#include<bits/stdc++.h>
#define x first
#define y second
#define pb push_back
#define ep emplace_back
#define sz(a) (int)(a).size()
using namespace std;
typedef long long LL;
typedef pair<LL,LL> PII;
const int N=100050;
vector< vector<int> > comp; // bridge tree
vector<int> g[N],G[N],sta;
int t,art[N],visited[N],lowlink[N],mk[N],ncomp[N];
LL dp[2][N],ans=0;
void dfs(int u, int p){
visited[u] = lowlink[u] = ++t;
sta.pb(u);
for(int e : g[u]){
if(e==p) continue;
if(!visited[e]){
dfs(e, u);
lowlink[u] = min(lowlink[u], lowlink[e]);
}else{
lowlink[u] = min(lowlink[u], visited[e]);
}
}
if(lowlink[u] == visited[u]){
int nw = comp.size();
comp.pb({u});
ncomp[u]=nw;
while(sta.back()!=u){
comp.back().pb(sta.back());
ncomp[sta.back()]=nw;
sta.pop_back();
}
sta.pop_back();
}
}
void DFS(int u, int p){
LL S = sz(comp[u]);
for(int e : G[u]){
if(e==p) continue;
DFS(e,u);
ans += dp[0][e]*dp[1][u];
ans += dp[1][e]*dp[0][u];
dp[0][u] += dp[0][e];
dp[1][u] += dp[1][e] + dp[0][e]*S;
ans += dp[0][e]*(S-1)*(S-1);
ans += dp[1][e]*S;
}
dp[0][u] += S;
dp[1][u] += (S-1)*(S-1);
// printf("%lld %lld %lld %lld===\n",ans,S,dp[0][u],dp[1][u]);
}
int main(){
// freopen("104","r",stdin);
// freopen("104.sol","w",stdout);
int n,m,i,j,a,b;
scanf(" %d %d",&n,&m);
for(i=1;i<=m;i++){
scanf(" %d %d",&a,&b);
g[a].pb(b); g[b].pb(a);
}
dfs(1,1);
for(i=1;i<=n;i++){
if(!visited[i]) dfs(i,i);
}
for(i=0;i<sz(comp);i++){
// printf("#%d: ",i);
for(int u : comp[i]){
// printf("%d ",u);
for(int e : g[u]){
if(ncomp[e]!=i) mk[ncomp[e]]=1;
}
}
for(int u : comp[i]){
for(int e : g[u]){
if(mk[ncomp[e]]) G[i].pb(ncomp[e]),mk[ncomp[e]]=0;
}
}
// printf("\n");
}
for(i=0;i<sz(comp);i++){
if(!dp[0][i]) DFS(i,i);
}
ans<<=1;
for(i=0;i<sz(comp);i++){
LL S = sz(comp[i]);
ans += S*(S-1)*(S-2);
}
printf("%lld",ans);
return 0;
}
/*
4 3
1 2
2 3
3 4
4 4
1 2
2 3
3 4
4 2
*/
Compilation message
count_triplets.cpp: In function 'int main()':
count_triplets.cpp:58:15: warning: unused variable 'j' [-Wunused-variable]
int n,m,i,j,a,b;
^
count_triplets.cpp:59:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf(" %d %d",&n,&m);
~~~~~^~~~~~~~~~~~~~~~
count_triplets.cpp:61:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf(" %d %d",&a,&b);
~~~~~^~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
4992 KB |
Output is correct |
2 |
Correct |
8 ms |
4992 KB |
Output is correct |
3 |
Correct |
6 ms |
4992 KB |
Output is correct |
4 |
Correct |
5 ms |
4992 KB |
Output is correct |
5 |
Correct |
6 ms |
4992 KB |
Output is correct |
6 |
Correct |
6 ms |
5120 KB |
Output is correct |
7 |
Incorrect |
6 ms |
4992 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
4992 KB |
Output is correct |
2 |
Correct |
8 ms |
4992 KB |
Output is correct |
3 |
Correct |
6 ms |
4992 KB |
Output is correct |
4 |
Correct |
5 ms |
4992 KB |
Output is correct |
5 |
Correct |
6 ms |
4992 KB |
Output is correct |
6 |
Correct |
6 ms |
5120 KB |
Output is correct |
7 |
Incorrect |
6 ms |
4992 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
131 ms |
19924 KB |
Output is correct |
2 |
Correct |
118 ms |
19860 KB |
Output is correct |
3 |
Correct |
147 ms |
19816 KB |
Output is correct |
4 |
Correct |
152 ms |
19584 KB |
Output is correct |
5 |
Correct |
112 ms |
16476 KB |
Output is correct |
6 |
Correct |
150 ms |
19916 KB |
Output is correct |
7 |
Correct |
175 ms |
17960 KB |
Output is correct |
8 |
Correct |
166 ms |
18872 KB |
Output is correct |
9 |
Correct |
160 ms |
16808 KB |
Output is correct |
10 |
Correct |
143 ms |
16812 KB |
Output is correct |
11 |
Correct |
130 ms |
15852 KB |
Output is correct |
12 |
Correct |
118 ms |
15744 KB |
Output is correct |
13 |
Correct |
103 ms |
16436 KB |
Output is correct |
14 |
Correct |
95 ms |
16032 KB |
Output is correct |
15 |
Correct |
84 ms |
16928 KB |
Output is correct |
16 |
Correct |
82 ms |
16420 KB |
Output is correct |
17 |
Correct |
22 ms |
13660 KB |
Output is correct |
18 |
Correct |
57 ms |
13608 KB |
Output is correct |
19 |
Correct |
28 ms |
13516 KB |
Output is correct |
20 |
Correct |
22 ms |
13488 KB |
Output is correct |
21 |
Correct |
23 ms |
13488 KB |
Output is correct |
22 |
Correct |
23 ms |
13628 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
5244 KB |
Output is correct |
2 |
Correct |
10 ms |
5248 KB |
Output is correct |
3 |
Correct |
8 ms |
5248 KB |
Output is correct |
4 |
Correct |
8 ms |
5248 KB |
Output is correct |
5 |
Correct |
10 ms |
5248 KB |
Output is correct |
6 |
Correct |
7 ms |
5248 KB |
Output is correct |
7 |
Correct |
7 ms |
5248 KB |
Output is correct |
8 |
Correct |
6 ms |
5248 KB |
Output is correct |
9 |
Correct |
6 ms |
5248 KB |
Output is correct |
10 |
Correct |
6 ms |
5248 KB |
Output is correct |
11 |
Correct |
7 ms |
5248 KB |
Output is correct |
12 |
Correct |
6 ms |
5120 KB |
Output is correct |
13 |
Correct |
6 ms |
5120 KB |
Output is correct |
14 |
Correct |
7 ms |
5216 KB |
Output is correct |
15 |
Correct |
21 ms |
5248 KB |
Output is correct |
16 |
Correct |
7 ms |
5248 KB |
Output is correct |
17 |
Correct |
7 ms |
5248 KB |
Output is correct |
18 |
Correct |
6 ms |
5248 KB |
Output is correct |
19 |
Correct |
7 ms |
5248 KB |
Output is correct |
20 |
Correct |
6 ms |
5248 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
185 ms |
20256 KB |
Output is correct |
2 |
Correct |
156 ms |
20128 KB |
Output is correct |
3 |
Correct |
160 ms |
20200 KB |
Output is correct |
4 |
Correct |
165 ms |
20124 KB |
Output is correct |
5 |
Correct |
171 ms |
20260 KB |
Output is correct |
6 |
Correct |
171 ms |
27912 KB |
Output is correct |
7 |
Correct |
212 ms |
23516 KB |
Output is correct |
8 |
Correct |
171 ms |
22544 KB |
Output is correct |
9 |
Correct |
194 ms |
21664 KB |
Output is correct |
10 |
Correct |
185 ms |
20132 KB |
Output is correct |
11 |
Correct |
169 ms |
20224 KB |
Output is correct |
12 |
Correct |
169 ms |
20132 KB |
Output is correct |
13 |
Correct |
154 ms |
20128 KB |
Output is correct |
14 |
Correct |
138 ms |
19904 KB |
Output is correct |
15 |
Correct |
153 ms |
19720 KB |
Output is correct |
16 |
Correct |
89 ms |
18388 KB |
Output is correct |
17 |
Correct |
110 ms |
21216 KB |
Output is correct |
18 |
Correct |
112 ms |
21044 KB |
Output is correct |
19 |
Correct |
118 ms |
21068 KB |
Output is correct |
20 |
Correct |
131 ms |
20904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
5248 KB |
Output is correct |
2 |
Correct |
9 ms |
5120 KB |
Output is correct |
3 |
Incorrect |
7 ms |
5248 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
190 ms |
20104 KB |
Output is correct |
2 |
Correct |
185 ms |
20092 KB |
Output is correct |
3 |
Incorrect |
175 ms |
16536 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
4992 KB |
Output is correct |
2 |
Correct |
8 ms |
4992 KB |
Output is correct |
3 |
Correct |
6 ms |
4992 KB |
Output is correct |
4 |
Correct |
5 ms |
4992 KB |
Output is correct |
5 |
Correct |
6 ms |
4992 KB |
Output is correct |
6 |
Correct |
6 ms |
5120 KB |
Output is correct |
7 |
Incorrect |
6 ms |
4992 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
4992 KB |
Output is correct |
2 |
Correct |
8 ms |
4992 KB |
Output is correct |
3 |
Correct |
6 ms |
4992 KB |
Output is correct |
4 |
Correct |
5 ms |
4992 KB |
Output is correct |
5 |
Correct |
6 ms |
4992 KB |
Output is correct |
6 |
Correct |
6 ms |
5120 KB |
Output is correct |
7 |
Incorrect |
6 ms |
4992 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |