#include <bits/stdc++.h>
using namespace std;
#define ar array
const int mxN=1e5;
int n, m;
queue<ar<int, 2>> qu;
long long ans;
int p[mxN], s[mxN];
set<ar<int, 2>> to[mxN], from[mxN];
int find(int x) {
return x^p[x]?p[x]=find(p[x]):x;
}
void cr(int u, int v) {
auto it=to[u].lower_bound(ar<int, 2>{v});
if(it!=to[u].end()&&(*it)[0]==v)
qu.push({u, v});
}
int e1(set<ar<int, 2>> &s, int x) {
auto it=s.lower_bound(ar<int, 2>{x});
int r=0;
while(it!=s.end()&&(*it)[0]==x)
it=s.erase(it), ++r;
return r;
}
void join(int u, int v) {
if((u=find(u))==(v=find(v)))
return;
//remove self edges?
e1(to[u], v);
ans-=e1(from[u], v)*s[u];
e1(to[v], u);
ans-=e1(from[v], u)*s[v];
//u to v
if(to[u].size()+from[u].size()>to[v].size()+from[v].size())
swap(u, v);
//update ans
ans+=(long long)2*s[u]*s[v];
ans+=(long long)s[u]*from[v].size();
ans+=(long long)s[v]*from[u].size();
for(ar<int, 2> e : from[u])
if(from[v].find(e)!=from[v].end())
ans-=s[u]+s[v];
//merge sets
for(ar<int, 2> e : from[u])
from[v].insert(e);
for(ar<int, 2> e : to[u])
to[v].insert(e);
p[u]=v;
s[v]+=s[u];
//update references to u
for(ar<int, 2> e : to[u]) {
auto it=from[e[0]].lower_bound(ar<int, 2>{u});
while(it!=from[e[0]].end()&&(*it)[0]==u) {
from[e[0]].insert({v, (*it)[1]});
it=from[e[0]].erase(it);
}
}
for(ar<int, 2> e : from[u]) {
auto it=to[e[0]].lower_bound(ar<int, 2>{u});
while(it!=to[e[0]].end()&&(*it)[0]==u) {
to[e[0]].insert({v, (*it)[1]});
it=to[e[0]].erase(it);
}
}
//check for new merges
for(ar<int, 2> e : to[u])
cr(e[0], v);
for(ar<int, 2> e : from[u])
cr(v, e[0]);
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m;
iota(p, p+n, 0);
fill(s, s+n, 1);
for(int a, b; m--; ) {
cin >> a >> b, --a, --b;
if(find(a)!=find(b)) {
//add edge
to[find(a)].insert({find(b), b});
ans+=from[find(b)].insert({find(a), a}).second*s[find(b)];
//check relation
cr(find(b), find(a));
while(qu.size()) {
ar<int, 2> u=qu.front();
qu.pop();
join(u[0], u[1]);
}
}
cout << ans << "\n";
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
9644 KB |
Output is correct |
| 2 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 3 |
Correct |
6 ms |
9708 KB |
Output is correct |
| 4 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 5 |
Correct |
6 ms |
9616 KB |
Output is correct |
| 6 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 7 |
Correct |
7 ms |
9676 KB |
Output is correct |
| 8 |
Correct |
7 ms |
9676 KB |
Output is correct |
| 9 |
Correct |
7 ms |
9736 KB |
Output is correct |
| 10 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 11 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 12 |
Correct |
6 ms |
9708 KB |
Output is correct |
| 13 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 14 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 15 |
Correct |
6 ms |
9804 KB |
Output is correct |
| 16 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 17 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 18 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 19 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 20 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 21 |
Correct |
7 ms |
9676 KB |
Output is correct |
| 22 |
Correct |
6 ms |
9804 KB |
Output is correct |
| 23 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 24 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 25 |
Correct |
6 ms |
9680 KB |
Output is correct |
| 26 |
Correct |
6 ms |
9640 KB |
Output is correct |
| 27 |
Correct |
6 ms |
9716 KB |
Output is correct |
| 28 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 29 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 30 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 31 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 32 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 33 |
Correct |
6 ms |
9676 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
9644 KB |
Output is correct |
| 2 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 3 |
Correct |
6 ms |
9708 KB |
Output is correct |
| 4 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 5 |
Correct |
6 ms |
9616 KB |
Output is correct |
| 6 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 7 |
Correct |
7 ms |
9676 KB |
Output is correct |
| 8 |
Correct |
7 ms |
9676 KB |
Output is correct |
| 9 |
Correct |
7 ms |
9736 KB |
Output is correct |
| 10 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 11 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 12 |
Correct |
6 ms |
9708 KB |
Output is correct |
| 13 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 14 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 15 |
Correct |
6 ms |
9804 KB |
Output is correct |
| 16 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 17 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 18 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 19 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 20 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 21 |
Correct |
7 ms |
9676 KB |
Output is correct |
| 22 |
Correct |
6 ms |
9804 KB |
Output is correct |
| 23 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 24 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 25 |
Correct |
6 ms |
9680 KB |
Output is correct |
| 26 |
Correct |
6 ms |
9640 KB |
Output is correct |
| 27 |
Correct |
6 ms |
9716 KB |
Output is correct |
| 28 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 29 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 30 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 31 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 32 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 33 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 34 |
Correct |
9 ms |
9856 KB |
Output is correct |
| 35 |
Correct |
98 ms |
15080 KB |
Output is correct |
| 36 |
Correct |
126 ms |
17092 KB |
Output is correct |
| 37 |
Correct |
126 ms |
17148 KB |
Output is correct |
| 38 |
Correct |
124 ms |
17044 KB |
Output is correct |
| 39 |
Correct |
8 ms |
9676 KB |
Output is correct |
| 40 |
Correct |
8 ms |
9804 KB |
Output is correct |
| 41 |
Correct |
9 ms |
9856 KB |
Output is correct |
| 42 |
Correct |
7 ms |
9804 KB |
Output is correct |
| 43 |
Correct |
9 ms |
9804 KB |
Output is correct |
| 44 |
Correct |
9 ms |
9804 KB |
Output is correct |
| 45 |
Correct |
7 ms |
9792 KB |
Output is correct |
| 46 |
Correct |
8 ms |
9676 KB |
Output is correct |
| 47 |
Correct |
9 ms |
9880 KB |
Output is correct |
| 48 |
Correct |
9 ms |
9892 KB |
Output is correct |
| 49 |
Correct |
16 ms |
10460 KB |
Output is correct |
| 50 |
Correct |
133 ms |
17220 KB |
Output is correct |
| 51 |
Correct |
13 ms |
10116 KB |
Output is correct |
| 52 |
Correct |
109 ms |
16160 KB |
Output is correct |
| 53 |
Correct |
16 ms |
10468 KB |
Output is correct |
| 54 |
Correct |
118 ms |
16628 KB |
Output is correct |
| 55 |
Correct |
12 ms |
10188 KB |
Output is correct |
| 56 |
Correct |
11 ms |
10188 KB |
Output is correct |
| 57 |
Correct |
10 ms |
10112 KB |
Output is correct |
| 58 |
Correct |
10 ms |
10064 KB |
Output is correct |
| 59 |
Correct |
8 ms |
9804 KB |
Output is correct |
| 60 |
Correct |
93 ms |
14672 KB |
Output is correct |
| 61 |
Correct |
10 ms |
9932 KB |
Output is correct |
| 62 |
Correct |
119 ms |
16748 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
9644 KB |
Output is correct |
| 2 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 3 |
Correct |
6 ms |
9708 KB |
Output is correct |
| 4 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 5 |
Correct |
6 ms |
9616 KB |
Output is correct |
| 6 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 7 |
Correct |
7 ms |
9676 KB |
Output is correct |
| 8 |
Correct |
7 ms |
9676 KB |
Output is correct |
| 9 |
Correct |
7 ms |
9736 KB |
Output is correct |
| 10 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 11 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 12 |
Correct |
6 ms |
9708 KB |
Output is correct |
| 13 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 14 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 15 |
Correct |
6 ms |
9804 KB |
Output is correct |
| 16 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 17 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 18 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 19 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 20 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 21 |
Correct |
7 ms |
9676 KB |
Output is correct |
| 22 |
Correct |
6 ms |
9804 KB |
Output is correct |
| 23 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 24 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 25 |
Correct |
6 ms |
9680 KB |
Output is correct |
| 26 |
Correct |
6 ms |
9640 KB |
Output is correct |
| 27 |
Correct |
6 ms |
9716 KB |
Output is correct |
| 28 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 29 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 30 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 31 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 32 |
Correct |
6 ms |
9712 KB |
Output is correct |
| 33 |
Correct |
6 ms |
9676 KB |
Output is correct |
| 34 |
Correct |
9 ms |
9856 KB |
Output is correct |
| 35 |
Correct |
98 ms |
15080 KB |
Output is correct |
| 36 |
Correct |
126 ms |
17092 KB |
Output is correct |
| 37 |
Correct |
126 ms |
17148 KB |
Output is correct |
| 38 |
Correct |
124 ms |
17044 KB |
Output is correct |
| 39 |
Correct |
8 ms |
9676 KB |
Output is correct |
| 40 |
Correct |
8 ms |
9804 KB |
Output is correct |
| 41 |
Correct |
9 ms |
9856 KB |
Output is correct |
| 42 |
Correct |
7 ms |
9804 KB |
Output is correct |
| 43 |
Correct |
9 ms |
9804 KB |
Output is correct |
| 44 |
Correct |
9 ms |
9804 KB |
Output is correct |
| 45 |
Correct |
7 ms |
9792 KB |
Output is correct |
| 46 |
Correct |
8 ms |
9676 KB |
Output is correct |
| 47 |
Correct |
9 ms |
9880 KB |
Output is correct |
| 48 |
Correct |
9 ms |
9892 KB |
Output is correct |
| 49 |
Correct |
16 ms |
10460 KB |
Output is correct |
| 50 |
Correct |
133 ms |
17220 KB |
Output is correct |
| 51 |
Correct |
13 ms |
10116 KB |
Output is correct |
| 52 |
Correct |
109 ms |
16160 KB |
Output is correct |
| 53 |
Correct |
16 ms |
10468 KB |
Output is correct |
| 54 |
Correct |
118 ms |
16628 KB |
Output is correct |
| 55 |
Correct |
12 ms |
10188 KB |
Output is correct |
| 56 |
Correct |
11 ms |
10188 KB |
Output is correct |
| 57 |
Correct |
10 ms |
10112 KB |
Output is correct |
| 58 |
Correct |
10 ms |
10064 KB |
Output is correct |
| 59 |
Correct |
8 ms |
9804 KB |
Output is correct |
| 60 |
Correct |
93 ms |
14672 KB |
Output is correct |
| 61 |
Correct |
10 ms |
9932 KB |
Output is correct |
| 62 |
Correct |
119 ms |
16748 KB |
Output is correct |
| 63 |
Correct |
418 ms |
44112 KB |
Output is correct |
| 64 |
Correct |
433 ms |
44100 KB |
Output is correct |
| 65 |
Correct |
424 ms |
43988 KB |
Output is correct |
| 66 |
Correct |
115 ms |
14788 KB |
Output is correct |
| 67 |
Correct |
227 ms |
19196 KB |
Output is correct |
| 68 |
Correct |
111 ms |
14892 KB |
Output is correct |
| 69 |
Correct |
289 ms |
19532 KB |
Output is correct |
| 70 |
Correct |
124 ms |
14788 KB |
Output is correct |
| 71 |
Correct |
124 ms |
14844 KB |
Output is correct |
| 72 |
Correct |
249 ms |
19524 KB |
Output is correct |
| 73 |
Correct |
256 ms |
19432 KB |
Output is correct |
| 74 |
Correct |
870 ms |
37884 KB |
Output is correct |
| 75 |
Correct |
442 ms |
25032 KB |
Output is correct |
| 76 |
Correct |
572 ms |
30916 KB |
Output is correct |
| 77 |
Correct |
578 ms |
31060 KB |
Output is correct |
| 78 |
Correct |
166 ms |
19524 KB |
Output is correct |
| 79 |
Correct |
290 ms |
22908 KB |
Output is correct |
| 80 |
Correct |
165 ms |
19704 KB |
Output is correct |
| 81 |
Correct |
273 ms |
22916 KB |
Output is correct |
| 82 |
Correct |
614 ms |
33688 KB |
Output is correct |
| 83 |
Correct |
616 ms |
33656 KB |
Output is correct |
| 84 |
Correct |
465 ms |
33012 KB |
Output is correct |
| 85 |
Correct |
491 ms |
33068 KB |
Output is correct |
| 86 |
Correct |
133 ms |
14020 KB |
Output is correct |
| 87 |
Correct |
169 ms |
16340 KB |
Output is correct |
| 88 |
Correct |
272 ms |
19496 KB |
Output is correct |
| 89 |
Correct |
542 ms |
29844 KB |
Output is correct |
