#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<ll,ll>
#define vi vector<int>
#define pb emplace_back
#define fi first
#define se second
#define all(n) (n).begin(),(n).end()
#define mem(n,m) memset(n,m,sizeof(n))
#define IOS ios::sync_with_stdio(0), cin.tie(0)
#define dbg(...) cerr<<#__VA_ARGS__<<" = ";_do(__VA_ARGS__);
template<typename A> void _do(A x){cerr<<x<<'\n';}
template<typename A,typename ...B> void _do(A x,B ...y){cerr<<x<<", ";_do(y...);}
const int mxn = 100005;
ll C(ll x){
return (x)*(x-1)*(x-2)/6*2;
}
ll P(ll x){
return C(x)*3;
}
ll n,m;
vi E[mxn], E2[mxn];
ll siz[mxn], ans=0, l[mxn], d[mxn], bcc[mxn], bcc_siz[mxn], dfn, bccid, vis[mxn], rt[mxn], siznd[mxn];
stack<int> s;
void dfs(int x,int p){
l[x] = d[x] = ++dfn;
siznd[x] = 1;
s.push(x);
for(auto i:E[x]){
if(i==p) continue;
if(!d[i]){
dfs(i,x);
siznd[x] += siznd[i];
l[x] = min(l[x],l[i]);
}
else{
l[x] = min(l[x],d[i]);
}
}
if(l[x] == d[x]){
bccid++;
for(int i;i!=x;){
i = s.top(); s.pop();
bcc[i] = bccid;
}
}
}
void bcc_dfs(int x,int p,int anc){
rt[x] = anc;
siz[x] = bcc_siz[x];
vis[x] = 1;
for(auto i:E2[x]){
if(i==p) continue;
bcc_dfs(i,x,anc);
siz[x] += siz[i];
}
}
void bcc_dfs2(int x,int p,int anc){
vis[x] = 1;
for(auto i:E2[x]){
if(i==p) continue;
bcc_dfs2(i,x,anc);
ans += siz[i] * (siz[anc] - siz[i] - bcc_siz[x]) * bcc_siz[x];
}
ans += (siz[x]-bcc_siz[x]) * (siz[anc]-siz[x]) * bcc_siz[x];
}
void dfs3(int x,int p,int anc){
vis[x] = 1;
ll allsiz = 0;
vi tmp;
for(auto i:E[x]){
if(i==p || vis[i]) continue;
dfs3(i,x,anc);
if(bcc[i] != bcc[x]){
allsiz += siznd[i];
tmp.pb(siznd[i]);
}
//ans -= siznd[i] * (siznd[x] - siznd[i] - 1) * (bcc_siz[bcc[x]] - 1);
}
if(bcc[p] != bcc[x]){
allsiz += siznd[anc] - siznd[x];
tmp.pb(siznd[anc] - siznd[x]);
}
for(auto i:tmp){
ans -= (i) * (allsiz-i) * (bcc_siz[bcc[x]] - 1);
}
}
signed main(){
IOS;
cin>>n>>m;
for(int i=1,a,b;i<=m;i++){
cin>>a>>b;
E[a].pb(b);
E[b].pb(a);
}
for(int i=1;i<=n;i++) if(!d[i]) dfs(i,0);
for(int i=1;i<=n;i++){
//dbg(i, bcc[i]);
bcc_siz[bcc[i]]++;
for(auto j:E[i]){
if(bcc[i] == bcc[j]) continue;
E2[bcc[i]].pb(bcc[j]);
E2[bcc[j]].pb(bcc[i]);
}
}
for(int i=1;i<=bccid;i++){
sort(all(E2[i]));
E2[i].resize(unique(all(E2[i]))-E2[i].begin());
}
for(int i=1;i<=bccid;i++){
if(!vis[i]){
bcc_dfs(i,0,i);
}
}
// for(int i=1;i<=bccid;i++){
// dbg(i, siz[i]);
// }
mem(vis,0);
for(int i=1;i<=bccid;i++){
if(bcc_siz[i]>=3){
ll x = bcc_siz[i];
ans += P(x);
ans += (x-1) * (x-1) * (siz[rt[i]] - x) * 2;
}
if(!vis[i]){
bcc_dfs2(i,0,i);
}
}
//dbg(ans);
mem(vis,0);
for(int i=1;i<=n;i++){
if(!vis[i]) dfs3(i,0,i);
}
//dbg(ans);
cout<<ans<<'\n';
}
/*
3 3
1 2
2 3
3 1
4 4
1 2
2 3
3 4
2 4
5 4
1 2
2 3
1 3
4 5
7 8
1 2
1 3
2 3
2 4
2 7
4 5
4 6
5 6
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
5888 KB |
Output is correct |
2 |
Correct |
4 ms |
5888 KB |
Output is correct |
3 |
Correct |
4 ms |
5888 KB |
Output is correct |
4 |
Correct |
4 ms |
5888 KB |
Output is correct |
5 |
Correct |
4 ms |
5888 KB |
Output is correct |
6 |
Correct |
5 ms |
5888 KB |
Output is correct |
7 |
Correct |
5 ms |
5888 KB |
Output is correct |
8 |
Incorrect |
4 ms |
5888 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
5888 KB |
Output is correct |
2 |
Correct |
4 ms |
5888 KB |
Output is correct |
3 |
Correct |
4 ms |
5888 KB |
Output is correct |
4 |
Correct |
4 ms |
5888 KB |
Output is correct |
5 |
Correct |
4 ms |
5888 KB |
Output is correct |
6 |
Correct |
5 ms |
5888 KB |
Output is correct |
7 |
Correct |
5 ms |
5888 KB |
Output is correct |
8 |
Incorrect |
4 ms |
5888 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
102 ms |
23364 KB |
Output is correct |
2 |
Correct |
108 ms |
24132 KB |
Output is correct |
3 |
Correct |
142 ms |
21240 KB |
Output is correct |
4 |
Correct |
124 ms |
22392 KB |
Output is correct |
5 |
Correct |
126 ms |
18296 KB |
Output is correct |
6 |
Correct |
151 ms |
20220 KB |
Output is correct |
7 |
Correct |
153 ms |
18208 KB |
Output is correct |
8 |
Correct |
148 ms |
19168 KB |
Output is correct |
9 |
Correct |
142 ms |
17148 KB |
Output is correct |
10 |
Correct |
160 ms |
17656 KB |
Output is correct |
11 |
Correct |
107 ms |
15864 KB |
Output is correct |
12 |
Correct |
98 ms |
15736 KB |
Output is correct |
13 |
Correct |
92 ms |
16120 KB |
Output is correct |
14 |
Correct |
105 ms |
15992 KB |
Output is correct |
15 |
Correct |
83 ms |
15996 KB |
Output is correct |
16 |
Correct |
89 ms |
15608 KB |
Output is correct |
17 |
Correct |
14 ms |
11264 KB |
Output is correct |
18 |
Correct |
14 ms |
11264 KB |
Output is correct |
19 |
Correct |
14 ms |
11264 KB |
Output is correct |
20 |
Correct |
14 ms |
11264 KB |
Output is correct |
21 |
Correct |
15 ms |
11264 KB |
Output is correct |
22 |
Correct |
14 ms |
11264 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
6016 KB |
Output is correct |
2 |
Correct |
4 ms |
6016 KB |
Output is correct |
3 |
Correct |
5 ms |
6016 KB |
Output is correct |
4 |
Correct |
5 ms |
6016 KB |
Output is correct |
5 |
Correct |
5 ms |
6016 KB |
Output is correct |
6 |
Correct |
4 ms |
6016 KB |
Output is correct |
7 |
Correct |
4 ms |
6036 KB |
Output is correct |
8 |
Correct |
5 ms |
6016 KB |
Output is correct |
9 |
Correct |
5 ms |
6016 KB |
Output is correct |
10 |
Correct |
5 ms |
6016 KB |
Output is correct |
11 |
Correct |
4 ms |
6016 KB |
Output is correct |
12 |
Correct |
5 ms |
6016 KB |
Output is correct |
13 |
Correct |
5 ms |
6016 KB |
Output is correct |
14 |
Correct |
4 ms |
6016 KB |
Output is correct |
15 |
Correct |
5 ms |
6016 KB |
Output is correct |
16 |
Correct |
4 ms |
5888 KB |
Output is correct |
17 |
Correct |
5 ms |
6016 KB |
Output is correct |
18 |
Correct |
5 ms |
6016 KB |
Output is correct |
19 |
Correct |
4 ms |
6016 KB |
Output is correct |
20 |
Correct |
4 ms |
6016 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
165 ms |
18348 KB |
Output is correct |
2 |
Correct |
177 ms |
18552 KB |
Output is correct |
3 |
Correct |
172 ms |
18424 KB |
Output is correct |
4 |
Correct |
181 ms |
18424 KB |
Output is correct |
5 |
Correct |
182 ms |
18424 KB |
Output is correct |
6 |
Correct |
194 ms |
25448 KB |
Output is correct |
7 |
Correct |
182 ms |
22136 KB |
Output is correct |
8 |
Correct |
222 ms |
21240 KB |
Output is correct |
9 |
Correct |
210 ms |
20216 KB |
Output is correct |
10 |
Correct |
189 ms |
18424 KB |
Output is correct |
11 |
Correct |
199 ms |
18428 KB |
Output is correct |
12 |
Correct |
195 ms |
18424 KB |
Output is correct |
13 |
Correct |
183 ms |
18424 KB |
Output is correct |
14 |
Correct |
157 ms |
18040 KB |
Output is correct |
15 |
Correct |
139 ms |
17656 KB |
Output is correct |
16 |
Correct |
92 ms |
15992 KB |
Output is correct |
17 |
Correct |
120 ms |
19680 KB |
Output is correct |
18 |
Correct |
129 ms |
19428 KB |
Output is correct |
19 |
Correct |
126 ms |
19424 KB |
Output is correct |
20 |
Correct |
126 ms |
19296 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
6016 KB |
Output is correct |
2 |
Correct |
5 ms |
5920 KB |
Output is correct |
3 |
Correct |
5 ms |
5888 KB |
Output is correct |
4 |
Correct |
6 ms |
5888 KB |
Output is correct |
5 |
Correct |
5 ms |
5888 KB |
Output is correct |
6 |
Correct |
4 ms |
5888 KB |
Output is correct |
7 |
Correct |
5 ms |
5888 KB |
Output is correct |
8 |
Correct |
4 ms |
5888 KB |
Output is correct |
9 |
Correct |
4 ms |
5888 KB |
Output is correct |
10 |
Correct |
4 ms |
5888 KB |
Output is correct |
11 |
Correct |
4 ms |
5888 KB |
Output is correct |
12 |
Correct |
5 ms |
6016 KB |
Output is correct |
13 |
Correct |
5 ms |
6016 KB |
Output is correct |
14 |
Correct |
4 ms |
5992 KB |
Output is correct |
15 |
Correct |
4 ms |
6016 KB |
Output is correct |
16 |
Correct |
5 ms |
5888 KB |
Output is correct |
17 |
Correct |
4 ms |
5888 KB |
Output is correct |
18 |
Correct |
4 ms |
5888 KB |
Output is correct |
19 |
Correct |
5 ms |
5888 KB |
Output is correct |
20 |
Correct |
5 ms |
5888 KB |
Output is correct |
21 |
Correct |
5 ms |
6016 KB |
Output is correct |
22 |
Correct |
4 ms |
6016 KB |
Output is correct |
23 |
Correct |
4 ms |
6016 KB |
Output is correct |
24 |
Correct |
5 ms |
6144 KB |
Output is correct |
25 |
Correct |
4 ms |
5888 KB |
Output is correct |
26 |
Correct |
4 ms |
5888 KB |
Output is correct |
27 |
Correct |
4 ms |
5888 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
164 ms |
18424 KB |
Output is correct |
2 |
Correct |
189 ms |
18212 KB |
Output is correct |
3 |
Correct |
136 ms |
16248 KB |
Output is correct |
4 |
Correct |
138 ms |
15480 KB |
Output is correct |
5 |
Correct |
121 ms |
14328 KB |
Output is correct |
6 |
Correct |
109 ms |
13816 KB |
Output is correct |
7 |
Correct |
104 ms |
13560 KB |
Output is correct |
8 |
Correct |
100 ms |
13560 KB |
Output is correct |
9 |
Correct |
111 ms |
13304 KB |
Output is correct |
10 |
Correct |
101 ms |
13304 KB |
Output is correct |
11 |
Correct |
106 ms |
13176 KB |
Output is correct |
12 |
Correct |
108 ms |
13432 KB |
Output is correct |
13 |
Correct |
114 ms |
13592 KB |
Output is correct |
14 |
Correct |
106 ms |
16120 KB |
Output is correct |
15 |
Correct |
164 ms |
21372 KB |
Output is correct |
16 |
Correct |
170 ms |
20036 KB |
Output is correct |
17 |
Correct |
154 ms |
20088 KB |
Output is correct |
18 |
Correct |
149 ms |
18808 KB |
Output is correct |
19 |
Correct |
137 ms |
15480 KB |
Output is correct |
20 |
Correct |
146 ms |
15608 KB |
Output is correct |
21 |
Correct |
122 ms |
15608 KB |
Output is correct |
22 |
Correct |
103 ms |
15224 KB |
Output is correct |
23 |
Correct |
101 ms |
14840 KB |
Output is correct |
24 |
Correct |
125 ms |
17524 KB |
Output is correct |
25 |
Correct |
129 ms |
17652 KB |
Output is correct |
26 |
Correct |
143 ms |
16624 KB |
Output is correct |
27 |
Correct |
149 ms |
16376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
5888 KB |
Output is correct |
2 |
Correct |
4 ms |
5888 KB |
Output is correct |
3 |
Correct |
4 ms |
5888 KB |
Output is correct |
4 |
Correct |
4 ms |
5888 KB |
Output is correct |
5 |
Correct |
4 ms |
5888 KB |
Output is correct |
6 |
Correct |
5 ms |
5888 KB |
Output is correct |
7 |
Correct |
5 ms |
5888 KB |
Output is correct |
8 |
Incorrect |
4 ms |
5888 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
5888 KB |
Output is correct |
2 |
Correct |
4 ms |
5888 KB |
Output is correct |
3 |
Correct |
4 ms |
5888 KB |
Output is correct |
4 |
Correct |
4 ms |
5888 KB |
Output is correct |
5 |
Correct |
4 ms |
5888 KB |
Output is correct |
6 |
Correct |
5 ms |
5888 KB |
Output is correct |
7 |
Correct |
5 ms |
5888 KB |
Output is correct |
8 |
Incorrect |
4 ms |
5888 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |