This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <vector>
using namespace std;
#define int long long
const int N = 1e5 + 10;
vector<int> nei[N];
bool seen[55][55][55];
int d[N],Seen[N], cur = 1, ver, ed;
void dfs1(int u,vector<int> v){
v.push_back(u);
for (int i : v)
seen[v[0]][u][i] = 1;
for (int i : nei[u]){
bool ns = 1;
for (int j : v)
if (j == i)
ns = false;
if (ns)
dfs1(i,v);
}
}
void sub1(int n){
for (int i=1;i<=n;i++)
dfs1(i,{});
int ans = 0;
for (int s = 1;s <= n; s++)
for (int c = 1;c <= n; c++)
for (int f = 1;f <= n; f++)
if ( !(s == c or s == f or c == f) )
ans += seen[s][f][c];
cout<<ans<<'\n';
exit(0);
}
void dfs2(int u){
Seen[u] = cur;
ver++;
ed += d[u];
for (int i : nei[u])
if (Seen[i] != cur)
dfs2(i);
}
void sub3(int n){
int ans = 0;
for (int i=1;i<=n;i++)
if (Seen[i] != cur){
ver = 0;
ed = 0;
dfs2(i);
ed >>= 1;
if (ed == ver - 1)
for (int j=1;j<=ver;j++)
ans += (j - 1) * (ver - j) * 2;
else
ans += ver * (ver-1) * (ver-2);
}
cout<<ans<<'\n';
exit(0);
}
signed main(){
int n,m;
cin>>n>>m;
int mx = 0;
for (int i=1;i<=m;i++){
int a,b;
cin>>a>>b;
nei[a].push_back(b);
nei[b].push_back(a);
d[a]++;
d[b]++;
mx = max(mx,max(d[a],d[b]));
}
if (mx <= 2)
sub3(n);
if (n <= 10)
sub1(n);
}
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