# include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 2;
int n, m, used[4][N], root, vis[N];
int tin[N], fup[N], timer;
int p[N], sz[N], siz[N];
long long ans;
map < pair <int, int>, bool > isb;
vector <int> g[N], gr[N], vr[N];
void dfs(int v, int pr = 0){
used[0][v] = 1;
tin[v] = fup[v] = ++ timer;
int children = 0;
for(int to : g[v]){
if(to == pr) continue;
if(used[0][to])
fup[v] = min(fup[v], tin[to]);
else {
dfs(to, v);
fup[v] = min(fup[v], fup[to]);
if(fup[to] > tin[v]){
isb[{v, to}] = 1;
isb[{to, v}] = 1;
}
if(fup[to] >= tin[v] && pr)
vis[v] = 1;
++ children;
}
}
if(pr == 0 && children == 0)
vis[v] = 1;
}
int get(int v){
return (p[v] == v)?v:p[v] = get(p[v]);
}
void unite(int a, int b){
a = get(a);
b = get(b);
if(a != b){
if(sz[b] > sz[a]) swap(a, b);
p[b] = a;
sz[a] += sz[b];
}
}
void dfs1(int v){
used[1][v] = 1;
for(int to : g[v]){
if(used[1][to]) continue;
if(!isb[{v, to}])
unite(v, to);
dfs1(to);
}
}
void dfs2(int v){
used[2][v] = 1;
vr[get(v)].push_back(v);
for(int to : g[v]){
if(used[2][to]) continue;
if(get(v) != get(to)){
gr[get(v)].push_back(get(to));
gr[get(to)].push_back(get(v));
}
dfs2(to);
}
}
void dfs3(int v){
used[3][v] = 1;
siz[v] = sz[v];
for(int to : gr[v]){
if(used[3][to]) continue;
dfs3(to);
siz[v] += siz[to];
}
}
void dfs4(int v, int pr = 0){
ans += sz[v] * 1ll * (sz[v] - 1) * 1ll * (sz[v] - 2);
int S = 0;
vector <int> vv;
for(int i : vr[v]){
vector <int> vec;
int sum = 0;
for(int to : g[i])
if(get(to) != get(i)){
if(get(to) == pr){
sum += siz[root] - siz[v];
vec.push_back(siz[root] - siz[v]);
} else {
sum += siz[get(to)];
vec.push_back(siz[get(to)]);
}
}
for(int j : vec)
ans += j * 1ll * (sum - j);
S += sum;
vv.push_back(sum);
}
long long cur = 0;
for(int i : vv)
cur += i * 1ll * (S - i);
ans += cur * 1ll * sz[v];
long long cost = sz[v] - 1 + (sz[v] - 1) * 1ll * (sz[v] - 2);
cost *= 2;
ans += (siz[root] - siz[v]) * 1ll * cost;
for(int to : gr[v]){
if(to == pr) continue;
ans += cost * 1ll * siz[to];
dfs4(to, v);
}
}
int main(){
scanf("%d %d", &n, &m);
for(int i = 1; i <= m; i ++){
int u, v;
scanf("%d %d", &u, &v);
g[u].push_back(v);
g[v].push_back(u);
}
for(int i = 1; i <= n; i ++)
p[i] = i, sz[i] = 1;
for(int i = 1; i <= n; i ++){
if(!used[0][i]){
dfs(i);
dfs1(i);
dfs2(i);
root = get(i);
dfs3(get(i));
dfs4(get(i));
}
}
cout << ans << endl;
}
Compilation message
count_triplets.cpp: In function 'int main()':
count_triplets.cpp:122:12: 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:126:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d", &u, &v);
~~~~~^~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
7380 KB |
Output is correct |
2 |
Correct |
10 ms |
7472 KB |
Output is correct |
3 |
Correct |
10 ms |
7472 KB |
Output is correct |
4 |
Correct |
7 ms |
7524 KB |
Output is correct |
5 |
Correct |
8 ms |
7524 KB |
Output is correct |
6 |
Correct |
9 ms |
7524 KB |
Output is correct |
7 |
Correct |
8 ms |
7556 KB |
Output is correct |
8 |
Incorrect |
9 ms |
7556 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
7380 KB |
Output is correct |
2 |
Correct |
10 ms |
7472 KB |
Output is correct |
3 |
Correct |
10 ms |
7472 KB |
Output is correct |
4 |
Correct |
7 ms |
7524 KB |
Output is correct |
5 |
Correct |
8 ms |
7524 KB |
Output is correct |
6 |
Correct |
9 ms |
7524 KB |
Output is correct |
7 |
Correct |
8 ms |
7556 KB |
Output is correct |
8 |
Incorrect |
9 ms |
7556 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
276 ms |
31780 KB |
Output is correct |
2 |
Correct |
287 ms |
31800 KB |
Output is correct |
3 |
Correct |
431 ms |
35660 KB |
Output is correct |
4 |
Correct |
342 ms |
35660 KB |
Output is correct |
5 |
Correct |
353 ms |
35660 KB |
Output is correct |
6 |
Correct |
336 ms |
35660 KB |
Output is correct |
7 |
Correct |
380 ms |
35660 KB |
Output is correct |
8 |
Correct |
452 ms |
35660 KB |
Output is correct |
9 |
Correct |
378 ms |
35660 KB |
Output is correct |
10 |
Correct |
306 ms |
35660 KB |
Output is correct |
11 |
Correct |
265 ms |
35660 KB |
Output is correct |
12 |
Correct |
279 ms |
35660 KB |
Output is correct |
13 |
Correct |
239 ms |
35660 KB |
Output is correct |
14 |
Correct |
266 ms |
35660 KB |
Output is correct |
15 |
Correct |
202 ms |
35660 KB |
Output is correct |
16 |
Correct |
222 ms |
35660 KB |
Output is correct |
17 |
Correct |
30 ms |
35660 KB |
Output is correct |
18 |
Correct |
29 ms |
35660 KB |
Output is correct |
19 |
Correct |
30 ms |
35660 KB |
Output is correct |
20 |
Correct |
39 ms |
35660 KB |
Output is correct |
21 |
Correct |
28 ms |
35660 KB |
Output is correct |
22 |
Correct |
35 ms |
35660 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
35660 KB |
Output is correct |
2 |
Correct |
11 ms |
35660 KB |
Output is correct |
3 |
Correct |
10 ms |
35660 KB |
Output is correct |
4 |
Correct |
12 ms |
35660 KB |
Output is correct |
5 |
Correct |
10 ms |
35660 KB |
Output is correct |
6 |
Correct |
9 ms |
35660 KB |
Output is correct |
7 |
Correct |
10 ms |
35660 KB |
Output is correct |
8 |
Correct |
10 ms |
35660 KB |
Output is correct |
9 |
Correct |
10 ms |
35660 KB |
Output is correct |
10 |
Correct |
10 ms |
35660 KB |
Output is correct |
11 |
Correct |
10 ms |
35660 KB |
Output is correct |
12 |
Correct |
9 ms |
35660 KB |
Output is correct |
13 |
Correct |
10 ms |
35660 KB |
Output is correct |
14 |
Correct |
10 ms |
35660 KB |
Output is correct |
15 |
Correct |
10 ms |
35660 KB |
Output is correct |
16 |
Correct |
10 ms |
35660 KB |
Output is correct |
17 |
Correct |
10 ms |
35660 KB |
Output is correct |
18 |
Correct |
11 ms |
35660 KB |
Output is correct |
19 |
Correct |
13 ms |
35660 KB |
Output is correct |
20 |
Correct |
12 ms |
35660 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
570 ms |
35660 KB |
Output is correct |
2 |
Correct |
540 ms |
35660 KB |
Output is correct |
3 |
Correct |
546 ms |
35660 KB |
Output is correct |
4 |
Correct |
537 ms |
35660 KB |
Output is correct |
5 |
Correct |
682 ms |
35660 KB |
Output is correct |
6 |
Correct |
586 ms |
44564 KB |
Output is correct |
7 |
Correct |
582 ms |
44564 KB |
Output is correct |
8 |
Correct |
624 ms |
44564 KB |
Output is correct |
9 |
Correct |
609 ms |
44564 KB |
Output is correct |
10 |
Correct |
519 ms |
44564 KB |
Output is correct |
11 |
Correct |
497 ms |
44564 KB |
Output is correct |
12 |
Correct |
513 ms |
44564 KB |
Output is correct |
13 |
Correct |
505 ms |
44564 KB |
Output is correct |
14 |
Correct |
416 ms |
44564 KB |
Output is correct |
15 |
Correct |
354 ms |
44564 KB |
Output is correct |
16 |
Correct |
181 ms |
44564 KB |
Output is correct |
17 |
Correct |
450 ms |
44564 KB |
Output is correct |
18 |
Correct |
377 ms |
44564 KB |
Output is correct |
19 |
Correct |
423 ms |
44564 KB |
Output is correct |
20 |
Correct |
371 ms |
44564 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
44564 KB |
Output is correct |
2 |
Correct |
9 ms |
44564 KB |
Output is correct |
3 |
Correct |
9 ms |
44564 KB |
Output is correct |
4 |
Correct |
9 ms |
44564 KB |
Output is correct |
5 |
Correct |
8 ms |
44564 KB |
Output is correct |
6 |
Correct |
8 ms |
44564 KB |
Output is correct |
7 |
Correct |
8 ms |
44564 KB |
Output is correct |
8 |
Correct |
8 ms |
44564 KB |
Output is correct |
9 |
Correct |
8 ms |
44564 KB |
Output is correct |
10 |
Correct |
9 ms |
44564 KB |
Output is correct |
11 |
Correct |
9 ms |
44564 KB |
Output is correct |
12 |
Correct |
9 ms |
44564 KB |
Output is correct |
13 |
Correct |
9 ms |
44564 KB |
Output is correct |
14 |
Correct |
10 ms |
44564 KB |
Output is correct |
15 |
Correct |
13 ms |
44564 KB |
Output is correct |
16 |
Correct |
13 ms |
44564 KB |
Output is correct |
17 |
Correct |
12 ms |
44564 KB |
Output is correct |
18 |
Correct |
9 ms |
44564 KB |
Output is correct |
19 |
Correct |
10 ms |
44564 KB |
Output is correct |
20 |
Correct |
10 ms |
44564 KB |
Output is correct |
21 |
Correct |
10 ms |
44564 KB |
Output is correct |
22 |
Correct |
11 ms |
44564 KB |
Output is correct |
23 |
Correct |
10 ms |
44564 KB |
Output is correct |
24 |
Correct |
10 ms |
44564 KB |
Output is correct |
25 |
Correct |
9 ms |
44564 KB |
Output is correct |
26 |
Correct |
9 ms |
44564 KB |
Output is correct |
27 |
Correct |
9 ms |
44564 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
500 ms |
44564 KB |
Output is correct |
2 |
Correct |
445 ms |
44564 KB |
Output is correct |
3 |
Correct |
409 ms |
44564 KB |
Output is correct |
4 |
Correct |
328 ms |
44564 KB |
Output is correct |
5 |
Correct |
330 ms |
44564 KB |
Output is correct |
6 |
Correct |
323 ms |
44564 KB |
Output is correct |
7 |
Correct |
278 ms |
44564 KB |
Output is correct |
8 |
Correct |
272 ms |
44564 KB |
Output is correct |
9 |
Correct |
267 ms |
44564 KB |
Output is correct |
10 |
Correct |
224 ms |
44564 KB |
Output is correct |
11 |
Correct |
241 ms |
44564 KB |
Output is correct |
12 |
Correct |
263 ms |
44564 KB |
Output is correct |
13 |
Correct |
248 ms |
44564 KB |
Output is correct |
14 |
Correct |
274 ms |
44564 KB |
Output is correct |
15 |
Correct |
518 ms |
44564 KB |
Output is correct |
16 |
Correct |
556 ms |
44564 KB |
Output is correct |
17 |
Correct |
460 ms |
44564 KB |
Output is correct |
18 |
Correct |
498 ms |
44564 KB |
Output is correct |
19 |
Correct |
429 ms |
44564 KB |
Output is correct |
20 |
Correct |
340 ms |
44564 KB |
Output is correct |
21 |
Correct |
274 ms |
44564 KB |
Output is correct |
22 |
Correct |
248 ms |
44564 KB |
Output is correct |
23 |
Correct |
274 ms |
44564 KB |
Output is correct |
24 |
Correct |
374 ms |
44564 KB |
Output is correct |
25 |
Correct |
525 ms |
44564 KB |
Output is correct |
26 |
Correct |
426 ms |
44564 KB |
Output is correct |
27 |
Correct |
428 ms |
44564 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
7380 KB |
Output is correct |
2 |
Correct |
10 ms |
7472 KB |
Output is correct |
3 |
Correct |
10 ms |
7472 KB |
Output is correct |
4 |
Correct |
7 ms |
7524 KB |
Output is correct |
5 |
Correct |
8 ms |
7524 KB |
Output is correct |
6 |
Correct |
9 ms |
7524 KB |
Output is correct |
7 |
Correct |
8 ms |
7556 KB |
Output is correct |
8 |
Incorrect |
9 ms |
7556 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
7380 KB |
Output is correct |
2 |
Correct |
10 ms |
7472 KB |
Output is correct |
3 |
Correct |
10 ms |
7472 KB |
Output is correct |
4 |
Correct |
7 ms |
7524 KB |
Output is correct |
5 |
Correct |
8 ms |
7524 KB |
Output is correct |
6 |
Correct |
9 ms |
7524 KB |
Output is correct |
7 |
Correct |
8 ms |
7556 KB |
Output is correct |
8 |
Incorrect |
9 ms |
7556 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |