#include <bits/stdc++.h>
using namespace std;
#define ar array
#define sz(v) int(std::size(v))
using i64 = long long;
using pii = pair<int, int>;
const int MAXN = 1e5;
int N, M;
int sz[MAXN], parent[MAXN];
list<int> vertices[MAXN];
set<int> out[MAXN], in[MAXN];
set<int> in_v[MAXN];
i64 num_edges;
int find(int i) {
return parent[i] == i ? i : parent[i] = find(parent[i]);
}
void add_edge(int i, int j) {
int x = find(i);
int y = find(j);
if (x == y) return;
if (in_v[y].count(i)) return;
in_v[y].insert(i);
num_edges += sz[y];
queue<pii> mrg;
auto ins = [&](int x, int y) {
out[x].insert(y);
in[y].insert(x);
if (out[y].count(x)) mrg.push({x, y});
};
ins(x, y);
while (sz(mrg)) {
auto [x, y] = mrg.front(); mrg.pop();
x = find(x);
y = find(y);
if (x != y) {
if (sz[x] < sz[y]) swap(x, y);
num_edges += i64(sz(in_v[x])) * sz[y];
num_edges += i64(sz(in_v[y])) * sz[x];
out[x].erase(y);
in[x].erase(y);
for (int i : exchange(in_v[y], {})) {
if (in_v[x].count(i)) num_edges -= sz[x] + sz[y];
else in_v[x].insert(i);
}
for (int i : exchange(out[y], {})) {
if (i == x) continue;
in[i].erase(y);
ins(x, i);
}
for (int i : exchange(in[y], {})) {
if (i == x) continue;
out[i].erase(y);
ins(i, x);
}
vertices[x].splice(end(vertices[x]), vertices[y]);
parent[y] = x;
sz[x] += sz[y];
}
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> N >> M;
for (int i = 0; i < N; i++) {
sz[i] = 1;
parent[i] = i;
vertices[i] = {i};
in_v[i] = {i};
}
while (M--) {
int i, j;
cin >> i >> j, i--, j--;
add_edge(i, j);
cout << num_edges << '\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
16984 KB |
Output is correct |
2 |
Correct |
3 ms |
16988 KB |
Output is correct |
3 |
Correct |
3 ms |
16988 KB |
Output is correct |
4 |
Correct |
3 ms |
16988 KB |
Output is correct |
5 |
Correct |
3 ms |
17240 KB |
Output is correct |
6 |
Correct |
3 ms |
16988 KB |
Output is correct |
7 |
Correct |
4 ms |
16988 KB |
Output is correct |
8 |
Correct |
4 ms |
17084 KB |
Output is correct |
9 |
Correct |
4 ms |
16988 KB |
Output is correct |
10 |
Correct |
3 ms |
16988 KB |
Output is correct |
11 |
Correct |
3 ms |
17044 KB |
Output is correct |
12 |
Correct |
4 ms |
16988 KB |
Output is correct |
13 |
Correct |
5 ms |
17252 KB |
Output is correct |
14 |
Correct |
3 ms |
16984 KB |
Output is correct |
15 |
Correct |
3 ms |
16988 KB |
Output is correct |
16 |
Correct |
3 ms |
17032 KB |
Output is correct |
17 |
Correct |
4 ms |
17044 KB |
Output is correct |
18 |
Correct |
4 ms |
16988 KB |
Output is correct |
19 |
Correct |
4 ms |
16988 KB |
Output is correct |
20 |
Correct |
4 ms |
16988 KB |
Output is correct |
21 |
Correct |
4 ms |
16988 KB |
Output is correct |
22 |
Correct |
4 ms |
16988 KB |
Output is correct |
23 |
Correct |
4 ms |
16988 KB |
Output is correct |
24 |
Correct |
4 ms |
16984 KB |
Output is correct |
25 |
Correct |
5 ms |
16988 KB |
Output is correct |
26 |
Correct |
4 ms |
16988 KB |
Output is correct |
27 |
Correct |
3 ms |
16988 KB |
Output is correct |
28 |
Correct |
3 ms |
16840 KB |
Output is correct |
29 |
Correct |
3 ms |
16988 KB |
Output is correct |
30 |
Correct |
4 ms |
16988 KB |
Output is correct |
31 |
Correct |
5 ms |
17060 KB |
Output is correct |
32 |
Correct |
3 ms |
16988 KB |
Output is correct |
33 |
Correct |
4 ms |
16988 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
16984 KB |
Output is correct |
2 |
Correct |
3 ms |
16988 KB |
Output is correct |
3 |
Correct |
3 ms |
16988 KB |
Output is correct |
4 |
Correct |
3 ms |
16988 KB |
Output is correct |
5 |
Correct |
3 ms |
17240 KB |
Output is correct |
6 |
Correct |
3 ms |
16988 KB |
Output is correct |
7 |
Correct |
4 ms |
16988 KB |
Output is correct |
8 |
Correct |
4 ms |
17084 KB |
Output is correct |
9 |
Correct |
4 ms |
16988 KB |
Output is correct |
10 |
Correct |
3 ms |
16988 KB |
Output is correct |
11 |
Correct |
3 ms |
17044 KB |
Output is correct |
12 |
Correct |
4 ms |
16988 KB |
Output is correct |
13 |
Correct |
5 ms |
17252 KB |
Output is correct |
14 |
Correct |
3 ms |
16984 KB |
Output is correct |
15 |
Correct |
3 ms |
16988 KB |
Output is correct |
16 |
Correct |
3 ms |
17032 KB |
Output is correct |
17 |
Correct |
4 ms |
17044 KB |
Output is correct |
18 |
Correct |
4 ms |
16988 KB |
Output is correct |
19 |
Correct |
4 ms |
16988 KB |
Output is correct |
20 |
Correct |
4 ms |
16988 KB |
Output is correct |
21 |
Correct |
4 ms |
16988 KB |
Output is correct |
22 |
Correct |
4 ms |
16988 KB |
Output is correct |
23 |
Correct |
4 ms |
16988 KB |
Output is correct |
24 |
Correct |
4 ms |
16984 KB |
Output is correct |
25 |
Correct |
5 ms |
16988 KB |
Output is correct |
26 |
Correct |
4 ms |
16988 KB |
Output is correct |
27 |
Correct |
3 ms |
16988 KB |
Output is correct |
28 |
Correct |
3 ms |
16840 KB |
Output is correct |
29 |
Correct |
3 ms |
16988 KB |
Output is correct |
30 |
Correct |
4 ms |
16988 KB |
Output is correct |
31 |
Correct |
5 ms |
17060 KB |
Output is correct |
32 |
Correct |
3 ms |
16988 KB |
Output is correct |
33 |
Correct |
4 ms |
16988 KB |
Output is correct |
34 |
Correct |
6 ms |
16984 KB |
Output is correct |
35 |
Correct |
61 ms |
22612 KB |
Output is correct |
36 |
Correct |
88 ms |
25676 KB |
Output is correct |
37 |
Correct |
81 ms |
25424 KB |
Output is correct |
38 |
Correct |
77 ms |
25060 KB |
Output is correct |
39 |
Correct |
6 ms |
17240 KB |
Output is correct |
40 |
Correct |
7 ms |
17244 KB |
Output is correct |
41 |
Correct |
6 ms |
17244 KB |
Output is correct |
42 |
Correct |
5 ms |
17244 KB |
Output is correct |
43 |
Correct |
6 ms |
17240 KB |
Output is correct |
44 |
Correct |
6 ms |
17244 KB |
Output is correct |
45 |
Correct |
6 ms |
17244 KB |
Output is correct |
46 |
Correct |
5 ms |
17240 KB |
Output is correct |
47 |
Correct |
7 ms |
17244 KB |
Output is correct |
48 |
Correct |
9 ms |
17332 KB |
Output is correct |
49 |
Correct |
12 ms |
17864 KB |
Output is correct |
50 |
Correct |
81 ms |
25564 KB |
Output is correct |
51 |
Correct |
9 ms |
17500 KB |
Output is correct |
52 |
Correct |
70 ms |
23892 KB |
Output is correct |
53 |
Correct |
11 ms |
18012 KB |
Output is correct |
54 |
Correct |
83 ms |
24784 KB |
Output is correct |
55 |
Correct |
8 ms |
17836 KB |
Output is correct |
56 |
Correct |
8 ms |
17756 KB |
Output is correct |
57 |
Correct |
8 ms |
17784 KB |
Output is correct |
58 |
Correct |
10 ms |
17828 KB |
Output is correct |
59 |
Correct |
6 ms |
17244 KB |
Output is correct |
60 |
Correct |
56 ms |
22096 KB |
Output is correct |
61 |
Correct |
7 ms |
17244 KB |
Output is correct |
62 |
Correct |
76 ms |
25016 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
16984 KB |
Output is correct |
2 |
Correct |
3 ms |
16988 KB |
Output is correct |
3 |
Correct |
3 ms |
16988 KB |
Output is correct |
4 |
Correct |
3 ms |
16988 KB |
Output is correct |
5 |
Correct |
3 ms |
17240 KB |
Output is correct |
6 |
Correct |
3 ms |
16988 KB |
Output is correct |
7 |
Correct |
4 ms |
16988 KB |
Output is correct |
8 |
Correct |
4 ms |
17084 KB |
Output is correct |
9 |
Correct |
4 ms |
16988 KB |
Output is correct |
10 |
Correct |
3 ms |
16988 KB |
Output is correct |
11 |
Correct |
3 ms |
17044 KB |
Output is correct |
12 |
Correct |
4 ms |
16988 KB |
Output is correct |
13 |
Correct |
5 ms |
17252 KB |
Output is correct |
14 |
Correct |
3 ms |
16984 KB |
Output is correct |
15 |
Correct |
3 ms |
16988 KB |
Output is correct |
16 |
Correct |
3 ms |
17032 KB |
Output is correct |
17 |
Correct |
4 ms |
17044 KB |
Output is correct |
18 |
Correct |
4 ms |
16988 KB |
Output is correct |
19 |
Correct |
4 ms |
16988 KB |
Output is correct |
20 |
Correct |
4 ms |
16988 KB |
Output is correct |
21 |
Correct |
4 ms |
16988 KB |
Output is correct |
22 |
Correct |
4 ms |
16988 KB |
Output is correct |
23 |
Correct |
4 ms |
16988 KB |
Output is correct |
24 |
Correct |
4 ms |
16984 KB |
Output is correct |
25 |
Correct |
5 ms |
16988 KB |
Output is correct |
26 |
Correct |
4 ms |
16988 KB |
Output is correct |
27 |
Correct |
3 ms |
16988 KB |
Output is correct |
28 |
Correct |
3 ms |
16840 KB |
Output is correct |
29 |
Correct |
3 ms |
16988 KB |
Output is correct |
30 |
Correct |
4 ms |
16988 KB |
Output is correct |
31 |
Correct |
5 ms |
17060 KB |
Output is correct |
32 |
Correct |
3 ms |
16988 KB |
Output is correct |
33 |
Correct |
4 ms |
16988 KB |
Output is correct |
34 |
Correct |
6 ms |
16984 KB |
Output is correct |
35 |
Correct |
61 ms |
22612 KB |
Output is correct |
36 |
Correct |
88 ms |
25676 KB |
Output is correct |
37 |
Correct |
81 ms |
25424 KB |
Output is correct |
38 |
Correct |
77 ms |
25060 KB |
Output is correct |
39 |
Correct |
6 ms |
17240 KB |
Output is correct |
40 |
Correct |
7 ms |
17244 KB |
Output is correct |
41 |
Correct |
6 ms |
17244 KB |
Output is correct |
42 |
Correct |
5 ms |
17244 KB |
Output is correct |
43 |
Correct |
6 ms |
17240 KB |
Output is correct |
44 |
Correct |
6 ms |
17244 KB |
Output is correct |
45 |
Correct |
6 ms |
17244 KB |
Output is correct |
46 |
Correct |
5 ms |
17240 KB |
Output is correct |
47 |
Correct |
7 ms |
17244 KB |
Output is correct |
48 |
Correct |
9 ms |
17332 KB |
Output is correct |
49 |
Correct |
12 ms |
17864 KB |
Output is correct |
50 |
Correct |
81 ms |
25564 KB |
Output is correct |
51 |
Correct |
9 ms |
17500 KB |
Output is correct |
52 |
Correct |
70 ms |
23892 KB |
Output is correct |
53 |
Correct |
11 ms |
18012 KB |
Output is correct |
54 |
Correct |
83 ms |
24784 KB |
Output is correct |
55 |
Correct |
8 ms |
17836 KB |
Output is correct |
56 |
Correct |
8 ms |
17756 KB |
Output is correct |
57 |
Correct |
8 ms |
17784 KB |
Output is correct |
58 |
Correct |
10 ms |
17828 KB |
Output is correct |
59 |
Correct |
6 ms |
17244 KB |
Output is correct |
60 |
Correct |
56 ms |
22096 KB |
Output is correct |
61 |
Correct |
7 ms |
17244 KB |
Output is correct |
62 |
Correct |
76 ms |
25016 KB |
Output is correct |
63 |
Correct |
496 ms |
73220 KB |
Output is correct |
64 |
Correct |
499 ms |
73044 KB |
Output is correct |
65 |
Correct |
487 ms |
73040 KB |
Output is correct |
66 |
Correct |
215 ms |
29776 KB |
Output is correct |
67 |
Correct |
396 ms |
36180 KB |
Output is correct |
68 |
Correct |
189 ms |
29904 KB |
Output is correct |
69 |
Correct |
329 ms |
36912 KB |
Output is correct |
70 |
Correct |
187 ms |
29780 KB |
Output is correct |
71 |
Correct |
224 ms |
29868 KB |
Output is correct |
72 |
Correct |
372 ms |
36180 KB |
Output is correct |
73 |
Correct |
393 ms |
36132 KB |
Output is correct |
74 |
Correct |
865 ms |
47140 KB |
Output is correct |
75 |
Correct |
482 ms |
43064 KB |
Output is correct |
76 |
Correct |
664 ms |
47188 KB |
Output is correct |
77 |
Correct |
652 ms |
47076 KB |
Output is correct |
78 |
Correct |
204 ms |
35668 KB |
Output is correct |
79 |
Correct |
337 ms |
38992 KB |
Output is correct |
80 |
Correct |
199 ms |
35672 KB |
Output is correct |
81 |
Correct |
294 ms |
38908 KB |
Output is correct |
82 |
Correct |
708 ms |
57572 KB |
Output is correct |
83 |
Correct |
746 ms |
57476 KB |
Output is correct |
84 |
Correct |
597 ms |
57236 KB |
Output is correct |
85 |
Correct |
674 ms |
57220 KB |
Output is correct |
86 |
Correct |
403 ms |
30656 KB |
Output is correct |
87 |
Correct |
436 ms |
32780 KB |
Output is correct |
88 |
Correct |
503 ms |
36296 KB |
Output is correct |
89 |
Correct |
843 ms |
46608 KB |
Output is correct |