#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef pair<int, int> pi;
#define debug(x) cerr << #x << ": " << x << endl;
#define debug2(x, y) debug(x) debug(y);
#define repn(i, a, b) for(int i = (int)(a); i < (int)(b); i++)
#define rep(i, a) for(int i = 0; i < (int)(a); i++)
#define all(v) v.begin(), v.end()
#define mp make_pair
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define fi first
#define se second
#define sq(x) ((x) * (x))
template<class T> T gcd(T a, T b){ return ((b == 0) ? a : gcd(b, a % b)); }
int n, m;
vi vis2;
vi g[100005];
bool dfs(int cur, int mid, int fin, bool fnd, vi vis){
vis[cur] = 1;
if(cur == mid) fnd = 1;
if(cur == fin){
if(fnd) return 1;
return 0;
}
int ret = 0;
for(int u : g[cur]) if(!vis[u]){
ret |= dfs(u, mid, fin, fnd, vis);
if(ret) break;
}
return ret;
}
bool check(int st, int mid, int fin){
vis2.assign(n, 0);
return dfs(st, mid, fin, 0, vis2);
}
ll ans1 = 0;
int vis1[100005];
int vis3[100005];
ll d[100005];
void dfs1(int cur){
//initial traversal to compute the subtree sizes
vis1[cur] = 1;
d[cur] = 1;
for(int u : g[cur]) if(!vis1[u]){
dfs1(u);
d[cur] += d[u];
}
}
void dfs2(int cur){
vis3[cur] = 1;
//ans1 += (d[cur] - 1) * (n - 1 - d[cur]);
ll sm = 0;
for(int u : g[cur]) if(!vis3[u]){
ans1 += d[u] * (n - d[u]);
sm += d[u];
}
ans1 += (n - 1 - d[cur]) * sm;
for(int u : g[cur]) if(!vis3[u]) dfs2(u);
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
//freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
cin >> n >> m;
rep(i, m){
int a, b;
cin >> a >> b;
a--, b--;
g[a].pb(b);
g[b].pb(a);
}
if(n <= 10 && m <= 100){
int ans = 0;
rep(i, n) repn(k, i + 1, n) rep(j, n) if(j != i && j != k) if(check(i, j, k)) ans += 2;
cout << ans << endl;
}
else{ //(we assume there are no cycles)
//find the number of nodes in each subtree so the ans is that * the rest - 1
//so for node d
// d
// / \
// d1 d2
//
// so it is subtree of (d1 * d2) + (d1 * therest) + (d2 * therest)
//
// if it is not a tree, take all nodes
//
// that are its kids, the process is similar
memset(vis1, 0, sizeof(vis1));
memset(vis3, 0, sizeof(vis3));
memset(d, 0, sizeof(d));
rep(i, n) if(!vis1[i]) dfs1(i);
//there is no guarantee that the graph is connected
rep(i, n) if(!vis3[i]) dfs2(i); //traverse it in the same order
cout << ans1 << endl;
}
return 0;
}
/*
Things to look out for:
- Integer overflows
- Array bounds
- Special cases
Be careful!
*/
Compilation message
count_triplets.cpp:97:3: warning: multi-line comment [-Wcomment]
// / \
^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
2680 KB |
Output is correct |
2 |
Correct |
4 ms |
2680 KB |
Output is correct |
3 |
Correct |
4 ms |
2680 KB |
Output is correct |
4 |
Correct |
4 ms |
2680 KB |
Output is correct |
5 |
Correct |
4 ms |
2680 KB |
Output is correct |
6 |
Correct |
4 ms |
2680 KB |
Output is correct |
7 |
Correct |
4 ms |
2680 KB |
Output is correct |
8 |
Correct |
6 ms |
2680 KB |
Output is correct |
9 |
Correct |
4 ms |
2684 KB |
Output is correct |
10 |
Correct |
4 ms |
2680 KB |
Output is correct |
11 |
Correct |
4 ms |
2680 KB |
Output is correct |
12 |
Correct |
4 ms |
2680 KB |
Output is correct |
13 |
Correct |
4 ms |
2680 KB |
Output is correct |
14 |
Correct |
4 ms |
2680 KB |
Output is correct |
15 |
Correct |
4 ms |
2680 KB |
Output is correct |
16 |
Correct |
4 ms |
2680 KB |
Output is correct |
17 |
Correct |
4 ms |
2680 KB |
Output is correct |
18 |
Correct |
4 ms |
2680 KB |
Output is correct |
19 |
Correct |
4 ms |
2680 KB |
Output is correct |
20 |
Correct |
4 ms |
2680 KB |
Output is correct |
21 |
Correct |
4 ms |
2680 KB |
Output is correct |
22 |
Correct |
4 ms |
2680 KB |
Output is correct |
23 |
Correct |
4 ms |
2680 KB |
Output is correct |
24 |
Correct |
4 ms |
2680 KB |
Output is correct |
25 |
Correct |
4 ms |
2680 KB |
Output is correct |
26 |
Correct |
4 ms |
2680 KB |
Output is correct |
27 |
Correct |
4 ms |
2680 KB |
Output is correct |
28 |
Correct |
4 ms |
2680 KB |
Output is correct |
29 |
Correct |
4 ms |
2680 KB |
Output is correct |
30 |
Correct |
4 ms |
2680 KB |
Output is correct |
31 |
Correct |
5 ms |
2680 KB |
Output is correct |
32 |
Correct |
4 ms |
2680 KB |
Output is correct |
33 |
Correct |
4 ms |
2680 KB |
Output is correct |
34 |
Correct |
4 ms |
2680 KB |
Output is correct |
35 |
Correct |
4 ms |
2680 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
2680 KB |
Output is correct |
2 |
Correct |
4 ms |
2680 KB |
Output is correct |
3 |
Correct |
4 ms |
2680 KB |
Output is correct |
4 |
Correct |
4 ms |
2680 KB |
Output is correct |
5 |
Correct |
4 ms |
2680 KB |
Output is correct |
6 |
Correct |
4 ms |
2680 KB |
Output is correct |
7 |
Correct |
4 ms |
2680 KB |
Output is correct |
8 |
Correct |
6 ms |
2680 KB |
Output is correct |
9 |
Correct |
4 ms |
2684 KB |
Output is correct |
10 |
Correct |
4 ms |
2680 KB |
Output is correct |
11 |
Correct |
4 ms |
2680 KB |
Output is correct |
12 |
Correct |
4 ms |
2680 KB |
Output is correct |
13 |
Correct |
4 ms |
2680 KB |
Output is correct |
14 |
Correct |
4 ms |
2680 KB |
Output is correct |
15 |
Correct |
4 ms |
2680 KB |
Output is correct |
16 |
Correct |
4 ms |
2680 KB |
Output is correct |
17 |
Correct |
4 ms |
2680 KB |
Output is correct |
18 |
Correct |
4 ms |
2680 KB |
Output is correct |
19 |
Correct |
4 ms |
2680 KB |
Output is correct |
20 |
Correct |
4 ms |
2680 KB |
Output is correct |
21 |
Correct |
4 ms |
2680 KB |
Output is correct |
22 |
Correct |
4 ms |
2680 KB |
Output is correct |
23 |
Correct |
4 ms |
2680 KB |
Output is correct |
24 |
Correct |
4 ms |
2680 KB |
Output is correct |
25 |
Correct |
4 ms |
2680 KB |
Output is correct |
26 |
Correct |
4 ms |
2680 KB |
Output is correct |
27 |
Correct |
4 ms |
2680 KB |
Output is correct |
28 |
Correct |
4 ms |
2680 KB |
Output is correct |
29 |
Correct |
4 ms |
2680 KB |
Output is correct |
30 |
Correct |
4 ms |
2680 KB |
Output is correct |
31 |
Correct |
5 ms |
2680 KB |
Output is correct |
32 |
Correct |
4 ms |
2680 KB |
Output is correct |
33 |
Correct |
4 ms |
2680 KB |
Output is correct |
34 |
Correct |
4 ms |
2680 KB |
Output is correct |
35 |
Correct |
4 ms |
2680 KB |
Output is correct |
36 |
Incorrect |
6 ms |
4216 KB |
Output isn't correct |
37 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
94 ms |
11768 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
4344 KB |
Output is correct |
2 |
Correct |
6 ms |
4216 KB |
Output is correct |
3 |
Correct |
6 ms |
4344 KB |
Output is correct |
4 |
Correct |
6 ms |
4344 KB |
Output is correct |
5 |
Correct |
6 ms |
4344 KB |
Output is correct |
6 |
Correct |
6 ms |
4344 KB |
Output is correct |
7 |
Correct |
6 ms |
4344 KB |
Output is correct |
8 |
Correct |
6 ms |
4316 KB |
Output is correct |
9 |
Correct |
6 ms |
4316 KB |
Output is correct |
10 |
Incorrect |
6 ms |
4216 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
74 ms |
7484 KB |
Output is correct |
2 |
Correct |
69 ms |
8736 KB |
Output is correct |
3 |
Correct |
70 ms |
8748 KB |
Output is correct |
4 |
Correct |
69 ms |
8780 KB |
Output is correct |
5 |
Correct |
67 ms |
8668 KB |
Output is correct |
6 |
Correct |
99 ms |
10372 KB |
Output is correct |
7 |
Correct |
90 ms |
9692 KB |
Output is correct |
8 |
Correct |
74 ms |
9464 KB |
Output is correct |
9 |
Correct |
81 ms |
9336 KB |
Output is correct |
10 |
Incorrect |
71 ms |
8796 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
4344 KB |
Output is correct |
2 |
Correct |
6 ms |
4216 KB |
Output is correct |
3 |
Incorrect |
6 ms |
4344 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
66 ms |
7520 KB |
Output is correct |
2 |
Correct |
72 ms |
8672 KB |
Output is correct |
3 |
Incorrect |
77 ms |
8824 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
2680 KB |
Output is correct |
2 |
Correct |
4 ms |
2680 KB |
Output is correct |
3 |
Correct |
4 ms |
2680 KB |
Output is correct |
4 |
Correct |
4 ms |
2680 KB |
Output is correct |
5 |
Correct |
4 ms |
2680 KB |
Output is correct |
6 |
Correct |
4 ms |
2680 KB |
Output is correct |
7 |
Correct |
4 ms |
2680 KB |
Output is correct |
8 |
Correct |
6 ms |
2680 KB |
Output is correct |
9 |
Correct |
4 ms |
2684 KB |
Output is correct |
10 |
Correct |
4 ms |
2680 KB |
Output is correct |
11 |
Correct |
4 ms |
2680 KB |
Output is correct |
12 |
Correct |
4 ms |
2680 KB |
Output is correct |
13 |
Correct |
4 ms |
2680 KB |
Output is correct |
14 |
Correct |
4 ms |
2680 KB |
Output is correct |
15 |
Correct |
4 ms |
2680 KB |
Output is correct |
16 |
Correct |
4 ms |
2680 KB |
Output is correct |
17 |
Correct |
4 ms |
2680 KB |
Output is correct |
18 |
Correct |
4 ms |
2680 KB |
Output is correct |
19 |
Correct |
4 ms |
2680 KB |
Output is correct |
20 |
Correct |
4 ms |
2680 KB |
Output is correct |
21 |
Correct |
4 ms |
2680 KB |
Output is correct |
22 |
Correct |
4 ms |
2680 KB |
Output is correct |
23 |
Correct |
4 ms |
2680 KB |
Output is correct |
24 |
Correct |
4 ms |
2680 KB |
Output is correct |
25 |
Correct |
4 ms |
2680 KB |
Output is correct |
26 |
Correct |
4 ms |
2680 KB |
Output is correct |
27 |
Correct |
4 ms |
2680 KB |
Output is correct |
28 |
Correct |
4 ms |
2680 KB |
Output is correct |
29 |
Correct |
4 ms |
2680 KB |
Output is correct |
30 |
Correct |
4 ms |
2680 KB |
Output is correct |
31 |
Correct |
5 ms |
2680 KB |
Output is correct |
32 |
Correct |
4 ms |
2680 KB |
Output is correct |
33 |
Correct |
4 ms |
2680 KB |
Output is correct |
34 |
Correct |
4 ms |
2680 KB |
Output is correct |
35 |
Correct |
4 ms |
2680 KB |
Output is correct |
36 |
Incorrect |
6 ms |
4216 KB |
Output isn't correct |
37 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
2680 KB |
Output is correct |
2 |
Correct |
4 ms |
2680 KB |
Output is correct |
3 |
Correct |
4 ms |
2680 KB |
Output is correct |
4 |
Correct |
4 ms |
2680 KB |
Output is correct |
5 |
Correct |
4 ms |
2680 KB |
Output is correct |
6 |
Correct |
4 ms |
2680 KB |
Output is correct |
7 |
Correct |
4 ms |
2680 KB |
Output is correct |
8 |
Correct |
6 ms |
2680 KB |
Output is correct |
9 |
Correct |
4 ms |
2684 KB |
Output is correct |
10 |
Correct |
4 ms |
2680 KB |
Output is correct |
11 |
Correct |
4 ms |
2680 KB |
Output is correct |
12 |
Correct |
4 ms |
2680 KB |
Output is correct |
13 |
Correct |
4 ms |
2680 KB |
Output is correct |
14 |
Correct |
4 ms |
2680 KB |
Output is correct |
15 |
Correct |
4 ms |
2680 KB |
Output is correct |
16 |
Correct |
4 ms |
2680 KB |
Output is correct |
17 |
Correct |
4 ms |
2680 KB |
Output is correct |
18 |
Correct |
4 ms |
2680 KB |
Output is correct |
19 |
Correct |
4 ms |
2680 KB |
Output is correct |
20 |
Correct |
4 ms |
2680 KB |
Output is correct |
21 |
Correct |
4 ms |
2680 KB |
Output is correct |
22 |
Correct |
4 ms |
2680 KB |
Output is correct |
23 |
Correct |
4 ms |
2680 KB |
Output is correct |
24 |
Correct |
4 ms |
2680 KB |
Output is correct |
25 |
Correct |
4 ms |
2680 KB |
Output is correct |
26 |
Correct |
4 ms |
2680 KB |
Output is correct |
27 |
Correct |
4 ms |
2680 KB |
Output is correct |
28 |
Correct |
4 ms |
2680 KB |
Output is correct |
29 |
Correct |
4 ms |
2680 KB |
Output is correct |
30 |
Correct |
4 ms |
2680 KB |
Output is correct |
31 |
Correct |
5 ms |
2680 KB |
Output is correct |
32 |
Correct |
4 ms |
2680 KB |
Output is correct |
33 |
Correct |
4 ms |
2680 KB |
Output is correct |
34 |
Correct |
4 ms |
2680 KB |
Output is correct |
35 |
Correct |
4 ms |
2680 KB |
Output is correct |
36 |
Incorrect |
6 ms |
4216 KB |
Output isn't correct |
37 |
Halted |
0 ms |
0 KB |
- |