#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 2*1e5 + 10;
vector<int> grafo[MAXN],tree[MAXN],meucomponente[MAXN];
int e1[MAXN],e2[MAXN],e3[MAXN],jafoi[MAXN],N,M;
int compSz[MAXN],subtreeSz[MAXN],compId[MAXN],lastComp;
int low[MAXN],num[MAXN],dfsCount,total_componente;
ll trincas_total;
void dfs1(int v,int aresta){
total_componente++;
num[v] = low[v] = ++dfsCount;
for(int i : grafo[v]){
if(i == aresta) continue;
int u = (e1[i] != v) ? (e1[i]) : (e2[i]);
if(num[u] == 0){
dfs1(u,i);
if(num[v] < low[u]){
e3[i] = 1;
}
low[v] = min(low[v],low[u]);
}
else{
low[v] = min(low[v],num[u]);
}
}
}
void dfs2(int v,int aresta){
if(jafoi[v]) return;
jafoi[v] = 1;
compSz[compId[v]]++;
meucomponente[compId[v]].push_back(v);
for(int i : grafo[v]){
if(i == aresta) continue;
int u = (e1[i] != v) ? (e1[i]) : (e2[i]);
if(num[v] >= num[u] ) continue;
if(e3[i] == 1){
lastComp++;
compId[u] = lastComp;
tree[compId[v]].push_back(compId[u]);
tree[compId[u]].push_back(compId[v]);
dfs2(u,i);
}
else{
compId[u] = compId[v];
dfs2(u,i);
}
}
}
void dfs3(int v,int p){
subtreeSz[v] = compSz[v];
for(int u : tree[v]){
if(u == p) continue;
dfs3(u,v);
subtreeSz[v] += subtreeSz[u];
}
for(int u : tree[v]){
if(u == p) continue;
int v1 = compSz[v]; // dentro
int v2 = subtreeSz[u]; // fora, esta subtree
int v3 = total_componente - v1 - v2; // fora, outras subtrees
trincas_total += 1LL*v1*v2*v3; // fora-dentro-fora
trincas_total += 2LL*v2*(v1 - 1)*(v1 - 1); // fora-dentro-dentro
}
int v1 = compSz[v]; // dentro
int v2 = (total_componente - subtreeSz[v]); // fora, esta subtree
int v3 = (subtreeSz[v] - compSz[v]);// fora, outras subtrees
trincas_total += 1LL*v1*v2*v3; // fora-dentro-fora
trincas_total += 2LL*v2*(v1 - 1)*(v1 - 1); // fora-dentro-dentro
trincas_total += 1LL*(v1)*(v1 - 1)*(v1 - 2); // dentro-dentro-dentro
for(int k : meucomponente[v]){
vector<int> tamanhos;
int filhos = 0;
for(int i : grafo[k]){
int u = (e1[i] != k) ? (e1[i]) : (e2[i]);
int l = compId[u];
if(l == v) continue;
if(l == p){
tamanhos.push_back(total_componente - subtreeSz[v]);
}
else{
tamanhos.push_back(subtreeSz[l]);
}
}
for(int valor : tamanhos) filhos += valor;
for(int valor : tamanhos){
trincas_total -= 1LL*(valor)*(filhos - valor)*(v1 - 1);
}
}
}
int main(){
scanf("%d %d",&N,&M);
for(int i = 1;i<=M;i++){
scanf("%d %d",&e1[i],&e2[i]);
grafo[e1[i]].push_back(i);
grafo[e2[i]].push_back(i);
}
for(int i = 1;i<=N;i++){
if(num[i] != 0) continue;
total_componente = 0;
dfs1(i,-1);
lastComp++;
compId[i] = lastComp;
dfs2(i,-1);
dfs3(compId[i],-1);
}
printf("%lld\n",trincas_total);
return 0;
}
Compilation message
count_triplets.cpp: In function 'int main()':
count_triplets.cpp:107:7: 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:109:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d",&e1[i],&e2[i]);
~~~~~^~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
14456 KB |
Output is correct |
2 |
Correct |
17 ms |
14540 KB |
Output is correct |
3 |
Correct |
17 ms |
14616 KB |
Output is correct |
4 |
Correct |
17 ms |
14616 KB |
Output is correct |
5 |
Correct |
20 ms |
14616 KB |
Output is correct |
6 |
Correct |
18 ms |
14616 KB |
Output is correct |
7 |
Correct |
19 ms |
14644 KB |
Output is correct |
8 |
Incorrect |
15 ms |
14720 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
14456 KB |
Output is correct |
2 |
Correct |
17 ms |
14540 KB |
Output is correct |
3 |
Correct |
17 ms |
14616 KB |
Output is correct |
4 |
Correct |
17 ms |
14616 KB |
Output is correct |
5 |
Correct |
20 ms |
14616 KB |
Output is correct |
6 |
Correct |
18 ms |
14616 KB |
Output is correct |
7 |
Correct |
19 ms |
14644 KB |
Output is correct |
8 |
Incorrect |
15 ms |
14720 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
279 ms |
28576 KB |
Output is correct |
2 |
Correct |
252 ms |
28576 KB |
Output is correct |
3 |
Correct |
303 ms |
30696 KB |
Output is correct |
4 |
Correct |
290 ms |
30696 KB |
Output is correct |
5 |
Correct |
242 ms |
30696 KB |
Output is correct |
6 |
Correct |
352 ms |
30696 KB |
Output is correct |
7 |
Correct |
313 ms |
30696 KB |
Output is correct |
8 |
Correct |
293 ms |
30696 KB |
Output is correct |
9 |
Correct |
326 ms |
30696 KB |
Output is correct |
10 |
Correct |
328 ms |
30696 KB |
Output is correct |
11 |
Correct |
188 ms |
30696 KB |
Output is correct |
12 |
Correct |
211 ms |
30696 KB |
Output is correct |
13 |
Correct |
176 ms |
30696 KB |
Output is correct |
14 |
Correct |
189 ms |
30696 KB |
Output is correct |
15 |
Correct |
182 ms |
30696 KB |
Output is correct |
16 |
Correct |
178 ms |
30696 KB |
Output is correct |
17 |
Correct |
36 ms |
30696 KB |
Output is correct |
18 |
Correct |
34 ms |
30696 KB |
Output is correct |
19 |
Correct |
32 ms |
30696 KB |
Output is correct |
20 |
Correct |
32 ms |
30696 KB |
Output is correct |
21 |
Correct |
33 ms |
30696 KB |
Output is correct |
22 |
Correct |
33 ms |
30696 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
30696 KB |
Output is correct |
2 |
Correct |
19 ms |
30696 KB |
Output is correct |
3 |
Correct |
20 ms |
30696 KB |
Output is correct |
4 |
Correct |
20 ms |
30696 KB |
Output is correct |
5 |
Correct |
18 ms |
30696 KB |
Output is correct |
6 |
Correct |
22 ms |
30696 KB |
Output is correct |
7 |
Correct |
18 ms |
30696 KB |
Output is correct |
8 |
Correct |
18 ms |
30696 KB |
Output is correct |
9 |
Correct |
22 ms |
30696 KB |
Output is correct |
10 |
Correct |
18 ms |
30696 KB |
Output is correct |
11 |
Correct |
19 ms |
30696 KB |
Output is correct |
12 |
Correct |
19 ms |
30696 KB |
Output is correct |
13 |
Correct |
20 ms |
30696 KB |
Output is correct |
14 |
Correct |
18 ms |
30696 KB |
Output is correct |
15 |
Correct |
18 ms |
30696 KB |
Output is correct |
16 |
Correct |
17 ms |
30696 KB |
Output is correct |
17 |
Correct |
15 ms |
30696 KB |
Output is correct |
18 |
Correct |
16 ms |
30696 KB |
Output is correct |
19 |
Correct |
16 ms |
30696 KB |
Output is correct |
20 |
Correct |
18 ms |
30696 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
291 ms |
30696 KB |
Output is correct |
2 |
Correct |
336 ms |
30696 KB |
Output is correct |
3 |
Correct |
327 ms |
30696 KB |
Output is correct |
4 |
Correct |
342 ms |
30696 KB |
Output is correct |
5 |
Correct |
351 ms |
30696 KB |
Output is correct |
6 |
Correct |
384 ms |
36420 KB |
Output is correct |
7 |
Correct |
395 ms |
36420 KB |
Output is correct |
8 |
Correct |
406 ms |
36420 KB |
Output is correct |
9 |
Correct |
334 ms |
36420 KB |
Output is correct |
10 |
Correct |
364 ms |
36420 KB |
Output is correct |
11 |
Correct |
362 ms |
36420 KB |
Output is correct |
12 |
Correct |
357 ms |
36420 KB |
Output is correct |
13 |
Correct |
329 ms |
36420 KB |
Output is correct |
14 |
Correct |
204 ms |
36420 KB |
Output is correct |
15 |
Correct |
201 ms |
36420 KB |
Output is correct |
16 |
Correct |
120 ms |
36420 KB |
Output is correct |
17 |
Correct |
130 ms |
36420 KB |
Output is correct |
18 |
Correct |
145 ms |
36420 KB |
Output is correct |
19 |
Correct |
176 ms |
36420 KB |
Output is correct |
20 |
Correct |
227 ms |
36420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
36420 KB |
Output is correct |
2 |
Correct |
18 ms |
36420 KB |
Output is correct |
3 |
Correct |
16 ms |
36420 KB |
Output is correct |
4 |
Correct |
22 ms |
36420 KB |
Output is correct |
5 |
Correct |
18 ms |
36420 KB |
Output is correct |
6 |
Correct |
19 ms |
36420 KB |
Output is correct |
7 |
Correct |
16 ms |
36420 KB |
Output is correct |
8 |
Correct |
16 ms |
36420 KB |
Output is correct |
9 |
Correct |
16 ms |
36420 KB |
Output is correct |
10 |
Correct |
15 ms |
36420 KB |
Output is correct |
11 |
Correct |
18 ms |
36420 KB |
Output is correct |
12 |
Correct |
19 ms |
36420 KB |
Output is correct |
13 |
Correct |
17 ms |
36420 KB |
Output is correct |
14 |
Correct |
20 ms |
36420 KB |
Output is correct |
15 |
Correct |
17 ms |
36420 KB |
Output is correct |
16 |
Correct |
16 ms |
36420 KB |
Output is correct |
17 |
Correct |
18 ms |
36420 KB |
Output is correct |
18 |
Correct |
15 ms |
36420 KB |
Output is correct |
19 |
Correct |
16 ms |
36420 KB |
Output is correct |
20 |
Correct |
19 ms |
36420 KB |
Output is correct |
21 |
Correct |
17 ms |
36420 KB |
Output is correct |
22 |
Correct |
15 ms |
36420 KB |
Output is correct |
23 |
Correct |
16 ms |
36420 KB |
Output is correct |
24 |
Correct |
21 ms |
36420 KB |
Output is correct |
25 |
Correct |
18 ms |
36420 KB |
Output is correct |
26 |
Correct |
17 ms |
36420 KB |
Output is correct |
27 |
Correct |
16 ms |
36420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
267 ms |
36420 KB |
Output is correct |
2 |
Correct |
323 ms |
36420 KB |
Output is correct |
3 |
Correct |
348 ms |
36420 KB |
Output is correct |
4 |
Correct |
242 ms |
36420 KB |
Output is correct |
5 |
Correct |
282 ms |
36420 KB |
Output is correct |
6 |
Correct |
259 ms |
36420 KB |
Output is correct |
7 |
Correct |
219 ms |
36420 KB |
Output is correct |
8 |
Correct |
200 ms |
36420 KB |
Output is correct |
9 |
Correct |
260 ms |
36420 KB |
Output is correct |
10 |
Correct |
180 ms |
36420 KB |
Output is correct |
11 |
Correct |
213 ms |
36420 KB |
Output is correct |
12 |
Correct |
218 ms |
36420 KB |
Output is correct |
13 |
Correct |
220 ms |
36420 KB |
Output is correct |
14 |
Correct |
180 ms |
36420 KB |
Output is correct |
15 |
Correct |
352 ms |
36420 KB |
Output is correct |
16 |
Correct |
352 ms |
36420 KB |
Output is correct |
17 |
Correct |
368 ms |
36420 KB |
Output is correct |
18 |
Correct |
346 ms |
36420 KB |
Output is correct |
19 |
Correct |
240 ms |
36420 KB |
Output is correct |
20 |
Correct |
328 ms |
36420 KB |
Output is correct |
21 |
Correct |
317 ms |
36420 KB |
Output is correct |
22 |
Correct |
180 ms |
36420 KB |
Output is correct |
23 |
Correct |
176 ms |
36420 KB |
Output is correct |
24 |
Correct |
251 ms |
36420 KB |
Output is correct |
25 |
Correct |
326 ms |
36420 KB |
Output is correct |
26 |
Correct |
293 ms |
36420 KB |
Output is correct |
27 |
Correct |
328 ms |
36420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
14456 KB |
Output is correct |
2 |
Correct |
17 ms |
14540 KB |
Output is correct |
3 |
Correct |
17 ms |
14616 KB |
Output is correct |
4 |
Correct |
17 ms |
14616 KB |
Output is correct |
5 |
Correct |
20 ms |
14616 KB |
Output is correct |
6 |
Correct |
18 ms |
14616 KB |
Output is correct |
7 |
Correct |
19 ms |
14644 KB |
Output is correct |
8 |
Incorrect |
15 ms |
14720 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
14456 KB |
Output is correct |
2 |
Correct |
17 ms |
14540 KB |
Output is correct |
3 |
Correct |
17 ms |
14616 KB |
Output is correct |
4 |
Correct |
17 ms |
14616 KB |
Output is correct |
5 |
Correct |
20 ms |
14616 KB |
Output is correct |
6 |
Correct |
18 ms |
14616 KB |
Output is correct |
7 |
Correct |
19 ms |
14644 KB |
Output is correct |
8 |
Incorrect |
15 ms |
14720 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |