#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 10 , M = 3e5 + 10;
int n , m;
long long fin_ans = 0;
struct DSU{
set <int> st[N] , in[N] , out[N];
int sz[N] , par[N];
void Build()
{
for(int i = 1 ; i <= n ; i++)
{
sz[i] = 1;
st[i].insert(i);
in[i].insert(i);
out[i].insert(i);
}
}
int root(int v)
{
return (par[v] == 0 ? v : par[v] = root(par[v]));
}
bool Check(int a , int b)
{
if(out[a].find(b) != out[a].end() && in[a].find(b) != in[a].end())
return true;
return false;
}
void Merge(int a , int b)
{
fin_ans -= 1LL * sz[a] * ((long long)st[a].size() - 1);
fin_ans -= 1LL * sz[b] * ((long long)st[b].size() - 1);
if(sz[a] > sz[b])
swap(a , b);
for(auto u : st[a])
st[b].insert(u);
vector <int> tmp;
for(auto u : out[a]) if(u != a && u != b)
{
in[u].erase(a);
out[b].insert(u);
in[u].insert(b);
tmp.push_back(u);
}
for(auto u : in[a]) if(u != a && u != b)
{
out[u].erase(a);
in[b].insert(u);
out[u].insert(b);
tmp.push_back(u);
}
st[a].clear();
in[a].clear();
out[a].clear();
par[a] = b;
sz[b] += sz[a];
fin_ans += 1LL * sz[b] * ((long long)st[b].size() - 1);
for(auto u : tmp) if(root(b) != root(u) && Check(root(b) , root(u)))
Merge(root(b) , root(u));
}
void Add(int a , int b)
{
int ra = root(a) , rb = root(b);
if(st[ra].find(b) != st[ra].end())
return;
st[ra].insert(b);
out[ra].insert(rb);
in[rb].insert(ra);
fin_ans += sz[ra];
if(Check(ra , rb))
{
Merge(ra , rb);
return;
}
}
} dsu;
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
cin >> n >> m;
dsu.Build();
while(m--)
{
int u , v; cin >> u >> v;
dsu.Add(v , u);
cout << fin_ans << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14940 KB |
Output is correct |
2 |
Correct |
3 ms |
14940 KB |
Output is correct |
3 |
Correct |
3 ms |
14940 KB |
Output is correct |
4 |
Correct |
3 ms |
14936 KB |
Output is correct |
5 |
Correct |
3 ms |
14940 KB |
Output is correct |
6 |
Correct |
3 ms |
14996 KB |
Output is correct |
7 |
Correct |
3 ms |
14936 KB |
Output is correct |
8 |
Correct |
3 ms |
14936 KB |
Output is correct |
9 |
Correct |
4 ms |
14940 KB |
Output is correct |
10 |
Correct |
3 ms |
14940 KB |
Output is correct |
11 |
Correct |
3 ms |
14936 KB |
Output is correct |
12 |
Correct |
4 ms |
14940 KB |
Output is correct |
13 |
Correct |
3 ms |
14940 KB |
Output is correct |
14 |
Correct |
3 ms |
14940 KB |
Output is correct |
15 |
Correct |
3 ms |
14936 KB |
Output is correct |
16 |
Correct |
3 ms |
14940 KB |
Output is correct |
17 |
Correct |
3 ms |
14936 KB |
Output is correct |
18 |
Correct |
4 ms |
14940 KB |
Output is correct |
19 |
Correct |
3 ms |
14940 KB |
Output is correct |
20 |
Correct |
3 ms |
14940 KB |
Output is correct |
21 |
Correct |
5 ms |
14940 KB |
Output is correct |
22 |
Correct |
3 ms |
14940 KB |
Output is correct |
23 |
Correct |
3 ms |
14940 KB |
Output is correct |
24 |
Correct |
3 ms |
14940 KB |
Output is correct |
25 |
Correct |
3 ms |
14940 KB |
Output is correct |
26 |
Correct |
4 ms |
14940 KB |
Output is correct |
27 |
Correct |
3 ms |
14956 KB |
Output is correct |
28 |
Correct |
3 ms |
14940 KB |
Output is correct |
29 |
Correct |
3 ms |
14936 KB |
Output is correct |
30 |
Correct |
4 ms |
14940 KB |
Output is correct |
31 |
Correct |
3 ms |
14940 KB |
Output is correct |
32 |
Correct |
3 ms |
14940 KB |
Output is correct |
33 |
Correct |
3 ms |
14940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14940 KB |
Output is correct |
2 |
Correct |
3 ms |
14940 KB |
Output is correct |
3 |
Correct |
3 ms |
14940 KB |
Output is correct |
4 |
Correct |
3 ms |
14936 KB |
Output is correct |
5 |
Correct |
3 ms |
14940 KB |
Output is correct |
6 |
Correct |
3 ms |
14996 KB |
Output is correct |
7 |
Correct |
3 ms |
14936 KB |
Output is correct |
8 |
Correct |
3 ms |
14936 KB |
Output is correct |
9 |
Correct |
4 ms |
14940 KB |
Output is correct |
10 |
Correct |
3 ms |
14940 KB |
Output is correct |
11 |
Correct |
3 ms |
14936 KB |
Output is correct |
12 |
Correct |
4 ms |
14940 KB |
Output is correct |
13 |
Correct |
3 ms |
14940 KB |
Output is correct |
14 |
Correct |
3 ms |
14940 KB |
Output is correct |
15 |
Correct |
3 ms |
14936 KB |
Output is correct |
16 |
Correct |
3 ms |
14940 KB |
Output is correct |
17 |
Correct |
3 ms |
14936 KB |
Output is correct |
18 |
Correct |
4 ms |
14940 KB |
Output is correct |
19 |
Correct |
3 ms |
14940 KB |
Output is correct |
20 |
Correct |
3 ms |
14940 KB |
Output is correct |
21 |
Correct |
5 ms |
14940 KB |
Output is correct |
22 |
Correct |
3 ms |
14940 KB |
Output is correct |
23 |
Correct |
3 ms |
14940 KB |
Output is correct |
24 |
Correct |
3 ms |
14940 KB |
Output is correct |
25 |
Correct |
3 ms |
14940 KB |
Output is correct |
26 |
Correct |
4 ms |
14940 KB |
Output is correct |
27 |
Correct |
3 ms |
14956 KB |
Output is correct |
28 |
Correct |
3 ms |
14940 KB |
Output is correct |
29 |
Correct |
3 ms |
14936 KB |
Output is correct |
30 |
Correct |
4 ms |
14940 KB |
Output is correct |
31 |
Correct |
3 ms |
14940 KB |
Output is correct |
32 |
Correct |
3 ms |
14940 KB |
Output is correct |
33 |
Correct |
3 ms |
14940 KB |
Output is correct |
34 |
Correct |
5 ms |
14940 KB |
Output is correct |
35 |
Correct |
77 ms |
18676 KB |
Output is correct |
36 |
Correct |
105 ms |
21332 KB |
Output is correct |
37 |
Correct |
114 ms |
21232 KB |
Output is correct |
38 |
Correct |
95 ms |
21072 KB |
Output is correct |
39 |
Correct |
6 ms |
15196 KB |
Output is correct |
40 |
Correct |
8 ms |
15452 KB |
Output is correct |
41 |
Correct |
8 ms |
15452 KB |
Output is correct |
42 |
Correct |
7 ms |
15348 KB |
Output is correct |
43 |
Correct |
6 ms |
15452 KB |
Output is correct |
44 |
Correct |
6 ms |
15436 KB |
Output is correct |
45 |
Correct |
5 ms |
15192 KB |
Output is correct |
46 |
Correct |
5 ms |
15196 KB |
Output is correct |
47 |
Correct |
8 ms |
15452 KB |
Output is correct |
48 |
Correct |
7 ms |
15452 KB |
Output is correct |
49 |
Correct |
12 ms |
15964 KB |
Output is correct |
50 |
Correct |
97 ms |
21368 KB |
Output is correct |
51 |
Correct |
12 ms |
15448 KB |
Output is correct |
52 |
Correct |
90 ms |
19784 KB |
Output is correct |
53 |
Correct |
11 ms |
15960 KB |
Output is correct |
54 |
Correct |
93 ms |
20544 KB |
Output is correct |
55 |
Correct |
7 ms |
15708 KB |
Output is correct |
56 |
Correct |
7 ms |
15708 KB |
Output is correct |
57 |
Correct |
7 ms |
16220 KB |
Output is correct |
58 |
Correct |
8 ms |
16220 KB |
Output is correct |
59 |
Correct |
8 ms |
15452 KB |
Output is correct |
60 |
Correct |
83 ms |
18004 KB |
Output is correct |
61 |
Correct |
7 ms |
15452 KB |
Output is correct |
62 |
Correct |
96 ms |
20720 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14940 KB |
Output is correct |
2 |
Correct |
3 ms |
14940 KB |
Output is correct |
3 |
Correct |
3 ms |
14940 KB |
Output is correct |
4 |
Correct |
3 ms |
14936 KB |
Output is correct |
5 |
Correct |
3 ms |
14940 KB |
Output is correct |
6 |
Correct |
3 ms |
14996 KB |
Output is correct |
7 |
Correct |
3 ms |
14936 KB |
Output is correct |
8 |
Correct |
3 ms |
14936 KB |
Output is correct |
9 |
Correct |
4 ms |
14940 KB |
Output is correct |
10 |
Correct |
3 ms |
14940 KB |
Output is correct |
11 |
Correct |
3 ms |
14936 KB |
Output is correct |
12 |
Correct |
4 ms |
14940 KB |
Output is correct |
13 |
Correct |
3 ms |
14940 KB |
Output is correct |
14 |
Correct |
3 ms |
14940 KB |
Output is correct |
15 |
Correct |
3 ms |
14936 KB |
Output is correct |
16 |
Correct |
3 ms |
14940 KB |
Output is correct |
17 |
Correct |
3 ms |
14936 KB |
Output is correct |
18 |
Correct |
4 ms |
14940 KB |
Output is correct |
19 |
Correct |
3 ms |
14940 KB |
Output is correct |
20 |
Correct |
3 ms |
14940 KB |
Output is correct |
21 |
Correct |
5 ms |
14940 KB |
Output is correct |
22 |
Correct |
3 ms |
14940 KB |
Output is correct |
23 |
Correct |
3 ms |
14940 KB |
Output is correct |
24 |
Correct |
3 ms |
14940 KB |
Output is correct |
25 |
Correct |
3 ms |
14940 KB |
Output is correct |
26 |
Correct |
4 ms |
14940 KB |
Output is correct |
27 |
Correct |
3 ms |
14956 KB |
Output is correct |
28 |
Correct |
3 ms |
14940 KB |
Output is correct |
29 |
Correct |
3 ms |
14936 KB |
Output is correct |
30 |
Correct |
4 ms |
14940 KB |
Output is correct |
31 |
Correct |
3 ms |
14940 KB |
Output is correct |
32 |
Correct |
3 ms |
14940 KB |
Output is correct |
33 |
Correct |
3 ms |
14940 KB |
Output is correct |
34 |
Correct |
5 ms |
14940 KB |
Output is correct |
35 |
Correct |
77 ms |
18676 KB |
Output is correct |
36 |
Correct |
105 ms |
21332 KB |
Output is correct |
37 |
Correct |
114 ms |
21232 KB |
Output is correct |
38 |
Correct |
95 ms |
21072 KB |
Output is correct |
39 |
Correct |
6 ms |
15196 KB |
Output is correct |
40 |
Correct |
8 ms |
15452 KB |
Output is correct |
41 |
Correct |
8 ms |
15452 KB |
Output is correct |
42 |
Correct |
7 ms |
15348 KB |
Output is correct |
43 |
Correct |
6 ms |
15452 KB |
Output is correct |
44 |
Correct |
6 ms |
15436 KB |
Output is correct |
45 |
Correct |
5 ms |
15192 KB |
Output is correct |
46 |
Correct |
5 ms |
15196 KB |
Output is correct |
47 |
Correct |
8 ms |
15452 KB |
Output is correct |
48 |
Correct |
7 ms |
15452 KB |
Output is correct |
49 |
Correct |
12 ms |
15964 KB |
Output is correct |
50 |
Correct |
97 ms |
21368 KB |
Output is correct |
51 |
Correct |
12 ms |
15448 KB |
Output is correct |
52 |
Correct |
90 ms |
19784 KB |
Output is correct |
53 |
Correct |
11 ms |
15960 KB |
Output is correct |
54 |
Correct |
93 ms |
20544 KB |
Output is correct |
55 |
Correct |
7 ms |
15708 KB |
Output is correct |
56 |
Correct |
7 ms |
15708 KB |
Output is correct |
57 |
Correct |
7 ms |
16220 KB |
Output is correct |
58 |
Correct |
8 ms |
16220 KB |
Output is correct |
59 |
Correct |
8 ms |
15452 KB |
Output is correct |
60 |
Correct |
83 ms |
18004 KB |
Output is correct |
61 |
Correct |
7 ms |
15452 KB |
Output is correct |
62 |
Correct |
96 ms |
20720 KB |
Output is correct |
63 |
Correct |
487 ms |
73344 KB |
Output is correct |
64 |
Correct |
481 ms |
73164 KB |
Output is correct |
65 |
Correct |
486 ms |
73384 KB |
Output is correct |
66 |
Correct |
233 ms |
31316 KB |
Output is correct |
67 |
Correct |
1028 ms |
45108 KB |
Output is correct |
68 |
Correct |
235 ms |
31316 KB |
Output is correct |
69 |
Correct |
340 ms |
38412 KB |
Output is correct |
70 |
Correct |
285 ms |
31348 KB |
Output is correct |
71 |
Correct |
268 ms |
31316 KB |
Output is correct |
72 |
Correct |
656 ms |
40096 KB |
Output is correct |
73 |
Correct |
725 ms |
41728 KB |
Output is correct |
74 |
Correct |
1185 ms |
52864 KB |
Output is correct |
75 |
Correct |
529 ms |
43052 KB |
Output is correct |
76 |
Correct |
936 ms |
49248 KB |
Output is correct |
77 |
Correct |
857 ms |
49432 KB |
Output is correct |
78 |
Correct |
235 ms |
37968 KB |
Output is correct |
79 |
Correct |
406 ms |
39300 KB |
Output is correct |
80 |
Correct |
225 ms |
38480 KB |
Output is correct |
81 |
Correct |
370 ms |
39252 KB |
Output is correct |
82 |
Correct |
672 ms |
58892 KB |
Output is correct |
83 |
Correct |
682 ms |
58696 KB |
Output is correct |
84 |
Correct |
653 ms |
77908 KB |
Output is correct |
85 |
Correct |
651 ms |
77640 KB |
Output is correct |
86 |
Correct |
801 ms |
45248 KB |
Output is correct |
87 |
Correct |
890 ms |
46132 KB |
Output is correct |
88 |
Correct |
671 ms |
40560 KB |
Output is correct |
89 |
Correct |
805 ms |
47880 KB |
Output is correct |