#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 2*1e5 + 10;
vector<int> grafo[MAXN],tree[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]]++;
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
//trincas_total += 1LL*v2*v1*(v1 - 1); // dentro-dentro-fora
//printf("V %d U %d %lld %lld %lld\n",v,u,1LL*v1*v2*v3,1LL*v2*v1*(v1 - 1),1LL*v2*v1*(v1 - 1));
}
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*v2*v1*(v1 - 1); // dentro-dentro-fora
trincas_total += 1LL*(v1)*(v1 - 1)*(v1 - 2); // dentro-dentro-dentro
//printf("V %d U Resto %lld %lld %lld\n",v,1LL*v1*v2*v3,1LL*v2*v1*(v1 - 1),1LL*v2*v1*(v1 - 1));
//printf("V escolhe 3 %d %lld\n",v,1LL*v1*(v1-1)*(v1 - 2));
}
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:85:7: 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:87:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d",&e1[i],&e2[i]);
~~~~~^~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
9720 KB |
Output is correct |
2 |
Correct |
11 ms |
9968 KB |
Output is correct |
3 |
Correct |
13 ms |
9968 KB |
Output is correct |
4 |
Correct |
14 ms |
9992 KB |
Output is correct |
5 |
Correct |
13 ms |
9992 KB |
Output is correct |
6 |
Correct |
11 ms |
9992 KB |
Output is correct |
7 |
Incorrect |
11 ms |
9992 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
9720 KB |
Output is correct |
2 |
Correct |
11 ms |
9968 KB |
Output is correct |
3 |
Correct |
13 ms |
9968 KB |
Output is correct |
4 |
Correct |
14 ms |
9992 KB |
Output is correct |
5 |
Correct |
13 ms |
9992 KB |
Output is correct |
6 |
Correct |
11 ms |
9992 KB |
Output is correct |
7 |
Incorrect |
11 ms |
9992 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
191 ms |
24468 KB |
Output is correct |
2 |
Correct |
179 ms |
25800 KB |
Output is correct |
3 |
Correct |
229 ms |
25800 KB |
Output is correct |
4 |
Correct |
216 ms |
27728 KB |
Output is correct |
5 |
Correct |
218 ms |
27728 KB |
Output is correct |
6 |
Correct |
222 ms |
28176 KB |
Output is correct |
7 |
Correct |
192 ms |
28648 KB |
Output is correct |
8 |
Correct |
281 ms |
30408 KB |
Output is correct |
9 |
Correct |
182 ms |
30408 KB |
Output is correct |
10 |
Correct |
189 ms |
31848 KB |
Output is correct |
11 |
Correct |
131 ms |
31848 KB |
Output is correct |
12 |
Correct |
132 ms |
32272 KB |
Output is correct |
13 |
Correct |
116 ms |
33312 KB |
Output is correct |
14 |
Correct |
138 ms |
34028 KB |
Output is correct |
15 |
Correct |
108 ms |
34572 KB |
Output is correct |
16 |
Correct |
113 ms |
34896 KB |
Output is correct |
17 |
Correct |
22 ms |
34896 KB |
Output is correct |
18 |
Correct |
20 ms |
34896 KB |
Output is correct |
19 |
Correct |
19 ms |
34896 KB |
Output is correct |
20 |
Correct |
21 ms |
34896 KB |
Output is correct |
21 |
Correct |
17 ms |
34896 KB |
Output is correct |
22 |
Correct |
16 ms |
34896 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
34896 KB |
Output is correct |
2 |
Correct |
14 ms |
34896 KB |
Output is correct |
3 |
Correct |
13 ms |
34896 KB |
Output is correct |
4 |
Correct |
13 ms |
34896 KB |
Output is correct |
5 |
Correct |
14 ms |
34896 KB |
Output is correct |
6 |
Correct |
15 ms |
34896 KB |
Output is correct |
7 |
Correct |
16 ms |
34896 KB |
Output is correct |
8 |
Correct |
13 ms |
34896 KB |
Output is correct |
9 |
Correct |
12 ms |
34896 KB |
Output is correct |
10 |
Correct |
13 ms |
34896 KB |
Output is correct |
11 |
Correct |
15 ms |
34896 KB |
Output is correct |
12 |
Correct |
15 ms |
34896 KB |
Output is correct |
13 |
Correct |
13 ms |
34896 KB |
Output is correct |
14 |
Correct |
13 ms |
34896 KB |
Output is correct |
15 |
Correct |
14 ms |
34896 KB |
Output is correct |
16 |
Correct |
11 ms |
34896 KB |
Output is correct |
17 |
Correct |
13 ms |
34896 KB |
Output is correct |
18 |
Correct |
14 ms |
34896 KB |
Output is correct |
19 |
Correct |
12 ms |
34896 KB |
Output is correct |
20 |
Correct |
15 ms |
34896 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
220 ms |
39612 KB |
Output is correct |
2 |
Correct |
177 ms |
40952 KB |
Output is correct |
3 |
Correct |
229 ms |
41948 KB |
Output is correct |
4 |
Correct |
200 ms |
43232 KB |
Output is correct |
5 |
Correct |
209 ms |
44620 KB |
Output is correct |
6 |
Correct |
258 ms |
49844 KB |
Output is correct |
7 |
Correct |
227 ms |
49844 KB |
Output is correct |
8 |
Correct |
285 ms |
49844 KB |
Output is correct |
9 |
Correct |
189 ms |
49844 KB |
Output is correct |
10 |
Correct |
208 ms |
49844 KB |
Output is correct |
11 |
Correct |
186 ms |
49844 KB |
Output is correct |
12 |
Correct |
167 ms |
49844 KB |
Output is correct |
13 |
Correct |
260 ms |
49844 KB |
Output is correct |
14 |
Correct |
162 ms |
49844 KB |
Output is correct |
15 |
Correct |
159 ms |
49844 KB |
Output is correct |
16 |
Correct |
114 ms |
49844 KB |
Output is correct |
17 |
Correct |
89 ms |
49844 KB |
Output is correct |
18 |
Correct |
97 ms |
49844 KB |
Output is correct |
19 |
Correct |
134 ms |
49844 KB |
Output is correct |
20 |
Correct |
154 ms |
49844 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
49844 KB |
Output is correct |
2 |
Correct |
13 ms |
49844 KB |
Output is correct |
3 |
Incorrect |
14 ms |
49844 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
181 ms |
49844 KB |
Output is correct |
2 |
Correct |
211 ms |
49844 KB |
Output is correct |
3 |
Incorrect |
253 ms |
49844 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
9720 KB |
Output is correct |
2 |
Correct |
11 ms |
9968 KB |
Output is correct |
3 |
Correct |
13 ms |
9968 KB |
Output is correct |
4 |
Correct |
14 ms |
9992 KB |
Output is correct |
5 |
Correct |
13 ms |
9992 KB |
Output is correct |
6 |
Correct |
11 ms |
9992 KB |
Output is correct |
7 |
Incorrect |
11 ms |
9992 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
9720 KB |
Output is correct |
2 |
Correct |
11 ms |
9968 KB |
Output is correct |
3 |
Correct |
13 ms |
9968 KB |
Output is correct |
4 |
Correct |
14 ms |
9992 KB |
Output is correct |
5 |
Correct |
13 ms |
9992 KB |
Output is correct |
6 |
Correct |
11 ms |
9992 KB |
Output is correct |
7 |
Incorrect |
11 ms |
9992 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |