out[b].clear();
for(auto i : in[b]) {
if(Find(i) == a) continue;
in[a].insert(i);
out[Find(i)].insert(a);
if(out[a].find(Find(i)) != out[a].end()) {
q.eb(a, Find(i));
}
}
in[b].clear();
vector<int> v;
for(auto i : c[b]) {
if(in[a].find(i) != in[a].end()) v.eb(i);
c[a].insert(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, c[i].insert(i);
for(int i=1; i<=m; i++) {
cin >> a >> b;
if(Find(a) == Find(b) || in[Find(b)].find(a) != in[Find(b)].end()) {
cout << ans << "\n";
continue;
}
in[Find(b)].insert(a);
out[Find(a)].insert(Find(b));
ans += sz[Find(b)];
if(out[Find(b)].find(Find(a)) != out[Find(b)].end()) {
q.eb(a, b);
}
while(q.size()) {
auto x = q.back();
q.pop_back();
Union(x.fi, x.se);
}
cout << ans << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
14464 KB |
Output is correct |
2 |
Correct |
10 ms |
14464 KB |
Output is correct |
3 |
Correct |
10 ms |
14464 KB |
Output is correct |
4 |
Correct |
10 ms |
14464 KB |
Output is correct |
5 |
Correct |
10 ms |
14464 KB |
Output is correct |
6 |
Correct |
10 ms |
14404 KB |
Output is correct |
7 |
Correct |
11 ms |
14464 KB |
Output is correct |
8 |
Correct |
11 ms |
14464 KB |
Output is correct |
9 |
Correct |
11 ms |
14464 KB |
Output is correct |
10 |
Correct |
10 ms |
14464 KB |
Output is correct |
11 |
Correct |
10 ms |
14464 KB |
Output is correct |
12 |
Correct |
11 ms |
14464 KB |
Output is correct |
13 |
Correct |
10 ms |
14464 KB |
Output is correct |
14 |
Correct |
10 ms |
14464 KB |
Output is correct |
15 |
Correct |
10 ms |
14464 KB |
Output is correct |
16 |
Correct |
10 ms |
14464 KB |
Output is correct |
17 |
Correct |
10 ms |
14464 KB |
Output is correct |
18 |
Correct |
10 ms |
14464 KB |
Output is correct |
19 |
Correct |
10 ms |
14464 KB |
Output is correct |
20 |
Correct |
10 ms |
14464 KB |
Output is correct |
21 |
Correct |
13 ms |
14464 KB |
Output is correct |
22 |
Correct |
10 ms |
14464 KB |
Output is correct |
23 |
Correct |
12 ms |
14464 KB |
Output is correct |
24 |
Correct |
11 ms |
14464 KB |
Output is correct |
25 |
Correct |
11 ms |
14464 KB |
Output is correct |
26 |
Correct |
10 ms |
14464 KB |
Output is correct |
27 |
Correct |
10 ms |
14464 KB |
Output is correct |
28 |
Correct |
10 ms |
14464 KB |
Output is correct |
29 |
Correct |
10 ms |
14464 KB |
Output is correct |
30 |
Correct |
10 ms |
14464 KB |
Output is correct |
31 |
Correct |
10 ms |
14464 KB |
Output is correct |
32 |
Correct |
10 ms |
14464 KB |
Output is correct |
33 |
Correct |
10 ms |
14464 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
14464 KB |
Output is correct |
2 |
Correct |
10 ms |
14464 KB |
Output is correct |
3 |
Correct |
10 ms |
14464 KB |
Output is correct |
4 |
Correct |
10 ms |
14464 KB |
Output is correct |
5 |
Correct |
10 ms |
14464 KB |
Output is correct |
6 |
Correct |
10 ms |
14404 KB |
Output is correct |
7 |
Correct |
11 ms |
14464 KB |
Output is correct |
8 |
Correct |
11 ms |
14464 KB |
Output is correct |
9 |
Correct |
11 ms |
14464 KB |
Output is correct |
10 |
Correct |
10 ms |
14464 KB |
Output is correct |
11 |
Correct |
10 ms |
14464 KB |
Output is correct |
12 |
Correct |
11 ms |
14464 KB |
Output is correct |
13 |
Correct |
10 ms |
14464 KB |
Output is correct |
14 |
Correct |
10 ms |
14464 KB |
Output is correct |
15 |
Correct |
10 ms |
14464 KB |
Output is correct |
16 |
Correct |
10 ms |
14464 KB |
Output is correct |
17 |
Correct |
10 ms |
14464 KB |
Output is correct |
18 |
Correct |
10 ms |
14464 KB |
Output is correct |
19 |
Correct |
10 ms |
14464 KB |
Output is correct |
20 |
Correct |
10 ms |
14464 KB |
Output is correct |
21 |
Correct |
13 ms |
14464 KB |
Output is correct |
22 |
Correct |
10 ms |
14464 KB |
Output is correct |
23 |
Correct |
12 ms |
14464 KB |
Output is correct |
24 |
Correct |
11 ms |
14464 KB |
Output is correct |
25 |
Correct |
11 ms |
14464 KB |
Output is correct |
26 |
Correct |
10 ms |
14464 KB |
Output is correct |
27 |
Correct |
10 ms |
14464 KB |
Output is correct |
28 |
Correct |
10 ms |
14464 KB |
Output is correct |
29 |
Correct |
10 ms |
14464 KB |
Output is correct |
30 |
Correct |
10 ms |
14464 KB |
Output is correct |
31 |
Correct |
10 ms |
14464 KB |
Output is correct |
32 |
Correct |
10 ms |
14464 KB |
Output is correct |
33 |
Correct |
10 ms |
14464 KB |
Output is correct |
34 |
Correct |
12 ms |
14592 KB |
Output is correct |
35 |
Correct |
93 ms |
19976 KB |
Output is correct |
36 |
Correct |
118 ms |
22264 KB |
Output is correct |
37 |
Correct |
114 ms |
22136 KB |
Output is correct |
38 |
Correct |
112 ms |
22008 KB |
Output is correct |
39 |
Correct |
13 ms |
14848 KB |
Output is correct |
40 |
Correct |
15 ms |
14976 KB |
Output is correct |
41 |
Correct |
15 ms |
14976 KB |
Output is correct |
42 |
Correct |
13 ms |
14848 KB |
Output is correct |
43 |
Correct |
14 ms |
14848 KB |
Output is correct |
44 |
Correct |
14 ms |
14848 KB |
Output is correct |
45 |
Correct |
13 ms |
14848 KB |
Output is correct |
46 |
Correct |
13 ms |
14848 KB |
Output is correct |
47 |
Correct |
15 ms |
14848 KB |
Output is correct |
48 |
Correct |
15 ms |
14848 KB |
Output is correct |
49 |
Correct |
21 ms |
15360 KB |
Output is correct |
50 |
Correct |
115 ms |
22260 KB |
Output is correct |
51 |
Correct |
17 ms |
14976 KB |
Output is correct |
52 |
Correct |
104 ms |
20984 KB |
Output is correct |
53 |
Correct |
20 ms |
15352 KB |
Output is correct |
54 |
Correct |
124 ms |
21572 KB |
Output is correct |
55 |
Correct |
15 ms |
14976 KB |
Output is correct |
56 |
Correct |
15 ms |
14976 KB |
Output is correct |
57 |
Correct |
15 ms |
14976 KB |
Output is correct |
58 |
Correct |
15 ms |
14976 KB |
Output is correct |
59 |
Correct |
15 ms |
15104 KB |
Output is correct |
60 |
Correct |
96 ms |
20052 KB |
Output is correct |
61 |
Correct |
16 ms |
14848 KB |
Output is correct |
62 |
Correct |
109 ms |
21756 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
14464 KB |
Output is correct |
2 |
Correct |
10 ms |
14464 KB |
Output is correct |
3 |
Correct |
10 ms |
14464 KB |
Output is correct |
4 |
Correct |
10 ms |
14464 KB |
Output is correct |
5 |
Correct |
10 ms |
14464 KB |
Output is correct |
6 |
Correct |
10 ms |
14404 KB |
Output is correct |
7 |
Correct |
11 ms |
14464 KB |
Output is correct |
8 |
Correct |
11 ms |
14464 KB |
Output is correct |
9 |
Correct |
11 ms |
14464 KB |
Output is correct |
10 |
Correct |
10 ms |
14464 KB |
Output is correct |
11 |
Correct |
10 ms |
14464 KB |
Output is correct |
12 |
Correct |
11 ms |
14464 KB |
Output is correct |
13 |
Correct |
10 ms |
14464 KB |
Output is correct |
14 |
Correct |
10 ms |
14464 KB |
Output is correct |
15 |
Correct |
10 ms |
14464 KB |
Output is correct |
16 |
Correct |
10 ms |
14464 KB |
Output is correct |
17 |
Correct |
10 ms |
14464 KB |
Output is correct |
18 |
Correct |
10 ms |
14464 KB |
Output is correct |
19 |
Correct |
10 ms |
14464 KB |
Output is correct |
20 |
Correct |
10 ms |
14464 KB |
Output is correct |
21 |
Correct |
13 ms |
14464 KB |
Output is correct |
22 |
Correct |
10 ms |
14464 KB |
Output is correct |
23 |
Correct |
12 ms |
14464 KB |
Output is correct |
24 |
Correct |
11 ms |
14464 KB |
Output is correct |
25 |
Correct |
11 ms |
14464 KB |
Output is correct |
26 |
Correct |
10 ms |
14464 KB |
Output is correct |
27 |
Correct |
10 ms |
14464 KB |
Output is correct |
28 |
Correct |
10 ms |
14464 KB |
Output is correct |
29 |
Correct |
10 ms |
14464 KB |
Output is correct |
30 |
Correct |
10 ms |
14464 KB |
Output is correct |
31 |
Correct |
10 ms |
14464 KB |
Output is correct |
32 |
Correct |
10 ms |
14464 KB |
Output is correct |
33 |
Correct |
10 ms |
14464 KB |
Output is correct |
34 |
Correct |
12 ms |
14592 KB |
Output is correct |
35 |
Correct |
93 ms |
19976 KB |
Output is correct |
36 |
Correct |
118 ms |
22264 KB |
Output is correct |
37 |
Correct |
114 ms |
22136 KB |
Output is correct |
38 |
Correct |
112 ms |
22008 KB |
Output is correct |
39 |
Correct |
13 ms |
14848 KB |
Output is correct |
40 |
Correct |
15 ms |
14976 KB |
Output is correct |
41 |
Correct |
15 ms |
14976 KB |
Output is correct |
42 |
Correct |
13 ms |
14848 KB |
Output is correct |
43 |
Correct |
14 ms |
14848 KB |
Output is correct |
44 |
Correct |
14 ms |
14848 KB |
Output is correct |
45 |
Correct |
13 ms |
14848 KB |
Output is correct |
46 |
Correct |
13 ms |
14848 KB |
Output is correct |
47 |
Correct |
15 ms |
14848 KB |
Output is correct |
48 |
Correct |
15 ms |
14848 KB |
Output is correct |
49 |
Correct |
21 ms |
15360 KB |
Output is correct |
50 |
Correct |
115 ms |
22260 KB |
Output is correct |
51 |
Correct |
17 ms |
14976 KB |
Output is correct |
52 |
Correct |
104 ms |
20984 KB |
Output is correct |
53 |
Correct |
20 ms |
15352 KB |
Output is correct |
54 |
Correct |
124 ms |
21572 KB |
Output is correct |
55 |
Correct |
15 ms |
14976 KB |
Output is correct |
56 |
Correct |
15 ms |
14976 KB |
Output is correct |
57 |
Correct |
15 ms |
14976 KB |
Output is correct |
58 |
Correct |
15 ms |
14976 KB |
Output is correct |
59 |
Correct |
15 ms |
15104 KB |
Output is correct |
60 |
Correct |
96 ms |
20052 KB |
Output is correct |
61 |
Correct |
16 ms |
14848 KB |
Output is correct |
62 |
Correct |
109 ms |
21756 KB |
Output is correct |
63 |
Correct |
473 ms |
53880 KB |
Output is correct |
64 |
Correct |
476 ms |
53880 KB |
Output is correct |
65 |
Correct |
479 ms |
54136 KB |
Output is correct |
66 |
Correct |
298 ms |
34296 KB |
Output is correct |
67 |
Correct |
541 ms |
51704 KB |
Output is correct |
68 |
Correct |
297 ms |
34296 KB |
Output is correct |
69 |
Correct |
528 ms |
34168 KB |
Output is correct |
70 |
Correct |
309 ms |
34100 KB |
Output is correct |
71 |
Correct |
329 ms |
34180 KB |
Output is correct |
72 |
Correct |
579 ms |
36856 KB |
Output is correct |
73 |
Correct |
578 ms |
38136 KB |
Output is correct |
74 |
Correct |
1116 ms |
48368 KB |
Output is correct |
75 |
Correct |
675 ms |
37496 KB |
Output is correct |
76 |
Correct |
851 ms |
42872 KB |
Output is correct |
77 |
Correct |
847 ms |
43128 KB |
Output is correct |
78 |
Correct |
250 ms |
33016 KB |
Output is correct |
79 |
Correct |
451 ms |
37496 KB |
Output is correct |
80 |
Correct |
283 ms |
33016 KB |
Output is correct |
81 |
Correct |
520 ms |
36856 KB |
Output is correct |
82 |
Correct |
712 ms |
42744 KB |
Output is correct |
83 |
Correct |
718 ms |
42744 KB |
Output is correct |
84 |
Correct |
639 ms |
42744 KB |
Output is correct |
85 |
Correct |
625 ms |
42744 KB |
Output is correct |
86 |
Correct |
399 ms |
62160 KB |
Output is correct |
87 |
Correct |
442 ms |
64504 KB |
Output is correct |
88 |
Correct |
574 ms |
37368 KB |
Output is correct |
89 |
Correct |
814 ms |
41592 KB |
Output is correct |