#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define pb push_back
#define rep(i,n) for(int i=0;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
int read(){int x;scanf("%lld",&x);return x;}
void print(int x){printf("%lld\n",x);}
void file(string s)
{
freopen((s+".in").c_str(),"r",stdin);
freopen((s+".out").c_str(),"w",stdout);
}
const int mod=998244353;
int n,m;
vector<int> edge[100005];
int deg[100005];
int Fa[100005];
vector<int> Set[100005];
int E[100005];
int Find(int x){return Fa[x]==x?x:Fa[x]=Find(Fa[x]);}
void work()
{
rep1(i,n)
{
Set[Find(i)].pb(i);
}
rep1(i,n)
{
for(auto v:edge[i])
{
if(i>=v){continue;}
E[Find(i)]++;
}
}
int res=0;
rep1(i,n)
{
if(!Set[i].empty())
{
if(E[i]==Set[i].size())
{
res+=E[i]*(E[i]-1)*(E[i]-2);
}
else
{
res+=(E[i]+1)*E[i]*(E[i]-1)/3;
}
}
}
print(res);
}
vector<int> v[55][55];
int dis[55][55];
//can we go from i to j without touching k?
void calc()
{
rep1(i,n)
{
dis[i][i]=0;
rep1(j,n)
{
if(i!=j){dis[i][j]=(1LL<<60);}
}
}
rep1(i,n)
{
for(auto v:edge[i])
{
dis[i][v]=dis[v][i]=1;
}
}
rep1(k,n)
{
rep1(i,n)
{
rep1(j,n)
{
dis[i][j]=min(dis[i][j],dis[i][k]+dis[k][j]);
}
}
}
rep1(i,n)
{
rep1(j,n)
{
if(i==j){continue;}
if(Find(i)!=Find(j)){continue;}
v[i][j].pb(i);
int fr=j;
while(fr!=i)
{
for(auto vv:edge[fr])
{
if(dis[i][vv]+1==dis[i][fr])
{
v[i][j].pb(fr);
fr=vv;break;
}
}
}
sort(v[i][j].begin(),v[i][j].end());
}
}
int tot=0;
rep1(i,n)
{
rep1(j,n)
{
if(i==j){continue;}
if(Find(i)!=Find(j)){continue;}
rep1(k,n)
{
if(i==k||j==k){continue;}
map<int,int> vis;
for(auto x:v[i][k])
{
vis[x]++;
}
for(auto x:v[k][j])
{
vis[x]++;
}
vis[k]--;
bool fl=1;
for(auto x:vis)
{
if(x.second>=2){fl=0;}
}
tot+=fl;
}
}
}
print(tot);
}
signed main()
{
n=read(),m=read();rep1(i,n){Fa[i]=i;}
rep1(i,m)
{
int u=read(),v=read();Fa[Find(u)]=Find(v);
edge[u].pb(v),edge[v].pb(u);
deg[u]++,deg[v]++;
}
bool f=1;
rep1(i,n){f&=(deg[i]<=2);}
if(f){work();return 0;}
if(n<=50){calc();return 0;}
rep1(i,n)
{
Set[Find(i)].pb(i);
}
rep1(i,n)
{
for(auto v:edge[i])
{
if(i>=v){continue;}
E[Find(i)]++;
}
}
return 0;
}
Compilation message
count_triplets.cpp: In function 'void work()':
count_triplets.cpp:42:11: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
42 | if(E[i]==Set[i].size())
| ~~~~^~~~~~~~~~~~~~~
count_triplets.cpp: In function 'long long int read()':
count_triplets.cpp:8:23: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
8 | int read(){int x;scanf("%lld",&x);return x;}
| ~~~~~^~~~~~~~~~~
count_triplets.cpp: In function 'void file(std::string)':
count_triplets.cpp:12:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
12 | freopen((s+".in").c_str(),"r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
count_triplets.cpp:13:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
13 | freopen((s+".out").c_str(),"w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
5076 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
5076 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
34 ms |
10832 KB |
Output is correct |
2 |
Correct |
36 ms |
10872 KB |
Output is correct |
3 |
Correct |
34 ms |
10680 KB |
Output is correct |
4 |
Correct |
34 ms |
11112 KB |
Output is correct |
5 |
Correct |
33 ms |
10932 KB |
Output is correct |
6 |
Correct |
34 ms |
10884 KB |
Output is correct |
7 |
Correct |
37 ms |
10600 KB |
Output is correct |
8 |
Correct |
42 ms |
10876 KB |
Output is correct |
9 |
Correct |
34 ms |
10996 KB |
Output is correct |
10 |
Correct |
33 ms |
10840 KB |
Output is correct |
11 |
Correct |
37 ms |
12024 KB |
Output is correct |
12 |
Correct |
35 ms |
11860 KB |
Output is correct |
13 |
Correct |
34 ms |
11992 KB |
Output is correct |
14 |
Correct |
34 ms |
11892 KB |
Output is correct |
15 |
Correct |
28 ms |
11720 KB |
Output is correct |
16 |
Correct |
29 ms |
11700 KB |
Output is correct |
17 |
Correct |
7 ms |
10172 KB |
Output is correct |
18 |
Correct |
7 ms |
10196 KB |
Output is correct |
19 |
Correct |
8 ms |
10040 KB |
Output is correct |
20 |
Correct |
7 ms |
9940 KB |
Output is correct |
21 |
Correct |
7 ms |
9684 KB |
Output is correct |
22 |
Correct |
7 ms |
9684 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
5076 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
39 ms |
11460 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
5076 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
45 ms |
11456 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
5076 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
5076 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |