#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
#define all(x) (x).begin(),(x).end()
#define X first
#define Y second
#define sep ' '
#define endl '\n'
#define SZ(x) ll(x.size())
const ll MAXN = 1e5 + 10;
const ll LOG = 22;
const ll INF = 8e18;
const ll MOD = 1e9 + 7; //998244353; //1e9 + 9;
ll n , m , ans , sz[MAXN] , par[MAXN];
set<int> inDeg[MAXN] , outDeg[MAXN];
vector<pii> Q;
int Find(int v){
return (par[v] == -1 ? v : par[v] = Find(par[v]));
}
void Union(int v , int u){
v = Find(v); u = Find(u);
if(v == u) return;
if(sz[v] < sz[u]) swap(v , u);
ans -= sz[v] * SZ(inDeg[v]) + sz[u] * SZ(inDeg[u]);
par[u] = v; sz[v] += sz[u];
for(auto &i : inDeg[u]){
inDeg[v].insert(i);
outDeg[Find(i)].insert(v);
if(Find(i) != v && outDeg[v].find(Find(i)) != outDeg[v].end()){
Q.push_back({v , i});
}
}
for(auto &i : outDeg[u]){
outDeg[v].insert(i);
if(Find(i) != v && outDeg[Find(i)].find(v) != outDeg[Find(i)].end()){
Q.push_back({v , i});
}
}
ans += sz[v] * SZ(inDeg[v]);
}
void Add(int v , int u){
u = Find(u);
if(Find(v) == u) return;
if(inDeg[u].find(v) != inDeg[u].end()){
return;
}
if(outDeg[u].find(Find(v)) != outDeg[u].end()){
Q.push_back({v , u});
while(!Q.empty()){
pii A = Q.back(); Q.pop_back();
Union(A.X , A.Y);
}
return;
}
inDeg[u].insert(v);
outDeg[Find(v)].insert(u);
ans += sz[u];
}
int main() {
ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
fill(par , par + MAXN , -1);
fill(sz , sz + MAXN , 1);
for(int i = 0 ; i < MAXN ; i++){
inDeg[i].insert(i);
outDeg[i].insert(i);
}
cin >> n >> m;
for(int i = 0 ; i < m ; i++){
int v , u;
cin >> v >> u;
Add(v , u);
cout << ans << endl;
}
return 0;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
20564 KB |
Output is correct |
2 |
Correct |
19 ms |
20600 KB |
Output is correct |
3 |
Correct |
16 ms |
20584 KB |
Output is correct |
4 |
Correct |
17 ms |
20580 KB |
Output is correct |
5 |
Correct |
16 ms |
20672 KB |
Output is correct |
6 |
Correct |
16 ms |
20564 KB |
Output is correct |
7 |
Correct |
17 ms |
20688 KB |
Output is correct |
8 |
Correct |
21 ms |
20692 KB |
Output is correct |
9 |
Correct |
18 ms |
20692 KB |
Output is correct |
10 |
Correct |
20 ms |
20676 KB |
Output is correct |
11 |
Correct |
20 ms |
20684 KB |
Output is correct |
12 |
Correct |
17 ms |
20672 KB |
Output is correct |
13 |
Correct |
16 ms |
20568 KB |
Output is correct |
14 |
Correct |
17 ms |
20632 KB |
Output is correct |
15 |
Correct |
16 ms |
20564 KB |
Output is correct |
16 |
Correct |
17 ms |
20676 KB |
Output is correct |
17 |
Correct |
15 ms |
20564 KB |
Output is correct |
18 |
Correct |
18 ms |
20564 KB |
Output is correct |
19 |
Correct |
15 ms |
20664 KB |
Output is correct |
20 |
Correct |
15 ms |
20692 KB |
Output is correct |
21 |
Correct |
18 ms |
20736 KB |
Output is correct |
22 |
Correct |
17 ms |
20660 KB |
Output is correct |
23 |
Correct |
18 ms |
20692 KB |
Output is correct |
24 |
Correct |
17 ms |
20692 KB |
Output is correct |
25 |
Correct |
21 ms |
20696 KB |
Output is correct |
26 |
Correct |
21 ms |
20664 KB |
Output is correct |
27 |
Correct |
18 ms |
20676 KB |
Output is correct |
28 |
Correct |
19 ms |
20660 KB |
Output is correct |
29 |
Correct |
16 ms |
20608 KB |
Output is correct |
30 |
Correct |
18 ms |
20660 KB |
Output is correct |
31 |
Correct |
18 ms |
20748 KB |
Output is correct |
32 |
Correct |
18 ms |
20592 KB |
Output is correct |
33 |
Correct |
17 ms |
20644 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
20564 KB |
Output is correct |
2 |
Correct |
19 ms |
20600 KB |
Output is correct |
3 |
Correct |
16 ms |
20584 KB |
Output is correct |
4 |
Correct |
17 ms |
20580 KB |
Output is correct |
5 |
Correct |
16 ms |
20672 KB |
Output is correct |
6 |
Correct |
16 ms |
20564 KB |
Output is correct |
7 |
Correct |
17 ms |
20688 KB |
Output is correct |
8 |
Correct |
21 ms |
20692 KB |
Output is correct |
9 |
Correct |
18 ms |
20692 KB |
Output is correct |
10 |
Correct |
20 ms |
20676 KB |
Output is correct |
11 |
Correct |
20 ms |
20684 KB |
Output is correct |
12 |
Correct |
17 ms |
20672 KB |
Output is correct |
13 |
Correct |
16 ms |
20568 KB |
Output is correct |
14 |
Correct |
17 ms |
20632 KB |
Output is correct |
15 |
Correct |
16 ms |
20564 KB |
Output is correct |
16 |
Correct |
17 ms |
20676 KB |
Output is correct |
17 |
Correct |
15 ms |
20564 KB |
Output is correct |
18 |
Correct |
18 ms |
20564 KB |
Output is correct |
19 |
Correct |
15 ms |
20664 KB |
Output is correct |
20 |
Correct |
15 ms |
20692 KB |
Output is correct |
21 |
Correct |
18 ms |
20736 KB |
Output is correct |
22 |
Correct |
17 ms |
20660 KB |
Output is correct |
23 |
Correct |
18 ms |
20692 KB |
Output is correct |
24 |
Correct |
17 ms |
20692 KB |
Output is correct |
25 |
Correct |
21 ms |
20696 KB |
Output is correct |
26 |
Correct |
21 ms |
20664 KB |
Output is correct |
27 |
Correct |
18 ms |
20676 KB |
Output is correct |
28 |
Correct |
19 ms |
20660 KB |
Output is correct |
29 |
Correct |
16 ms |
20608 KB |
Output is correct |
30 |
Correct |
18 ms |
20660 KB |
Output is correct |
31 |
Correct |
18 ms |
20748 KB |
Output is correct |
32 |
Correct |
18 ms |
20592 KB |
Output is correct |
33 |
Correct |
17 ms |
20644 KB |
Output is correct |
34 |
Correct |
27 ms |
20796 KB |
Output is correct |
35 |
Correct |
86 ms |
26072 KB |
Output is correct |
36 |
Correct |
109 ms |
28396 KB |
Output is correct |
37 |
Correct |
122 ms |
28416 KB |
Output is correct |
38 |
Correct |
111 ms |
28176 KB |
Output is correct |
39 |
Correct |
21 ms |
20936 KB |
Output is correct |
40 |
Correct |
26 ms |
21748 KB |
Output is correct |
41 |
Correct |
27 ms |
21568 KB |
Output is correct |
42 |
Correct |
18 ms |
20944 KB |
Output is correct |
43 |
Correct |
19 ms |
20932 KB |
Output is correct |
44 |
Correct |
18 ms |
20932 KB |
Output is correct |
45 |
Correct |
19 ms |
20900 KB |
Output is correct |
46 |
Correct |
19 ms |
21004 KB |
Output is correct |
47 |
Correct |
20 ms |
21324 KB |
Output is correct |
48 |
Correct |
19 ms |
21400 KB |
Output is correct |
49 |
Correct |
25 ms |
21972 KB |
Output is correct |
50 |
Correct |
109 ms |
28628 KB |
Output is correct |
51 |
Correct |
21 ms |
21452 KB |
Output is correct |
52 |
Correct |
94 ms |
27184 KB |
Output is correct |
53 |
Correct |
24 ms |
21724 KB |
Output is correct |
54 |
Correct |
93 ms |
27924 KB |
Output is correct |
55 |
Correct |
19 ms |
21332 KB |
Output is correct |
56 |
Correct |
19 ms |
21308 KB |
Output is correct |
57 |
Correct |
19 ms |
21324 KB |
Output is correct |
58 |
Correct |
24 ms |
21292 KB |
Output is correct |
59 |
Correct |
22 ms |
21792 KB |
Output is correct |
60 |
Correct |
113 ms |
26716 KB |
Output is correct |
61 |
Correct |
20 ms |
21332 KB |
Output is correct |
62 |
Correct |
103 ms |
28056 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
20564 KB |
Output is correct |
2 |
Correct |
19 ms |
20600 KB |
Output is correct |
3 |
Correct |
16 ms |
20584 KB |
Output is correct |
4 |
Correct |
17 ms |
20580 KB |
Output is correct |
5 |
Correct |
16 ms |
20672 KB |
Output is correct |
6 |
Correct |
16 ms |
20564 KB |
Output is correct |
7 |
Correct |
17 ms |
20688 KB |
Output is correct |
8 |
Correct |
21 ms |
20692 KB |
Output is correct |
9 |
Correct |
18 ms |
20692 KB |
Output is correct |
10 |
Correct |
20 ms |
20676 KB |
Output is correct |
11 |
Correct |
20 ms |
20684 KB |
Output is correct |
12 |
Correct |
17 ms |
20672 KB |
Output is correct |
13 |
Correct |
16 ms |
20568 KB |
Output is correct |
14 |
Correct |
17 ms |
20632 KB |
Output is correct |
15 |
Correct |
16 ms |
20564 KB |
Output is correct |
16 |
Correct |
17 ms |
20676 KB |
Output is correct |
17 |
Correct |
15 ms |
20564 KB |
Output is correct |
18 |
Correct |
18 ms |
20564 KB |
Output is correct |
19 |
Correct |
15 ms |
20664 KB |
Output is correct |
20 |
Correct |
15 ms |
20692 KB |
Output is correct |
21 |
Correct |
18 ms |
20736 KB |
Output is correct |
22 |
Correct |
17 ms |
20660 KB |
Output is correct |
23 |
Correct |
18 ms |
20692 KB |
Output is correct |
24 |
Correct |
17 ms |
20692 KB |
Output is correct |
25 |
Correct |
21 ms |
20696 KB |
Output is correct |
26 |
Correct |
21 ms |
20664 KB |
Output is correct |
27 |
Correct |
18 ms |
20676 KB |
Output is correct |
28 |
Correct |
19 ms |
20660 KB |
Output is correct |
29 |
Correct |
16 ms |
20608 KB |
Output is correct |
30 |
Correct |
18 ms |
20660 KB |
Output is correct |
31 |
Correct |
18 ms |
20748 KB |
Output is correct |
32 |
Correct |
18 ms |
20592 KB |
Output is correct |
33 |
Correct |
17 ms |
20644 KB |
Output is correct |
34 |
Correct |
27 ms |
20796 KB |
Output is correct |
35 |
Correct |
86 ms |
26072 KB |
Output is correct |
36 |
Correct |
109 ms |
28396 KB |
Output is correct |
37 |
Correct |
122 ms |
28416 KB |
Output is correct |
38 |
Correct |
111 ms |
28176 KB |
Output is correct |
39 |
Correct |
21 ms |
20936 KB |
Output is correct |
40 |
Correct |
26 ms |
21748 KB |
Output is correct |
41 |
Correct |
27 ms |
21568 KB |
Output is correct |
42 |
Correct |
18 ms |
20944 KB |
Output is correct |
43 |
Correct |
19 ms |
20932 KB |
Output is correct |
44 |
Correct |
18 ms |
20932 KB |
Output is correct |
45 |
Correct |
19 ms |
20900 KB |
Output is correct |
46 |
Correct |
19 ms |
21004 KB |
Output is correct |
47 |
Correct |
20 ms |
21324 KB |
Output is correct |
48 |
Correct |
19 ms |
21400 KB |
Output is correct |
49 |
Correct |
25 ms |
21972 KB |
Output is correct |
50 |
Correct |
109 ms |
28628 KB |
Output is correct |
51 |
Correct |
21 ms |
21452 KB |
Output is correct |
52 |
Correct |
94 ms |
27184 KB |
Output is correct |
53 |
Correct |
24 ms |
21724 KB |
Output is correct |
54 |
Correct |
93 ms |
27924 KB |
Output is correct |
55 |
Correct |
19 ms |
21332 KB |
Output is correct |
56 |
Correct |
19 ms |
21308 KB |
Output is correct |
57 |
Correct |
19 ms |
21324 KB |
Output is correct |
58 |
Correct |
24 ms |
21292 KB |
Output is correct |
59 |
Correct |
22 ms |
21792 KB |
Output is correct |
60 |
Correct |
113 ms |
26716 KB |
Output is correct |
61 |
Correct |
20 ms |
21332 KB |
Output is correct |
62 |
Correct |
103 ms |
28056 KB |
Output is correct |
63 |
Correct |
403 ms |
54212 KB |
Output is correct |
64 |
Correct |
424 ms |
54316 KB |
Output is correct |
65 |
Correct |
392 ms |
54348 KB |
Output is correct |
66 |
Correct |
283 ms |
39056 KB |
Output is correct |
67 |
Correct |
514 ms |
90416 KB |
Output is correct |
68 |
Correct |
274 ms |
39088 KB |
Output is correct |
69 |
Correct |
351 ms |
39272 KB |
Output is correct |
70 |
Correct |
294 ms |
39112 KB |
Output is correct |
71 |
Correct |
282 ms |
39212 KB |
Output is correct |
72 |
Correct |
536 ms |
58952 KB |
Output is correct |
73 |
Correct |
604 ms |
62268 KB |
Output is correct |
74 |
Correct |
953 ms |
84800 KB |
Output is correct |
75 |
Correct |
532 ms |
46200 KB |
Output is correct |
76 |
Correct |
674 ms |
63392 KB |
Output is correct |
77 |
Correct |
685 ms |
63592 KB |
Output is correct |
78 |
Correct |
219 ms |
39264 KB |
Output is correct |
79 |
Correct |
479 ms |
47216 KB |
Output is correct |
80 |
Correct |
218 ms |
38092 KB |
Output is correct |
81 |
Correct |
374 ms |
44340 KB |
Output is correct |
82 |
Correct |
595 ms |
57016 KB |
Output is correct |
83 |
Correct |
544 ms |
57068 KB |
Output is correct |
84 |
Correct |
499 ms |
57096 KB |
Output is correct |
85 |
Correct |
577 ms |
57136 KB |
Output is correct |
86 |
Correct |
476 ms |
105512 KB |
Output is correct |
87 |
Correct |
464 ms |
107732 KB |
Output is correct |
88 |
Correct |
564 ms |
60628 KB |
Output is correct |
89 |
Correct |
666 ms |
61596 KB |
Output is correct |