#include<bits/stdc++.h>
#define MAXN 200007
using namespace std;
int n,m,a[MAXN],b[MAXN],k;
vector< pair<int,int> > v[MAXN];
vector<int> tree[MAXN];
long long sz[MAXN],sum[MAXN],szcomp[MAXN],ans;
bool li[MAXN],bridge[MAXN];
int dp[MAXN],low[MAXN];
int comp[MAXN],where[MAXN];
void bcc(int x,int p,int dep,int edge){
li[x]=true; dp[x]=low[x]=dep;
for(int i=0;i<v[x].size();i++){
if(!li[v[x][i].first]){
bcc(v[x][i].first,x,dep+1,v[x][i].second);
low[x]=min(low[x],low[v[x][i].first]);
}else if(v[x][i].first!=p){
low[x]=min(low[x],dp[v[x][i].first]);
}
}
if(p!=0 and low[x]==dp[x]){
bridge[edge]=true;
}
}
void mark(int x){
comp[k]++;
where[x]=k;
li[x]=true;
for(int i=0;i<v[x].size();i++){
if(li[v[x][i].first] or bridge[v[x][i].second])continue;
mark(v[x][i].first);
}
}
void dfs(int x,int p){
sz[x]=comp[x];
for(int i=0;i<tree[x].size();i++){
if(tree[x][i]==p or sz[tree[x][i]]!=0)continue;
dfs(tree[x][i],x);
sum[x]+=sz[tree[x][i]]*(sz[tree[x][i]]-1);
sz[x]+=sz[tree[x][i]];
}
}
void dfs2(int x,int p,int s){
szcomp[x]=s;
for(int i=0;i<tree[x].size();i++){
if(tree[x][i]==p or szcomp[tree[x][i]]!=0)continue;
dfs2(tree[x][i],x,s);
}
sum[x]+=(s-sz[x])*(s-sz[x]-1);
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>m;
for(int i=1;i<=m;i++){
cin>>a[i]>>b[i];
v[a[i]].push_back({b[i],i});
v[b[i]].push_back({a[i],i});
}
for(int i=1;i<=n;i++){
if(!li[i])bcc(i,0,0,0);
}
for(int i=1;i<=n;i++)li[i]=false;
for(int i=1;i<=n;i++){
if(!li[i]){
k++; mark(i);
}
}
for(int i=1;i<=m;i++){
if(where[a[i]]==where[b[i]])continue;
tree[where[a[i]]].push_back(where[b[i]]);
tree[where[b[i]]].push_back(where[a[i]]);
}
for(int i=1;i<=k;i++){
if(sz[i]==0){
dfs(i,0);
dfs2(i,0,sz[i]);
}
}
for(int i=1;i<=k;i++){
ans+=(long long) comp[i]*((szcomp[i]-1)*(szcomp[i]-2)-sum[i]);
ans-=(long long) 2*(comp[i]-1)*(szcomp[i]-comp[i]);
}
cout<<ans<<"\n";
return 0;
}
Compilation message
count_triplets.cpp: In function 'void bcc(int, int, int, int)':
count_triplets.cpp:20:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
20 | for(int i=0;i<v[x].size();i++){
| ~^~~~~~~~~~~~
count_triplets.cpp: In function 'void mark(int)':
count_triplets.cpp:39:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
39 | for(int i=0;i<v[x].size();i++){
| ~^~~~~~~~~~~~
count_triplets.cpp: In function 'void dfs(int, int)':
count_triplets.cpp:48:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
48 | for(int i=0;i<tree[x].size();i++){
| ~^~~~~~~~~~~~~~~
count_triplets.cpp: In function 'void dfs2(int, int, int)':
count_triplets.cpp:60:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
60 | for(int i=0;i<tree[x].size();i++){
| ~^~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
9820 KB |
Output is correct |
2 |
Correct |
4 ms |
9820 KB |
Output is correct |
3 |
Correct |
4 ms |
9820 KB |
Output is correct |
4 |
Correct |
4 ms |
9820 KB |
Output is correct |
5 |
Correct |
4 ms |
9920 KB |
Output is correct |
6 |
Correct |
5 ms |
9816 KB |
Output is correct |
7 |
Incorrect |
5 ms |
9820 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
9820 KB |
Output is correct |
2 |
Correct |
4 ms |
9820 KB |
Output is correct |
3 |
Correct |
4 ms |
9820 KB |
Output is correct |
4 |
Correct |
4 ms |
9820 KB |
Output is correct |
5 |
Correct |
4 ms |
9920 KB |
Output is correct |
6 |
Correct |
5 ms |
9816 KB |
Output is correct |
7 |
Incorrect |
5 ms |
9820 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
42 ms |
23888 KB |
Output is correct |
2 |
Correct |
42 ms |
23980 KB |
Output is correct |
3 |
Correct |
51 ms |
23124 KB |
Output is correct |
4 |
Correct |
46 ms |
23640 KB |
Output is correct |
5 |
Correct |
46 ms |
20820 KB |
Output is correct |
6 |
Correct |
59 ms |
22364 KB |
Output is correct |
7 |
Correct |
52 ms |
21332 KB |
Output is correct |
8 |
Correct |
55 ms |
21932 KB |
Output is correct |
9 |
Correct |
51 ms |
20560 KB |
Output is correct |
10 |
Correct |
53 ms |
20840 KB |
Output is correct |
11 |
Correct |
40 ms |
19440 KB |
Output is correct |
12 |
Correct |
46 ms |
19160 KB |
Output is correct |
13 |
Correct |
36 ms |
19292 KB |
Output is correct |
14 |
Correct |
36 ms |
19036 KB |
Output is correct |
15 |
Correct |
32 ms |
19024 KB |
Output is correct |
16 |
Correct |
30 ms |
18516 KB |
Output is correct |
17 |
Correct |
8 ms |
13916 KB |
Output is correct |
18 |
Correct |
8 ms |
13916 KB |
Output is correct |
19 |
Correct |
7 ms |
13728 KB |
Output is correct |
20 |
Correct |
7 ms |
13916 KB |
Output is correct |
21 |
Correct |
7 ms |
13916 KB |
Output is correct |
22 |
Correct |
7 ms |
13916 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
9820 KB |
Output is correct |
2 |
Correct |
4 ms |
9820 KB |
Output is correct |
3 |
Correct |
4 ms |
9820 KB |
Output is correct |
4 |
Correct |
4 ms |
10076 KB |
Output is correct |
5 |
Correct |
4 ms |
10076 KB |
Output is correct |
6 |
Correct |
4 ms |
9820 KB |
Output is correct |
7 |
Correct |
4 ms |
10076 KB |
Output is correct |
8 |
Correct |
4 ms |
9820 KB |
Output is correct |
9 |
Correct |
4 ms |
9832 KB |
Output is correct |
10 |
Correct |
4 ms |
9820 KB |
Output is correct |
11 |
Correct |
4 ms |
9820 KB |
Output is correct |
12 |
Correct |
5 ms |
9820 KB |
Output is correct |
13 |
Correct |
5 ms |
9820 KB |
Output is correct |
14 |
Correct |
5 ms |
10072 KB |
Output is correct |
15 |
Correct |
5 ms |
9820 KB |
Output is correct |
16 |
Correct |
5 ms |
9820 KB |
Output is correct |
17 |
Correct |
5 ms |
9820 KB |
Output is correct |
18 |
Correct |
4 ms |
9820 KB |
Output is correct |
19 |
Correct |
4 ms |
9820 KB |
Output is correct |
20 |
Correct |
4 ms |
9820 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
57 ms |
22904 KB |
Output is correct |
2 |
Correct |
54 ms |
22812 KB |
Output is correct |
3 |
Correct |
57 ms |
22860 KB |
Output is correct |
4 |
Correct |
56 ms |
22872 KB |
Output is correct |
5 |
Correct |
55 ms |
22808 KB |
Output is correct |
6 |
Correct |
61 ms |
26448 KB |
Output is correct |
7 |
Correct |
60 ms |
25456 KB |
Output is correct |
8 |
Correct |
60 ms |
24656 KB |
Output is correct |
9 |
Correct |
58 ms |
24092 KB |
Output is correct |
10 |
Correct |
55 ms |
22864 KB |
Output is correct |
11 |
Correct |
54 ms |
22876 KB |
Output is correct |
12 |
Correct |
52 ms |
23004 KB |
Output is correct |
13 |
Correct |
52 ms |
22868 KB |
Output is correct |
14 |
Correct |
54 ms |
22608 KB |
Output is correct |
15 |
Correct |
45 ms |
21840 KB |
Output is correct |
16 |
Correct |
30 ms |
19536 KB |
Output is correct |
17 |
Correct |
37 ms |
23240 KB |
Output is correct |
18 |
Correct |
37 ms |
23368 KB |
Output is correct |
19 |
Correct |
39 ms |
23736 KB |
Output is correct |
20 |
Correct |
38 ms |
23372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
9816 KB |
Output is correct |
2 |
Correct |
5 ms |
9820 KB |
Output is correct |
3 |
Incorrect |
4 ms |
9820 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
53 ms |
22768 KB |
Output is correct |
2 |
Correct |
58 ms |
22656 KB |
Output is correct |
3 |
Incorrect |
54 ms |
21332 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
9820 KB |
Output is correct |
2 |
Correct |
4 ms |
9820 KB |
Output is correct |
3 |
Correct |
4 ms |
9820 KB |
Output is correct |
4 |
Correct |
4 ms |
9820 KB |
Output is correct |
5 |
Correct |
4 ms |
9920 KB |
Output is correct |
6 |
Correct |
5 ms |
9816 KB |
Output is correct |
7 |
Incorrect |
5 ms |
9820 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
9820 KB |
Output is correct |
2 |
Correct |
4 ms |
9820 KB |
Output is correct |
3 |
Correct |
4 ms |
9820 KB |
Output is correct |
4 |
Correct |
4 ms |
9820 KB |
Output is correct |
5 |
Correct |
4 ms |
9920 KB |
Output is correct |
6 |
Correct |
5 ms |
9816 KB |
Output is correct |
7 |
Incorrect |
5 ms |
9820 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |